A survey was taken of 100 potential voters, asking them which candidate they would vote for in a local election. The results are given in the table below.

CANDIDATE X Y Z
NUMBER OF SUPPORTERS 63 17 20

If 5000 people vote in the actual election, which is the best prediction for the number of votes for candidate X, based on the results of this poll?

630
850
1000
3150

Answers

Answer 1
Candidate X won 63 out of the 100 "votes" of the poll participants.

So candidate X won 63% of the votes in the poll. 


This means that candidate X is expected to win the elections by a percentage close to 63%.

63% of the voters is (63/100)*5000=63*50=3150 voters


Answer: 3150



Related Questions

To do linear regression, there must be paired scores on two variables.

Answers

True or False question, I would say that it's true.

rounding to estimate the difference of 18.14 - 9.88

Answers

Answer:

18.14 rounds to 18 because you look at the 1 and (0, 1, 2, 3, 4) tell you to round down.  That means 18.14 rounds down to 18

9.88 rounds to 10 because you look at the first 8 and (5, 6, 7, 8, 9) tell you to round up.  That means 9.88 rounds up to 10.

Now it's just simple math.  18-10 = 8

Step-by-step explanation:

Answer:

18.14 rounds to 18 because you look at the 1 and (0, 1, 2, 3, 4) tell you to round down.  That means 18.14 rounds down to 18

9.88 rounds to 10 because you look at the first 8 and (5, 6, 7, 8, 9) tell you to round up.  That means 9.88 rounds up to 10.

18-10=8.

there are 24 students in science class. mr james will give each pair of students 3 magnets . so far ,mr James has given 9 pairs of students their magnets . how many magnets doses mr james need sp that each pair of students has exactly 3 magnes?

Answers

24/2 = 12 pairs of students

 if he gave 9 pairs of students magnets there are 12-9 = 3 pairs left

3 magnets per pair

3*3 = 9 more magnets are needed

Answer:

the answer is d

Step-by-step explanation:

write the fraction in simplest form 8/10

Answers

[tex] \frac{8}{10} = \frac{4}{5}
divide by 2 each
\frac{4}{y 5} is the simplest form

The simplest form of 8/10 is 4/5.

Given,

8/10

We need to write it in the simplest form.

What is the simplest form of a given fraction?

It means that there is no common factor between the numerator and the denominator other than 1.

Example:

4/8

4 = Numerator

8 = Denominator

4 = 4 x 1

8 = 4 x 2

= 4 x 1 / 4 x 2

Cancel the common factor 4.

= 1/2 is the simplest form of 4/8

Find the simplest form of 8/10.

= 8/10

Look for a common factor.

= 2 x 4 / 2 x 5

Cancel the common factor 2.

= 4 / 5

Now we do not see any common factor.

= 4/5

Thus the simplest form of 8/10 is 4/5.

Learn more about converting given fractions into the simplest form here:

https://brainly.com/question/540029

#SPJ2

How are the variables on the graph related?

Answer choices:

A. As speed decreases, height stays constant.

B. As speed decreases, height increases.

C. As speed increases, height decreases.

D. As speed increases, height increases.

Answers

The graph demonstrates a uniform relationship between speed and height, indicating that as speed increases, height also increases. Therefore, the correct answer is:

D. As speed increases, height increases.

The Graph indicates a uniform relationship between speed and height. To interpret this in the context of the answer choices:

D. As speed increases, height increases.

This is the most appropriate choice based on the information provided. In a uniform relationship, as speed increases, the corresponding height also increases. Therefore, Option D accurately captures the relationship depicted on the graph.

Determine the number of solutions for the system y-3x=2 and 2y-6x=2

Answers

Equation 1)  y - 3x = 2
Equation 2)  2y - 6x = 2

Rearrange both equations so that it is standard form (Ax+Bx=C)

1)  -3x + y = 2
2)  -6x + 2y = 2

Then, multiply ALL of equation 1 by two.

1)  2(-3x + y = 2)

Simplify.

1)  -6x + 2y = 4
2)  -6x + 2y = 2

Subtract equations from one another.

0 = 2

Therefore there are no solutions for this system of equations.

~Hope I helped!~


A bar of soap weighs as much as 3/4 of an identical bar plus 3/4 of a pound. How much does the bar of soap weigh?

Answers

3/4=0.75
Since 3/4 (of the bar) + 1/4 (of the bar) equals a whole bar (1), and 3/4 (of the bar) + 0.75 equals the whole weight of the bar, 0.75 is 1/4 of the bar. 1/4 times 4 equals 1, and 0.75 times 4 equals 3, so the bar of soap weighs 3 pounds.

The weight of the bar of soap can be found by setting up the equation [tex]w = \(\frac{3}{4}w + \frac{3}{4}\)[/tex] and solving for 'w', which results in the soap weighing 3 pounds.

To find the weight of the bar of soap, we can set up an equation based on the given information. Let's define the weight of the soap as 'w'. According to the problem, the weight of the soap is equal to [tex]\frac{3}{4}[/tex] of itself plus [tex]\frac{3}{4}[/tex] of a pound, which can be written as:

[tex]w = \(\frac{3}{4}w + \frac{3}{4}\)[/tex]

Now, to solve for 'w', we need to isolate it on one side of the equation. We can do this by subtracting [tex]\(\frac{3}{4}w\)[/tex] from both sides:

[tex]w - \(\frac{3}{4}w\) = \(\frac{3}{4}\)[/tex]

This simplifies to [tex]\(\frac{1}{4}w\) = \(\frac{3}{4}\)[/tex], so when we multiply both sides by 4 to solve for 'w', we get:

w = 3 pounds

Therefore, the bar of soap weighs 3 pounds.

How many radians are in one degree, accurate to three decimal places?

Answers

now, if you recall, there are 180° in π radians, now, so how many radians in 1°?

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\ 1&r \end{array}\implies \cfrac{180}{1}=\cfrac{\pi }{r}\implies r=\cfrac{1\cdot \pi }{180}[/tex]
Final answer:

One radian is approximately 0.0175 degrees. To convert from radians to degrees, multiply the radians value by 57.3°. This conversion is commonly used in mathematics and physics.

Explanation:

One radian is equal to approximately 0.0175 degrees. To convert from radians to degrees, you can use the conversion factor of 1 radian = 57.3°. So, to convert an angle from degrees to radians, you can multiply the degrees value by 0.0175. This conversion can be used when working with angular measurements in mathematics and physics.

Learn more about Radians and degrees here:

https://brainly.com/question/30033928

#SPJ2

A reconnaissance airplane P, flying at 19,000 feet above a point R on the surface of the water, spots a submarine S at an angle of depression of β = 21° and a tanker T at an angle of depression of α = 33°, as shown in the figure. In addition, ∠SPT is found to be γ = 119°. Approximate the distance between the submarine and the tanker.

Answers

The solution for the problem is:

Tan 33(degrees) = opposite/adjacent 

Starting off with the submarine, find how far it is from point R. 

Tan 21 = 19,000/x 

or 

19,000/Tan 21= x 

x = 49496.69 feet the submarine is from point R. 



Now, find how far the tanker is from point R. 

Tan 33= 19,000/x 

or 

19,000/Tan 33 = x 

x = 29257.43 feet the tanker is from point R. 

Now subtract and the difference would be the answer

= 49496.69 - 29257.43


The tanker and sub are 20239.26  feet away from each other. 

Explain how you can use doubles when multiplying with 4 to find 4x8

Answers

Multiplying by 4 using the doubles strategy utilizes the fact that 4 is double of 2. Hence, 4 time any number is double of 2 times that number.

Thus, given 4 x 8, it can be evaluated using the double strategy as follows 2 x 8 + 2 x 8 = 16 + 16 = 32.

Hopes it helps!

: )

Answer:

Here,

4 × 8 = 32

Now,

using the doubles when multiplying with 4

2 × (4 × 4)

= 2 × 16

= 32

Hence,

we use the doubles this way as by doubling the result obtained on multiplying the 4 with 4

Step-by-step explanation:

Here,

4 × 8 = 32

Now,

using the doubles when multiplying with 4

2 × (4 × 4)

= 2 × 16

= 32

Hence,

we use the doubles this way as by doubling the result obtained on multiplying the 4 with 4

or

double the number 4 i.e 2 × 4 = 8

then again double the result i.e  2 × 8 = 16

and, again double the result i.e 2 × 16 = 32 which the required answer.

Sarah cut 6 yards of ribbon from a spool. How much did she cut in inches?

Answers

It would be 216 inches because there are 36 inches in a yard which you would multiply by 6 to get the answer
6 yards equals 3*6 then times that by 12.
Answer: 216

How far will a cyclist travel in 1/4hour if he cycles at 18km per hour?

Answers

If he’s cycling at 18 km per hour then it means that in 15 min (1/4 of the hour) he cycles at 4,5 km cause 18:4=4,5km

Which of the following statements are equivalent to the statement "price increased by 1/2 "?

Choose all correct answers.

(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2 3 % of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before

Answers

Correct answers to the statement that the price increased by 1/2 are: (B) The price is 150% of the price before and (E) The price is now 1.5 of what it was before. All other options either imply the price doubled, decreased, or was halved, which are not equivalent to an increase by half.

When it is stated that the price increased by 1/2, it means that the new price is the original price plus half of the original price. This is equivalent to multiplying the original price by 1.5. Let's evaluate the provided options:

(A) The price doubled - This would mean the new price is twice the original price, or the original price multiplied by 2, which is incorrect.(B) The price is 150% of the price before - This is correct because 150% implies the original price plus 50% of the original price, which matches our initial statement.(C) The price was reduced by a quarter - This would mean the new price is 75% of the original price, which is incorrect.(D) The price became a half of what it was before - This means the new price is half the original price, which is incorrect.(E) The price is now 1.5 of what it was before - This is correct, as it directly states that the new price is 1.5 times the original price.(F) The price now is 66 2/3% of what it was before - This would imply a decrease in price, which is incorrect.(G) The price now is 200% of what it was before - This implies the price doubled, which is not the case.(H) The price is 75% of what it was before - This would mean the price decreased, which is incorrect.

Therefore, the correct answers to the statement "price increased by 1/2" are (B) The price is 150% of the price before and (E) The price is now 1.5 of what it was before.

The equivalent statements are (B) "The price is 150% of the price before" and (E) "The price is now 1.5 of what it was before".

To determine which statements are equivalent to the statement "price increased by 1/2", let's analyze each option:

(A) The price doubled:

This statement is not equivalent because doubling the price means multiplying it by 2, which is an increase of 100%.

(B) The price is 150% of the price before:

This statement is equivalent. Increasing by 1/2 is equivalent to increasing by 50%, which makes the new price 150% of the original price.

(C) The price was reduced by a quarter:

This statement is not equivalent because reducing by a quarter means subtracting 25%, not adding 50%.

(D) The price became a half of what it was before:

This statement is not equivalent because it implies a decrease to half, whereas the original statement implies an increase by half.

(E) The price is now 1.5 of what it was before:

This statement is equivalent. If the price is increased by 1/2, it becomes 1 + 1/2 = 1.5 times the original price.

(F) The price now is 66 2/3 % of what it was before:

This statement is not equivalent. 66 2/3 % represents a decrease, not an increase.

(G) The price now is 200% of what it was before:

This statement is not equivalent because 200% represents a doubling, not an increase of 1/2.

(H) The price is 75% of what it was before:

This statement is not equivalent because 75% represents a decrease, not an increase.

So, the equivalent statements are (B) and (E).

The length of a rectangle is 5 less than twice the width. If the perimeter of the rectangle is 146 centimeters, find the dimensions of the rectangle.

Answers

Length of rectangle = 5 less than 2x width
Perimeter = 146 cm

Equations we will use...
w = width
(2w - 5) = length (l)
perimeter (p) = 2(l + w)

Substitute equation for length into equation for perimeter
p = 2(l + w)
146 = 2((2w - 5) + w)     
[use distributive prop.]
146 = 4w - 10 + 2w        [combine like terms]
146 = 6w -10                  
[solve for w]
156 = 6w
w = 26 cm

Now substitute width back into the equation for length...
l = 2w - 5
l = 2(26) - 5
l = 47

Double check to make sure values added up to 146 cm
w + w + l + l = 146
26 + 26 + 47 + 47 = 146
146 = 146

Therefore, the width is 26 cm and the length is 47 cm.


The dimension of the rectangle should be 47cm and 26 cm respectively.

Given that,

The perimeter of the rectangle is 146 cm.And, the length is 5 less than twice the width. Here we assume the length be x and the width be y.

Based on the above information,

We know that

The perimeter of the rectangle = 2(l + w)

w = width

(2w - 5) = length

So,

146 = 2(2w - 5 + w)

146  = 4w - 10 + 2w

156 = 6w

w = 26 cm

And, the length is

= 2(26) - 5

= 47 cm

Therefore we can conclude that the dimension of the rectangle should be 47cm and 26 cm respectively.

Learn more: brainly.com/question/16167300

22x(4+16)-78x3 how do solve GEMDAS

Answers

Hello!

To solve this problem, we are going to use PEMDAS. First, let's write the problem.
[tex]22\left(4+16\right)-78\cdot \:3[/tex]
Parenthesis first, [tex]4+16=20[/tex]
[tex]=22\cdot \:20-78\cdot \:3[/tex]
Multiply and Divide from left to right. [tex]22\cdot \:20=440[/tex]
[tex]=440-78\cdot \:3[/tex]
We got another multiplication operation left... [tex]-78\cdot \:3=-234[/tex]
[tex]=440-234[/tex]
Subtract. [tex]440-234=206[/tex]
[tex]=206[/tex]

Our final answer would be [tex]206[/tex].

You can feel free to let me know if you have any questions regarding this!
Thanks!

- TetraFish

Answer: 206

Step-by-step explanation:

22(4+16)-(78)(3)

(22)(20)-(78)(3)

440-(78)(3)

440-234=

206

°ω°

What is the maximum percentage of net spendable income that should be set aside for housing?

Answers


The maximum percentage of net spendable income that you should spend on a house is 36%.

Answer:

The maximum percentage of net Spendable income that should be set aside for housing is given by  [tex]\frac{28}{36}[/tex] rule,which states that ,if your total gross income after deduction is $ x, then you should use 28% of your income for housing finances and 36 % of your income for debt Purpose.

So, Maximum percentage of net spendable income that should be set aside for housing=28% of total gross income

Find the value of x so that the function has the given value.

 j(x)=−4/5x+7; j(x)=−5

Answers

Sub j(x)=-5 into the first eq.
-5=(4/5x)+7
Add 7 to both sides
2=4/5x
Muliply both sides times 5x
10x=4
Divide both sides by 10
X=4/10
Simplify
X=2/5

You want to place a towel bar that is 24 1⁄4 centimeters long in the center of a door that is 70 1⁄3 centimeters wide. How far should you place the bar from each edge of the door?

Answers

Subtract the width of the towel bar from the width of the door and divide by 2.

     70 1/3
 -   24 1/4
--------------

You need a common denominator to subtract the fractions. The LCD is 12,so we can rewrite the subtraction using the LCD.

     70 4/12
 -   24 3/12
--------------
     46 1/12

Now you need to divide 46 1/12 by 2.

46/2 = 23

(1/12) / 2 = 1/24

The answer is 23 1/24 cm

Answer:

You should place it 23 1/24 centimeters from each edge.

Step-by-step explanation:

The towel bar will be in the center in the door so the space between the edge of the door and each side of the bar is equal in the left and the right of the door. So lets define:

x: distance between edge of door and the towel bar edge.

We see that x is the distance left in both sides of the towel bar from the door so:

x+24 (1/4) +x = 70 (1/3)

2x + 24 (1/4)  =  70 (1/3)

2x=   70 (1/3) -  24 (1/4)

To operate the fractions , we need a common denominator that can be obtained simply by multiplying both denominators 4* 3=12

We then subtract the whole numbers and fractions

2x=   70 (4/12) -  24 (3/12) =  =( 46 1/12)

x= ( 46 1/12) / 2 = 23 (1/24)

Parks spent 1/3 of his money on a sweater. He spent 3/5 of the remainder on a pair of jeans. If he has $36 left, how much did the sweater cost?

Answers

1/3x + 3/5 * 2/3x = x - 36

1/3x + 6/15x = x - 36

11/15x = x - 36

4/15x = 36

x = 135

sweater costs 1/3x = 45

hope that helps, God bless!
Parks had $270 in the beginning, he wasted 1/3 of it so it became $180. He spent 3/5 of the $180 which is $108. The sweater Parks bought costed $90. If you do the math the opposite, it would be 36*5=180 - 180/2=90. 90*3=270. $90 is the answer.

△EFG≅△JKL . What is m∠K ?

Answers

The two triangles are congruent, so the corresponding angles are the same, K is the mid-late phase of JKL, so K is the same as the mid-late phase of EFG. Therefore K = F = 62°.

What is compromise?

If a geometric shape can be placed on top of another so that all its points coincide, the geometry is said to be congruent or harmonious. >

Now that K is JKL, K will be similar to EFG's mid and late game.

Middle and late phase of EFG = F

M∠F = 62°

Therefore m∠K = m∠F = 62°

So "The two triangles are congruent, so the corresponding angles will be the same. K is at the end of JKL, so K will be the same as the end of EFG. So, K = F = 62°."

The probable question maybe:

In a triangle EFG and LJK, we are given angle G = 53 degree and angle F is 62 degree. △EFG≅△JKL. find the value of  m∠K ?

Choose ALL that apply:

The executor of an estate does the following.
creates a will
takes an inventory of the estate's asset's
gives medical advice
gives financial advice
handles financial matters as designated in the will

Answers

The executor of an estate handle the financial matters, D
They also handle the property and everything else owned by their deceased client. including the sortment or thier "will".

2 out of 10 people have an allergic reaction to a new medicine. What is the probability that exactly 4 out of 10 people given the medicine experience an allergic reaction?

Answers

I would say about 1/10. Hope this helps!

The probability that exactly 4 out of 10 people given the medicine experience an allergic reaction is approximately 0.087 or 8.7%.

To find the probability that exactly 4 out of 10 people experience an allergic reaction to the new medicine, we use the binomial probability formula:

[tex]\[ P(X = k) = \binom{n}{k} \times p^k \times (1 - p)^{n - k} \][/tex]

Where:

( n ) is the number of trials (in this case, 10 people)

( k ) is the number of successes (in this case, 4 people)

( p ) is the probability of success on each trial (in this case, the probability of having an allergic reaction, which is 2 out of 10, or 0.2)

Now let's calculate:

[tex]\[ P(X = 4) = \binom{10}{4} \times 0.2^4 \times (1 - 0.2)^{10 - 4} \][/tex]

[tex]\[ P(X = 4) = \frac{10!}{4!(10-4)!} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = \frac{10!}{4! \times 6!} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = \frac{10 \times 9 \times 8 \times 7}{4 \times 3 \times 2 \times 1} \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = 210 \times 0.2^4 \times 0.8^6 \][/tex]

[tex]\[ P(X = 4) = 210 \times 0.0016 \times 0.262144 \][/tex]

[tex]\[ P(X = 4) = 0.08704 \][/tex]

So, the probability that exactly 4 out of 10 people given the medicine experience an allergic reaction is approximately 0.087 or 8.7%.

The product of two integers is 72. One number is two less than five times the other.

Which of the following equations could be used to find one of the numbers?

2x^2 - 5 = 72
2x^2 - 5x = 72
5x^2 - 2x = 72
5x^2 - 2 = 72

Answers

other number: x
one number: 5x - 2

x (5x - 2)=72
5x^2 - 2x = 72

Answer:

[tex]5x^{2}-2x=72[/tex]

Step-by-step explanation:

Let

y------> one integer number

x----> the other integer number

we know that

[tex]xy=72[/tex] ----> equation A

[tex]y=5x-2[/tex] -----> equation B

substitute equation B in equation A

[tex]x(5x-2)=72[/tex]

[tex]5x^{2}-2x=72[/tex]

The standard deviation of the sampling distribution of x overbarx​, denoted sigma subscript x overbarσx​, is called the

Answers

This is called as the standard error of the mean. Standard error is a numerical term that calculates the accurateness with which a sampling embodies a populace or population. In statistics, a sample mean moves away from the real mean of a population; this deviancy is the standard error.

An oil spill spreads 25 square meters every 16
hour. How much area does the oil spill cover after 2 hours?

Answers

First, divide 2 and 16 and you get 8 then, multiply 25 times 8. I think.

Use the formula for Interest:
P = 100
r = 7.2%
Y = 5
A = ?

Answers

[tex]\bf \qquad \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$100\\ r=rate\to 7.2\%\to \frac{7.2}{100}\to &0.072\\ t=years\to &5 \end{cases} \\\\\\ A=100(1+0.072\cdot 5)[/tex]

When x = 1 then y equals

Answers

Y =2  because x = 1 bro

If x = 1, then the value of y in the equation [tex]\frac{4}{x}[/tex] + [tex]\frac{3}{y}[/tex] = 5 equals

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

4 / x + 3 / y = 5

We have to find the value of y, when the value of x = 1.

Substitute x = 1 in the equation.

4/1 + 3/y = 5

4 + 3/y = 5

3/y = 5 - 4

3/y = 1

y = 3/1

y = 3

Hence the value of y is 3.

Learn more about Equations here :

https://brainly.com/question/10413253

#SPJ2

The question is incomplete. The complete question is as follows.

If x = 1, then the value of y in the equation [tex]\frac{4}{x}[/tex] + [tex]\frac{3}{y}[/tex] = 5 equals ?

List two actions a person can take to minimize the fees paid to a bank.

ANSWER:
1. Keep good records to avoid overdraft fees.
2. Be sure to check banks carefully. Look at the services to see if the bank charges fees for those services. Compare multiple banks before settling with one.

Answers

Answer:

First, keep good records to avoid overdraft fees. Second, be sure to check banks out carefully. Look at the services you will most likely need and see whether the bank charges fees for those services. Compare several different banks before opening an account in one of them.

Step-by-step explanation:

Plato answer

Which equation is an identity?


7m – 5 = 8m + 7 – m


3w + 8 – w = 4w – 2(w – 4)


9 – (2v + 3) = –2v – 6


–3y + 3 = –3y – 6

Please explain your answer.

Answers

The equation that represents an identity is 
3w + 8 – w = 4w – 2(w – 4). w = 8

Answer:

The correct option is 2.

Step-by-step explanation:

The equations that are true for any value of the variable, no matter what value is plugged in for the variable, then they are called Identity equations.

The first equation is

[tex]7m-5=8m+7-m[/tex]

[tex]7m-5=7m+7[/tex]

Subtract 7m from both the sides.

[tex]-5=7[/tex]

This statement is false for any value of m. Therefore this is not an Identity equation.

The second equation is

[tex]3w+8-w=4w-2(w-4)[/tex]

Using distributive property,

[tex]2w+8=4w-2w+8[/tex]

[tex]2w+8=2w+8[/tex]

[tex]0=0[/tex]

This statement is true for any value of w. Therefore this is an Identity equation.

The third equation is

[tex]9-(2v+3)=-2v-6[/tex]

[tex]9-2v-3=-2v-6[/tex]

[tex]-2v+6=-2v-6[/tex]

[tex]6=-6[/tex]

This statement is false for any value of v. Therefore this is not an Identity equation.

The fourth equation is

[tex]-3y+3=-3y-6[/tex]

Add 3y on both the sides.

[tex]3=-6[/tex]

This statement is false for any value of y. Therefore this is not an Identity equation.

Hence the correct option is 2.

A boat heads south at 1,200 mph while a steamer heads east at 500 mph. If they started from the same dock and at the same time, when will the distance between them be 1,300 mi?

Answers

If they started at a same time the distance between them will be 1300 mi exactly after an hour (1 hour). 

(1200 m/h)^2 + (500 m/h)^2 = (1300 m)^2 

Time is 1 Hour 

So the distance between the boat heads and steamer heads if they started the same time and be 1300 mi is 1 hour.

Answer: After t=1 hour the distance between the boat and the steamer be 1300 mi.


Step-by-step explanation:

Given the speed of boat = 1200 mph

the speed of steamer =500 mph

Distance traveled by boat in time "t"=[tex]\frac{distance}{time}=\frac{1200}{t}[/tex]

Distance traveled by steamer in time time "t"=[tex]\frac{500}{t}[/tex]

As boat head south and steamer heads east ∴ they will make a right angle triangle with hypotenuse=shortest distance between them =1300mi(given)

By Pythagoras theorem

[tex](Perpendicular)^2+(Base)^2=(Hypotenuse)^2\\\\\Rightarrow(\frac{1200}{t})^2+(\frac{500}{t})^2=(1300)^2\\\\\Rightarrow\frac{1440000}{t^2}+\frac{250000}{t^2}=1690000\\\\\Rightarrow\frac{1690000}{t^2}=1690000\\\\\Rightarrow\ t^2=\frac{1690000}{1690000}=1[/tex]

⇒t=1 hour

Thus, after t= 1 hour the distance between them be 1300 mi.

Other Questions
In Ovid's "The Story of Daedalus and Icarus," what happens to Icarus?A. He flies back to the island in order to fight Minos.B. He flies too close to the water and is caught in a fisherman's net and drowns.C. He flies too close to the sun, and he falls when the sun melts the wax holding his wings together.D. He makes it to land and raises an army to defeat Minos. Complete each sentence below with the correct form of ser or estar. Los alumnos ____________________ en la sala de clase. If the following fraction is reduced, what will be the exponent on the q? -5p^5q^4/ 8p^2q^2 Two investments were made totaling $15000. for a certain year these investments yielded $1432 in simple interest. part of the $15000 was invested at 9% and part at 10%. find the amount invested at each rate What does taking ownership of your own tasks mean (its not history lol sorry!) Careers with the _____ pathway involve actual building of apartment buildings and offices. Choose the answer. 3. (1 pt) Suzanne cut a ribbon into 9 equal pieces. She sewed 5 pieces onto her quilt. Which number line shows a dot representing the fraction of the ribbon that was sewn onto the quilt? A. B. C. D. In this particular arithmetic sequence, a7 = 50 and a15 = 114. What is the value of a21? Hint: an = a1 + d(n 1), where a1 is the first term and d is the common difference. Determine whether the underlined value is a parameter or a statistic.One of the greatest baseball hitters of all time has a career batting average of 0.366. Is it a statistic or a parameter What is the only connective tissue group that does not have a direct blood supply? *? One of the reasons for this is that our unconscious handwriting incorporates into it different mental, physical, and mechanical elements and it would be highly unlikely for two people to share exactly the same traits in these areas to produce the same handwriting.Is this statement true or false?A.) TrueB.)False Read the passage. when moritz was a freshman, he joined the school's drama club in an attempt to overcome his fear of public speaking. over the course of the next few years, moritz performed in every play the drama club presented. he also participated in the club's acting classes, where he learned how to speak loudly and clearly, how to memorize lines, and how to improvise. in his senior year, moritz landed a big speaking role, which he performed with panache. what is the theme of the passage? celebrity is its own reward. persistence pays off. beauty wins in the end. time heals all wounds. What process does carbon move from an abiotic resource into organic matter? Which type of economy has China has moved toward? A substance that is dissolved in another substance is which of the following?A)SaturationB)SolubilityC)SoluteD)Solvent What is one way the speaker of the house differs from the president of the Senate If a business wanted to play an artists song in the background of their website, it must first consider the _____ of the music to ensure no laws are being broken. Describing What advantages did the British hope to gain by limiting westward settlement in 1763? Time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 8 min and standard deviation 3 min. if five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (round your answer to four decimal places.) What value of k makes the statement true? xky4(2x3 + 7x2y4) = 2x4y4 + 7x3y8 k = Steam Workshop Downloader