The numbers 1 through 10 are put in one bag. The numbers 5 through 14 are put in another bag. When you pick one number from each bag, what is the probability you get the same number?

Answers

Answer 1

Answer:

0.06 or 6%

Step-by-step explanation:

Both bags have the numbers 5, 6, 7, 8, 9 and 10. Thus, there are 6 similar number in both bags.

The probability of picking the number 5 in both bags is:

P(5)= 1/10  * 1/10=  1/ 100

It is the same probability of picking the number 6 or 7 or 8 or 9 or 10 in both bags.

P ( 6)= 1/100

P ( 7 ) =  1 /100

P (8)=  1 /100

P ( 9 ) =  1 /100

P ( 10 ) = 1 /100


Related Questions

Find the area of the shape.

Answers

Answer:

The area is [tex]78.54units^2[/tex]

The area would be 78.5[tex]units^2[/tex] (pi=3.14)

Step-by-step explanation:

The formula for the area of a circle is : [tex]\pi *radius^2[/tex]

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.16.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314.16 by 4, this gives you 78.54. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

[tex]\pi*10^2=314.16^2[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 314.16 by 4.

[tex]314.16/4=78.54^2[/tex]

Pi=3.14:

To work the area of this quadrant you would first need to work out the area of the circle. You can do this by multiplying pi by the radius of 10 squared, this gives you 314.

The next step is to work out how much of the circle we need to work out the area for. As this is a right angle (90°) we know that this is [tex]\frac{1}{4}[/tex] of a circle. This is because the total of a circle is 360, and that by dividing 360 by 90, this gives you 4. This tells that this is a quarter of a circle.

The final step would be to divide the area of 314. by 4, this gives you 78.5. This is because we are using the area to work out the area of just one quadrant.

1) Multiply pi by 10 squared.

[tex]\pi*10^2=314^2[/tex]

2) Divide 360 by 90.

[tex]360/90=4[/tex]

3) Divide 314.16 by 4.

[tex]314/4=78.5^2[/tex]

A 100-foot rope from the top of a tree house to the ground forms a 45 degree angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot

Answers

Answer:

The top of the tree house is 70.71ft high

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

From the sketch we see that the rope at 45° and the tree house form a right angle triangle

Applying

SOH CAH TOA formula

using SOH

sin θ= h/100

h= sinθ*100

h= sin(45)*100

h= 0.7071*100

h= 70.71ft

In deciding where to have lunch, a group of friends
looks at the websites for 2 pizzerias, 3 drive-throughs,
and 2 diners.
How many choices are the friends considering?

Answers

Answer:

5 pizza rolls

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

which picture shows the correct graph of |x|=3?

Answers

Answer:

[see picture]

Step-by-step explanation:

There were no given choices, but I did graph the equation using Desmos.

Choose the answer that is closest to this:

The table below shows all of the possible outcomes of rolling a six-sided number cube and flipping a coin.

A 7-column table with 2 rows. Column 1 has entries H, T. Column 2 is labeled 1 with entries H 1, T 1. Column 3 is labeled 2 with entries H 2, x. Column 4 is labeled 3 with entries H 3, T 3. Column 5 is labeled 4 with entries H 4, T 4. Column 5 is labeled 4 with entries H 4, T 4. Column 6 is labeled 5 with entries H 5, T 5. Column 7 is labeled 6 with entries H 6, T 6.

Which outcome is represented by x?
rolling a two and the coin landing on tails
rolling a three and the coin landing on tails
rolling a two and the coin landing on heads
rolling a three and the coin landing on heads

Answers

Answer:

A: rolling a two and the coin landing on tails

Step-by-step explanation:

bc I got it right on edg 2020

Experimental probability: 3/10

The correct answer is rolling a two and the coin landing on the tails

Probability

A 3-column table with 10 rows.

Column 1 is labeled Trial with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Column 2 is labeled Outcome with entries H T, T T, H T, H H, H T, H T, T T, H T, T T, H H.

Column 3 is labeled Result with entries Fail, pass, fail, fail, fail, fail, pass, fail, pass, fail.

A pop quiz has 2 True/False questions. Paris used a 10-trial coin flip to simulate the results of guessing on the quiz. If T represents answering a question correctly, what is the experimental probability of correctly answering both questions by guessing?

Frequency of observed desired outcome: 3

Number of trials: 10

Experimental probability: 3/10

Therefore, the correct answer is

rolling a two and the coin landing on tails

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David rode his bicycle for 6 hours and he jogged for 8 hours during the past 2 weeks. If he continues bicycling and jogging at the same rate, how many hours will he ride his bicycle and jog in 24 weeks?

Answers

Answer:

He will ride his bicycle for 72 hours and jog for 96 hours.

Step-by-step explanation:

David rode his bicycle for 6 hours and he jogged for 8 hours during the past 2 weeks.

We can say that per week, he rode his bicycle for 3hours and jogged for 4 hours.

Assuming that he continues at the same rate, in 24 weeks, he will ride his bike for:

24 * 3 = 72 hours

And he will jog for:

24 * 4 = 96 hours.

He will ride his bicycle for 72 hours and jog for 96 hours.

Answer:

72 all you need to do is 24  x 3 and you get 72. :)

You roll a number cube. How likely is it that you will roll a number less than 3? Explain.

Answers

Answer:

0.3333

Step-by-step explanation:

If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333

Answer:

2/6 which can be simplified to 1/3

james has 4 and 3/4 feet of rope he plans to cut off 1 and 1/2. how much rope will be left

Answers

Answer:

3 and 1/4

Step-by-step explanation:

Please help!!! I will give 20 points and brainliest answer to the correct answer!!

Answers

Answer:

y-intercept = (0, 2.5)

x-intercept = (2.143, 0)

Step-by-step explanation:

y - intercept:

This is when x = 0 so

-7(0) - 6y = -15

-6y = -15

y = -15/-6

y = 2.5.

x_intercept:

-7x - 6(0) = -15

-7x = -15

x = -15 /-7

= 2.143.

Susannah made the line plot below to show the distances she hiked each day in the past two weeks.
Distances Hiked

Then she wrote this sum to find the total number of miles she hiked
(5+ x 3) + (6 + x 5) + (74 x 2) (74 x 1) + (73 x 1)
Which of the following must be added to the sum to get the correct total?

Answers

Answer:

Correct option: B -> (5 1/2) * 2

Step-by-step explanation:

We can observe the number of different distances she hiked:

5 1/4, 5 1/2, 6 1/4, 7 1/4, 7 1/2 and 7 3/4.

In Susannah's equation, we have only 5 parts, so it's missing one distance, that is 5 1/2.

In this distance there are 2 circles, so she hiked this distance two times. Then, the missing value that Susannah should sum is:

(5 1/2) * 2

Correct option: B

what is the midpoint of the x intercepts of f(x)= (x-4) (x+4)

Answers

Answer:

(0,16) or just 0 horizontally

Step-by-step explanation:

The x intercepts would be found by first setting these equations to equal zero!

[tex]x-4=0\\x+4=0[/tex]

Now we can add/subtract to solve for the zeros of the function!

[tex]x+4=0\\-4\\x=-4\\\\x-4=0\\+4\\x=4[/tex]

The mid-point between 4 and negative 4 is 0, so the vertex is at (4,-16)!

the answer is (4,-16) !!!!

The environment in which the organism lives can support at most 600 organisms. Assuming the trend continues, after how many years will the environment no longer be able to support the population?

Answers

Answer:

B.) 24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

A pencil factory puts 12 pencils in each box of pencils. The pencil factory sends out 83 boxes of pencils in each shipment. This year, they sent out 36 shipments of pencils. How many pencils did they ship this year?

Answers

Answer:

35856

Step-by-step explanation:

12 times 83 is 996 and 996 times 36 is 35856

The pencil factory shipped 35,856 pencils this year.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, A pencil factory puts 12 pencils in each box of pencils. The pencil factory sends out 83 boxes of pencils in each shipment.

So, The number of pencils in 83 boxes or one shipment is = (12×83).

= 996 pencils.

And This year, they sent out 36 shipments of pencils.

Therefore, The total number of pencils shipped this year is,

= (996×36).

= 35,856 pencils.

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If m∠X = 55° and m∠Y = 75°, then m∠W = A) 20°. B) 35°. C) 105°. D) 130°.

Answers

Answer:

c

Step-by-step explanation:

I subtracted 180 with 75 and I got 105.

The measure of angle ∠W is 50°. None of the answer choices match this result exactly.

To find the measure of angle ∠W, we can use the fact that the sum of the angles in a triangle is always 180 degrees. If we already know the measures of ∠X and ∠Y, we can find ∠W as follows:

m∠X + m∠Y + m∠W = 180°

Given:

m∠X = 55°

m∠Y = 75°

Now, plug in these values:

55° + 75° + m∠W = 180°

Combine the known angle measures:

130° + m∠W = 180°

To find the measure of ∠W, subtract 130° from both sides of the equation:

m∠W = 180° - 130°

m∠W = 50°

Therefore, the correct answer is not among the options provided.

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Find the area of the rhombus.
4√3 m
4 m​

Answers

Answer:

Area of rhombus = 8√3 m²

Step-by-step explanation:

Diagonal of rhombus is given as:

[tex] D_{1} [/tex] = 4 m

[tex] D_{2} [/tex] = 4√3 m

[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4 \times 4 \sqrt{3} }{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 4 \sqrt{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \sqrt{3} {m}^{2} [/tex]

help with question 17 pls

Answers

Step-by-step explanation:

Step 1:  Find the line

Option A

(y - y_1) = m(x - x_1)

(y - 5) = 2(x - (-4))

y - 5 = 2(x + 4)

Option C

y - 5 = 2x + 8

y = 2x + 13

Option D

2x - y = -13

-y = -13 - 2x

y = 2x + 13

I think Option A, C, D

find the exact length of the third side

Answers

Answer:

47

Step-by-step explanation:

The third side is called the hypotenuse, lets call that the x side.

So we are finding x.

The two other sides add up to the hypotenuse, x.

35 + 12 = 47

The answer is 47 I hope this is right

Interpolate: Use the equation to determine what the student enrollment in 2003 likely was.


1244 students


Extrapolate: Use the equation to predict student enrollment in 2013.


2064 students



its answered ur welcome

Answers

Answer:

1244 students

2064 students

hope it helped

Step-by-step explanation:

Thanks

you were right

a. Jamie has a ladder that is 15 ft long. She wants to lean the ladder against a vertical wall so that the top of the ladder is 14 ft above the ground.

Draw a picture of the ladder leaning against the wall and label the lengths listed in the problem:



b. Use Trigonometry to find the angle formed between the ground and the ladder using your diagram and values from part 1a. Round to the nearest whole number. Show your work:


c. For safety reasons, Jamie wants the angle the ladder makes with the ground to be no greater than 75°. Will the ladder be safe the way she has it positioned?

Answers

Answer:

B. ∠C = 69°

C. Jamie has positioned the ladder safely.

Step-by-step explanation:

A. In the figure attached length of ladder AC = 15 ft

   and the top of the ladder is at the point A 14 ft above the ground.

B. SinC = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

            = [tex]\frac{14}{15}[/tex]

        [tex]C=sin^{-1}(\frac{14}{15} )[/tex]

        C = 68.96°

        C ≈ 69°

C). For safety reasons, angle between the ladder and the ground should be less than 75°.

Existing angle between the ladder and ground is 69° which is less than the angle required for safety.

Therefore, Jamie has positioned the ladder safely.

How many solutions does the following equation have?

3x^2+10x+2=0

Answers

Answer:

one solution

Step-by-step explanation:

This is for geometry and I am very confused.

Answers

Answer:

75

Step-by-step explanation:

Divide your value by 2 if your given value is the length of the center line that creates the middle two triangles within the hexagon. The quotient is the length of the hexagon side. If this value is 25, then the length of one side of the hexagon is 25 divided by 2, which is 12.5. Then you multiply that by 6 for each side and get 75. Hopes this helps. : )

At a music store, a survey was conducted to find which genre of music the customers preferred. In the survey, every male customer was asked which genre of music was his favorite. Were the results of the survey valid?
A.
Yes, because the music store surveyed every tenth male customer.
B.
No, because the music store did not survey a sample that is representative of the population.
C.
No, because the music store did not have any female customers.
D.
Yes, because every male customer was surveyed.

Answers

Answer:

The answer is B

Step-by-step explanation:

I have study Island too and the answer C is wrong

Final answer:

The survey conducted only among male customers at a music store is not valid because it's not representative of the entire customer base, thereby introducing a selection bias.

Explanation:

The question asks whether the results of a music preference survey conducted only among male customers at a music store are valid. Answer choice B, No, because the music store did not survey a sample that is representative of the population, is correct.

A valid survey must aim to avoid selection bias by ensuring that its sample represents the entire population it intends to make statements about.

Surveying only male customers introduces a bias, as it excludes female customers, making the sample not representative of all music store customers. This compromises the survey's ability to accurately reflect the preferences of the entire customer base.

Luther is building a model rocket for a science fair project. He attaches a nose cone to a cylindrical body to
form the rocket's fuselage. The rocket has a diameter of 4 inches and a total height (including the nosecone)
of 19 inches. The nosccone is 7 inches tall. What is the surface area of the rocket?

Answers

The total approximate surface area of Luther's rocket is 219.8 square inches.

Luther is building a model rocket and needs to calculate its surface area. His rocket consists of a cylindrical body with a nose cone. The diameter of the cylinder is 4 inches, the height of the cylindrical part is 12 inches (since the total height is 19 inches and the nose cone is 7 inches), and the height of the nose cone is 7 inches.

First, we calculate the surface area of the cylindrical body. The formula for the lateral surface area of a cylinder is 2πr*h, where r is the radius and h is the height. Half the diameter gives us the radius, which is 2 inches. Thus, the lateral surface area is 2π*2*12 = 48π square inches.

Next, we find the surface area of the two bases of the cylinder. The formula for the area of a circle is π[tex]r^2[/tex]. So, the area of one base is π*[tex]2^2[/tex] = 4π square inches. There are two bases, so we double this to get 8π square inches.

For the nose cone, we'll assume it is a cone whose slant height is the same as its height (because we do not have enough information to calculate the slant height if it were to differ). The surface area of a cone is πr*l, where l is the slant/linear height. Therefore, for the nose cone, we have π*2*7 = 14π square inches.

Now, we add the surface areas of the cylindrical part and the nose cone to get the total surface area of the rocket: 48π + 8π + 14π = 70π square inches.

Finally, multiplying 70π by approximately 3.14, we get the total approximate surface area of Luther's rocket: 70 * 3.14 = 219.8 square inches.

The correct answer is:

The surface area of the rocket is approximately [tex]\(48\pi + 2\pi(2 + \sqrt{53})\)[/tex] square inches, without numerical calculation.

To find the surface area of the rocket, we need to calculate the surface area of both the cylindrical body and the nose cone separately, then add them together.

1. Surface Area of the Cylindrical Body:

  The cylindrical body's surface area can be calculated using the formula for the lateral surface area of a cylinder: [tex]\( A_{\text{cylinder}} = 2\pi rh \)[/tex], where [tex]\( r \)[/tex] is the radius and [tex]\( h \)[/tex] is the height.

  Given:

  - Diameter = 4 inches (radius = 2 inches)

  - Total height (including nose cone) = 19 inches

  - Height of the nose cone = 7 inches

  Radius r = 2  inches

  Height of cylindrical body = Total height - Height of nose cone = 19 inches - 7 inches = 12 inches

 [tex]\( A_{\text{cylinder}} = 2\pi \times 2 \times 12 = 48\pi \)[/tex] square inches

2. Surface Area of the Nose Cone:

  The surface area of a cone can be calculated using the formula: [tex]\( A_{\text{nosecone}} = \pi r_{\text{nosecone}}(r_{\text{nosecone}} + \sqrt{h_{\text{nosecone}}^2 + r_{\text{nosecone}}^2}) \), where \( r_{\text{nosecone}} \) is the radius and \( h_{\text{nosecone}} \)[/tex] is the height.

  Given:

  - Height of nose cone = 7 inches

  Since the diameter of the rocket is 4 inches, the radius of the nose cone is also [tex]\( \frac{4}{2} = 2 \)[/tex] inches.

[tex]\( A_{\text{nosecone}} = \pi \times 2 \times (2 + \sqrt{7^2 + 2^2}) = 2\pi(2 + \sqrt{53}) \)[/tex] square inches

3. Total Surface Area:

  The total surface area of the rocket is the sum of the surface areas of the cylindrical body and the nose cone.

  Total Surface Area = Surface Area of Cylindrical Body + Surface Area of Nose Cone

                      [tex]\( = 48\pi + 2\pi(2 + \sqrt{53}) \)[/tex] square inches

  Now, you can compute the numerical value.

Jonas has 5 apples and 6 oranges in a fruit basket. The basket contains 13 pieces of fruit. Which statement is true
regarding the contents of the fruit basket?
The fraction of apples in the basket is greater than the fraction of any other type of fruit in the basket.
The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket
There are 3 other pieces of fruit in the basket
There are 6 types of fruit in the basket.

Answers

Answer:

B    The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket

Step-by-step explanation:

5 apples + 6 oranges is 11 fruits. witch means thare are 2 unidentified fruits tharefore C is wrong and D is wrong. and it couldn't be A because 5 is smaller than 6.

Answer:

The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket.

Step-by-step explanation:

The oranges make up  [tex]\frac{6}{13}[/tex]

The apples make up  [tex]\frac{5}{13}[/tex]

The unknown rest of the fruit basket make up  [tex]\frac{2}{13}[/tex]

The oranges are the greatest fraction.

Find the coordinates of point B along a directed line segment from A(3,4) and
C(3,9) so that the ratio of AB to BC is 4:1.

Answers

We have been given two points. [tex]A(3,4)[/tex] and [tex]C(3,9)[/tex]. We are asked to find the point B such that it divides line segment AC so that the ratio of AB to BC is 4:1.

We will use segment formula to solve our given problem.

When a point P divides segment any segment internally in the ratio [tex]m:n[/tex], then coordinates of point P are:

[tex][\right x=\frac{mx_2+nx_1}{m+n},y=\frac{my_2+ny_1}{m+n}\left][/tex]

[tex](x_1,y_1)=(3,4)[/tex] and [tex](x_2,y_2)=(3,9)[/tex].

[tex]m=4,n=1[/tex]

Upon substituting our given information in above formula, we will get:

[tex][\right x=\frac{4(3)+1(3)}{4+1},y=\frac{4(9)+1(4)}{4+1}\left][/tex]

[tex][\right x=\frac{12+3}{5},y=\frac{36+4}{5}\left][/tex]

[tex][\right x=\frac{15}{5},y=\frac{40}{5}\left][/tex]

[tex][\right x=3,y=8\left][/tex]

Therefore, the coordinates of point B would be [tex](3,8)[/tex].

3 Polnis

-

Trevor has a $1000 bond with a 4.5% coupon. Trevor purchased this bond for

$965. What is the yield of this new bond?



O A. 5%

OB. 5.1%

C. 4.5%

D. 4.7%

Answers

Answer:

D.4.7%

Step-by-step explanation:

A graph has time (hours) on the x-axis and total charge (dollars) on the y-axis. Points are at (0, 8), (2, 27), (4, 46), (6, 65). For the new year, the instructor is thinking of changing his rates. The equation of the possible new rates is represented in the graph. What is the y-intercept of the instructor's new rates? ( , )

Answers

Answer:

(0,8)

Step-by-step explanation:

Answer:

(0,8)

Step-by-step explanation:

Please help!! what is the length of the line

Answers

Answer:

[tex]\sqrt136[/tex] (option D)

Step-by-step explanation:

Here is the histogram of a data distribution.
5
4
3
2
1
1
2
9 '10
Which best describes the shape of this distribution?

Answers

Answer:

unimodal skewed

Step-by-step explanation:

The given histogram is unimodal skewed.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

This histogram is unimodal skewed.

There are two parts to this answer. The first part has to do with the number of modes.

This would be the item that is occurring the most frequently.

In this case the mode is only 4.

It is occurring more than any other.

The second part of this has to do with the distribution of the data as it is displayed on the histogram.

There are 4 pieces of data that are only occurimg one time on the right of the histogram.

We call this skewing the data.

When both sides looks almost the same we say it is symmetric.

Hence, the given histogram is unimodal skewed.

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A company lost $400 dollars in March, $500 in April, and $300 in May. Write an integer for the average loss per month

Answers

Answer: 400

Step-by-step explanation:30+400+500=1200/3=400

Answer:

$400

Step-by-step explanation:

to find an average we add...

400+500+300=1200

then we divide..

$1200/3 months=

$400 per month

Hope this helps!

Other Questions
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