There is a relay race with 4 runners. The total distance run in the relay race is m

miles. Write an expression to show how far each person runs in the relay race.

Phytagoras Theorem :

b² = c² - a²

b² = 50² - 40²

b² = 2500 - 1600

b² = 900

b = √900

b = 30

So, the exact length of the third side is 30

Hope it helpful and useful :)

Answer:

A & B)

Step-by-step explanation:

A)When you subtract the bottom equation from the top, x will be eliminated & you could found the value of y

B)When you add  the equations, y will be eliminated & you could find the value of x

Answer:

See the explanation for the answer.

Step-by-step explanation:

[tex]2x^2+7x+2=0[/tex]

[tex]x=\frac{-7\pm \sqrt{49-16}}{4}=\frac{-7\pm \sqrt{33}}{4}[/tex]

Hope this helps!

Upper Quartile: 38

Lower Quartile: 19

The lower quartile value is the median of the lower half of the data. The upper quartile value is the median of the upper half of the data.

Answer:

Step-by-step explanation:

The upper quartile is the median of the upper half of a data set.

The lower quartile value is the median of the lower half of the data.

Answer:

C

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

2

Answer:

The most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Step-by-step explanation:

Assume that Bob's Burgers provides two types of burgers:

Of the random sample of N = 70 attendees, the number of people who said that bacon cheeseburgers were their favorite type of burgers is 32.

Then the number of people who said that sausage bacon cheeseburgers were their favorite type of burgers is, n (S) = 70 - 32 = 38.

Compute the probability that a randomly selected attendee like sausage bacon cheeseburger as follows:

[tex]P(S) = \frac{n(S)}{N}=\farc{38}{70}=0.543[/tex]

It is provided that there are 1400 Sunset Park Food Festival attendees.

Let the random variable X be defined as the number of attendee who likes sausage bacon cheeseburgers.

Then the random variable X will follows a Binomial distribution with parameter n = 1400 and p = 0.543.

This is because, there are a fixed number of trial in the experiment, each trial has the same number of outcomes, i.e. a person either likes bacon cheeseburgers or sausage bacon cheeseburgers and each trial has the same probability of success, i.e. P (S).

The expected value of a Binomial random variable is:

[tex]E(X)=n\times p[/tex]

Compute the expected number of attendees whose favorite type of burger is a sausage bacon  cheeseburger as follows:

[tex]E(X)=n\times p[/tex]

         [tex]=1400\times 0.543\\=760.2\\\approx 760[/tex]

Thus, the most reasonable estimate for the number of Sunset Park Food  Festival attendees whose favorite type of burger is a sausage bacon  cheeseburger is 760.

Explanation:

The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.

Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3

Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3

If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.

Answer:

The answer is 8%

From the given information, the sample proportion is 18% and a margin of error is 4 percent.

Then, a 90% confidence interval to estimate the population proportion is

(18 +/- 4)

(18-4, 18+4)

(14%, 22%)

22-14 = 8

Answer:

x³ + x² + 4x + - 4

Step-by-step explanation:

Remove the parentheses and simplify.  Expand the negative sign for the second phrase in parentheses.

-x³ + 2x² - x + 2 + 2x³ + 5x - 1 - x² - 5

x³ + x² + 4x + - 4

Answer:

p^8 q^3

Step-by-step explanation:

When dividing exponents, you subtract the numerator by the denominator.

Example: Look at p. 5-(-3) will result with p^8. For q, find what subtracted from 6 will make 3.

Answer: [tex]q^3[/tex] and [tex]p^8[/tex]

When dividing exponents, if they have the same base, you subtract the exponents. For example, [tex]\frac{a^x}{a^y}[/tex] has the same base of [tex]a[/tex], so the answer would be [tex]a^{x-y}[/tex].

[tex]q^{6-3}[/tex] = [tex]q^3[/tex]

[tex]p^{5-(-3)}[/tex] = [tex]p^{5+3}[/tex] = [tex]p^8[/tex]

If we add pair D (6, 5) to the table, then it stops representing a function.

A relation is not a function if we can see that we have a input that is mapped into two (or more) different outputs.

Notice that in the table we already have an entry with the input x = 6, so we can't add another entry like:

(6, 5)

Because then, the table wouldn't be a function.

Then the correct option is D.

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Answer:

0.13 cents

Step-by-step explanation:

1.99 / 15 = 0.1326, rounded is 0.13

Answer:

integer

Step-by-step explanation:

The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The whole numbers are the numbers without fractions and it is a collection of positive integers and zero. rational numbers are numbers that can be represented as the quotient p/q of two integers such that q ≠ 0.

Given here, 15/5=3 and thus the number

3∈ whole numbers ∈Integers ∈rational numbers

Hence, The answer is 3 which is a whole number so is also an integer and thus inturn a rational number.

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Answer:

100 times as large

Step-by-step explanation:

If the base is 10, it is really easy to find this out.

First, what is the difference between 6 and 4? 2

Each higher exponent, the value multiplies by 10.

Remember that the the difference between the exponents is the number of zeros in the answer if the base number is 10.

2 zeros = 100

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the information:

Let analyse all the answers:

1/ The center is 3 True

2/The peak is 5 Wrong, the peak is 3

3/ There are no gaps. Wrong because the gap is at 4 and 2

4/ It is symmetric. Yes

5/ It is skewed right. Wrong because it is symmetric.

6/ The spread is from 1 to 5. True

7/ There were 14 commercial breaks. Yes because the total number of dots is 14

Hope it will find you well.

Answer:

The center is 3.

It is symmetric

The spread is from 1 to 5.

There were 14 commercial breaks.

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

Angles are named with the vertex listed in the middle of the three letters. For example, ∠AFB is formed by rays FA and FB. Point F is the vertex of the angle, where the rays meet.

Adjacent angles share a ray. Generally the shared ray will be the only ray between the other two rays identifying the angles. For example, ∠AFB and ∠BFC (or ∠CFB) are considered to be adjacent because shared ray FB is between rays FA and FC.

Given the names of two angles, you can look to see if any of the rays are shared.

Looking at the next answer choice, ∠AFB and ∠CFD we see that the rays involved in the first angle are FA and FB; in the second angle they are FC and FD. There are no common rays here, so these angles are not adjacent.

∠BFC and ∠CFD share ray FC. They are adjacent.

∠BFC and ∠DFE have no shared rays.

∠CFD and ∠DFE share ray FD. They are adjacent.

Answer:

The answer is B. hope this helps

Answer:

1. 2=1

2. No Solution

Step-by-step explanation:

edge 2022

The equation that shows the result as per the given scenario is 2=1. The correct option is A.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

In mathematics, a base number raised to an exponent is referred to as a power. The base number is the factor that is multiplied by itself, and the exponent indicates how many times the base number has been multiplied.

Given,

Equation = [tex](1/5000)^{2z}X5000^{2z+2}[/tex]

We have to rewrite the given equation so there is a single power of 5,000 on each side.

[tex]1/a^n=a^{-n}\\\\a^m/a^n=a^{a-n}\\\\a^mXa^n=a^{m+n[/tex]

So,

[tex](1/5000)^{2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z}X5000^{2z+2}=5000[/tex]

[tex]5000^{-2z+2z+2}=5000^1[/tex]

By this,

-2z+2z+2=1,

Thus, the value can be 2=1, so the correct option is A.

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Your question seems incomplete, the complete question is:

Rewrite the given equation so there is a single power of 5,000 on each side. then, set the exponents equal to each other.

(1/5000)^2z · 5000^2z+2 = 5000

which equation shows the result?

a) 2=1

b) z=1

c) -4z+2=1

d) -4z+1=1

Answer:

this looks hard but x can mean area or other

Answer:

A≈143.17

Step-by-step explanation:

(happy to help)

Answer: 143.17

Step-by-step explanation: A = 1/2(l*w)

A = 1/2(286.34)

A = 143.17

Answer:

$7

Step-by-step explanation:

58-7.50x4=30 58-30=28/4=7

The correct answer is: A. -1.3, -1.2, 0.8, 0.9. Hence the correct option is a.

Start by comparing the negative numbers:

Since -1.3 is a smaller number than -1.2, we know -1.3 comes first.

Compare the negative numbers with the positive numbers:

All negative numbers are less than any positive number. Therefore, both -1.3 and -1.2 come before 0.8 and 0.9.

Compare the positive numbers:

Finally, compare 0.8 and 0.9. Since 0.9 is larger, it comes last.

Therefore, the order from least to greatest is: -1.3, -1.2, 0.8, 0.9. This corresponds to option A.

Complete and correct question:

Which of the following shows the numbers in order of least to greatest? 0.9, -1.2, -1.3, 0.8

A. -1.3, -1.2, 0.8, 0.9

B. -1.2, -1.3, 0.8, 0.9

C. 0.8, 0.9, -1.2, -1.3

D. 0.9, 0.8, -1.2, -1.3

Answer:

24 books

steps:

If we take the amount 395 and subtract 35, we get a total that is unaffected by the video rack, and can be easily answered now

The total is 360, we are now able to divide 360 by 15, getting the total of 24 books

Answer:

1.5

Step-by-step explanation:

Since an object submersed in a fluid displaces its volume in fluid, you can calculate the volume of the ring by measuring how much water it displaces. When the ring is dropped in, the length and width of the container stay the same, while the height increases by 0.25. 0.25*3*2=1.5 cubic inches. Hope this helps!

Answer:

Concept :

✧Thorough solution is provided in the attachment.

Don't hesistate to reach out to me if you have further queries! Have fun studying! <3

The values of [tex]\( \sin \theta \)[/tex] are [tex]\( \frac{\sqrt{35}}{6} \)[/tex] and [tex]\( -\frac{\sqrt{35}}{6} \)[/tex],  and the value of [tex]\( \tan \theta \)[/tex] is [tex]\( \sqrt{35} \)[/tex].

Given that [tex]\( \cos \theta = \frac{1}{6} \)[/tex], we need to find [tex]\( \sin \theta \)[/tex] and [tex]\( \tan \theta \)[/tex].

First, we can find [tex]\( \sin \theta \)[/tex] using the Pythagorean identity:

[tex]\[\sin^2 \theta + \cos^2 \theta = 1\][/tex]

Substitute [tex]\( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\sin^2 \theta + \left(\frac{1}{6}\right)^2 = 1\][/tex]

[tex]\[\sin^2 \theta + \frac{1}{36} = 1\][/tex]

[tex]\[\sin^2 \theta = 1 - \frac{1}{36} = \frac{36}{36} - \frac{1}{36} = \frac{35}{36}\][/tex]

[tex]\[\sin \theta = \pm \sqrt{\frac{35}{36}} = \pm \frac{\sqrt{35}}{6}\][/tex]

So, [tex]\( \sin \theta \)[/tex] could be [tex]\( \frac{\sqrt{35}}{6} \)[/tex] or [tex]\( -\frac{\sqrt{35}}{6} \)[/tex].

Next, to find [tex]\( \tan \theta \)[/tex], we use the definition:

[tex]\[\tan \theta = \frac{\sin \theta}{\cos \theta}\][/tex]

Substitute [tex]\( \sin \theta = \pm \frac{\sqrt{35}}{6} \) and \( \cos \theta = \frac{1}{6} \)[/tex]:

[tex]\[\tan \theta = \frac{\frac{\sqrt{35}}{6}}{\frac{1}{6}} = \sqrt{35}\][/tex]

Answer:

Step-by-step explanation:

A line has a positive slope if it is slanting upward, toward the right. A line has a negative slope if it is slanting upward, toward the left.

Mark As Brainlist Plz

Step-by-step explanation:

The line would be going up because when the slope is positive that the amounts are increasing, meaning when the slope is positive it’s going up and the opposite of when the slope is negative.

To simplify the expression 5(2) x 5(5), we first calculate the result as 250. To rewrite this in the form 5n, we find a number n such that 5 times n equals 250, which is 50. Thus, the original expression can be written as 5(50).

The question asks to simplify the given mathematical expression. The expression is 5(2) x 5(5). When we multiply the numbers in each parenthesis with 5, it simplifies to 10 x 25, which equals 250 when multiplied together. This answer, however, is not in the form of 5n.

To rewrite the answer in form of 5n, we need to find a number that, multiplied by 5, equals to our answer, 250. This number is 50, because 5 times 50 equals 250.

Therefore, the expression 5(2) x 5(5) equals 250 and can be rewritten in the form of 5n as 5(50).

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Answer:

$24,580.12

Step-by-step explanation:

Lets use the compound interest formula to solve:

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 14.8% into a decimal:

14.8% -> [tex]\frac{14.8}{100}[/tex] -> 0.148

Since the interest is compounded monthly, we will use 12 for n. Lets plug in the values now:

[tex]A=7,330(1+\frac{0.148}{12})^{12(10)}[/tex]

[tex]A=31,910.12[/tex]

Now subtract that number from our original amount invested:

[tex]31,910.12-7,330=24,580.12[/tex]

The dollars earned in interest is $24,580.12

Answer:

Step-by-step explanation:

The probability that a person chosen at random from a group of 30 people only visited one of the two landmarks, the Eiffel Tower or the Notre-Dame Cathedral in Paris, is 17/30.

To calculate the probability that a person in a group of 30 people who visited Paris only visited one of the two landmarks - the Eiffel Tower (ET) or the Notre-Dame Cathedral (NDC), we need to apply the principles of set theory and probability.

Firstly, we know that:

13 visited the ET

16 visited the NDC

7 did not visit either place

Adding the numbers of visitors to both places gives us a total of 29 (13 ET + 16 NDC). However, the total number of people is 30, and 7 did not visit either, which implies that 23 people (30 - 7) visited at least one site. Therefore, 29 - 23 gives us 6 people who have visited both places.

To find the number who visited only one place, we subtract those who visited both from the total who visited each:

For ET only: 13 (visited ET) - 6 (visited both) = 7

For NDC only: 16 (visited NDC) - 6 (visited both) = 10

Adding these gives us 17 (7 ET only + 10 NDC only) who visited just one site. Hence, the probability that a person chosen at random visited only one of the two places is:

P(visited only one site) = Number who visited only one site / Total number of people

P(visited only one site) = 17 / 30

Therefore, the probability is 17/30.