Use the Pythagorean Theorem to find the length of the leg in the triangle shown below. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10. The figure shows a right triangle with one leg marked 8. The hypotenuse is marked 10.

Answer:

174.8 in²

Step-by-step explanation:

Shaded area = square area - circle area

---------------------

Square

a = 15 * 15

a = 225

Circle

a = π * 4²

a = 3.14 * 16

a = 50.24

------------------------

Shaded

a = 225 - 50.24

a = 174.76

Rounded

174.8 in²

Answer:

A. Probability = 0.02

B. This is in a cumulative frequency table in the attachment I added

Step-by-step explanation:

A. We have these following probabilities

Prob(X=0) = 0.05

Prob(x= 2) = 0.30

Prob(X = 4) = 0.50

Prob(X < 2) = Prob(X=0) + prob(X=1)

0.18 = 0.05 + prob(X=1)

prob(X=1) = 0.13

A. Prob(x = 3)

= 1 - (0.05 + 0.13 + 0.30 + 0.50)

= 0.02

Probability of buying only 3 times = 2%

B. The cumulative frequency is in the attachment.

Answer:

The margin of error is of 0.1282 = 12.82%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is of:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A survey conducted by General Motors of 38 drivers in America, 34 indicated that they would prefer a car with a sunroof over one without.

This means that [tex]n = 38, \pi = \frac{34}{38} = 0.8947[/tex]

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

What is the margin of error?

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 2.575\sqrt{\frac{0.8947*0.1053}{38}} = 0.1282[/tex]

The margin of error is of 0.1282 = 12.82%.

Answer:

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

N-instances of a normal variable:

For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]

What is the mean and standard deviation of the number of calls it receives for ​n-hour ​day?

Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.

Answer:

1/2( x+16)

Step-by-step explanation:

1/2x + 8

Factor out 1/2

1/2*x + 1/2 *16

1/2( x+16)

Answer:

0.2948 ≅ 0.295

Step-by-step explanation:

According to the Question,

So, the population proportion of students who have previously owned a motorcycle is 115/390 ⇔ 0.2948 ≅ 0.295

Answer:

41.6

Step-by-step explanation:

got it wrong and it showed me the right answer

Answer:

3 Liters = 3000 ml

3 Yards = 12 feet

3 tons = 6000 lb.

Hope that this helps!

Answer:

3 Liters is equal to 3,000 mL

3 Yards is equal to 9 feet

3 Tons is 6,000 lbs

Step-by-step explanation:

Hope this helped!

Answer:

D option is correct

( At Q3 the market is wasting society's .. )

Answer:

6 1/2................

Answer:

C. Karen decided to rest and stopped running for an hour

Step-by-step explanation:

The line of the graph shows a horizontal line between hours 2 and 3 with a corresponding distance that remains the same on the y-axis. This simply means that, only the hours change but distance didn't change. Therefore, it can be concluded that after for 1 hour, Karen decided to stop over and rest.

Answer:

the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

39/89

Step-by-step explanation:

Answer:

7/25

Step-by-step explanation:

(sin) = opp/hyp

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

Answer:

1) 1m³ is 100cm*100cm*100cm = 1,000,000cm³

so 250,00cm³ are just 0.25m³

2) looking at the conversion above, three point five million is correct

3) 1dm³ = 10cm*10cm*10cm = 1,000cm³

D, as in Dewey Duck

4) 1m³ = 10dm*10dm*10dm = 1,000dm³

see that it's C?

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

Answer:

the answer is 3.

Step-by-step explanation:

Difference between means to subtract.

8 - 5 = 3

Answer:

8- a = 5

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

48

+ 84

--------

132

_____

9514 1404 393

Answer:

  174.4 cm³

Step-by-step explanation:

The relevant volume formulas are ...

  V = πr²h . . . . . cylinder of radius r and height h

  V = 4/3πr³ . . . . sphere of radius r

__

Then the difference in volume between the cylinder and the 3 spheres is ...

  ΔV = π(2.5 cm)²(14 cm) -3(4/3π(2 cm)³) = π(87.5 -32) cm³ = 55.5π cm³

The volume of air is about 174.4 cm³.

Answer:

26 2/3

Step-by-step explanation:

first you want to times the yards which gives you 20 yards.

next you times the 2/3 by 10 giving you 20/3 yards. the fraction converted into a mixed numeral is 6 & 2/3.

add both the 6 & 2/3 and the 20 which gives you 26 2/3

Answer:

26 2/3 is the answer.

Explanation:

Add the wholes first. That will give you 20. Then add the fractions. That will give you 20/3. When you write that in a mixed number, it will be 6 2/3. Add 20 with 6 2/3. That will give you 26 2/3 as the final answer.

Answer:

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal over 1000. Reduce the fraction.

Answer:

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Step-by-step explanation:

Given

[tex](4x - 3)(5x - 8)[/tex]

Required

Identify and correct error

The error is when the inner and outer terms are multiplied. i.e.

[tex]4x * -8 = -32x[/tex] not 32x

[tex]-3 * 5x = -15x[/tex] not 15x

So, the expression is:

[tex](4x - 3)(5x - 8) = 20x^2 - 32x -15x + 24[/tex]

[tex](4x - 3)(5x - 8) = 20x^2 -47x + 24[/tex]

Answer:

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{-2}{3}*\frac{3}{5}+\frac{5}{2}-\frac{3}{5}*\frac{1}{6}=\frac{-2}{5}+\frac{5}{2}-\frac{1}{5*2}\\\\= \frac{-2}{5}+\frac{5}{2}-\frac{1}{10}\\\\=\frac{-2*2}{5*2}+\frac{5*5}{2*5}-\frac{1}{10}\\\\=\frac{-4}{10}+\frac{25}{10}-\frac{1}{10}\\\\=\frac{-4+25-1}{10}\\\\=\frac{20}{10}\\\\= 2[/tex]

It was some mistake in previous one so i edited this one.

Answer:

Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Step-by-step explanation:

Given that Mr. Akika has 33 18 cent and 32 cent stamps all told, and the stamps are worth $ 9.02, to determine how many of each kind of stamp does he have the following calculation must be performed:

10 x 0.18 + 23 x 0.32 = 9.16

11 x 0.18 + 22 x 0.32 = 9.02

Therefore, Mr. Akika has 11 18-cent stamps and 22 32-cent stamps.

Answer:

x< 4/7

Step-by-step explanation:

See image below:)

Answer:

if this is multiple choice then you forgot to give us the answers. the best answer i can give you is "the set of odd numbers is less than 15 because it does not exceed 13

A word description of sets is given below.

We have the following set -  {1, 3, 5, 7, 9, 11, 13}.

We have to write a word description of set.

A set is a collection of elements or members, which can be mathematical objects of any kind for example → numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

According to the question, we have the following set -

{1, 3, 5, 7, 9, 11, 13}

The above set is written in Roster or enumeration notation with the members enlisted between the curly braces. This set consist of 7 elements and each element of this set can be determined using the following rule -

a(n) = 2n - 1

This also represents the set of odd positive integers.

To learn more about sets, visit the link below-

https://brainly.com/question/19257002

#SPJ2