the five starters on the basketball team were tall and their heights were 82 in 74 in 78 in 80 in 76 in what was the average height of the five starters

Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

Answer:

8.9

Step-by-step explanation:

- there are two given sides and its a right angle triangle so you can use pythagoras

- 12^2 = 8^2 + y^2

- rearrange

y = \(\sqrt{(12)^2 -(8)^2}\)

y = 8.9

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

The critical value is 9.925, rounded to three decimal places.

To calculate the critical value for a 99.9% confidence level with a sample size of 4, we will use the t-distribution, since the population standard deviation is unknown.

The t-distribution is used when the sample size is small (usually n < 30) and the population standard deviation is unknown.

First, find the degrees of freedom (df) for the t-distribution, which is equal to the sample size (n) minus 1:

Next, we need to find the critical value (t) that corresponds to a 99.9% confidence level (or a 0.999 probability) and 3 degrees of freedom. We will look this up in a t-distribution table or use a t-distribution calculator.

Using a t-distribution calculator or table, the t-score corresponding to a 99.9% confidence level (two-tailed) and 3 degrees of freedom is approximately 9.925.

So, the critical value is 9.925, rounded to three decimal places.

Read more about confidence interval here:

https://brainly.com/question/15712887

#SPJ1

Answer:

Ling's principal can hire new teachers in 54 different ways.

Step-by-step explanation:

Since Ling's elementary school principal wants to hire some new teachers, and 6 teachers applied for one 1st grade teaching job, and 3 teachers applied for one 2nd grade teaching job, and there is also a job opening for a 3rd grade teacher, and 3 teachers applied for the job, to determine how many different ways can Ling's principal hire new teachers the following calculation has to be done:

6 x 3 x 3 = X

18 x 3 = X

54 = X

Therefore, Ling's principal can hire new teachers in 54 different ways.

Answer:

The region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.

Step-by-step explanation:

We have a inequality and we have to determine the region in the xy-plane that inequality.

\(|x+7|-2>0\\\\|x+7|-2+2>0+2\\\\|x+7|>2\)

We divide the inequality in two regions:

1) When (x+7)>0, we have:

\(x+7>2\\\\x+7-7>2-7\\\\x>-5\)

2) When (x+7)<0, we have:

\(-(x+7)>2\\\\-x-7+7>2+7\\\\-x>9\\\\(-x)(-1)<9(-1)\\\\x<-9\)

Then, the region where the inequality is valid is (x>-5) and (x<-9).

The graph is attached.

Answer:

B

Step-by-step explanation:

edg 2020

The tons of carbon emission for the following year is 26 million tons.

From the information, the country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year and in the year given, the country emitted 40 million tons of carbon-dioxide.

The carbon for the next year will be:

= Total carbon emmision - Reduction in emissions

= 40 million - (35% × 40 million)

= 40 million - 14 million

= 26 million

The complete information is given below.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

Complete question

The country of Freedonia has decided to reduce its carbon-dioxide emission by 35 percent each year. This year the country emitted 40 million tons of carbon-dioxide. What is the carbon emission for the next year.

Answer:

Perimeter:\(4x+10\) feet
Area:\(x^{2}+5x+6\) feet

Step-by-step explanation:

The perimeter is equal to 2*width +2*length. The width is x+2 and the length is x+3, therefore the perimeter is equal to 2x+4+2x+6 which equals 4x+10.
The area is equal to width*length
(x+3)(x+2)=\(x^{2}+2x+3x+6=x^{2}+5x+6\)

Answer:

a) X ~ N(70,12)

b) ¯ x ~ N(70,1.6971)

c) For a single tire, 0.0541 = 5.41% probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8. For the 50 tires tested, 0.0950 = 9.50% probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8.

d) No

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. What is the distribution of X ?

Single tire, so normal with mean \(\mu = 70\), standard deviation \(\sigma = 12\)

So X ~ N(70,12).

b. What is the distribution of ¯ x ?

Sample of 50.

By the Cental Limit Theorem, the mean stays the same.

The standard deviation will be \(s = \frac{12}{\sqrt{50}} = 1.6971\)

So

¯ x ~ N(70,1.6971)

c. f a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8.

This is the pvalue of Z when X = 73.8 subtracted by the pvalue of Z when X = 72.1. So

X = 73.8

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{73.8 - 70}{12}\)

\(Z = 0.32\)

\(Z = 0.32\) has a pvalue of 0.6255

X = 72.1

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{72.1 - 70}{12}\)

\(Z = 0.18\)

\(Z = 0.18\) has a pvalue of 0.5714

0.6255 - 0.5714 = 0.0541

For a single tire, 0.0541 = 5.41% probability that the number of miles (in thousands) before it will need replacement is between 72.1 and 73.8.

For the 50 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8

50 tires, so by the Central Limit Theorem, we use s in the z-score formula.

X = 73.8

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{73.8 - 70}{1.6971}\)

\(Z = 2.24\)

\(Z = 2.24\) has a pvalue of 0.9875

X = 72.1

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{72.1 - 70}{1.6971}\)

\(Z = 1.24\)

\(Z = 1.24\) has a pvalue of 0.8925

0.9875 - 0.8925 = 0.0950

For the 50 tires tested, 0.0950 = 9.50% probability that the average miles (in thousands) before need of replacement is between 72.1 and 73.8.

d. Is the assumption that the distribution is normal necessary?

Sample size of 30 or larger(in this case, 50), so the assumption is not necessary.

Answer:

draw the diagram and multiply 5x20

Answer:

5/12

Step-by-step explanation:

a foot =12 inches

fraction of 5 inches=5/12

angelas car leaked=6ounces

angeales car leaked in 9days = 6×9=54

Answer:

Minimum=60

First Quartile(Q1)=79

Median=86

Third Quartile (Q3)=89

Interquartile range (IQR)=10

Answer: banana- 88

Orange-55

Apple-143

Step-by-step explanation:

220 divided by 5, times 2,

that’s the banana trees

220 divided by 4, that’s the oranges

Add the answers together

Take the answer away from 220 that’s the apples

Answer:

the median of 0 1 2 3 16 38 34 12 is 9.5

The Event of choosing a letter from F to D is

n(A) = 4

A series of possible results from an experiment that have been given a probability is called an event. Separate events in an experiment may not be equally probable, since they may involve vastly dissimilar sets of outcomes, and a single result may be a component of many different events.

Given that a bag contains eight different balls, each of which is labeled from A to H. Given that a ball is selected at random, and the letter it lands on is written down as the result. Given that there is an equal chance of drawing any one of the balls, the sample space for drawing one ball is

Generally, the equation for S is  mathematically given as

S = {A,B,C,D,E,F,G,H} and n(S) = 8

Therefore

G = The event of choosing a label from D to F

Where

F= {A,B,C,D}  

Sample size

n(A) = 4

In conclusion,

n(A) = 4

Read more about the Event

https://brainly.com/question/12961938

#SPJ1

The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

Read more about complex expressions at

https://brainly.com/question/10662770

#SPJ1

Answer:

True i guess

Step-by-step explanation:

The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).

It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.

In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.

Let the capacity of the mug be x.

Given,

Mug is 5/8 full and contains 3/4 of water

So, 5/8 of the mug is filled with water

Therefore,

5/8 of x = 3/4

(5/8 )x = (3/4)

x = (3/4) × (8/5)

x = (24/20)

x = 1.2

Therefore, the capacity of the mug is 1.2.

For more questions related to gallons

https://brainly.com/question/26007201

#SPJ1

Answer:

\(\dfrac{a^6}{144b^8}\)

Step-by-step explanation:

a) They did not use the exponent rule: \((a \cdot b)^n=a^nb^n\) correctly.

They added the exponents rather than multiplied them.

b) Correct solution:

\((12a^{-3}b^4)^{-2}\)

Apply exponent rule:  \(a^{-b}=\dfrac{1}{a^b}\)

\(\implies \dfrac{1}{(12a^{-3}b^4)^2}\)

Apply exponent rule: \((a \cdot b)^n=a^nb^n\)

\(\implies \dfrac{1}{12^2a^{(-3\times2)}b^{(4 \times2)}}\)

\(\implies \dfrac{1}{144a^{-6}b^8}\)

Apply exponent rule:  \(\dfrac{1}{a^{-b}}=a^b\)

\(\implies \dfrac{a^6}{144b^8}\)

Answer:

A

Step-by-step explanation:

Here is ur answer

- BRAINLIEST answerer

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

To determine the equation of a line, you may use two variations of the general form of a line.

These formulas are:

1) The Point-Slope Formula (y – y1) = m(x – x1)

2) The Slope-Intercept Formula y = mx + b

The standard form of a linear equation, also known as the “general form“, is:

ax+by=c

The letters aa, bb, and cc are all coefficients. When using standard form, aa, bb, and cc are all replaced with real numbers. The letter x represents the independent variable and the letter y represents the dependent variable.

A few notes on Standard Form:

Let us now determine the y-intercept. Remember, this is where the line crosses the y-axis and where x=0 To do so, we will substitute 0 for x

3y-5x=30

3y-5(0)=30

3y=30

y=10

Therefore, the y-intercept is at 10. This means the point (0,10) is on the graph.

To learn more about y-intercept:

https://brainly.com/question/14180189

#SPJ4

Answer:

The original cost of the pizza before the discount coupon and the tax was $49.28.

Step-by-step explanation:

Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:

100 - 8 = 92

100 = 37.50

92 = X

92 x 37.50 / 100 = X

34.50 = X

100 - 30 = 70

70 = 34.50

100 = X

100 x 34.50 / 70 = X

49.28 = X

Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.

Answer:

4 pounds and 1/4 ounces

Step-by-step explanation:

8 and 1 half pounds = 8.5 Ibs

One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4  or 4Ibs 4 ounces.

Brand B contains 3% saline solution by volume. Then, C is the right answer.

Percentage of saline solution in brand B, let x be.

We know that the overall volume of saline solution in the combination is 18% of 6 gallons plus x% of (18 - 6) gallons since Danielle blended brands A and B to make a total of 18 gallons of 8% saline solution.

Then the equation is given as,

0.18(6) + 0.01x(18 - 6) = 0.08(18)

Simplifying and solving for x, we get:

1.08 + 0.12x = 1.44

0.12x = 0.36

x = 3

Therefore, the percentage of saline solution in brand B is 3%.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ1

Answer:

$\(45\)

Step-by-step explanation:

\(30\)% \(\mathrm{of}\) $\(150\)

\(=\frac{30}{100}\times 150\\\)

\(=\) $\(45\)