Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.

Answer:

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Step-by-step explanation:

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

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.

Central Limit Theorem

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

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

A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17.

This means that [tex]\mu = 118, \sigma = 17[/tex]

A randomly selected group of 40 members

This means that [tex]n = 40, s = \frac{17}{\sqrt{40}} = 2.6879[/tex]

What is the probability of having a sample mean of 115.8 or less for a random sample of this size?

This is the pvalue of Z when X = 115.8.

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

By the Central Limit Theorem

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

[tex]Z = \frac{115.8 - 118}{2.6879}[/tex]

[tex]Z = -0.82[/tex]

[tex]Z = -0.82[/tex] has a pvalue of 0.2061

0.2061 = 20.61% probability of having a sample mean of 115.8 or less for a random sample of this size

Answer:

4/52

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

The given is students that failed the test. 5 students completed the homework and failed the test and there is a total of 9 students who failed the test. So, the answer would be 5/9

Using it's concept, it is found that there is a 0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 21 - 12 = 9 students who failed the test, and of those, 9 - 4 = 5 completed the homework, hence the probability is given by:

p = 5/9 = 0.5556.

0.5556 = 55.56% probability that a student completed the homework given that they failed the test.

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Answer:

The answer is 13

Step-by-step explanation:

24+2=26

26÷2=13

Answer:

5. 4        6. 6

Step-by-step explanation:

Number 5

[tex]10-2\sqrt{9}[/tex]

[tex]2\sqrt{9}=6[/tex]

[tex]=10-6[/tex]

Subtract the numbers: 10 - 6 = 4

[tex]=4[/tex]

Number 6

[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]

[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]

[tex]=70-64[/tex]

Subtract the numbers: 70 - 64 = 6

[tex]=6[/tex]

Answer:

x=21 not sure if this is the answer

Answer:

9x+4

Step-by-step explanation:

Answer:

number 3 the answer

Step-by-step explanation:

Answer:

189 cm^3

Step-by-step explanation:

7 times 9 times 3=189

Answer:

♡●●♡♤●■

⊙♡}°♡■♡°€€£●€●●£7●£7{●£6{●€6¥■

Step-by-step explanation:

86{\86{●

Answer:

.......................................... k

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

The number of times that josh rolled each number is given so the mean or average of the dice rolls​ is 3.6.

Probability is a branch of mathematics that deals with the study of random events or outcomes.

It is concerned with determining the likelihood of an event or outcome occurring in a given situation.

The probability of an event is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain.

The average of dice roll is:

Average = 1/100 (15 x 1 + 18 x 2 + 14 x 3 + 16 x 4 + 19 x 5 +18 x 6)

Average = 1/100 (15 + 36 + 42 + 64 + 95 + 108)

Average = 1/100 x 36

Average = 3.6

Thus, the answer is 3.6.

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Your question seems incomplete, the probable complete question is:

Answer:

19.64 ft

Step-by-step explanation:

7/25 = 5.5/x

7x = 137.5

x = 19.64

Answer:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Assume that σ=21 and determine the required sample size.

A sample size of n is needed.

n is found when M = 6. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]6 = 2.575\frac{21}{\sqrt{n}}[/tex]

[tex]6\sqrt{n} = 2.575*21[/tex]

Dividing both sides by 3

[tex]\sqrt{n}= 2.575*3.5[/tex]

[tex](\sqrt{n})^2 = (2.575*3.5)^2[/tex]

[tex]n = 81.2[/tex]

Rounding up:

The required sample size is 82. This number of people could be sampled in an afternoon, for example, at a commercial center in a city, which means that it is a reasonable sample size for a real world calculation.

Answer:

8r.

Step-by-step explanation:

If we substitute 3 into all of these equations, we get

8(3) which equals 24

6(3) which equals 18

9(3) which equals 27

7(3) which equals 21

8r is the one that equals 24 when 3 is substituted.

Answer:

10

Step-by-step explanation:

Answer:

D.) Air pollution has steadily decreased since 1999, before suddenly increasing.

Step-by-step explanation:

right on edge

Air pollution has steadily decreased since 1999, before suddenly increasing. Therefore, option D is the correct answer.

A car with low emissions produces very little pollution. A low-emission zone is an area where polluting cars are either not allowed or must pay to enter. They've developed a new kind of low-emission buses.

Vehicles that are either designated as Zero emission Vehicles or as Low Emission Vehicles are considered low-emitting and fuel efficient.

Air pollution has steadily decreased since 1999, before suddenly increasing is the statement best describes air quality in Houston since 1999. As the use of mass transit and transitioning to fuel-efficient or low-emission vehicles.

Therefore, option D is the correct answer.

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Answer: 4.7140452079

Step-by-step explanation: (√200) ÷ (3)

Answer:

3√2/20

decimal form- 0.21213203435

Answer:

x = 1

Step-by-step explanation:

h(x) = -2x + 5 and h(x) = 3

which means -2x + 5 = 3

solve for x

-2x + 5 = 3

      -5     -5

-2x = -2

-2      -2

x = 1

Answer:

y=mx+b

Step-by-step explanation:

Answer:

3.99928901529

Step-by-step explanation:

multiply 12.5 by 4.5 and you get 56.25 and you divide 225 by 56.25 and you get 3.99928901529

The value of P(X ≥ 93) when X pertains a normal distribution with mean of 79 and standard deviation of 7 is 0.0228

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

[tex]X \sim N(\mu, \sigma)[/tex]

(X is following normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex])

then it can be converted to standard normal distribution as

[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

[tex]P(Z \leq z) = P(Z < z) )[/tex]

Also, know that if we look for Z = z in z tables, the p value we get is

[tex]P(Z \leq z) = \rm p \: value[/tex]

For this case, we're specified that:

X pertains a normal distribution with mean of 79 and standard deviation of 7, symbolically, we have:

[tex]X \sim N(\mu = 79, \sigma = 7)[/tex]
The needed probability is P(X ≥ 93)

Converting X to standard normal variate makes us evaluate this probabiilty as:

[tex]Z = \dfrac{X -\mu}{\sigma} \sim N(0,1)\\\\P(X \geq 93) = 1 - P(X < 93)\\\\P(X \geq 93) = 1 - P\left (Z < \dfrac{93-79}{7}\right)\\\\P(X \geq 93) = 1 - P(Z < 2)[/tex]

The p-value for Z = 2 (from the z-tables) is found to be 0.9772

Thus, we get:

[tex]P(X \geq 93) =1 - P(Z < 2) = 1 - P(Z \leq 2) = 1 - 0.9772\\P(X \geq 93) = 0.0228[/tex]

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Answer:

true

Step-by-step explanation:

Answer: this game is honestly good for the kids u teaching them how to count by roulling the dice

Step-by-step explanation:

Answer:

The answer is 90

Step-by-step explanation:

A= L*W

so when you are given the are and the width you need to divide the area by the width to find the length

Answer:

3000 pounds :)

hope this helped<3

Answer:

It is going to be C.9 hope this help hopefully not late. :D

Step-by-step explanation:

Its like a train so (2x3)+8x(7x-2)= your answer but you can solve it in a calculator :D

Answer:

D. 7

Step-by-step explanation:

According to this problem, the sum of the angles is 90°. This means we're adding.

2x + 3x + 8 + 7x - 2 = 90.

To make this easier to solve, we can combine like terms.

2x + 3x + 7x = 12x.

The remaining numbers are 8 and -2.

8 + -2 = 6

Our final expression is:

12x + 6 = 90

First, subtract 90 from 6 and get 84.

Lastly, divide the difference (84) by 12.

12x = 84

84 / 12 = 7.

Therefore, the value of x is 7.

Answer: I could be wrong- but I thinkkkk its 42