Simplify and solve for x.

I'm trying to buy this style fence. I have 480 feet to cover and each rail is 16 feet long. how many do I Need? once they arrive

jasenka [17]

You will need 960 posts.

hope it helps

7 0

4 years ago

HELP PLEASE HELP ME

Marina CMI [18]

Answer:

1. k≤ 26.11 hours

2. 5 ≤ x ≤ 6

Step-by-step explanation:

1.

38.76 + 2.69k ≤ 109

2.69k ≤ 70.24

k ≤ 26.11 hours

2.

19 ≤ 4 + 3x ≤ 22

15 ≤ 3x ≤ 18

5 ≤ x ≤ 6

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-Chetan K

5 0

3 years ago

In mr.primes class, 9/10 of the students had done their homework. Of these, 2/3 had al correct answers. What fraction of the who

Archy [21]

$\frac{9}{10} \times \frac{2}{3} =\boxed { \frac{3}{5} }$

5 0

3 years ago

Residences of U.S. Citizens According to the U.S. Census, 67.5% of the U.S. population were born in their state of residence. In

trasher [3.6K]

Answer:

P(X < 126) = 0.0418

Step-by-step explanation:

To solve this question, we use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Sample of 203, 67.5% of the U.S. population were born in their state of residence.

This means that $n = 203, p = 0.675$

So, for the approximation:

$\mu = E(X) = np = 203*0.675 = 137.025$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{203*0.675*0.325} = 6.67$

What is the probability that fewer than 126 were born in their state of residence?

Using continuity correction, this is P(X < 126 - 0.5) = P(X < 125.5), which is the pvalue of Z when X = 125.5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{125.5 - 137.025}{6.67}$

$Z = -1.73$

$Z = -1.73$ has a pvalue of 0.0418

So

P(X < 126) = 0.0418

8 0

3 years ago

5. Greg used a sensor to measure the speed of a moving car at different

Hatshy [7]

The correct option regarding whether the table represents a proportional relationship is:

The relationship is proportional because the ratio of m to k is constant.

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the ratio of m to km is given as follows:

k = 11/17.699 = 26/41.834 = 34/54.706 = 0.6215.

Since the values are equal, the correct option is:

The relationship is proportional because the ratio of m to k is constant.

More can be learned about proportional relationships at brainly.com/question/10424180

#SPJ1

4 0

2 years ago