The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight

Which set contains values of x that makes this inequality true?<br> 7x<42

weqwewe [10]

Answer:

1, 2, 3, 4, and 5.

Step-by-step explanation:

7x1=7<42

7x2=14<42

7x3=21<42

7x4=28<42

7x5=35<42

4 0

3 years ago

A simple random sample of 85 analog circuits is obtained at random from an ongoing production process in which 21% of all circui

Ulleksa [173]

Answer:

63.81% probability that between 14 and 20 circuits in the sample are defective.

Step-by-step explanation:

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 samples 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 85, p = 0.21$ .

So

$E(X) = np = 85*0.21 = 17.85$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{85*0.21*0.79} = 3.7552$

P ( 14 ≤ X ≤ 20 )

Using continuity correction, this is $P(14 - 0.5 \leq X \leq 20 + 0.5) = P(13.5 \leq X \leq 20.5)$ , which is the pvalue of Z when X = 20.5 subtracted by the pvalue of Z when X = 13.5. So

X = 20.5

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

$Z = \frac{20.5 - 17.85}{3.7552}$

$Z = 0.71$

$Z = 0.71$ has a pvalue of 0.7611

X = 13.5

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

$Z = \frac{13.5 - 17.85}{3.7552}$

$Z = -1.16$

$Z = -1.16$ has a pvalue of 0.1230

0.7611 - 0.1230 = 0.6381

63.81% probability that between 14 and 20 circuits in the sample are defective.

6 0

3 years ago

Determine whether the series is convergent or divergent. If convergent, find the sum; if divergent, enter div . ∑n=1[infinity]3n

nadya68 [22]

Answer:

div

Step-by-step explanation:

$\sum\limits^\infty_{n=1}{3n(n+2)} \rightarrow\infty$

The infinite sum of any polynomial terms will be divergent.

7 0

3 years ago

Eileen has a greenhouse and is growing orchids. The table shows the average number of orchids that bloomed over a period of four

Anuta_ua [19.1K]

Answer:

B

Step-by-step explanation:

I believe this is the answer because each orchids is increasing by 1.4 each month. Hopefully I'm right on this.

3 0

3 years ago

Read 2 more answers

Rearrange the formula for the kinetic energy, K = \frac{1}{2} m v^2, to isolate v, the velocity.

Misha Larkins [42]

Answer: V = The square root of (2K/M)

We are starting with the formula: K = 0.5MV^2

Our first steps to isolate V would be to multiply by 2 and divide by M on both sides of the equation.

2K/M = V^2

Now, we just have to take the square root of both sides of the equation.

8 0

3 years ago