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2 years ago

5

Laura works at a coffee shop. Her boss has asked that she write down how many minutes each of the next 10 orders take to make. H

er results are shown below. Calculate the measure of center—the mean—of the data Laura collected. 6,2,4,2,2,7,5,6,3,3

1 answer:

ASHA 777 [7]2 years ago

8 0

Answer:

4

Step-by-step explanation:

6+2+4+2+2+7+5+6+3+3=40

40/10=4

Therefore the mean is 4

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What is the value of x?<br> A:3.6<br> B:5.8<br> C:11.5<br> D:14.3

nignag [31]

I is C because you use the pythag theorem

8 0

2 years ago

A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 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:

$n = 110, p = 0.2$

So

$\mu = E(X) = np = 110*0.2 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952$

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

$Z = \frac{25 - 22}{4.1952}$

$Z = 0.715$

$Z = 0.715$ has a pvalue of 0.7626.

X = 17

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

$Z = \frac{17 - 22}{4.1952}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0

3 years ago

Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocit

yuradex [85]

Define i as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
-23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
200j mph or as (0, 200) mph

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
tan⁻¹ 23/200 = 6.56° west of north.

7 0

3 years ago

Alexxx [7]

Answer:

there is a 3/4 chance that they pass will be completed, 3/4=75%.

Step-by-step explanation:

Thats all I got, I hope this may help tho! :)

6 0

2 years ago

Read 2 more answers

How does the structure of a trinomial with a leading coefficient of 1 and a positive constant help to factor it?

mixer [17]

Answer:

See explanation

Step-by-step explanation:

If a quadratic trinomial has a leading coefficient of 1 and a positive constant, then it is very easy to factor.

You just have to look for two factors of the constant term that add up to the coefficient of x( the middle term).

Then you write as factors.

For instance;

${x}^{2} +5 x + 6$

To factors of 6 that add up to 5 are 2 and 3.

Therefore the factorization is:

$(x + 2)(x + 3)$

8 0

2 years ago