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4 years ago

WHAT IS 25/8 AS A TERMINATING DECIMAL

Mathematics

2 answers:

Mariulka [41]4 years ago

8 0

25 is divided by 8
25 / 8
3.125

Aleksandr [31]4 years ago

8 0

Answer:

3.125

Step-by-step explanation:

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Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

adoni [48]

Answer:

The answer is √58 = 7.62

Step-by-step explanation:

So, if you draw this down, you will see that the direct distance is hypotenuse c of a right triangle which sides are 3 blocks (1 south and 2 north) and 7 blocks (4 west and 3 east).

Use the Pythagorean theorem:

c² = a² + b²

a = 3

b = 7

c² = 3² + 7²

c² = 9 + 49

c² = 58

c = √58

c = 7.62

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4 years ago

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MY LAST QUESTION!!!!!

Sati [7]

Answer:

9.20

Step-by-step explanation:

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3 years ago

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Z-m=z+bx , solve for b

KIM [24]

Answer:

b= (Z-m-z)/(x)

Step-by-step explanation:

Z-m=z+bx

Z-m-z=bx [Transpose z of R.H.S to L.H.S] / [Substract z from L.H.S and R.H.S]

(Z-m-z)/(x)=b [Divide by x on both sides i.e, L.H.S and R.H.S]

b= (Z-m-z)/(x)

Hope this helps you.

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3 years ago

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Consider an assembly line with 20 stations. Each station has a 0.5% probability of making a defect. At the end of the line, an i

vova2212 [387]

The answer is 0.4%. The probability that a unit end in a rework can be calculated using the following equation:

P(rework)= P(defects found) * P(defect)
= .8 * .005
= .004
= 0.4%

Thank you for posting your question. Feel free to ask me more.

6 0

3 years ago

Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

8 0

3 years ago