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Studentka2010 [4]
3 years ago
11

Change 1/5 to a decimal with work shown

Mathematics
2 answers:
uranmaximum [27]3 years ago
7 0

Answer:

.2

1/5=2/10 2/10=.2

Bogdan [553]3 years ago
5 0

Answer:

0.2 or 20%

Step-by-step explanation:

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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use 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.

Central Limit Theorem

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

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

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
Which expression is equivalent to 4/5 divided by 8
notsponge [240]
4/5 divided by 8 is 0.1 other than that I don’t know that question is kind of vague
6 0
3 years ago
Question is "solve each of the following systems using SUBSTITUTION METHOD
Artyom0805 [142]
Y=3x-2
y=3(4)-2
y=12-2
y=10

I hope this helps.
8 0
3 years ago
How many helmets must the company make and sell to break even? helmets
klio [65]

The sale the company must make and sell to break even is;

B=600

<h3>How many helmets must the company make and sell to break even?</h3>

Generally, the equation for the break even  is mathematically given as

In conclusion

B=y vertex/price of each

Therefore

B=15600/26

B=600

In conclusion, the company's  break even is

B=600

CQ

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a  y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?

Read more about Arithmetic

brainly.com/question/22568180

#SPJ4

8 0
2 years ago
Read 2 more answers
Number 6 plz!! Answer fast!!
zysi [14]
IF A MOD DOESN'T DELETE THIS

8 is the GCF, so that means it's 8(3+5) = 8(8) = 64
6 0
3 years ago
Read 2 more answers
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