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Lelechka [254]
3 years ago
7

Please help me with these questions

Mathematics
1 answer:
MAVERICK [17]3 years ago
8 0

Answer:

Step-by-step explanation:

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In NEED OF HELP! SO Frustrating!
vitfil [10]

ja, yo is correct, just expand that formula with your calculator

each one is 5% bigger than pevious

each one=previous+previous*5%

each one=previous*1+previous*0.05

each one=previous*(1+0.05)


each one is 1.05 times of previous

so after n years, if today year size is P then

A=P(1.05)^n

A=final size

so ya, after 18 years, n=18 so you get

A=859(1.05)^{18}

A=2067.29 microliters

6 0
4 years ago
X -5x -14=0 quadratic formula
Oksanka [162]
No its a negitive number one x minus five x's equal -14
8 0
3 years ago
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
Consider the triangle
svet-max [94.6K]

Answer:

Im confused what your trying to get at is there a picture or something

Step-by-step explanation:

4 0
3 years ago
Triangle- interior angle<br> Please help !
sp2606 [1]

Answer:

x = 25

<B = 120 degrees

<C = 30 degrees

Step-by-step explanation:

Total angle measure of a triangle - 180 degrees

Add all the angles together to find the value of x

30 + 4x + 20 + x + 5 = 180

55 + 5x = 180

55 - 55 + 5x = 180 - 55

5x = 125

\frac{5x}{5} = \frac{125}{5}

x = 25

<B = 4(25) + 20

<B = 100 + 20

<B = 120

<C = 25 + 5

<C = 30

7 0
4 years ago
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