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gavmur [86]
3 years ago
15

Find the perimeter. Use 3.14 for pi.

Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Step-by-step explanation:

perimeter=4×6-1/4 ×2π×3=24-1/2×3.14×3=24-4.71=19.29cm

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Solve for g.<br> 2g - 3 &lt;1
Olegator [25]

Answer:

g < 2

Step-by-step explanation:

2g - 3 < 1 , add 3 to both sides

2g -3 + 3 < 1+3 , combine like terms

2g < 4, divide both sides by 2

g < 2

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3 years ago
Help me plz.................
Brrunno [24]

Answer:

3/5

Step-by-step explanation:

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In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice
SVETLANKA909090 [29]

Step-by-step explanation:

Let's assume x = apple juice, y = orange juice, and z = cranberry juice

1 = x + y + z \\ 1 =  \frac{3}{4}  + \frac{1}{10}  + z \\ z = 1 -  \frac{3}{4}  -  \frac{1}{10}  \\ z =  \frac{3}{20}

<u>x : y : z = 3/4 : 1/10 : 3/20</u>

If we were to make them all in the same denominator, x : y : z = 15/20 : 2/20 : 3/20.

\frac{3}{4}  \times  \frac{5}{5}  =  \frac{15}{20}  \\  \\  \frac{1}{10}  \times  \frac{2}{2}  =  \frac{2}{20}

5 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
(50 points) What is the volume of the cone in terms of π?
natta225 [31]

Answer:

D

Step-by-step explanation:

i think

7 0
3 years ago
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