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Bad White [126]
3 years ago
7

Find the area. Round to nearest tenth.

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
8 0
Area of Triangle: 120

Area of Circle 1: <span>132.73

Area of Half-Circle 2: </span><span>39.27

120 + 132.73 + 39.27 = 292 m²</span>
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there are 60 boys and 72 girls in a school. the principle wants to divide the students into gender-specific groups ( all boys or
Tamiku [17]
Hello there,
You want to split them into gender specific groups.
So...
Find the HCF(highest common factor) of 60 & 72 
The answer will be shown in the picture
I have done 2 methods :))


7 0
3 years ago
2. Suppose the temperature that most foods can stay bacteria free in restaurants varies approximately according to a normal dist
vagabundo [1.1K]

Answer:

28.4

Step-by-step explanation:

Given that:

Mean, m = 31.3

Standard deviation, s = 2.8

Since, data is normally distributed :

P(x < 0.15) gives a Z value of - 1.036

Using the Zscore formula :

Z = (x - mean) / standard deviation

-1.036 = (x - 31.3) / 2.8

-1.036 * 2.8 = x - 31.3

-2.9008 = x - 31.3

-2.9008 + 31.3 = x

28.3992 = x

The temperature which correlates to the bottom 15% of the distribution is 28.4

7 0
2 years ago
A petting zoo owner is building an enclosure for his farm animals. He needs 353 feet of fencing. The supply store sells fencing
jolli1 [7]
353/12 =29.41. But will have to round up to 30 so the answer is 30
4 0
3 years ago
Read 2 more answers
FUNNY MEMES THE FUNNIEST GETS BRAINLIEST!!!!!!!!!!!!!!!!
diamong [38]

Answer:

Does February March?.... NO, but APRIL MAY

Step-by-step explanation:

Does February March?.... NO, but APRIL MAY

Does February March?.... NO, but APRIL MAY

\Does February March?.... NO, but APRIL MAY

Does February March?.... NO, but APRIL MAY

Does February March?.... NO, but APRIL MAY

Does February March?.... NO, but APRIL MAY

3 0
2 years ago
Read 2 more answers
Suppose that 20% of the residents in a certain state support an increase in the property tax. An opinion poll will randomly samp
aleksklad [387]

Answer:

95.44% probability the resulting sample proportion is within .04 of the true proportion.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

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.

For the sampling distribution of the sample proportion in sample of size n, the mean is \mu = p and the standard deviation is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.2, n = 400

So

\mu = 0.2, s = \sqrt{\frac{0.2*0.8}{400}} = 0.02

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16.

X = 0.24

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{0.24 - 0.2}{0.02}

Z = 2

Z = 2 has a pvalue of 0.9772.

X = 0.16

Z = \frac{X - \mu}{s}

Z = \frac{0.16 - 0.2}{0.02}

Z = -2

Z = -2 has a pvalue of 0.0228.

0.9772 - 0.0228 = 0.9544

95.44% probability the resulting sample proportion is within .04 of the true proportion.

6 0
3 years ago
Read 2 more answers
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