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3 years ago

HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER

Mathematics

2 answers:

NeTakaya3 years ago

7 0

Step-by-step explanation:

x=90°

SUM OF ALL ANGLES OF PENTAGON =540

90+2(180-Y)+105+113=540

90+360-2Y+105+113=540

488-2Y=540

mixer [17]3 years ago

6 0

Answer:

Step-by-step explanation:

You can figure it out by adding all the interior angles.

(180-75=105º)

(180-67=113º)

105+113+90=308º

The sum of interior angles is (n-2) × 180 so the sum in his case is

(5-2) ×180=540º

540º-308º=232º

However that is the sum of the two angles but since the angles are the same size, we can divide by 2

232º÷2=116º

We must remember that this is an interior angle so we now can calculate the value of y

180º-116º=64º

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The length of a rectangle is twice its width. If the perimeter of the rectangle is 30m, find its area.

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If the perimeter of the rectangle is 30cm , find its area. W=5 FOR THE WIDTH. 5*10=50 FOR THE AREA.

Step-by-step explanation:

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3 years ago

Read 2 more answers

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$

There may be a problem when a child is in the top or bottom 5% of heights. Determine the heights of 2-year-old children that could be a problem.

Heights at the 5th percentile and below. The 5th percentile is X when Z has a p-value of 0.05, so X when Z = -1.645. Thus

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

$-1.645 = \frac{X - 32}{1.5}$

$X - 32 = -1.645*1.5$

$X = 29.5$

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A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a

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Answer: 267.

Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

$n=0.25(\dfrac{z^*}{E})^2$ , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96 [By z-table ] , we get

$n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267$

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