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jonny [76]
3 years ago
15

Find the perimeter of this figure. Please show work. ​

Mathematics
1 answer:
Elena-2011 [213]3 years ago
7 0

Answer:

  40.56 ft

Step-by-step explanation:

The perimeter is the sum of the lengths of the "sides" of this figure. Starting from the left side and working clockwise, the sum is ...

  P = left side (8 ft) + top side (10 ft) + semicircle (1/2×8 ft×π) + bottom side (10 ft)

  = 28 ft + 4π ft

  = (28 +12.56) ft

  P = 40.56 ft

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For a particular diamond mine, 81% of the diamonds fail to qualify as "gemstone grade". A random sample of 92 diamonds is analyz
Fed [463]

Answer:

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 92, p = 0.81

So

\mu = E(X) = np = 92*0.81 = 74.52

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{92*0.81*0.19} = 3.76

Find the probability that more than 79% of the sample diamonds fail to qualify as gemstone grade.

This is 1 subtracted by the pvalue of Z when X = 0.79*92 = 72.68. So

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

Z = \frac{72.68 - 74.52}{3.76}

Z = -0.49

Z = -0.49 has a pvalue of 0.3121

1 - 0.3121 = 0.6879

68.79% probability that more than 79% of the sample diamonds fail to qualify as gemstone grade

4 0
3 years ago
Do number 11 and show work plz
scoundrel [369]
Add seven:    +7
to the product of number and 10:     10z

together 10z+7

choose C
7 0
3 years ago
Please hurry it’s missing
navik [9.2K]

Answer:

★†\:1 \frac{3}{8}  \div 1 \frac{1}{12} \\  =  \frac{11}{8}  \div  \frac{13}{12}  \\  =  \frac{11}{8}  \times  \frac{12}{13}  \\  =  \frac{11}{2}  \times  \frac{3}{13}  \\  =  \frac{33}{26} =  \boxed{1 \frac{7}{26}}†✓

<h3><u>1 (7/26)</u> is the right answer.</h3>
7 0
2 years ago
Y= 3x^2 + 24x + 10<br> 3x+y=10
Anton [14]
The will be answer is 132
6 0
3 years ago
A Boston subway train traveling at constant speed traveled 10.1 miles in half an hour. What was the speed of the subway train? m
viva [34]

Answer: 20.2 mph

Step-by-step explanation:

Given

Train travels 10.1 miles in half an hour i.e.

Distance d=10.1\ \text{miles}

time t=0.5\ hr

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Insert the values

\Rightarrow 10.1=v\times 0.5\\\Rightarrow v=20.2\ mph

6 0
2 years ago
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