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Vladimir [108]
3 years ago
14

Find the measure of angle x in the figure below67 61уX67​

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0
The answer is y67
6n-12
kondor19780726 [428]3 years ago
3 0

Answer: y67

Step-by-step explanation:5n − 19 + n + 7 = 144 − 6n

6n − 12 = 144 − 6n

12n = 156

n = 13

m∠z = (144−6n)°

m∠z = (144−6×13)°

m∠z = y67

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Ella bought some key chains and spent a total of $32. Each key chain cost the same whole-dollar amount. She bought between 6 and
MrRa [10]
Ella bought 8 keychains. She spent 4 dollars on each KeyChain. Hope this helps
5 0
3 years ago
College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall
Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

z=\frac{x-\mu}{\sigma}

z = z-score,

x = Random sample score,

\mu = Mean,

\sigma = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

35\text{ min}=0.58\text{ Hour}

z=\frac{9.6-8.6}{0.58}

z=\frac{1}{0.58}

z=1.72

Now, we need to find P(z>1.72).

Using formula P(z>a)=1-P(z, we will get:

P(z>1.72)=1-P(z

Using normal distribution table, we will get:

P(z>1.72)=1-0.95728

P(z>1.72)=0.04272

0.04272\times 100\%=4.272\%

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0
3 years ago
The percent frequency for S&P 100 companies in the Consumer Staples sector is
torisob [31]

The percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

<h3>How to determine the percentage frequency?</h3>

From the pie chart of the dataset (see attachment for the pie chart), we have:

Consumer Staples = 8.2%

This means that the percent frequency for S&P 100 companies in the Consumer Staples sector is 8.2%

Read more about pie charts at:

brainly.com/question/24461724

#SPJ1

8 0
2 years ago
A $387.50 item is marked down by 49%.<br> What is the new cost of the item?
Free_Kalibri [48]
Initial(1-markdown)
387.50(1-49%)=197.625

final answer: $197.63
5 0
4 years ago
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
MAVERICK [17]

Answer:

Probability Mass Function:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification  as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064

P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608

P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902

P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736

PMF:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

8 0
3 years ago
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