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3 years ago

Someone would help me find the angle measure y

Mathematics

1 answer:

dsp733 years ago

4 0

Answer:

y = 65°

Step-by-step explanation:

z = 70° (corresponding angels are equal)

y + z = 135° (exterior angle theorem of a triangle)

y + 70 = 135 (substitution)

Subtract 70 from each side

y + 70 - 70 = 135 - 70

y = 65

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Express 3a2b-1 with positive exponents.

serg [7]

Answer:

a = 2b/3−1/3

Step-by-step explanation:

...........

8 0

3 years ago

Can somebody shade this for me? Thank you!

mylen [45]

Answer:

Hope this below ss is right:

8 0

2 years ago

Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

Choose the correct answers for (a) the total installment price, (b) the carrying charges, and (c) the number of months needed to

Brrunno [24]

Part A:

Given that <span>a dinette table with a cash price of $200 is purchased at $8.50 down and $11.00 per month for 24 months

The total installment price is given by

$P=\$8.50+\$11(24) \\ \\ =\$8.50+\$264=\$272.50$

Part B:

The carrying charges is given by the total installation price minus the cash price.

From part a, we obtained that the total installation price is $272.50 and given that the cash price is $200.

Therefore, the carrying charges is given by

$272.50 - $200.00 = $72.00

Part C:

If the money is to be saved at $11 per month to be able to purchase the table at the cash price, the number of months it will take to be able to save $200 at $11 per month is given by

$\frac{\$200}{\$11} =18.18\, months$

Therefore, it will take 19 months </span><span>to save the money at the monthly rate needed to buy the item for its cash price.</span>

3 0

3 years ago

Read 2 more answers

What kind of distribution is shown in the frequency table?

nirvana33 [79]

Answer:

Skewed to the right

Step-by-step explanation:

As we can see in the table, the first three intervals have smaller frequency and last 4 intervals have higher frequency values. When the class intervals and frequency will be plotted on graph while taking class intervals on x-axis and frequency at y-axis, the graph will be skewed to the right because of the larger frequency values in the last intervals..

8 0

3 years ago