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Naya [18.7K]
3 years ago
15

Need help ASAP Integrated math ll

Mathematics
1 answer:
Solnce55 [7]3 years ago
7 0

Answer:

∠ EFH = 112°

Step-by-step explanation:

∠ ACD and ∠ EFH are Alternate exterior angles and are congruent, thus

11x - 20 = 9x + 4 ( subtract 9x from both sides )

2x - 20 = 4 ( add 20 to both sides )

2x = 24 ( divide both sides by 2 )

x = 12

Thus

∠ EFH = 11x - 20 = 11(12) - 20 = 132 - 20 = 112°

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Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the z-score for each of the five observations. If required
Mila [183]

Answer:

\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}

Step-by-step explanation:

z-score is denoted by:

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

here,

\mu: mean

\sigma: standard deviation (or the square root of the variance)

so first we need to find the means of our sample:

\mu=\dfrac{10+20+12+17+16}{5}\\\mu = 15\\

Now to find the standard deviation we first need to find the variance of the sample. The variance is the sum of the squares of the differences of each value from the mean.

\sigma^2 = \dfrac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5}\\\sigma^2 = 12.8

the standard derviation is simply the square root of the variance!

\sigma = \sqrt{\sigma^2} \\\sigma = \sqrt{12.8} \\\sigma = 3.5778

Now that we all the values for our z-score formula. we can plug it in!

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

z=\dfrac{x-15}{3.5778}

Finally we'll use each value in place of x from our sample into the formula to find the z-score of each value.

z=\dfrac{10-15}{3.5778} = -1.397

z=\dfrac{20-15}{3.5778} = 1.397

z=\dfrac{12-15}{3.5778} = -0.839

z=\dfrac{17-15}{3.5778} = 0.559

z=\dfrac{16-15}{3.5778} = 0.2795

We can even display the z-scores in a table: (the x-values are in ascending order)

\begin{tabular}{c|ccccc}{$x$&10&12&16&17&20&z&-1.397&-0.839&0.2795&0.559&1.397&\end{tabular}

5 0
3 years ago
What is number of terms for 32y- 28​
Sholpan [36]

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

7 0
2 years ago
What is the area of the right triangle with sides 10,26 and 24
solniwko [45]
Answer:

Area = 120

Step-by-step explanation:

Area = 1/2 bh

Area = 1/2 (10)(24)

Area = 1/2 (240)

Area = 120

The area of the right triangle is 120
3 0
3 years ago
Read 2 more answers
Please help will mark brainliest if correct
dangina [55]

Answer:

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Answer:

stop cheating on your schoology test;)

Step-by-step explanation:

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