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Gekata [30.6K]
3 years ago
5

Use binomial thereom to find the 8th term of (x-2)^14

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0
I think it’s 14x-28
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A college conducts a common test for all the students. For the Mathematics portion of this test, the scores are normally distrib
Jet001 [13]

Using the normal distribution, it is found that 58.97% of students would be expected to score between 400 and 590.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 502, \sigma = 115

The proportion of students between 400 and 590 is the <u>p-value of Z when X = 590 subtracted by the p-value of Z when X = 400</u>, hence:

X = 590:

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

Z = \frac{590 - 502}{115}

Z = 0.76

Z = 0.76 has a p-value of 0.7764.

X = 400:

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

Z = \frac{400 - 502}{115}

Z = -0.89

Z = -0.89 has a p-value of 0.1867.

0.7764 - 0.1867 = 0.5897 = 58.97%.

58.97% of students would be expected to score between 400 and 590.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

6 0
2 years ago
Is the statement 2(3+5x)=6+5x always true?
mihalych1998 [28]
No that statement is not always true. There is only one solution to this equation.
5 0
3 years ago
Read 2 more answers
Kyle went to the store to purchase a hat. The hat’s normal price is $50, but he used a coupon which allowed him to save $20. Wha
tiny-mole [99]

Answer:

Kyle saves 40 percent

$50 is 100% of what he had

$20 would be 40%

50= 100

40= 80

30= 60

20= 40

10= 20

do what u will with that info I'm bad at wording things

4 0
3 years ago
The following condensed information was reported by Peabody Toys, Inc., for 2021 and 2020: ($ in thousands) 2021 2020 Income sta
never [62]

Answer:

The answers are given below.

Step-by-step explanation:

The computation is shown below:

1.a.

Profit Margin = Net Income ÷ Sales × 100

= $374 ÷ $6,900 ×100

= 5.4%

1-b:

Average Assets = (Beginning Assets + Ending Assets) ÷ 2

= ($3,200 + $3,600)  ÷ 2

= $3,400

Now  

Return on Assets = Net Income ÷ Average Assets

= $374 ÷ $3,400

= 11%

1-c

Average Equity = ($700 + $700 + $320 + $270) ÷ 2

= $995

Now  

Return on Equity = Net Income ÷  Average Equity *100

= $374 ÷ $995

= 37.59%

2:

Dividends Paid = Beginning Retained Earnings + Net Income – Ending Retained Earnings

= $270 + $374 - $320

= $324

4 0
3 years ago
1 poir
podryga [215]

The given options are:

  • (A)x+y = 20
  • (B)7 apps and 14 movies
  • (C)x-y= 20
  • (D)y=-x+ 20
  • (E)8 apps and 12 movies
  • (F)xy= 20

Answer:

  • (A)x+y = 20
  • (D)y=-x+ 20
  • (E)8 apps and 12 movies

Step-by-step explanation:

If Elizabeth has a combined total of 20 apps and movies.

Where:

Number of apps=x

Number of Movies =y

Then:

Their total,

  • x+y=20 (Option A)

If we subtract x from both sides

x+y-x=-x+20

  • y=-x+20 (Option D)

In Option E

8 apps and 12 movies  add up to 20. Therefore, this could also apply.

4 0
3 years ago
Read 2 more answers
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