find the missing side of the right triangle.

Using the normal distribution, it is found that he needs a score of 605 in exam b in order to do equivalently well as he did on exam a.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the z-score for exam a, we have that the parameters are given as follows:

[tex]X = 22, \mu = 40, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 40}{10}[/tex]

Z = -1.8.

Then, for the equivalent grade X in exam B, we have that:

[tex]Z = -1.8, \mu = 650, \sigma = 25[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.8 = \frac{X - 650}{25}[/tex]

X - 650 = -1.8 x 25

X = 605.

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Answer:

The answer would be 3.8.

Step-by-step explanation:

Hope this helps!

Answer:

35\9 or 3.8

Step-by-step explanation:

[tex]\sf 7 \times \cfrac{5}{9} [/tex]

Let's combine numbers in one fraction.

[tex]\sf \cfrac{7 \times 5}{9} [/tex]

Multiply 7 and 5 which will give you 35.

[tex]\sf \cfrac{35}{9} [/tex] or [tex]\sf 3.8[/tex]

Answer:

12.8

Step-by-step explanation:

[tex]a^{2} + b ^{2} = c^{2} [/tex]

100+64=c^2

164=c^2

12.8=c

Answer:

6 model horses on each shelf.

Explanation:

number of horses on each shelf = total horse ÷ total shelves

Here given:

On each shelf, horses:

Check the picture below.

to check where the functions intersect, we can simply set them equal to each other so (x-2)² = 2x - 1, anyhow, not to bore you to death with that, it's as the picture shows it, at x = 1 and x = 5, so those are our bounds.

to get the R² part of the washer, what I do is using the "area under the curve" method of f(x) - g(x), where g(x) is the axis of rotation and f(x) is the farthest radius, so to get R² I'd process (x-2)² - (-1), that'd give me R and then I'd square that.

to get r², I do pretty much the same thing, f(x) - g(x) where g(x) is the axis of rotation and f(x) is the closest radius, in this namely (2x - 1) - (-1), and that'd give "r" and then we can square that to get r².

[tex]\begin{cases} R = 2x\\ r = x^2-4x+5 \end{cases}\hspace{5em} \begin{array}{llll} \stackrel{R^2}{4x^2}~~ - ~~\stackrel{r^2}{(x^4-8x^3+26x^2-40x+25)} \\\\\\ -x^4+8x^3-22x^2+40x-25 \end{array} \\\\[-0.35em] ~\dotfill\\\\ \displaystyle \pi \int\limits_{1}^{5}(-x^4+8x^3-22x^2+40x-25)dx \\\\\\ \pi \left[ -\cfrac{x^5}{5}+2x^4-\cfrac{22x^3}{3} +20x^2-25x\right]_{1}^{5}\implies \cfrac{1408\pi }{15}[/tex]

Answer:

The equation is n2 + 3

Step-by-step explanation:

The n represents the number.

for example the number 10

if you put it in the equation it becomes

(10)(2) +3

10x2=20

20+3=23

Answer:

increase in price = $6664

price of next model = $56664

Step-by-step explanation:

(11.9 ÷ 100 ) x 56000 = $6664

56000 + 6664 = $56664

Answer:

64 people

Step-by-step explanation:

multiply the number by of people the precentage who have genetic mutation (divide percentage by 100 before multiplying) 0.08 x 800 = 64

Based on the excerpt given on Paco's evaluation of Dan DeLuca's argument, the correct order is 3 - 4 - 1 - 2.

3 is the best sentence to start because it introduces the direction that DeLuca is taking in his argument. 4 is next because it then says what DeLuca's claims are.

1 is the third sentence because it expands on DeLuca's arguments and then 2 is the last sentence as it contains Paco's evaluation of the argument.

Find out more on ordering sentences at https://brainly.com/question/24186239.

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Answer:

its C: 3 – 4 – 1 – 2

Answer:

10

Step-by-step explanation:

The first line on the box plot is always the minimum value

Answer:

1) y = 1.5x + 1

2) y = x + 4

Explanation:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]

[tex]\sf \rightarrow y = 1.5x + 1[/tex]

[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]

[tex]\rigtharrow \sf y = x + 4[/tex]

Answer:

126 square yards

Step-by-step explanation:

So first you want to use this formula:

2(L×W) + 2(L×H) +2(W×H)

Then plug it in:

2(6×5) + 2(6×3) + 2(5×3)

Next you solve:

6×5 = 30×2 = 60

6×3 = 18×2 = 36

5×3 = 15×2 = 30

After this you add them all up:

60 + 36 + 30 = 126

So you answer is 126 square yards

Hope this helps :)

The orange one is an example of alternate interior angles.

Answer:

720[tex]x^{6}[/tex]+99

Step-by-step explanation:

Answer:

It's -3.125

Step-by-step explanation:

1/8 in decimal is 0.125

the 3 is a whole number so just put it in front.

Remember it's a negative, so you get:

-3.125

Answer:

-3.125

Step-by-step explanation:

- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]

- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]

- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125

Answer:

x = 34 degree

Step-by-step explanation:

they're corresponding angles. so, they have equal measures.

Answer:

500

-by-step explanation:

1000/2

The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Part A:

Total number of students = 154

Total number of students passed the test = 49

The probability:

P(pass | Test A) = 49/154 = 31.81%

Part B:

Total number of students = 154

Total number of students passed the test = 46

The probability:

P(pass | Test B) = 46/154 = 29.87%

Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%.

Learn more about the probability here:

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Answer:

87.5%

Step-by-step explanation:

add the number of students who took test A (49+7=56)

take the number of students who passed test A and divide it by the number of students who took the test A

49÷56=.875= 87.5%

Answer:

110

Step-by-step explanation:

Number of games won = Total games × Win percentage

Answer:

option number 4 seems sensible!

Answer

[tex]x = \frac{\pi }{6} + 2\pi n, \frac{5\pi }{6} + 2\pi n, \frac{3\pi }{2} + 2\pi n[/tex], for any integer n

Answer:

D or 270°

Step-by-step explanation:

2sin^2x+sinx-1

2sin^2(270°)+sin(270°)-1=0

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

By squaring the sum of two variables identity ~

[tex]\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab[/tex]

Now, plug in the given values ~

[tex]\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab[/tex]

[tex]\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:10 + ab = 18[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 18 - 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:ab = 8[/tex]

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4

Answer: Month

Step-by-step explanation: x represents the number of months, and because the equation is for number of clients per something, it would be month. I hope that helps!

Answer:

1. -3*-4+3= 15Y=152.-3*-2+3=9Y=93. -3*0+3=3Y=34. -3*2+3= -3Y= -3

by-step explanation: