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3 years ago

Find the measure of the complemeny of angle m where m is 31.1

1 answer:

8 0

The answer is: " 58.9° " .
___________________________
By definition, two (2) complementary angles must add up to 90°.

___________________________

" 90 - 31.1 = 58.9 " .
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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai

Blababa [14]

Let $X$ be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

$P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10$

where $Z$ follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

$P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)$

where $F_Z(z)=P(Z\le z)$ denotes the CDF of $Z$ , and $F_Z^{-1}$ denotes the inverse CDF. We have

$z_1=F_Z^{-1}(0.90)\approx1.2816$

Similarly, because 20% of students obtain less than 40 marks, we have

$P(X$

so that

$P(Z$

Then $\mu,\sigma$ are such that

$\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma$

$\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma$

and we find

$\mu\approx53.8739,\sigma\approx16.4848$

3 0

4 years ago

Find the inverse of the function y = cube root (x/3)-1

lianna [129]

Hello here is a solution :

4 0

3 years ago

I need answer asap !! please and thanks !

rusak2 [61]

Remember, ab+ac=a(b+c)

undistribute the 14
14(l)+14(3a)=14(l+3a)

D is answer

5 0

3 years ago

A rectangular prism with length width and heighth has a volume of two

kobusy [5.1K]

Answer:

9m3

Step-by-step explanation:

multiply every thing if the answer is not satisfactory its because there is a bunch of info losing

7 0

3 years ago

6 + 1.5x = -12 please answer

gregori [183]

Answer:

-12

Step-by-step explanation:

6 + 1.5x = -12

1.5x = -18

x = -12

3 0

3 years ago

Read 2 more answers