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hichkok12 [17]
3 years ago
14

Thank you!!! 20 points

Mathematics
1 answer:
GREYUIT [131]3 years ago
5 0

Answer:

Assuming that the figure is a rectangle:

x=12

angle GJH=22 degrees

Step-by-step explanation:

angle GHJ=angle IJH

5x+8=7x-16

simplify

2x=24

x=12

angle IJH=7x-16

substituting for x

IJH=7(12)-16=84-16=68 degrees

angle GJH=90-IJH

angle GJH=22 degrees

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liubo4ka [24]

ANSWER:

The average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

STEP-BY-STEP EXPLANATION:

The cental limit theorem states, that id the sample size is large (30 or more), then the sampling distribution of the sample means is approximately normal with mean ц and standar deviation б/\sqrt{n}

Thus the correct answer is the average burnout time of a large number of bulbs has a sampling distribution that is close to Normal.

6 0
3 years ago
Simplify the expression and show work 4(3x-2)-7(x+5)
Gennadij [26K]

Answer:

5x - 43

Explanation:

Given the below expression;

4\left(3x-2\right)-7\left(x+5\right)

To simplify the above, we'll go ahead and use the numbers outside the parentheses to multiply the ones inside to clear the parentheses as seen below;

\begin{gathered} 12x-8-7x-35 \\ =12x-7x-8-35 \\ =5x-43 \end{gathered}

So the answer is 5x - 43

7 0
1 year ago
In a sociology class there are 1414 sociology majors and 1111 non-sociology majors. 33 students are randomly selected to present
saul85 [17]

Answer: 0.4065

Step-by-step explanation:

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Total students = 14+11=25

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Then, the number of ways to select 3 students from 25 students :-

^{25}C_3=\dfrac{25!}{(25-3)!3!}=\dfrac{25\times24\times23\times22!}{22!3!}\\\\=2300

Number of ways to select  at least 2 of the 3 students re non-sociology majors :-

^{14}C_1\times^{11}C_2+^{14}C_0\times ^{11}C_{3}\\\\=(14)\times\dfrac{11!}{2!(11-2)!}+(1)\times\dfrac{11!}{3!(11-3)!}\\\\=(14)(11\times5)+\dfrac{11\times10\times9}{6}\\\\=770+165=935

The probability that at least 2 of the 3 students selected are non-sociology majors will be :-

\dfrac{935}{2300}=0.40652173913\approx0.4065

8 0
3 years ago
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Dominik [7]

Answer:

Step-by-step explanation:

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