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2 years ago

Can someone please explain the steps to get too the second answer also please answer too thank you

Mathematics

1 answer:

stealth61 [152]2 years ago

4 0

Answer : y = 81
Explanation :
So y = x × 9. Then if x = 9, mutiply it by 9 and equals 81.
Hope it helps !

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Assume that the probability of a defective computer component is 0.02. Components arerandomly selected. Find the probability tha

solmaris [256]

Answer:

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

Step-by-step explanation:

Assume that the probability of a defective computer component is 0.02. Components are randomly selected. Find the probability that the first defect is caused by the seventh component tested.

First six not defective, each with 0.98 probability.

7th defective, with 0.02 probability. So

$p = (0.98)^6*0.02 = 0.0177$

0.0177 = 1.77% probability that the first defect is caused by the seventh component tested.

Find the expected number and variance of the number of components tested before a defective component is found.

Inverse binomial distribution, with $p = 0.02$

Expected number before 1 defective(n = 1). So

$E = \frac{n}{p} = \frac{1}{0.02} = 50$

Variance is:

$V = \frac{np}{(1-p)^2} = \frac{0.02}{(1-0.02)^2} = 0.0208$

The expected number of components tested before a defective component is found is 50, with a variance of 0.0208.

5 0

3 years ago

[Geometry Basics] I'm just checking if this is correct:

Leno4ka [110]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ x &,& y~) 
% (c,d)
&&(~ -9 &,& -1~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-9+x}{2}~~,~~\cfrac{-1+y}{2} \right)=\stackrel{midpoint}{(8,14)}\implies 
\begin{cases}
\cfrac{-9+x}{2}=8\\\\
-9+x=16\\
\boxed{x=25}\\
-------\\
\cfrac{-1+y}{2} =14\\\\
-1+y=28\\
\boxed{y=29}
\end{cases}$

$\bf -------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ x &,& y~) 
% (c,d)
&&(~10 &,& 12~)
\end{array}\qquad
\\\\\\
\left( \cfrac{10+x}{2}~~,~~\cfrac{12+y}{2} \right)=\stackrel{midpoint}{(6,9)}\implies 
\begin{cases}
\cfrac{10+x}{2}=6\\\\
10+x=12\\
\boxed{x=2}\\
-------\\
\cfrac{12+y}{2} =9\\\\
12+y=18\\
\boxed{y=6}
\end{cases}$

3 0

3 years ago

Use a single digit times a power of 10 to express the number 866,214,000,000

BartSMP [9]

Answer:

8.66214 x 10^11

Step-by-step explanation:

question may ask to round, so the answer may be simplified to 9 x 10^11

3 0

4 years ago

Dean has a spinner that is divided into 4 equal sections are labeled 1, 2, 3, and 4. Dean spun the spinner 60 times. He recorded

ICE Princess25 [194]

Answer:

Step-by-step explanation:

Dean recorded the results of spinning the spinner 60 times:

Number 1 spun 12 times
Number 2 spun 17 times
Number 3 spun 15 times
Number 4 spun 16 times

The <u>experimental probability</u> is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.

Find all experimental probabilities:

$P_{1}=\dfrac{12}{60}=\dfrac{1}{5}\\ \\P_{2}=\dfrac{17}{60}\\ \\P_3=\dfrac{15}{60}=\dfrac{1}{4}\\ \\P_4=\dfrac{16}{60}=\dfrac{4}{15}$

Hence, option B is correct

7 0

4 years ago

1/2 + (103 1/2 + 12)

butalik [34]

Answer:

Step-by-step explanation:

103 1/2 + 12 = 115 1/2

1/2 + 115 1/2 = 116.

6 0

3 years ago