!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Using the normal distribution and the central limit theorem, it is found that there is a 0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem:

The probability is 1 subtracted by the p-value of Z when X = 99, hence:

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

By the Central Limit Theorem

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

[tex]Z = \frac{99 - 108}{4}[/tex]

[tex]Z = -2.25[/tex]

[tex]Z = -2.25[/tex] has a p-value of 0.0122.

1 - 0.0122 = 0.9878.

0.9878 = 98.78% probability that the mean lifetime of components in this sample will be longer than 99 months.

A similar problem is given at https://brainly.com/question/24663213

Answer:The radical symbol √ is used to indicate the square root. For example, √16 = 4. The radical symbol is also called a root symbol or surds. If a number is a perfect square, we can easily find the squar

Step-by-step explanation:

Answer:

Step-by-step explanation:

The square root of a number is a whole number between 50 and 100.

Let the number be n, given:

Square both sides:

The number is a perfect square between 2500 and 10000.

Let the number is n:

Square both sides:

Solution is:

The answer is yes, the number must be between 0 and 1.

5! + 5! = ?

= 5 × (5 - 1) × (5 - 2) × (5 - 3) × (5 - 4) × 2

= 5 × 4 × 3 × 2 × 1 × 2

= 120 × 2

= 240

[tex] \: \: \: \: \: \: [/tex]

[tex] = 120 \times x![/tex]

[tex]5! \times 5![/tex]

[tex]5 \times 4 \times 3 \times 2 \times 1 \times x![/tex]

[tex] = 120 \times x![/tex]

[tex] \: \: \: \: \: \: [/tex]

Answer:

she'll type 80 words.

Step-by-step explanation:

200/x=30/12

x=(200×12)/30=80

Answer:

would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

y=-x-1

when it is perpendicular, it is the opposite then flip the fractions so 1 and if you flip 1 it is still 1

Answer:

I think so..I'm not really sure though, u know?

Answer

The ratio of bananas to apples is 3 to 4

Step-by-step explanation:

Answer:

9 laps

Step-by-step explanation:

Set up a proportion

3 laps / 6 minutes = x [which represents laps]/18 minutes  Cross multiply

6*x = 3 * 18                 Combine

6x = 54                       Divide by 6

6x/6 = 54/6

x = 9

Answer:

Step-by-step explanation:

It works well to find the slope using points where the graph crosses grid intersections. We see two of those are (0, 4) and (1, 9). The slope formula tells us ...

  m = (y2 -y1)/(x2 -x1)

  m = (9 -4)/(1 -0) = 5

The slope is 5.

__

The y-intercept is the value of y when x=0. The point (0, 4) tells us ...

The y-intercept is 4.

Answer:

7, 11, 39 OR -26, 1, 77;

Step-by-step explanation:

Mumble. Let's call the first number 13k, which is obviously a multiple of 13.

The factor of 77 are easy to find. It's either 77 and 1, or 11 and 7.

Now two cases. If we consider negative multiples of 13 (ie, -39 is -3 times 13) we can use the first pair (77 and 1, who sum up to 78, and start taking 13 from it as many times as we need to get to our interval.

1st pass: 78-13 = 65 out

2nd pass: 65-13 = 52 in

3rd pass : 52 - 13 = 39 out

So a possible triplet is 77, 1 and -26.

Case two: we aren't allowed to take negative numbers, and 77 and 1 will bring out of our range already. Let's stick to 11 and 7, who sum up to 18. Again, let's keep adding 13 as many times as we need

1st pass: 18+13 = 31, no good

2nd pass: 31+13 = 44, out again

3rd pass: 44+13= 57, we're good!

4th pass: 57+13 = 70, too far.

So another possible triplet is 7, 11, 39.

The moment you allow the product of the second and third number to be rationals will open a whole new can of worm that isn't any close to be interesting or fun to explore.

Answer:

you mean different b/n -3 and 3 ya ?ok -3 is get left of zero and positive 3 is (3>0) but -3<0

Answer:

45.454

Step-by-step explanation:

Answer:

Dehydrogenation is the a chemical reaction that involves the removal of hydrogen, usually from an organic molecule. It is the reverse of hydrogenation. Dehydrogenation is important, both as a useful reaction and a serious problem.

Answer:

y = - 3x + 15

Answer:

20 minutes

Step-by-step explanation:

hope it helps u

plzz plzz plzz mark as brainliest

Answer: 3 hours

Step-by-step explanation:

To solve this problem, utilize something called the unit rate.

Because it takes three workers(x) 8 hours to apply two coats of paint, simply write: x/3 = 8 ÷ 2.

x/3 = 4

x = 4 * 3

x = 12

Thus, it takes one worker 12 hours, or 720 minutes to apply one coat of paint.  Thus, because the number of workers is multiplied by 4, divide the time spent by 4, to get 3 hours, or 180 minutes.

Hope it helps :) and let me know if you want me to elaborate.

N.B. This is an inverse relationship, as when the number of workers increases, the amount of time decreases.

Answer:

a. 1-2(-2) + 3(-5) = 1-4 -15 = -18

b. -|-2--5| = |3| = -3

d. 1/2x+1/3y = 1/2 (-2) + 1/3(-5) = -1 - 5/3 = -8/3

Hope it works

Answer:

Step-by-step explanation:

6.15/5=1.23

The answer is B.

Answer:

2,1

Step-by-step explanation:

Solving a linear equation we can see that Paxton was a member for 5 months.

We know that the local pool near Paxton's house charges a one-time registration fee of $18.25 and $17.50 per month, then the cost for x months is modeled by the linear function.

f(x)= 18.25 + x*17.50

We know that Paxton paid $105.75, then we need to solve the equation:

105.75 = 18.25 + x*17.50

Solving that for x we will get:

105.75 - 18.25 = x*17.50

87.50/17.50 = x

5 = x

Paxton was a memeber for 5 months.

Learn more about linear functions at:

https://brainly.com/question/15602982

#SPJ1

Answer:

Hello!

After reading your question I have come up with the correct way to factor (x-4) and (x-3) together:

x²-7x+12

Step-by-step explanation:

This is my work:

Answer:

50 is sum of gcf its couldn't of 19 is 20

Answer:

$6.75

Step-by-step explanation:

try try serving it's ok glad to help

Answer:

the graph would just be a straight line going up at points (0, 0.5)

Step-by-step explanation:

This would have no slope

Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.