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2 years ago

A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the

1 answer:

6 0

Your answer is 26.

We have to go at this kind of backward.

We find the average by adding up the numbers, then dividing by how many numbers we have.

In this example, we will have 5 numbers...so
x divided by 5 = 18

x/5 = 18
x = 90

The sum of all 5 numbers is 90, so then subtract the 4 numbers you already know to find the one you’re missing. (We’ll call it n)

90 - 8 - 12 - 18 - 26 = n

90 - 64 = n
n = 26

Please let me know if you have any questions.

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The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,00

timama [110]

Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067

Step-by-step explanation:

Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = life expectancy of the brand of tire in miles.

µ = mean

σ = standard deviation

From the information given,

µ = 40000 miles

σ = 5000 miles

The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

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3 years ago

SOMEONE HELP PLEASE <br> WILL GIVE PERSON WHO IS RIGHT BRAINLIST

lilavasa [31]

Step-by-step explanation:

ur ans n fine me brainlist!

8 0

2 years ago

What is the final amount if 931 is decreased by 1% followed by a 1% increase?

earnstyle [38]

Answer:

930.91

Step-by-step explanation:

931 x 99% = 921.69

921.69 x 101% = 930.9069

8 0

3 years ago

Read 2 more answers

Dancing Pools sells swimming pools in 4 sizes. The small pool is 72 feet long and 16 feet wide. The medium pool is 80 feet long

Lady bird [3.3K]

Answer:

Step-by-step explanation:

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3 years ago

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Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180

torisob [31]

I got

$- \frac{6 3}{65}$

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

$\cos(a - b) = \cos(a) \cos(b) + \sin(a) \sin(b)$

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

${12}^{2} + {y}^{2} = {13}^{2}$

$144 + {y}^{2} = 169$

$25 = {y}^{2}$

$y = 5$

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

$( - 3) {}^{2} + {x}^{2} = {5}^{2}$