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2 years ago

What is the scale factor of the dilation?

Mathematics

1 answer:

otez555 [7]2 years ago

7 0

Step-by-step explanation:

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The scores for a certain test of intelligence are normally distributed with mean 85 and standard deviation 11. Find the 90th per

jonny [76]

Answer:

99.1 is the 90th percentile of these scores.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 85

Standard Deviation, σ = 11

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.90

$P( X < x) = P( z < \displaystyle\frac{x - 85}{11})=0.90$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.282) = 0.90$

Putting values, we get,

$\displaystyle\frac{x - 85}{11} = 1.282\\\\x = 99.1$

Thus, 99.1 is the 90th percentile of these scores.

5 0

3 years ago

A racing car used 255 litres of fuel to complete a 340km race.on average,how many litres of fuel did the car use every 100km?

KIM [24]

X=(255÷340)×100
x=0.75×100
x=75

5 0

2 years ago

The sum of two sisters ages is 38. One is 10 years older than the other. How old is the oldest sister?

Viefleur [7K]

Answer:24 .................

4 0

2 years ago

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Help me ASAP please Solve for x: 2/5 (x-4) = 2x. -8 -1/2 1 -1

kicyunya [14]

Answer: X= -1

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the solution to log (9x)-log2^3= 3?

olga_2 [115]

For this case we have that by definition of properties logarithm is met:

$log_ {b} (x) -log_ {b} (y) = log_ {b} (\frac {x} {y})$

So, rewriting the expression we have:

$log (\frac {9x} {2 ^ 3}) = 3\\log (\frac {9x} {8}) = 3$

By definition of logarithm we have to:

$log_ {b} (x) = y$ is equivalent to $b ^ y = x$

So:

$10 ^ 3 = \frac {9x} {8}\\9x = 8 * 10 ^ 3\\9x = 8 * 1000\\9x = 8000\\x = \frac {8000} {9}$

ANswer:

$x = \frac {8000} {9}$

3 0

3 years ago

Read 2 more answers