Ira wants to buy a skateboard. She paid $120 including the sales tax of 7%.

Suppose that the distribution of IQ's of North Catalina State University's students can be approximated by a normal model with m

konstantin123 [22]

Answer:

The required probability is 0.6517

Step-by-step explanation:

Consider the provided information.

North Catalina State University's students can be approximated by a normal model with mean 130 and standard deviation 8 points.

μ₁ = 130 and σ₁ = 8

Chapel Mountain University's students can be approximated by a normal model with mean 120 and standard deviation 10 points.

μ₂ = 120 and σ₂ = 10

As both schools have IQ scores which is normally distributed, distribution of this difference will also be normal with a mean of μ₁-μ₂ and standard deviation will be $\sqrt{\sigma_1^2+\sigma_2^2}$

Therefore,

μ = 130-120=10

$\sigma = \sqrt{8^2+10^2}=12.806$

Now determine the probability of North Catalina State University student's IQ is at least 5 points higher than the Chapel Mountain University student's IQ:

$z=\frac{\bar x-\mu}{\sigma}$

$z=\frac{5-10}{12.806}\approx-0.39$

Now by using the z table we find the z- score of -0.39 is 0.6517.

Hence, the required probability is 0.6517

6 0

3 years ago

An object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. What is

AnnyKZ [126]

Answer:

800 pounds.

Step-by-step explanation:

We have been given that an object that weighs 24 pounds on Mercury weighs approximately 80 pounds on Earth. A rock weighs 240 pounds on Mercury. We are asked to find the weight of rock on Earth.

We will use proportions to solve our given problem as proportions state that the ratio between two proportional quantities is equal.

$\frac{\text{Weight on Earth}}{\text{Weight on Mercury}}=\frac{80}{24}$

Upon substituting our given value, we will get:

$\frac{\text{Weight on Earth}}{240}=\frac{80}{24}$

$\frac{\text{Weight on Earth}}{240}\cdot 240=\frac{80}{24}\cdot 240$

$\text{Weight on Earth}}=\frac{80}{1}\cdot 10$

$\text{Weight on Earth}=800$

Therefore, the weight of rock on Earth would be approximately 800 pounds.

4 0

3 years ago

Write down the value of 12^0

Georgia [21]

Answer:

12^0=1

Step-by-step explanation:

anything to the power of 0 is equal to 1

4 0

2 years ago

Someone remind me of what the Pythagorean theorem is (Geometry)

Ugo [173]

Answer:b

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

A farm grew 19.8 tons of wheat in 2013. The farm's wheat output increased by 9.8% from 2013 to 2014 and by 5.1% from 2014 to 201

7nadin3 [17]

Answer: Choice D

Explanation:

The increase of 9.8% rounds to 10% when rounding to the nearest ten

An increase of 10% would use the multiplier 1.1

Think of it like saying 1 + 0.10 = 100% + 10%

Similarly, the 5.1% rounds to 5% and an increase of this amount will use the multiplier 1.05

So if we started with 20 items, then 20(1.1)(1.05) is the expression that estimates an increase of 10% followed by an increase of 5%. The order doesn't matter (so you could increase by 5% first, then 10% later).

3 0

3 years ago