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3 years ago

The value of x is .... ?

Mathematics

1 answer:

alexira [117]3 years ago

4 0

Answer: 96

Step-by-step explanation:

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The proportion of the total area under a normal curve between two z-scores corresponds to the ______ of that range of scores.

omeli [17]

Answer:

For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

5 0

3 years ago

A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs. How many BTUs does 1 gallon of b

Tamiku [17]

Answer: 125,000 BTUs

Step-by-step explanation:

Hi, to answer this question we have to apply proportions:

A fuel tank has a volume of 36 gallons. When filled with biodiesel, it provides 4,500,000 BTUs

So, the proportion is:

36 gallons / 4,500,000 BTUs

For 1 gallon

1 gallon / x BTUs

36/4,500,000 = 1/x

Solving for x:

x = 1 / (36/4,500,000)

x = 125,000 BTUs

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

What is the surface area of the triangular prism?

Fofino [41]

Answer:

116.33

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

In Pennsylvania the average IQ score is 101.5 The variable is normally distributed and the population standard deviation is know

elena-14-01-66 [18.8K]

Answer:

P-value = 0.0368

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 101.5

Sample mean, $\bar{x}$ = 106.4

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 15

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 101.5\\H_A: \mu> 101.5$

We use One-tailed(right) z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{106.4 - 101.5}{\frac{15}{\sqrt{30}} } = 1.789$

Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} > z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.

P-value can be calculated with the standard normal table.

P-value = 0.0368

P-value is lower than the significance level.

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3 years ago

A school choir needs to make T-shirts for its 75 members and has set aside some money in their budget to pay for them. The membe

Katyanochek1 [597]

50 + 3(B) + 50 + 3(R) + 50 + 3(Y) would be the equation.

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3 years ago