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3 years ago

The price of a trampoline before tax is $300. The salesvtax is 4%

Mathematics

2 answers:

algol133 years ago

7 0

Answer - $312

300 x 1.04 = 312

ollegr [7]3 years ago

6 0

Answer:

The total price is $312 and the sales tax is 12

Step-by-step explanation:

300 x 0.04= 12

300 + 12 = 312

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A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength

irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

Let $\bar X$ = sample mean comprehensive strength

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean comprehensive strength = 5500 psi

$\sigma$ = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P( $\bar X$ > 4985 psi)

P( $\bar X$ > 4985 psi) = P( $\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{4985-5500}{\frac{100}{\sqrt{9} } }$ ) = P(Z > -15.45) = P(Z < 15.45)

= 0.99999

Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.

4 0

4 years ago

If each unit cube has edges of length 1/2 foot what is the volume of the blue outlined prism

postnew [5]

Answer:

The answer is 2.5

Step-by-step explanation:

each cube has a volume of 0.125 and the cube can hold 20 of them.

0.125 * 20 = 2.5

4 0

4 years ago

Read 2 more answers

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4

vovikov84 [41]

Answer:

Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple. When increasing things proportionally you basically multiply everything by the same number. A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B. Well, what if you made the recipe twice? that would be 20 things from 2 of A and 4 of B. This is the same as changing the recipe to make double. It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples. We want to know how much we changed it by, then that much is how much the total number of muffins changes. So if we doubled apples the muffins would double, but I don't think it's that simple.

Started at 3/4 cup of chopped apple and increased to 9/8 cups. We want to know what to multiiply by to do this. So we set up a simple algebraic equation.

(3/4)x = 9/8

where x is what we multiply by. Now, to do this you could do one step, divide by 3/4 or you could do it in two steps, multiply both sides by 4 then divide by 3. Or the other way around. Either way you will get the same number.

(3/4)x = 9/8

3x = 9/2

x = 3/2

And you can (and should) double check

(3/4)x = 9/8

(3/4)(3/2) = 9/8

9/8 = 9/8

Yay! If you don't gt fraction multiplication let me know. But the recipie is an increase of 3/2 or 1.5, so there will be 1.5 as many muffins.

12*1.5 = 12(3/2) = 18

4 0

3 years ago

Read 2 more answers