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3 years ago

An 8ft length of 4 inch wide crown molding costs $14. How much will it cost to buy 32 ft of crown molding?

Mathematics

1 answer:

miskamm [114]3 years ago

6 0

It will cost $56 to buy 32 ft of crown molding.

Explanation

Suppose, the cost of 32 ft of crown molding is $x$ dollar.

Given that, 8 ft length crown molding costs $14.

According to the ratio of "length" of crown molding to the "cost", the equation will be.......

$\frac{8}{14}= \frac{32}{x}\\ \\ 8x=14*32=448\\ \\ x=\frac{448}{8}=56$

So, it will cost $56 to buy 32 ft of crown molding.

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In the given diagram, find the values of x, y, and z.

anyanavicka [17]

Answer:

B) x=64, y=21, z=64

Step-by-step explanation:

X=180-116=64

Y cannot equal 115, and one angle is already 95, and that would put it over 180. The only remaining choice for y=21

z=180-95-21=64

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3 years ago

5z + 3n -z2 ; n = 4.5 , z = 6 PLZ answer this

zavuch27 [327]

Answer:

5(6)+3(4.5)- 6(2)= 31.5

Step-by-step explanation:

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3 years ago

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weight

a_sh-v [17]

Answer:

a) The difference is of 3.222 lbs.

b) 1.64 standard deviations.

c) Z = 1.64

d) Not significant, as the z-score of 1.64 is between -2 and 2.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of all of the weights is x=2.088 lb, and the standard deviation of the weights is s=1.968 lb.

This means that $\mu = 2.088, \sigma = 1.968$

a. What is the difference between the weight of 5.31 lb and the mean of the weights?

This is $X - \mu = 5.31 - 2.088 = 3.222$

The difference is of 3.222 lbs.

b. How many standard deviations is that [the difference found in part (a)]?

This is the z-score. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5.31 - 2.088}{1.968}$

$Z = 1.64$

1.64 standard deviations.

c. Convert the weight of 5.31 lb to a z score.

Z = 1.64, as found above.

d. If we consider weights that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 lb significant?

Not significant, as the z-score of 1.64 is between -2 and 2.

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3 years ago

What number does these numbers share 400,300,255?

Crank

Answer:

the are all in the 100s

Step-by-step explanation:

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3 years ago

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Al saves pennines. He agreed to give 6/13 of his pennines to Bev if she would give 6/13 of what she got from Al to Carl and if C

Anuta_ua [19.1K]

Answer:

24,167 pennies

Step-by-step explanation:

Let's see what happens if we say Al had 1000 pennies.

Bev would get 6/13 of 1000 which is 462 pennies. ((6/13)*1000)

Continuing like this Carl would get (6/13)*462 = 213

Dani would get 213(6/13)=98

Now, another way of writing this is 1000*(6/13)*(6/13)*(6/13). hopefully that makes sense, if not let me know.

Anyway, what is another way of writing this? If it isn't clear how else can you write 3*3*3*3? Exponents is the answer. 3*3*3*3=3^4 and (6/13)*(6/13)*(6/13)= (6/13)^3, so you can write the whole equation as 1000(6/13)^3=98

Now, using the information given in the question we know how much is gotten by Dani as well as (6/13)^3, but we don't know how much we start with. So instead of 1,000 like I showed lets use a variable x.

x*(6/13)^3 = 2376

Now you can use algebra to solve for x

x*(6/13)^3 = 2376 step one let's just figure out what (6/13)^3 is.

x*(216/2197) = 2376 Now here you can either divide by 216/2197 or multiply by 2197 then divide by 216, it's the same thing.

x = 24167

You can double check too with 24167*(6/13)^3

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3 years ago