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3 years ago

I need help understanding this please

Mathematics

2 answers:

Roman55 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

324 square centimeters can easily be broken down into the multiplication expression 18 x 18.

since Alma's lace border will follow that area, at 98 cents for every 2 centimeters, we can do as such:

$18/2=9\\ [there are 9 sets of two centimeters on each side, meaning that our equation would look something like this:]\\ 9(0.98)^2\\ [which would equal something around] 8.6436\\\\ [that] 8.6436\\ [is the total price of the area the lace takes.]\\$

This doesn't necessarily answer your question, but i hope i did a good job explaining! if im wrong, please, correct me!

valentinak56 [21]3 years ago

6 0

Answer:

Alma needs $35.28 to purchase the lace for her pillow.

Step-by-step explanation:

If it is a square, the length and the width would be the same. You have to take the square root of the area, so the square root of 324 is 18. Now, we know that the length is 18 cm and the width is also 18 cm. If she's selling every 2 centimeters for 98 cents, you have to find the total amount of centimeters the pillow has, so 18*4 (the 4 comes from the number of sides on the pillow)=72.

Now divide that answer by the 2 lace centimeters she will get. (72/2=36 cm).

Now multiply that by 98 cents, the cost. (36*0.98=35.28).

So Alma needs $35.28 to purchase the lace for her pillow.

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Twice yesterday's temperature, t. If t is yesterday’s temperature, twice that temperature equals 2t.

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2617 and standard deviation

Eduardwww [97]

Answer:

a) N(2617, 586)

b) 0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c) 0.4013 = 40.13% of the customers consume over 2764 calories

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Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

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$\mu = 2617, \sigma = 586$

a. What is the distribution of X?

Here we first place the mean, then the standard deviation.

N(2617, 586)

b. Find the probability that the customer consumes less than 2409 calories.

This is the pvalue of Z when X = 2409. So

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

$Z = \frac{2409 - 2617}{586}$

$Z = -0.355$

$Z = -0.355$ has a pvalue of 0.3613

0.3613 = 36.13% probability that the customer consumes less than 2409 calories.

c. What proportion of the customers consume over 2764 calories?

This is 1 subtracted by the pvalue of Z when X = 2764. So

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

$Z = \frac{2764 - 2617}{586}$

$Z = 0.25$

$Z = 0.25$ has a pvalue of 0.5987

1 - 0.5987 = 0.4013

0.4013 = 40.13% of the customers consume over 2764 calories

d. The Piggy award will given out to the 1% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award?

Top 1%, so the 100-1 = 99th percentile.

The 99th percentile is the value of X when Z has a pvalue of 0.99. So it is X when Z = 2.327. So

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

$2.327 = \frac{X - 2617}{586}$

$X - 2617 = 2.327*586$

$X = 3980.6$

Rounding to the nearest calorie, 3981 calories.

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