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3 years ago

A sweatshirt with a regular price of $34 is first discounted by 20% and then by an additional 10%. What is the final sale price?

1 answer:

6 0

Price of the sweatshirt = $34

First discount = 20% x $34 = 0.1 x 34 = $6.80

Price after discount = $34 - $3.40 = $27.20

Additional discount = 10% x $27.20 = $2.72

Price after additional discount = $27.20 - $2.72 = $24.48

Answer: FInal sale price = $24.48

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According to the U.S. Department of Agriculture, the average American consumed 54.3 pounds (ap- proximately seven gallons) of sa

sladkih [1.3K]

Answer:

a) 0.11%

b) 55.99%

c) 0.25%

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.

Normally distributed with a mean of 54.3 pounds and a standard deviation of 14.5 pounds.

This means that $\mu = 54.3, \sigma = 14.5$

1. What percentage of Americans' annual salad and cooking oil consumption is less than 10 pounds?

The proportion is the pvalue of Z when X = 10. So

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

$Z = \frac{10 - 54.3}{14.5}$

$Z = -3.06$

$Z = -3.06$ has a pvalue of 0.0011

0.0011*100% = 0.11%.

2. What percentage of Americans' annual salad and cooking oil consumption is between 35 and 60?

The proportion is the value of Z when X = 60 subtracted by the pvalue of Z when X = 35.

X = 60

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

$Z = \frac{60 - 54.3}{14.5}$

$Z = 0.39$

$Z = 0.39$ has a pvalue of 0.6517

X = 35

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

$Z = \frac{35 - 54.3}{14.5}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.6517 - 0.0918 = 0.5599

0.5599*100% = 55.99%

3. What percentage of Americans' annual salad and cooking oil consumption is more than 95 pounds?

The proportion is 1 subtracted by the pvalue of Z when X = 95.

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

$Z = \frac{95 - 54.3}{14.5}$

$Z = 2.81$

$Z = 2.81$ has a pvalue of 0.9975

1 - 0.9975 = 0.0025

0.0025*100% = 0.25%

8 0

3 years ago

On a scale drawing, 9 inches<br> represents 11 miles. How many<br> inches represent 55 miles?

Elodia [21]

Answer: you will get 45

Step-by-step explanation:

If you do 9x5=45 and 11x5=55

So the answer would be 45

6 0

2 years ago

To control pollination, pollen-producing flowers are often removed from the top of corn in a process called detasseling. The hou

Shkiper50 [21]

i'm a vegan

h h h h h h h h hh h h h h

3 0

3 years ago

Determine if the equations are parallel perpendicular or neither 10x-2y=16 and x+5y=-20

Inessa [10]

Answer:

perpendicular lines

Step-by-step explanation:

First, put both equations into slope-intercept form.

Lets start with 10x - 2y = 16

Remember that the slope intercept formula is y = mx + b

So, we must get y alone on one side.

First, subtract 10x from both sides

10x - 2y = 16

-2y = -10x + 16

Now, divide both sides by negative 2

y = 5x - 8

Now for our second equation.

First we must subtract x from both sides

x + 5y = -20

5y = -x - 20

Now, divide both sides by 5

y = -1/5x - 4

Now, both of our equations are in slope-intercept form

Here's how to determine if two equations are parallel or perpendicular

<em>Remember that the m in y = mx + b is our slope</em>

Parallel = same slope

Perpendicular = negative reciprocal slope

(ex: take the number 6 take the number -3

negative reciprocal = -1/6 negative reciprocal = 1/3)

If we look at the slopes in both of our equations, we see that there is a negative reciprocal slope (the slopes are 5 and -1/5)

So, these two lines are perpendicular. :)

3 0

3 years ago

Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of si

vlada-n [284]

Answer:

$ 74.80

Step-by-step explanation:

The subtotal cost of the meal was $91.22 including tax.

The 18% tip is added for six or more.

The tip added should reduce the meal subtotal by 18 %

Reduce $91.22 by 18% to get ;

82/100 * 91.22 = $ 74.80

7 0

3 years ago