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topjm [15]
2 years ago
15

Jane buys \dfrac73 \text { yard} 3 7 ​ yardstart fraction, 7, divided by, 3, end fraction, start text, space, y, a, r, d, end te

xt of fabric to make a cat bed. She starts the project by cutting 4 \text { feet}4 feet4, start text, space, f, e, e, t, end text of fabric off the end. How many feet long is the remaining piece of fabric?
Mathematics
1 answer:
Vadim26 [7]2 years ago
6 0

The correct question is:

Jane buys 7/3 yards of fabric to make a cat bed. She starts the project by cutting 4 feet of fabric off the end. How many feet long is the remaining piece of fabric?

Answer:

There are 3 feet remaining.

Step-by-step explanation:

Jane cuts 4 feet from 7/3 yards, to know how many feet long yard is remaining, first we need to know how many feet make a yard, convert 7/3 yards to feet, and find the difference between the feet cut and the total feet available.

3 feet = 1 yard

x feet = 7/3 yards

3 × 7/3 = x × 1

x = 7

Therefore, 7 feet is 7/3 yards.

Now, she cuts 4 feet, do we have

(7 - 4 = 3) feet remaining.

Therefore, there are 3 feet remaining.

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A gas stove that normally sells for $749 is on sale at a 30% discount. What is the sale price of the gas stove
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The answer is 224.7 you got to turn 30% into decimal which is 0.30 
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6 0
2 years ago
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The equation y=−0.0088x2+0.79x+15 models the speed x (in miles per hour) and average gas mileage y (in miles per gallon) for a v
rewona [7]
Answer: 30.72 miles per gallon

To find <span>best approximate for the average gas mileage at a speed of 60 miles per hour you need to replace the variable x with 60. The calculation would be:

</span><span> y=−0.0088x2+0.79x+15
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2 years ago
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Grant also buys bottled water and juice pouches for the picnic. There are
valentinak56 [21]

Answer:

60 of each

Step-by-step explanation:

water          juice

12                10

24               20

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48               40

60               50

                  60

3 0
1 year ago
Sociologists want to test whether the number of homeless people in a particular urban area is increasing. In 2010, the average n
Kobotan [32]

Answer:

The test statistic value is 15.3.

Step-by-step explanation:

The hypothesis for this test is:

<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.

<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.

Given:

\bar x=45.3\\\sigma=6.2\\n=1000

As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.

The test statistic is:

z=\frac{\bar x-\mu}{\sigma/\sqrt{n}}=\frac{45.3-42.3}{6.2/\sqrt{1000}}=15.3

Thus, the test statistic value is 15.3.

7 0
1 year ago
(b) A department store has 7,000 charge accounts. The comptroller takes a random sample of 36 of
galben [10]

Answer:

a.0.8664

b. 0.23753

c. 0.15866

Step-by-step explanation:

The comptroller takes a random sample of 36 of the account balances and calculates the standard deviation to be N42.00. If the actual mean (1) of the account balances is N175.00, what is the probability that the sample mean would be between

a. N164.50 and N185.50?

b. greater than N180.00?

c. less than N168.00?

We solve the above question using z score formula

z = (x-μ)/σ/√n where

x is the raw score,

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σ is the population standard deviation = N42

n is random number of sample = 36

a. Between N164.50 and N185.50?

For x = N 164.50

z = 164.50 - 175/42 /√36

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Probability value from Z-Table:

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z = 185.50 - 175/42 /√36

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Probability value from Z-Table:

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b. greater than N180.00?

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P(x<180) = 0.76247

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c. less than N168.00?

x < N168.

z = 168 - 175/42 /√36

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z = -7/7

z = -1

Probability value from Z-Table:

P(x<168) = 0.15866

4 0
1 year ago
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