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bonufazy [111]
3 years ago
11

If the mass is 10 the volume is

Mathematics
1 answer:
AysviL [449]3 years ago
4 0
If he mass is 10 then the volume is 100
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(15 points)
Alex777 [14]

Answer:

Dilation by a scale factor of 3 followed by reflection about the y-axis.

Step-by-step explanation:

4 0
4 years ago
Uncle Mark's family drinks 12 quarts of milk every week.
lukranit [14]
D. 12 ÷ 4
since you're converting you have to divide
4 0
3 years ago
If 2x squared minus 12x minus 50 equals 0 what is the product of the two values of x
postnew [5]

Answer:

X=3+√34

X=3-√34

7 0
4 years ago
Mary needs to send out some letters and postcards. She went online at the United States Postal Service webpage and found out tha
MissTica

Answer:6 postcards and 9 letters

Step-by-step explanation:

First we label what we are looking for

Label number of postcard sent as x

Label number of letter sent as y

The we know Mary wrote to 15people, either as postcard or letter, so from this we make an equation

x + y = 15 (1)

The we know the amount Mary used to send all this is $6.15 which is also 615 cents

Then we know sending one postcard is 35cents, and we labeled number of postcards to be x

So total amount used for postcard will be 35x

And we know sending one letter is 45 cents, and we labeled number of letters to be y

So total amount used for letter will be 45y, so adding all this will be equals to the total amount used which is given as $6.15 also 615 cents, so making another equation

35x + 45y = 615 (2)

Solving the two simultaneously equations

x + y = 15 (1)

35x + 45y = 615 (2)

So we make y the subject of formula in (1)

y = 15 - x (3)

So we put (3) in (2)

Anywhere we see y, we put 15-x

35x + 45(15-x) = 615

35x + 675 -45x = 615

35x - 45x = 615 - 675

-10x = -60

divide both sides by -10

x = 6

So therefore, number of postcards is 6

Then we put x = 6 in (3)

y = 15 - x

y = 15 - 6

y = 9

So therefore number of letters is 9

4 0
3 years ago
Clothing sizes are not standardized across brands. Suppose that a large study of women's size 14 jeans revealed that the mean hi
kenny6666 [7]

Using the z-distribution, we have that:

  • The mean hip measurement for the random sample of 15 pairs of women's size 16 jeans is of 44.1 inches.
  • The <u>margin of error</u> is of 0.8 in.
  • The interpretation is: Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

The first step to solve this question, before building the confidence interval, is finding the sample mean, which is the <u>sum of all observations divided by the number of observations</u>. Hence:

\overline{x} = \frac{44.5+43.0+46.6+42.9+43.7+43.9+42.4+43.2+43.1+44.4+46.1+44.7+44.4+43.9+44.7}{15} = 44.1

The margin of error of a z-confidence interval is given by:

M = z\frac{\sigma}{\sqrt{n}}

In which:

  • z is the critical value.
  • \sigma is the population standard deviation.
  • n is the sample size.

We have to find the critical value, which is z with a p-value of \frac{1 + \alpha}{2}, in which \alpha is the confidence level.

In this problem, \alpha = 0.99, thus, z with a p-value of \frac{1 + 0.99}{2} = 0.995, which means that it is z = 2.575.

Then, the margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

M = 2.575\frac{1.2}{\sqrt{15}}

M = 0.8

The <u>margin of error</u> is of 0.8 in.

The interval is:

\overline{x} \pm M

\overline{x} - M = 44.1 - 0.8 = 43.3

\overline{x} + M = 44.1 + 0.8 = 44.9

The interpretation is:

Mallorie is 99% sure that the mean hip measurement of size 16 jeans is between 43.3 in and 44.9 in.

A similar problem is given at brainly.com/question/25300297

6 0
3 years ago
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