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Anna35 [415]
3 years ago
7

Five less than half a number is thirteen. What is the number?

Mathematics
1 answer:
Bad White [126]3 years ago
6 0
-5+0.5x= 13

Add 5 to both sides
0.5x= 18

Multiply both sides by 2
x= 36

Final answer: x=36
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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
jekas [21]

Answer:

The test statistic is z = 1.865.

Step-by-step explanation:

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

H0: p = 0.11

This means that 0.11 is tested at the null hypothesis, and so:

\mu = 0.11

\sigma = \sqrt{0.11*0.89} = 0.3129

The engineer weighs 94 bags and finds that 16 of them are over-filled.

This means that:

n = 94, X = \frac{16}{94} = 0.1702

What is the test statistic?

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.1702 - 0.11}{\frac{0.3129}{\sqrt{94}}}

z = 1.865

The test statistic is z = 1.865.

6 0
3 years ago
Paul bought a 15-year treasury bond for a face amount of $600. The 2.5% interest will be compounded quarterly. What will the fut
Alika [10]
First, we convert the interest such that it is compounded annually. The formula would be:

ieff = (1 + i/m)^m - 1
where m = 4, since there are 4 quarters in a year
ieff = (1 + 0.025/4)^4 - 1
ieff = 0.0252

Then we use this for this equation:
F = P(1 + i)^n, where F is the future worth, P is the present worth and n is the number of years
F = $600(1 + 0.0252)^15
F = $871.53
4 0
4 years ago
Read 2 more answers
Can someone help me
kakasveta [241]

Answer:

a. 2*-2*3=-12

b. -2*3*5 = -30

c. (-2)^2+2*5= 14

d. 2*-2+3*3-5*5= -20

e. -2(3-5) = 4

f. 3*5-(-2)*5+(-2)*3 = 19

if it helped then plz mark me as brainliest

8 0
3 years ago
Select all the ordered pairs that satisfy the function y = 3x + 5. A. (2, –1) A. , (2, –1) B. ( –3, –4) B. , ( –3, –4) C. ( 4, 1
Ne4ueva [31]

Answer:

B. ( –3, –4)

C. ( 4, 17 )

Step-by-step explanation:

Function: y = 3x + 5

Using method of elimination

A. (2, –1)

x = 2, y = -1

-1 = 3 (2) + 5

-1 ≠ 11

This option is incorrect!

B. ( –3, –4)

x = -3, y = -4

-4 = 3 (-3) + 5

-4 = - 9 + 5

-4 = -4

This option is correct!

C. ( 4, 17 )

x = 4, y = 17

17 = 3 (4) + 5

17 = 12 + 5

17 = 17

This option is correct!

D. ( 3, 8 )

x = 3, y = 8

8 = 3 (3) + 5

8 = 9 + 5

8 = 14

This option is incorrect!

5 0
3 years ago
Pentagon A'B'C'D' is the image of pentagon ABCDE under a dilation,
viva [34]

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

Compare the ratio of corresponding sides, image to original.

AB = 6 units and A'B' = 2 units, thus

scale factor = \frac{A'B'}{AB} = \frac{2}{6} = \frac{1}{3}

3 0
3 years ago
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