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ANTONII [103]
3 years ago
7

Write the repeating decimal as a fraction. -0.356 with 2 trailing repeating decimals plz help ill give branliest

Mathematics
1 answer:
Dafna11 [192]3 years ago
5 0

Answer:

Fraction: 89/250

Percentage:35.6%

Step-by-step explanation:

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Below are three different hypothesis tests about population proportions. For each test, use StatKey and the information given to
Ilia_Sergeevich [38]

Answer:

1a) p-hat=0.38

1b) P=0.08

1c) The null hypothesis is not rejected

2a) p-hat=0.64

2b) P=0.0027

2c) The null hypothesis is rejected

3a) p-hat=0.55

3b) P=0.153

3c) The null hypothesis is not rejected

Step-by-step explanation:

(1) H0: p = 0.3 vs Ha: p ≠ 0.3. In their survey, they had a count of 38 using a sample size n=100.

1a) The p-hat is p-hat=38/100=0.38.

1b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.3*0.7}{100}}=0.046

The sample size is n=100.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.38-0.3}{0.046}=\frac{0.08}{0.046}= 1.74

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.74 is P=0.08.

1c) The null hypothesis is not rejected.

(2) H0: p = 0.7 vs Ha: p ≠ 0.7. In their survey, they had a count of 320 using a sample size n=500.

2a) The p-hat is p-hat=320/500=0.64.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.7*0.3}{500}}=0.02

The sample size is n=500.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.64-0.7}{0.02}=\frac{-0.06}{0.02}=-3

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=3 is P=0.0027.

2c) The null hypothesis is rejected.

(3) H0: p = 0.6 vs Ha: p < 0.6. In their survey, they had a count of 110 using a sample size n=200.

2a) The p-hat is p-hat=110/200=0.55.

2b) The standard deviation is

\sigma=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.6*0.4}{200}}=0.035

The sample size is n=200.

The z-value is:

z=\frac{\hat{p}-p}{\sigma}=\frac{0.55-0.6}{0.035}=\frac{-0.05}{0.035}=-1.43

As it is a two-sided test, the p-value considers both tails of the distribution.

The p-value for this |z|=1.43 is P=0.153.

2c) The null hypothesis is not rejected.

8 0
3 years ago
B. The sum of three numbers is 51. The second number is three more than the first number, and the third number is
Svetach [21]

Answer:

12, 15, 24

Step-by-step explanation:

Let 1st # = x

Let 2nd # = x+3

Let 3rd # = 2x

Your equation is: x + (x+3) + 2x = 51

Add up all the x: x + x +3 +2x =51

Subtract 3 from both sides: 4x + 3 - 3 = 51 - 3

Divide 4 from both sides: 4x / 4 = 48 / 4

Your 1st number is x = 12

For the 2nd # it is 3 more than x so 12 + 3 = 15

For the 3rd # it is 2 times x so 2(12) = 24

Check your answers by adding up the numbers you solved: 12 + 15 +24 = 51

Does it equal to 51 as stated in the question? Yes, answers check out.

7 0
2 years ago
The graph shows the relationship between the cost of making cardboard boxes and the number of boxes made , what rate does the po
Digiron [165]
The Answer is A because 7 is in the $ side and 35 in the boxes.

$7 / 35 boxes.
5 0
3 years ago
Help now plssssssssssssss
Ivenika [448]
Let me see the bubble chart
5 0
2 years ago
Why x+ (y+z)= (x+y)+z
arlik [135]

Answer:

its commutative property. you just switch the letters and they will still have the same value

Step-by-step explanation:

3 0
2 years ago
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