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Blizzard [7]
3 years ago
13

8x - 3(5 + 9x what's the simplified algebraic expression p​

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

=8x + (-3) (5) + (-3) (9x)

=8x + -15 + -27x

=8x + -15 + -27x

(8x + -27x) + (-15)

19x +-15

19x -15

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Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The
sattari [20]

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as  proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the  proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value  ± 1.28.

We have alpha equal to 0.2  for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) \sqrt{\frac{pq}{n} }

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 \sqrt{\frac{0.8*0.2}{200} }

0.8 ± 0.03620

0.8362, 0.7638

As the calculated value of z lies within the critical region  we reject the null hypothesis.

8 0
2 years ago
The soot produced by a garbage incinerator spreads out in a circular pattern. The depth, H(r), in millimeters, of the soot depos
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Answer:

Step-by-step explanation:

Check attachment for solution

4 0
3 years ago
Daniel uses \large \frac{2}{3}cup of orange juice for every \large \frac{1}{4}cup of carrot juice to make his drink. Enter the n
USPshnik [31]

Answer:

\dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used

Step-by-step explanation:

Daniel uses the proportions of \dfrac{2}{3} cups of orange juice and \dfrac{1}{4} cups of carrot juice to make a mixed juice.

Now, in the question 1 cup of carrot juice is used. So 4 times of the proportion of the carrot juice is used. Accordingly 4 times of the cups of orange juice will be used.

\dfrac{2}{3}\ \text{cups of orange juice}=\dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow 4\times \dfrac{2}{3}\ \text{cups of orange juice}=4\times \dfrac{1}{4}\ \text{cups of carrot juice}\\\Rightarrow \dfrac{8}{3}\ \text{cups of orange juice}=1\ \text{cup of carrot juice}

So for one cup of carrot juice \dfrac{8}{3}\ \text{cups of orange juice} or 2\dfrac{2}{3}\ \text{cups of orange juice} is used.

4 0
2 years ago
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elai
vivado [14]

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

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3 years ago
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