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Levart [38]
3 years ago
12

Twenty percent of a number is equal to 6 less than one half of the same number. What is the number?

Mathematics
1 answer:
Aliun [14]3 years ago
7 0
The number is 20. Work in picture if you want it or want justification of steps:)

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HELPPPPP IF U HAVE DONE THIS ASSIGNMENT B4
lianna [129]

Answer:

hope this will help you......

7 0
3 years ago
Read 2 more answers
Which sequence is arithmetic?
MissTica

Answer:

11, 14, 17, 20

Step-by-step explanation:

An arithmetic sequence has a common difference d between consecutive terms.

Consider 2, 6, 18, 54

6 - 2 = 4, 18 - 6 = 12, 54 - 18 = 36 ← no common difference, not arithmetic

Consider 3, 6, 12, 24

6 - 3 = 3, 12 - 6 = 6, 24 - 12 = 12 ← no common difference, not arithmetic

Consider 11, 14, 17, 20

14 - 11 = 3, 17 - 14 = 3, 20 - 17 = 3 ← common difference of 3, so arithmetic

Consider 7, 11, 13, 18

11 - 7 = 4, 13 - 11 = 2, 18 - 13 = 5 ← no common difference, not arithmetic

The arithmetic sequence is 11, 14, 17, 20

3 0
3 years ago
The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1
AnnZ [28]

Answer:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

\hat p=\frac{155}{200}=0.775 estimated proportion of cell phone owners used text messaging

p_o=0.73 is the value to verify

\alpha=0.1 represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis:p=0.73  

Alternative hypothesis:p \neq 0.73  

The statistic to check this hypothesis is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the data given we got:

z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433  

Now we can find the p value. Since we have a bilateral test the p value would be:  

p_v =2*P(z>1.433)=0.152  

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

6 0
3 years ago
Find the value of the power <br> 3⁴​
Jet001 [13]

Step-by-step explanation:

3⁴ can also be written as

3 × 3 × 3 × 3 = 81

hope this answer helps you dear!

7 0
2 years ago
Read 2 more answers
28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
xxMikexx [17]

Answer:

\frac{5}{6} cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 \frac{1}{2} cookies --- \frac{1}{2} cup plain yogurt

\frac{3}{2} cookies --- \frac{1}{2} cup plain yogurt

2\frac{1}{2} cookies --- ? cup plain yogurt

\frac{5}{2} cookies --- \frac{5}{3} × \frac{1}{2} cup plain yogurt = \frac{5}{6} cups plain yogurt

5 0
2 years ago
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