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yawa3891 [41]
2 years ago
5

Seven more than the product of a number and three is equal to four

Mathematics
1 answer:
vovangra [49]2 years ago
6 0

Answer:

The Product is negative three (-3)

WHILE

The number is negative one (-1)

Step-by-step explanation:

Since seven more than the product gives 4.

This means 7 + product = 4

By subtracting 7 from both sides we get product as -3.

And since the product of the number and 3 is equal the product

This means number X 3 = -3

By dividing three from both sides you get -1.

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Eric bought a canoe for $400. The sales tax was 5.2%. What was his total cost?
N76 [4]

Answer:

420.8

Step-by-step explanation:

Tax = SalesAmount * TaxPercent

Tax = 400*0.052

Tax = 20.8 dollars

Total cost is 400+20.8

420.8

8 0
2 years ago
Read 2 more answers
In a recent study, researchers found that 31 out of 150 boys aged 7-13 were overweight or obese. On the basis of this study can
AURORKA [14]

Answer:

1) Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=21 represent the boys overweight

\hat p=\frac{31}{150}=0.207 estimated proportion of boy overweigth

p_o=0.15 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

1) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the true proportion of boys obese is higher than 0.15.:  

Null hypothesis:p \leq 0.15  

Alternative hypothesis:p > 0.15  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

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

2) The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Decision rule

For this case we need a value on the normal standard distribution who accumulates 0.05 of the area on the right tail and on this case this value is:

z_{crit}= 1.64

And the rejection zone would be z>1.64

4) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.207 -0.15}{\sqrt{\frac{0.15(1-0.15)}{150}}}=1.955  

5) Statistical decision  

For this case our calculated value is on the rejection zone, so we have enough evidence to reject the null hypothesis at 5% of significance and we can conclude that the true proportion is higher than 0.15

6 0
2 years ago
Please help and answer why
Brilliant_brown [7]

2 sticks of butter

5-1=4

4/2=2

She already makes 1 cake so we can subtract 5-1

2 cakes can be made per stick of butter so we do 4/2 which is 2

8 0
3 years ago
Use mental math to solve for the missing number:
Vaselesa [24]

Answer:

39

Step-by-step explanation:

Let the number be x.

The quotient of x and 3 is 13.

x/3 = 13

Multiply both sides by 3.

x = 13 × 3

x = 39

8 0
2 years ago
Read 2 more answers
5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied by 2.​
elena-14-01-66 [18.8K]

Step-by-step explanation:

<h3>One fourth Part of Product of 12 and 3 </h3>

<h3>: 36 = 1/4 = 9</h3><h3>5 subtract from this = 9 - 5 = 4</h3>

<h3>Multiply by 2 = 2×4 = 8</h3>
3 0
2 years ago
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