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mr Goodwill [35]
2 years ago
10

Each week Jesalea earns $12 dollars doing yard work. She saves 40% the money she makes,

Mathematics
2 answers:
NARA [144]2 years ago
8 0

Answer:

1) Each week Jesalea saves $4.80

2) She gets to spend $7.20 each week

Step-by-step explanation:

Each week she gets $12 however to calculate the amount she saves convert the percentage into a decimal. 40% can be turned into a decimal by dividing the percentage by 100 and removing the decimal point (40%/100=<u>0.40</u>). Then multiply $12*0.40 to get $4.80 as the saving amount for one week. To know what she spends subtract $12-$4.80 to get $7.20 that she spends.

ratelena [41]2 years ago
7 0

Answer:

28

Step-by-step explanation:

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the numbers.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Next, identify the key words. These include add, subtract, remove, spend, earn, less, more, times, twice, half, etc.

Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse . How much was the blouse?

Finally, convert everything into an equation.

42

=

2

⋅

blouse

−

14

Now, solve the equation.

56

=

2

⋅

b

l

o

u

s

e

b

l

o

u

s

e

=

28

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A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a populat
eimsori [14]

Answer:

t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2      

p_v =P(t_{15}>2)=0.0320  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.  

Step-by-step explanation:

1) Data given and notation      

\bar X=25 represent the sample mean      

s=2 represent the standard deviation for the sample      

n=16 sample size      

\mu_o =24 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

Confidence =0.95 or 95%

\alpha=0.05

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is higher than 24, the system of hypothesis would be:      

Null hypothesis:\mu \leq 24      

Alternative hypothesis:\mu > 24      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic      

We can replace in formula (1) the info given like this:      

t=\frac{25-24}{\frac{2}{\sqrt{16}}}=2      

Calculate the P-value      

First we need to calculate the degrees of freedom given by:  

df=n-1=16-1=15  

Since is a one-side upper test the p value would be:      

p_v =P(t_{15}>2)=0.0320  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the true mean is significant higher than 24 years.      

3 0
3 years ago
What is the inverse of the function f(x) = x +3?
KatRina [158]
Next time please add answer choices 

f(x) = y = x+3, Consider y=x+3. You just switch x and y:
 so y= x+3, becomes x=y+3. Once done, you isolate y:
x=y+3 or y = x-3. This this the inverse function of f(x)
5 0
3 years ago
What is 8,792 as a fraction?
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Hope this helps.

6 0
3 years ago
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3. a=-9
4. x=-39 I believe
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Lady bird [3.3K]
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