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Savatey [412]
3 years ago
8

Word problem plz help pt.1​

Mathematics
1 answer:
shusha [124]3 years ago
3 0

equation csn be represented as

money left = 500 - (n-1)×4.65

so we can see in first week money left

= 500 - (1-1)×4.65= 500-0=500

which is true because first week chaya got gift card and does not spend any money.

now lets assume that on week n money left is 327.95

so by equation

500 -(n-1)×4.65 = 327.95

500- 327.95 =( n-1)× 4.65

n -1 = 172.05/4.65=37

n = 37+1 = 38

in 38th week money left would be 327.95

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Test the claim that the mean GPA of night students is larger than 3.1 at the .10 significance level. The null and alternative hy
Alborosie

Answer:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

df = n-1=75-1 =74

The p value is:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is: 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

Step-by-step explanation:

For this case we want to test the claim that mean GPA of night students is larger than 3.1 at the .10 significance level. The claim needs to be on the alternative hypothesis so then we have the following system of hypothesis:

H 0 : μ = 3.1    H 1 : μ > 3.1

And this test is defined a a right tailed test since the symbol for the alternative hypothesis H1 is >.

We have the following info given:

\bar X = 3.13 , s =0.03 , n =75

The statistic to check the hypothesis is given by:

t = \frac{\bar X -\mu}{\frac{s}{\sqrt{n}}}

Replacing the info given we got:

t = \frac{3.13-3.1}{\frac{0.03}{\sqrt{75}}}= 8.66

The degrees of freedom are given by:

df = n-1=75-1 =74

The p value since is a right tailed ted is given by:

p_v = P(t_{74} >8.66) =3.65x10^{-13}

The significance level is 0.1 or 10%

And since the p value is very low compared to the significance level we have enough evidence to:

Reject the null hypothesis

6 0
3 years ago
Can someone help me with this please
e-lub [12.9K]

Answer: y=-2x+6

Step-by-step explanation:

m=\frac{6-2}{0-2}=\frac{4}{-2}=-2

So y=2x+b. We can substitute (0, 6) to get:

6 = 2(0)+b

b=6.

Meaning y=-2x+6.

8 0
2 years ago
I don't care about getting the answers but rather a step-by-step explanation for this problem: A simple interest, 8-month loan o
alisha [4.7K]

Answer:

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 8 months = 8/12 = 2/3 years

P = $3000

R = 9.3%

Therefore

I = (3000 × 9.3 × 2/3)/100

I = 18600/100

I = $186

The maturity value (in dollars) of this loan would be

3000 + 186 = $3186

7 0
3 years ago
HELP ME!! I WILL GIVE BRAINLIEST!!! Express your answer in SCIENTIFIC NOTATION. 9.3 × 10⁷ - 3.4 × 10⁶ = __________ plz help!!
DanielleElmas [232]

Answer:

9.3 × 10⁷ - 3.4 × 10⁶ = 89 600 000

Which is 8.96*10^7 in scientific notation

Hope this helps you

4 0
3 years ago
HELP!!!<br> ANSWER FAST. PLEASEEE
kari74 [83]

Answer:

The answer would be $2.

Have a nice day.

4 0
3 years ago
Read 2 more answers
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