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3 years ago

Who wants to help I really really need it ❤️

Mathematics

2 answers:

yarga [219]3 years ago

6 0

Answer:

4^8

Step-by-step explanation:

4^5 * 4^3

We know that a^b* a^c = a^(b+c)

4^(5+3)

4^8

sasho [114]3 years ago

5 0

It would be 8 to the 8th power

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The manager of Petco, a nationwide chain of pet supply stores, wants to study characteristics of the customers, particularly the

shutvik [7]

Answer:

The 95% confidence interval would be given by (19.141;23.538)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=21.34$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=9.22 represent the sample standard deviation

n=70 represent the sample size

2) Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=70-1=69$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,69)".And we see that $t_{\alpha/2}=1.994$

Now we have everything in order to replace into formula (1):

$21.74-1.994\frac{9.22}{\sqrt{70}}=19.141$

$21.74+1.994\frac{9.22}{\sqrt{70}}=23.538$

So on this case the 95% confidence interval would be given by (19.141;23.538)

3 0

3 years ago

If a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month, wha

Rina8888 [55]

Answer:

A. $7.17

Step-by-step explanation:

We have been given that a mechanic uses his credit card to pay for a compressor that costs $477.95 and does not pay on it until the second month.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nT}$ where,

A = Final amount after T years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Periods of compounding,

T = Time in years.

Let us multiply our given rate by 12 to get APR and convert it in decimal form.

$APR=12\times 1.5\%$

$APR=18\%$

$18\%=\frac{18}{100}=0.18$

Since 1 year equals 12 months, so 1 month will be 1/12 year.

Upon substituting our given values in above formula we will get,

$A=477.95(1+\frac{0.18}{12})^{12\times\frac{1}{12}}$

$A=477.95(1+0.015)^{1}$

$A=477.95(1.015)$

$A=485.11925$

Now let us subtract principal amount from the final amount to get the monthly interest charge at the end of 1st month.

$\text{The monthly interest charge be at the end of the first month}=485.11925-477.95$

$\text{The monthly interest charge be at the end of the first month}=7.16925\approx 7.17$

Therefore, the monthly interest charge be at the end of the first month will be $7.17 and option A is the correct choice.

4 0

3 years ago

Ellen made pudding for dessert. She collected data on the temperature of the pudding as she was cooking, as graphed below. What

ddd [48]

Answer:

B is your answer. Hope this helps!

3 0

3 years ago

Read 2 more answers

-5 1/2 + 6 3/4 + (-4 1/4) =

Sergeeva-Olga [200]

Answer:

-3

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Your grades on three exams are 80, 93, and 91. What grade do you need on the next exam to have an average of 90 on the four exam

Pani-rosa [81]

<u>Answer:</u>

<u>Step-by-step explanation:</u>

Let's assume that the marks needed in the next exam is $x$ . Then if the average becomes 90,

$\frac{80 + 93 + 91 + x}{4}= 90$

Now we can simply solve for $x$ :

⇒ $\frac{264 + x}{4}= 90$

⇒ $264 + x = 360$ [Multiplying both sides by 4]

⇒ $x = 360 - 264$ [Subtracting 264 from both sides]

⇒ $x = \bf96$

Therefore, you need to score 96 in your next exam to have an average of 90 on the four exams.

8 0

2 years ago