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xxTIMURxx [149]

3 years ago

14

Dylan has $20 in a savings account. The interest rate is 5% per year and is not compounded. How much interest will he earn in 1

year?

1 answer:

sergeinik [125]3 years ago

8 0

20x0.5 = 10
He will earn 10 per year

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What percentage of the survey respondents did not like either soccer or volleyball?

Snezhnost [94]

Beats me man not enough information

3 0

3 years ago

A graph Includes the ordered pair (2,4). Write two different rules that would be possible for this graph. Explain how you found

Vanyuwa [196]

We know that
An ordered pair is used to locate a point on a coordinate grid.
The first number in an ordered pair is the x-coordinate, and the second number in an ordered pair is the y-coordinate.

In this problem, the ordered pair is
$(2,4)$
so
the x-coordinate is equal to $2$
the y-coordinate is equal to $4$

therefore

Rule N 1
The y-value is $2$ times the x-value

Rule N 2
The y-value is $2$ greater than the x-value

Both are possible because their solutions include the ordered pair listed

4 0

3 years ago

Read 2 more answers

Consider the following hypothesis test. : : The following results are for two independent samples taken from two populations. Ex

I am Lyosha [343]

Answer:

$z = -1.53$ --- test statistic

$p = 0.1260$ --- p value

Conclusion: Fail to reject the null hypothesis.

Step-by-step explanation:

Given

$n_1 = 80$ $\bar x_1= 104$ $\sigma_1 = 8.4$

$n_2 = 70$ $\bar x_2 = 106$ $\sigma_2 = 7.6$

$H_o: \mu_1 - \mu_2 = 0$ --- Null hypothesis

$H_a: \mu_1 - \mu_2 \ne 0$ ---- Alternate hypothesis

$\alpha = 0.05$

Solving (a): The test statistic

This is calculated as:

$z = \frac{\bar x_1 - \bar x_2}{\sqrt{\frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} }}$

So, we have:

$z = \frac{104 - 106}{\sqrt{\frac{8.4^2}{80} + \frac{7.6^2}{70} }}$

$z = \frac{104 - 106}{\sqrt{\frac{70.56}{80} + \frac{57.76}{70}}}$

$z = \frac{-2}{\sqrt{0.8820 + 0.8251}}$

$z = \frac{-2}{\sqrt{1.7071}}$

$z = \frac{-2}{1.3066}$

$z = -1.53$

Solving (b): The p value

This is calculated as:

$p = 2 * P(Z < z)$

So, we have:

$p = 2 * P(Z < -1.53)$

Look up the z probability in the z score table. So, the expression becomes

$p = 2 * 0.0630$

$p = 0.1260$

Solving (c): With $\alpha = 0.05$ , what is the conclusion based on the p value

We have:

$\alpha = 0.05$

In (b), we have:

$p = 0.1260$

By comparison:

$p > \alpha$

i.e.

$0.1260 > 0.05$

So, we fail to reject the null hypothesis.

4 0

2 years ago

An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t

navik [9.2K]

Answer:

Total <u>480 liters</u> of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

The ice cream shop invent new flavors = 25.

And ice cream shop throw out least popular flavors = 13.

So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

$25-13=12.$

Thus, the remaining flavors = 12.

<em>According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.</em>

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

Then, 1 carton contain = $\frac{1}{2} =0.5\ liter.$

<u><em>Total quantity of ice cream per carton = 0.5 liter</em></u>

<u><em>Total number of cartons = 80.</em></u>

<u><em>Total flavors of ice cream = 12.</em></u>

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

$0.5\times 80\times 12\\\\=480\ liters.$

Therefore, total 480 liters of ice cream is in the cartons.

7 0

2 years ago

What is the sum of the angles of a 37-gon

densk [106]

The answer is 6300 degrees

4 0

3 years ago