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3 years ago

Please I need help with this question.

Mathematics

1 answer:

OlgaM077 [116]3 years ago

8 0

Answer:

It is 28 miles. It is much more simple than you are making it out to be in your head. Draw out the picture with 7 marks on a line. The first 3 marks were traveled Friday. After Friday, there are 4 marks left. On Saturday, 2 of those 4 remaining marks are traveled. On Sunday, the last two marks are traveled. The last two marks are 8 miles together, meaning that each mark is 4 miles a piece. Therefore, 7 times 8 is 28 miles.

Step-by-step explanation:

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Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4% of the total inter

noname [10]

Given

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Total interest paid was $475

Find out he invest in each.

To proof

Let us assume that Paul invested in an account paying 4% be = x

As given in the question

Paul invested three times as much money in the account paying 5% interest then he did in an account paying 4%.

Let us assume that Paul invested in an account paying 5% be = 3x

Total interest paid = $475

First convert 4% in the decimal form

$=\frac{4}{100}$

= 0.04

First convert 5% in the decimal form

$=\frac{5}{100}$

= 0.05

Than the equation become in the form

0.04x + 0.05 × 3x = 475

0.04x + 0.15x = 475

0.19x = 475

x = $2500

Paul invested in an account paying 4% be = $2500

Paul invested in an account paying 5% be = $7500

Hence proved

5 0

3 years ago

1/2 times ? Equals 3 1/2

stepan [7]

Answer:

Step-by-step explanation:

1/2(x)=7/2

divide both sides by 1/2

x= $\frac{7}{2}$ ÷ $\frac{1}{2}$

x= $\frac{7}{2}$ · $\frac{2}{1}$

x=14/2=7

4 0

3 years ago

I don’t do really good with this kinda math

vesna_86 [32]

The formula for finding the area of a circle is A=pi(r^2). In this problem, you do 3.14 x 23^2.

3.14 x 23^2--->3.14 x 529--->1661.06 yards.

If you still don't understand and still need help, be free to ask me! Hope this helps!

6 0

4 years ago

What is the dependent variable?

Ann [662]

Dear Foxqueen, the dependent variable is D because the grades depend on the time spent playing video games. A is not logical because the video games owned might not be played, B is illogical because the points are the product of the video games, and C is not logical because that is actually the independent variable. (rate this brainiest)

6 0

3 years ago

Based on a random sample of 25 units of product X, the average weight is 102 lb and the sample standard deviation is 10 lb. We w

Dahasolnce [82]

Answer:

$t=\frac{102-100}{\frac{10}{\sqrt{25}}}=1$

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value we have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

Step-by-step explanation:

Data given and notation

$\bar X=102$ represent the mean score for the sample

$s=10$ represent the standard deviation for the sample

$n=25$ sample size

$\mu_o =100$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to determine if the mean is higher than 100, the system of hypothesis would be:

Null hypothesis: $\mu \leq 100$

Alternative hypothesis: $\mu > 100$

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:

Calculate the critical value

We need to find the degrees of freedom first, given by:

$df= n-1= 25-1 = 24$

Since we are conducting a right tailed test we need to find a critical value on the t distribution with 24 degrees of freedom that accumulates 0.01 of the area on the right and we got:

$t_{crit}= 2.49$

Since the calculated value is lower than the critical value w have enough evidence to FAIL to reject the null hypothesis

So then we can conclude that the population mean is not significantly higher than 100

3 0

3 years ago