Find the approximate value of a.

You can rake a 20 square meter lawn in 10 minutes. If your mother asks you to rake your own lawn, which is 30 square meters, how

arsen [322]

20 square meter lawn..............................10 min
10 square meter lawn...............................5 min
30 square meter lawn in.........................5*3=15 min

5 0

3 years ago

Under her cell phone plan, Morgan pays a flat cost of $54 per month and $5 per gigabyte, or part of a gigabyte. (For example, if

Bogdan [553]

Answer: She can use 4 gigabyte while remaining in her budget.

Step-by-step explanation:

You would first subtract 54 from 70 which leaves you with 16,

Then you would divide 16 by 4 to find how many gigabytes she could use which gives you 4

So she can use 4 gigabyte while remaining in her budget.

Learn more about basic mathematics operations here

brainly.com/question/28493322

#SPJ9

7 0

1 year ago

Read 2 more answers

Natalie makes $2,000 per month. She spends $100 on credit card payments and $250 on an auto loan. What is her debt-to-income rat

umka2103 [35]

The answer would be 17.5%

3 0

3 years ago

Read 2 more answers

A person purchased a slot machine and tested it by playing it 1,137 times. There are 10 different categories of outcomes, includ

ivann1987 [24]

Answer:

$p_v= P(\chi^2_{9}>11.517)=0.2419$

And on this case if we see the significance level given $\alpha=0.1$ we see that $p_v>alpha$ so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

Step-by-step explanation:

A chi-square goodness of fit test determines if a sample data obtained fit to a specified population.

$p_v$ represent the p value for the test

O= obserbed values

E= expected values

The system of hypothesis for this case are:

Null hypothesis: $O_i = E_i[/tex[Alternative hypothesis: [tex]O_i \neq E_i$

The statistic to check the hypothesis is given by:

$\chi^2 =\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}$

On this case after calculate the statistic they got: $\chi^2 = 11.517$

And in order to calculate the p value we need to find first the degrees of freedom given by:

$df=n-1=10-1=9$ , where k represent the number of levels (on this cas we have 10 categories)

And in order to calculate the p value we need to calculate the following probability:

$p_v= P(\chi^2_{9}>11.517)=0.2419$

And on this case if we see the significance level given $\alpha=0.1$ we see that $p_v>alpha$ so we fail to reject the null hypothesis that the observed outcomes agree with the expected frequencies at 10% of significance.

6 0

3 years ago

An investment made in the stock market decreased at a rate of 1.2% per year for 25 years. What is the current value of the $100,

densk [106]

Use A = P (1 + r/n) ^(nt). Assuming that we're dealing with years here, n = 1, so we have

A = P (1 + r) ^(t), where r is the interest rate as a decimal fraction.

The investment decreases in value, so the common ratio r is (1.000-0.012), or 0.988.

Thus, A = $100,000* (0.988) ^25 = $73947.52 is the current value, after 25 years.

6 0

2 years ago