All categories

3 years ago

3) What is the greatest common factor of 5x7, 30x4, and 10x3?

Mathematics

2 answers:

vampirchik [111]3 years ago

7 0

5 because it is the largest integer it can be divided by

Rina8888 [55]3 years ago

3 0

Answer:

because it is the largest positive integer that all of the products can be divided by.

You might be interested in

On the distant plant, Mathology, a sports area covers 7400 yodels2. How many square deckles would this be if 1 deckle = 75.9 yod

STatiana [176]

Answer:

It would be <u>97.50</u> square deckles.

Step-by-step explanation:

Given:

On the distant plant, Mathology, a sports area covers 7400 yodels².

1 deckle = 75.9 yodels.

Now, to get the square deckles.

As given, 1 deckle = 75.9 yodels.

So, to get the square deckles by using conversion factor:

<em>75.9 yodels = 1 deckle.</em>

7400 yodels² = $7400\div 75.9$

= $97.50\ deckels ^2.$

Therefore, it would be 97.50 square deckles.

8 0

4 years ago

15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.

irina [24]

Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

0 = -1000x + 8000

-8000 = -1000x

8 = x

It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

5 0

3 years ago

The Pew Research Center reported that 73% of Americans who own a cell phone also use text messaging. In a recent local survey, 1

AnnZ [28]

Answer:

$z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433$

Now we can find the p value. Since we have a bilateral test the p value would be:

$p_v =2*P(z>1.433)=0.152$

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

Step-by-step explanation:

Information provided

n=200 represent the sample size slected

X=155 represent the cell phone owners used text messaging

$\hat p=\frac{155}{200}=0.775$ estimated proportion of cell phone owners used text messaging

$p_o=0.73$ is the value to verify

$\alpha=0.1$ represent the significance level

We need to conduct a z test for a proportion

z would represent the statistic

$p_v$ represent the p value

System of hypothesis

We want to verify if the true proportion of cell phone owners used text messaging is different from 0.73 so then the system of hypothesis are:

Null hypothesis: $p=0.73$

Alternative hypothesis: $p \neq 0.73$

The statistic to check this hypothesis is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the data given we got:

$z=\frac{0.775 -0.73}{\sqrt{\frac{0.73(1-0.73)}{200}}}=1.433$

Now we can find the p value. Since we have a bilateral test the p value would be:

$p_v =2*P(z>1.433)=0.152$

Since the p value is higher than the significance level of 0.1 we have enough evidence to FAIL to reject the null hypothesis and the best conclusion for this case would be:

Do Not reject H0

6 0

3 years ago

Database about trees include a height field. What kind of sort would list the data from tallest to shortest?

Inga [223]

Correct answer : 2) descending sort

8 0

3 years ago

В треугольник abc биссектриса угла a делит сторону bc на отрезки 15 см и 20 см

LenaWriter [7]

Answer:

wah

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers