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3 years ago

Factor the expression completely. 12X+18

Mathematics

1 answer:

harkovskaia [24]3 years ago

5 0

Answer:

6(2x+3)

Step-by-step explanation:

There's really no way to explain this. Take the number that all of the numbers in the equation can be divisible by and then single it out and then yeah.

Hope this helped! :)

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(CO 4) In a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard

AveGali [126]

Answer:

(22.12, 27.48)

Step-by-step explanation:

Given : Significance level : $\alpha: 1-0.95=0.05$

Sample size : n= 8 , which is a small sample (n<30), so we use t-test.

Critical values using t-distribution: $t_{n-1,\alpha/2}=t_{7,0.025}=2.365$

Sample mean : $\overline{x}=24.8\text{ hours}$

Standard deviation : $\sigma=3.2\text{ hours}$

The confidence interval for population means is given by :-

$\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

i.e. $24.8\pm(2.365)\dfrac{3.2}{\sqrt{8}}$

$24.8\pm2.67569206001\\\\\approx24.8\pm2.68\\\\=(24.8-2.68, 24.8+2.68)=(22.12, 27.48)$

Hence, the 95% confidence interval, assuming the times are normally distributed.= (22.12, 27.48)

6 0

3 years ago

Can someone please help me with this

Ludmilka [50]

Answer:

-21

Step-by-step explanation: a negative times a positive will always be a negative

7 0

3 years ago

Someone please help me 4(d + 6) =

zaharov [31]

Answer:

4d+24

Step-by-step explanation:

The distributive property says that 4(d+6)=4d+(4)(6)

which simplifies to 4d+24

(I hope that's what you needed, please lmk if you needed more than just simplifying.)

5 0

3 years ago

2 years ago, father age was nine times the son age but 3 years later it will be 5 times only. find the present ages of the fathe

Goshia [24]

Answer:

The Father is currently 47 and the Son is 7

Step-by-step explanation:

Let F and S be the present ages of Father and Son, respectively.

We are told that (F-2) = 9(S-2) [2 years ago, father age was nine times the son age]

We also learn that (F+3) = 5(S+3) [3 years later it will be 5 times only]

Take the first expression and isolate one of the variables (S or F). I'll isolate F:

(F-2) = 9(S-2)

F = 9S - 16

Now use this in the second expression:

(F+3) = 5(S+3)

((9S-16)+3) = 5(S+3)

9S-13 = 5S+15

4S = 28

S = 7

Since F = 9S-16,

F = 9*(7)-16

F = 47

Father is 47 and Son is 7

CHECK:

Was the father 9 times the age of his son 2 years ago?

Father would have been 45 and son 5. Yes, 9*5 = 45

In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50

3 0

1 year ago

A phone company has a monthly data plan where a customer pays flat monthly fee of $ 15 and then a certain amount of money per gi

ololo11 [35]

Answer:

Step-by-step explanation:

let x represent the number of MB used in a month.

Let y represent the monthly cost of using x MB.

If we plot y on the vertical axis and x on the horizontal axis, a straight line would be formed. The slope of the straight line would be

Slope, m = (36 - 24)/(7 - 3)

m = 12/4 = $3

We would represent the linear equation in the slope - intercept form which is expressed as

y = mx + c

Where

c = y intercept

m = slope

At the y intercept, x = 0. Therefore, the y intercept is the flat monthly fee of $15. It is charged whether MB is used or not. Therefore, the linear equation is

y = 3x + 15

C(x) = 3x + 15

3 0

3 years ago