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IgorLugansk [536]

2 years ago

5

A family pays $45 each month for cable television. the cost increases 7%.a. how many dollars is the increase?the increase is $.b

. what is the new monthly cost?the new monthly cost is $.

1 answer:

yKpoI14uk [10]2 years ago

3 0

It increased by $3.15
The new monthly cost is $48.15

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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

2 years ago

A side of the triangle below has been extended to form an exterior angle of 128° . Find the value of x.

AfilCa [17]

Answer:

Step-by-step explanation:

The sum of adjacent angles traversed by a line must equal 180 degrees.

128+x=180

x=52

8 0

2 years ago

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irakobra [83]

Answer:

A is only ur answer

Hope it helps you.

8 0

2 years ago

If the measure of the angles of a traingle are represented by 2x, 3x-15, and 7x+15, the traingle is

pshichka [43]

X=15degrees
The angle measurements are 30, 30, and 120 so it is an isosceles

6 0

3 years ago

A, B, and C are midpoints of ∆XYZ. What is the length of cy

iogann1982 [59]

Answer:

$XY=36\ units$

Step-by-step explanation:

<u><em>The correct question is</em></u>

A, B, and C are midpoints of ∆XYZ. What is the length of XY

we know that

The<u><em> Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side

step 1

Find the length of YZ

$AB=\frac{1}{2}YZ$

we have

$AB=24\ units$

substitute

$24=\frac{1}{2}YZ$

solve for YZ

$YZ=48\ units$

step 2

Find the length of XY

Applying Pythagoras Theorem in the right triangle XYZ

$XZ^2=XY^2+YZ^2$

substitute the given values

$60^2=XY^2+48^2$

solve for XY

$3,600=XY^2+2,304$

$XY^2=3,600-2,304$

$XY^2=1,296$

$XY=36\ units$

Applying the Midpoint Theorem

$BC=\frac{1}{2}XY$ -----> $BC=\frac{1}{2}(36)=18\ units$

$AC=\frac{1}{2}XZ$ -----> $AC=\frac{1}{2}(60)=30\ units$

5 0

2 years ago