If you add Natalie's age and Fred's age, the result is 44. If you add Fred's age to 4 times

Consider H0: μ = 45 versus H1: μ < 45. A random sample of 25 observations produced a sample mean of 41.8. Using α = .025 and

a_sh-v [17]

Given
$H0: \ \mu=45 \\ \\ H1: \ \mu\ \textless \ 45$
This is a one-tailed test.

$z= \frac{41.8-45}{6/ \sqrt{25} } = \frac{-3.2}{6/5} = \frac{-3.2}{1.2} =-2.6667$

$P(z\ \textless \ -2.6667)=0.00383$

Since the p-value of the sample statistic (0.00383) is less that the significant level (0.025), we reject the null hypothesis.

5 0

3 years ago

Help!

nignag [31]

1) 8 + 4 = -5 + 7

12 = 2

FALSE

2) y = -11x + 4

(0, -7): -7 = -11(0) + 4 ⇒ -7 = 0 + 4 ⇒ -7 = 4 False

(-1, -7): -7 = -11(-1) + 4 ⇒ -7 = 11 + 4 ⇒ -7 = 15 False

(1, -7): -7 = -11(1) + 4 ⇒ -7 = -11 + 4 ⇒ -7 = -7 True

(2, 26): 26 = -11(2) + 4 ⇒ 26 = -22 + 4 ⇒ 26 = -18 False

Answer: C

3) Input Output

0 0

<u> 1 </u> 3

2 <u> 6 </u>

3 9

5 15

6 <u> 18 </u>

Rule: input is being added by 1, output is 3 times x

4) c = 65h

5) 2x = -6

$\frac{2x}{2} = \frac{-6}{2}$

x = -3

6) 8j - 5 + j = 67

9j - 5 = 67 <em>added like terms (8j + j)</em>

9j = 72

$\frac{9j}{9} = \frac{72}{9}$

j = 8

7) y = mx + b

y - b = mx

$\frac{y - b}{x} = \frac{mx}{x}$

$\frac{y - b}{x} = m$

5 0

3 years ago

Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized

Degger [83]

To determine the number of cubes he needs to fill the box (this is assuming the cubes are 1 in cubes, he would need to calculate the volume of the box. To find the volume he would multiply the length by the width by the height. This would be 5 in x 6 in x 7 in. The volume is 210 cubic inches, so he could fill it with 210 one inch cubes.

3 0

3 years ago

What is 10,000,000 + 700,000,000 + 2,000,000 + 9,000 + 4 + 400,000 + 10,000 + 70 + 700 in standard form?

Katyanochek1 [597]

please mark this answer as brainlist

8 0

2 years ago

(-4, -2); y = - 2x + 4

padilas [110]

Answer:

y = -2x - 10

Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is y = -2x - 10.

8 0

3 years ago