Write each mixed number as a percent: 7 3/10

A researcher wants to test to see if husbands are significantly older than their wives. To do this, he collects the ages of husb

OLga [1]

Complete Question

The complete is shown on the first uploaded image

Answer:

The correct option are option 2 and option 4

Step-by-step explanation:

From the question we are told that

The sample size is n = 12

The test statistics is $t \approx 1.434$

The level of significance is $\alpha = 0.05$

The rejection region is t>1.796

The null hypothesis $H_o: \mu_d=0$

The alternative hypothesis is $H_a : \mu_d >0$

From the given values we see that t < 1.796(i.e 1.434 < 1.796 ) which implies that t is not within the rejection region

Hence we fail to reject the null hypothesis

The conclusion is that there is insufficient evidence to suggest that that the husbands are significantly older than the wife.

4 0

3 years ago

The perimeter of a playing card is 30 centimeters. The area is 50 square centimeters. What are the dimensions of the playing car

Arlecino [84]

Step-by-step explanation:

We get two equations here. One for the area and one for the perimeter. The area gives us x×y=50. The perimeter, if we have a rectangle, x+y+x+y=30=2x+2y. For this to work we need to make a simple expression for x or y. Let's go with x here. 2x+2y=30 so x=15-y. if we fill that in the other equation we get (15-y)×y=50 (see picture). y=5 or y=10. If we fill in x×5=50 we get x=10 and vice versa. So the dimensions are 5 centimeters by 10 centimeters

3 0

3 years ago

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

3 years ago

Read 2 more answers

Make up a story that can be represented by y=4x

Papessa [141]

Jeff is selling Raspberry Pi cases for $4 dollars. If Jeff sells 5 Raspberry Pi cases, how much will he make off the sale?

8 0

3 years ago

Here is a growing pattern of squares:

Flura [38]

Answer:

squares in Step n. f (n) = 8 + 3(n – 1} for n > 1 /(1) = 8, /{n2) = 3+f (n – 1) for n > 2 01)= 8, 7 (n) = 8= ƒ(n=1) forn> 2 Df1)= 3 -8 (n- 1) forn > 1 Of (n) - 37 + 5 for n > 1 32+5 for n>1 CS (n) 3+ an forn 1

Step-by-step explanation:

3 0

1 year ago