For any normal distribution, the mean and the median will have the same value. For any normal distribution, the proportion corresponding to scores greater than z = +1.00 is exactly equal to the proportion corresponding to scores less than z = -1.00.

Step-by-step explanation:

5 0

3 years ago

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

Setler [38]

Answer:

b=0.5 in

b=2 in

Step-by-step explanation:

we know that

The perimeter of triangle is equal to

$2a+b=15$

Solve for a

$a=\frac{15-b}{2}$ -----> equation A

Applying the Triangle Inequality Theorem

a+a > b

2a > b -----> inequality B

<u>Verify each case</u>

case 1) b=-2 in

This value not make sense, the length side cannot be a negative number

case 2) b=0 in

This value not make sense

case 3) b=0.5 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-0.5}{2}=7.25\ in$

substitute the values of b and a in the inequality B

2a > b

2(7.25) > 0.5

14.50 > 0.5 -----> is true

therefore

b=0.5 in make sense for possible values of b

case 4) b=2 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-2}{2}=6.5\ in$

substitute the values of b and a in the inequality B

2a > b

2(6.5) > 2

13 > 2 -----> is true

therefore

b=2 in make sense for possible values of b

case 5) b=7.9 in

substitute the value of b in the equation A and solve for a

$a=\frac{15-7.9}{2}=3.55\ in$

substitute the values of b and a in the inequality B

2a > b

2(3.55) >7.9

7.1 > 7.9 -----> is not true

therefore

b=7.9 in not make sense for possible values of b

5 0

3 years ago

Read 2 more answers

Julie has a jewlery box shaped like a cube. The volume of the jewlery box is v cubic inches. Write an

Stolb23 [73]

Answer: ∛v

Step-by-step explanation:

Since we know volume is measured height x width x length, we know the equation we'd use here would be:

___ x ___ x ___ = v in³

If this was area, we would have ___ x ___ = v in², and it would be easy to find each blank. You would just find the square root of "v", making your answer √v.

When you have 3 things multiplied by each other (that are exactly the same, which is the situation here since this is a cube), you will want to find ∛x (if x is our unknown variable). This means that we are finding ONE-THIRD of the number ... sort of. So if x was equal to 8, then ∛x = 2, because 2 x 2 x 2 = 8.

In our situation here, x = v, and since we don't know the actual number, we will keep it as a square root, so the answer to your question is ∛v.

I really hope I was able to explain easy enough, feel free to ask anything else!

7 0

3 years ago

How do you get the fully simplified slope-intercept form?

Mnenie [13.5K]

Answer:

y = 3x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Where:

y is the y value.

m is the slope.

x is the x value.

And b is the y-intercept.

First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:

m = rise/run

m = 3/1

m = 3

With the slope formula, you first need to choose two points.

I chose:

(2, -1) and (3, 2)

Slope formula:

m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}

m = (2 - (-1)) / (3 - 2)

m = 3/1

m = 3

Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:

y-int = -7

To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.

I chose:

(2, -1)

y = 3x + b

-1 = 3(2) + b

-1 = 6 + b

-1 - 6 = b

b = -7

Now you have your final answer:

y = 3x - 7

6 0

3 years ago