Answer true or false for them all<br> thanks

For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. Th

Galina-37 [17]

Answer:

The standard deviation of the number of rushing yards for the running backs that season is 350.

Step-by-step explanation:

Consider the provided information.

The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards.

Here it is given that mean is 790 and 1637 is 2.42 standard deviations above the mean.

Use the formula: $z=\frac{x-\mu}{\sigma}$

Here z is 2.42 and μ is 790, substitute the respective values as shown.

$2.42=\frac{1637-790}{\sigma}$

$\sigma=\frac{847}{2.42}$

$\sigma=350$

Hence, the standard deviation of the number of rushing yards for the running backs that season is 350.

4 0

4 years ago

If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?

Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B + 90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0

3 years ago

A container holds 76 cups of water. how much is this in gallons? write your answer as a whole number or mixed number in simplest

stiv31 [10]

4.75 or 4 3/4 US liquid gallons

5 0

3 years ago

Read 2 more answers

Can the product of reciprocals ever equal negative 1? Why

Aleks04 [339]

No because when ever you multiply the same reciprocals you always end up with the number 1

4 0

4 years ago

Andrew drew a plan of a courtyard at a scale of 1 cm to 60 in. On his drawing, one side of the courtyard measures 2.75. What is

hammer [34]

Answer:

The answer to your question is: 165 in

Step-by-step explanation:

Data

1 cm --------------- 60 inches

If 1 side of the courtyard measures 2.75, what is the actual size of that side?

We can solve this problem with a rule of three

1 cm -------------------- 60 inches

2.75 --------------------- x

$\frac{2.75(60)}{1}$

= 165 inches

5 0

3 years ago

Answer true or false for them all thanks