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3 years ago

Whats the answer worth 20 points

Mathematics

2 answers:

DanielleElmas [232]3 years ago

4 0

Answer:

-2

Step-by-step explanation:

mote1985 [20]3 years ago

3 0

Answer:

-2

Step-by-step explanation:

-15x times -2 equals 30

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An NFL coach sometimes uses a defense that utilizes 3 defensive linemen, 4 linebackers, and 4 defensive backs. His roster (the p

Alexandra [31]

Answer:

68,600

Step-by-step explanation:

The order of the players is not important. For example, a defensive line of Shaq Lawson, Ed Oliver and Jerry Hughes is the same as a defensive line of Ed Oliver, Shaq Lawson and Jerry Hughes. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Defensive Lineman:

3 from a set of 8. So

$C_{8,3} = \frac{8!}{3!5!} = 56$

56 combinations of defensive lineman

Linebackers:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of linebackers

Defensive backs:

4 from a set of 7. So

$C_{7,4} = \frac{7!}{4!3!} = 35$

35 combinations of defensive backs

How many different ways can the coach pick the 11 players to implement this particular defense?

56*35*35 = 68,600

68,600 different ways can the coach pick the 11 players to implement this particular defense

7 0

4 years ago

Find the equation of the circle with a diameter whose end points are (-1,-2) and (-3,2)

Sergeeva-Olga [200]

Answer:

The equation of the circle with a diameter whose end points are (-1,-2) and (-3,2) is

$x^{2} +y^{2}+4x-1=0$

Step-by-step explanation:

Explanation:-

Step 1:-

The equation of the circle having center and radius is

$(x-h)^2+(y-k)^2=r^2$

here center is (h,k) and radius is r

Given diameter whose end points are (-1,-2) and (-3,2)

The diameter of the circle is passing through the center of the circle

so center of the circle = midpoint of two end points

$(\frac{-1 +(-3) }{2} ,\frac{-2+2 }{2} )$

$(-2,0)$

therefore center (h,k) = (-2,0)

Step 2:-

we have to find the radius of the circle

the radius of the circle = the distance from center to the one end point

i.e., C P = r

Given one end point is P(-3,2) and center C(-2,0)

The distance formula of two points are

$\sqrt{(x_{2}-x_{1} ) ^{2}+ (y_{2}-y_{1} ) ^{2}}$

$r=\sqrt{{(-3)-(-1) ) ^{2}+ (2-(-2)) ^{2}}$

$r=\sqrt{5}$

Step 3:-

center (h,k) = (-2,0) and

radius $r=\sqrt{5}$

The standard form of circle equation

$(x-h)^2+(y-k)^2=r^2$

$(x-(-2))^2+(y-0)^2=\sqrt{5} ^2$

on simplification is

$x^{2} +y^{2}+4 x-1=0$

5 0

3 years ago

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event. The probability of s

Harman [31]

Answer: 1/8

Step-by-step explanation:

Multiply the probabilities in order to get the compound probability:

P(odd number)= 5/10 because 5 numbers out of ten are odd

P(heads)= 1/2 because there is an equal to chance to get heads or tails

P(odd number)= same as before, 5/10 (independent events)

5/10*1/2*5/10

1/2*1/2*1/2= 1/8

3 0

4 years ago

What is the product? –9x(5 – 2x) 18x2 – 45x –18x2 – 45x –18x – 45x 18x – 45x

ser-zykov [4K]

–9x(5 – 2x)
= -45x + 18x^2
= 18x^2 - 45x

answer
18x^2 - 45x

7 0

3 years ago

Read 2 more answers

A set of data already has the values 11, 14, 23, and 16. What value would have to be added to the set for the mean of the

poizon [28]

Answer: 26

Step-by-step explanation:

Mean = total sum of data set / frequency of data set

6 0

3 years ago