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2 years ago

5

Neil's soccer team consists of 8 sophomore members, 14 junior members, and 10 senior members. If 1 member is selected at random

to act as captain, what is the probability that the captain will be a senior?

1 answer:

guajiro [1.7K]2 years ago

5 0

Answer:

probability (captain will be a sophomore)

= 8/32 = 1/4

probability (not a sophomore)

= 1 = 1/4

= 3/4

Step-by-step explanation:

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Tom throws a Frisbee into the air from a height of 4 feet with

siniylev [52]

Answer:

68 feet

Step-by-step explanation:

Vertical motion model:

h = -16t² + vt + s

Given v = 64 and s = 4:

h = -16t² + 64t + 4

This is a parabola. The maximum of a parabola is at the vertex.

For y = ax² + bx + c, the vertex is at x = -b/(2a).

Therefore, the time to reach the maximum height is:

t = -64 / (2 × -16)

t = 2

And the maximum height is:

h = -16(2)² + 64(2) + 4

h = 68

So the Frisbee reaches a maximum height of 68 feet.

5 0

3 years ago

Question 8 of 25<br> Which of the following is the quotient of the rational expressions shown here?

Alla [95]

Answer:

B. (5x+5)/(x²-2x)

Step-by-step explanation:

As with numerical fractions, division by a rational expression is equivalent to multiplication by its reciprocal.

<h3>As a multiplication problem</h3>

$\dfrac{5}{x-2}\div\dfrac{x}{x+1}=\dfrac{5}{x-2}\times\dfrac{x+1}{x}$

<h3>Product of rational expressions</h3>

As with numerical fractions, the product is the product of numerators, divided by the product of denominators.

$=\dfrac{5(x+1)}{x(x-2)}=\boxed{\dfrac{5x+5}{x^2-2x}}$

4 0

1 year ago

What is the y-intercept Of the function Represented by the table of values belowX -2 1 2 4 7 y 15 6 3 -3 -12

Kipish [7]

Given:

The table of values.

To find:

The y-intercept of the given function.

Solution:

The table of values represents a linear function because the rate of change is constant.

Consider any two points from the given table. Let the two points are (-2,15) and (1,6). Then the equation of the linear function is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-15=\dfrac{6-15}{1-(-2)}(x-(-2))$

$y-15=\dfrac{-9}{1+2}(x+2)$

$y-15=\dfrac{-9}{3}(x+2)$

$y-15=-3(x+2)$

Adding 15 on both sides, we get

$y=-3x-6+15$

$y=-3x+9$

Putting x=0, we get

$y=-3(0)+9$

$y=0+9$

$y=9$

The y-intercept is 9. Therefore, the correct option is C.

8 0

2 years ago

Read 2 more answers

4(x−0.8)=3.8x−5.8 PLZZZ ANSWER FAST!

Hunter-Best [27]

To find the answer:
$4(x - 0.8) = 3.8x - 5.8 \\ 4x - 3.2 = 3.8x - 5.8 \\ 4x - 3.8x = - 5.8 + 3.2 \\ 0.2x = - 2.6 \\ x = - \frac{ 2.6}{0.2} \\ x = - 13$

Therefore, x=-13.

Hope it helps!

5 0

2 years ago

Read 2 more answers

Complete this word<br>[tex] _ r _ch_i_ [\tex]

Anna007 [38]

Answer:

Arachnid is my guess.

3 0

1 year ago