Determine which of these illustrates two quantities that combine to make 0.

A college basketball coach has 12 players on his team. eight players are receiving scholarships, and four are not. the coach dec

EleoNora [17]

Solution: The given problem is a binomial distribution.

The probability that a team member receives a scholarship is $\frac{8}{12} = 0.67$

Therefore, the given problem follows binomial with n = 5 and p = 0.6667

Now the probability that 4 of 5 players selected are on scholarship is:

$P(x=4) = \binom{5}{4} \times 0.6667^{4} (1-0.6667)^{5-4}$

$=5 \times 0.1976 \times 0.3333$

$=0.329$

Therefore, the probability that 4 of 5 players selected are on scholarship is 0.329

5 0

3 years ago

A rectangle has an area of 4 square centimeters. A second rectangle is 3 times as long and 3 times as wide as the first rectangl

vekshin1

Answer:

The area of the second rectangle will be 36 square centimetres

Step-by-step explanation:

Given:

Area of the first rectangle = 4 square centimetres

A second rectangle is 3 times as long and 3 times as wide as the first rectangle

To Find:

Area of the second rectangle = ?

Solution:

We know that area of the rectangle is Length X breadth

Length X width = 4

In this case the are 2 possibilities

Case 1:

Length = 2 cm

Width = 2 cm

2 X 2 = 4

Now According to the question

Length is 3 times = 2 X 3 = 6cm

width is also 3 times = 2 X 3 = 6 cm

Now the area of the second rectangle will be

6 X 6 = 36 square centimetres

Case 2:

Length = 4 cm

Width = 1 cm

4 X 1 = 4

Now According to the question

Length is 3 times = 4 X 3 = 12 cm

width is also 3 times = 1 X 3 =3 cm

Now the area of the second rectangle will be

12 X 3 = 36 square centimetres

5 0

2 years ago

A spider ate 2 5 % 25%25, percent more bugs this month than last month. The spider ate 8 88 bugs last month.

ankoles [38]

25% of 88 =

0.25 × 88 = 22

88 + 22 = 110

Answer = 110

Hope this helped☺☺

4 0

3 years ago

Given an equation x3 - 8x2 - 9x + 72 = 0, find the zeros.

sveta [45]

Answer:

= 28/3

Step-by-step explanation:

Let's solve your equation step-by-step.

x(3)−(8)(2)−9x+72=0

Step 1: Simplify both sides of the equation.

x(3)−(8)(2)−9x+72=0

3x+−16+−9x+72=0

(3x+−9x)+(−16+72)=0(Combine Like Terms)

−6x+56=0

Step 2: Subtract 56 from both sides.

−6x+56−56=0−56

−6x=−56

Step 3: Divide both sides by -6.

−6x

−6

=

−56

−6

x=

28

3

Answer:

x=

28

3

7 0

3 years ago

there are 6 buses transporting students to a baseball game with 32 students on each bus.each row at the baseball stadium seats 8

quester [9]

Amount of students x Amount of buses
= 32 x 6
= 192 [students]

You need 192 seats since there are 192 students. To find how many rows you need you divide 192 by 8 which gives you 24

24 rows of seats are needed for the students

3 0

3 years ago

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