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3 years ago

2. What is the sample space for the chance experiment described on this scenario card?

Mathematics

1 answer:

Akimi4 [234]3 years ago

4 0

Answer:18 outcomes

Step-by-step explanation:

There are 18 outcomes on this scenario card. Students can list all of the outcomes or describe them. Here is the list

(the first number is the outcome from Spinner 1, and the second number is the outcome from Spinner 2).

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At a high school basketball game the lions and the eagles are playing. the lions attempted 16 free throws and made 13, attempted

vampirchik [111]

<u>Answer:</u>

a. The free throw percentage obtained by the Lions is of <em>81.25%</em>.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

Solution:

a. The lions attempted 16 free throws and made 13, which means lions scored 13 out of 16,

The free throw percentage obtained by the Lions = $\frac{13}{16}$ <em> × 100 = 81.25%</em>

The free throw percentage obtained by the Lions is <em>81.25%</em>

b. The eagles attempted 27 free throws and made 7 which means 7 out of 27, so:

The free throw percentage obtained by the eagles = $\frac{7}{27}$ × 100 = 25.92 %

The free throw percentage obtained by the eagles is 25.92 %

c. The lions attempted 51 two-point shots and made 22, and attempted 16 three-point shots and made 10.

Total attempted = 51 + 16 = 67

Total shots made = 22 + 10 = 32

The field goal percentage (two-point and three-point shots combined) for the Lions = $\frac{32}{67}$ × 100 = 47.76 %

The field goal percentage for the Lions was of 47.76 %.

d. The eagles attempted 41 two-point shots and made 19, and attempted 16 three-point shots and made 7.

Total attempted = 41 + 19 = 60

Total shots made = 19 + 7 = 26

The field goal percentage (two-point and three-point shots combined) for the eagles= $\frac{32}{67}$ × 100 = 43.33 %

The field goal percentage for the eagles was of 43.33 %.

e. Total goals secured by lions 13 free throws, 22 two's and 10 three's. So

Total points = 10 × 1 + 22 × 2 + 10 × 3 = 84

The Lions scored 84 points.

f. Total goals secured by eagles 7 free throws, 19 two's and 7 three's. So

Total points = 7 × 1 + 19× 2 + 7 × 3 = 66

The eagles scored 66 points.

<h3>What is percentage?</h3>

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Know more about percentage problems brainly.com/question/15583541

#SPJ4

8 0

2 years ago

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

spin [16.1K]

Answer:

$\huge\boxed{7.79 \ \text{feet}}$

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

| \

x | \ 9

| \

|_____\

4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that $a^2+b^2=c^2$ , where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

$a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79$

Hope this helped!

7 0

3 years ago

Each TTF site bought a new rope bridge for 4,500. TTF will make monthly payments of $350 until the bill is paid. Write an equati

strojnjashka [21]

Answer: 4500 - 350m

Step-by-step explanation:

From the question, we are informed that each TTF site bought a new rope bridge for 4,500 and that TTF will make monthly payments of $350 until the bill is paid.

The equation for the unpaid balance B after m monthly payments will be:

= 4500 - 350m

where me = number of months

For example, if the number of months used is 4 months, the unique balance will be:

= 4500 - 350m

= 4500 - 350(4)

= 4500 - 1200

= 3300

7 0

3 years ago

What is the slop of the line contains points (1,1) and (5,-5) write a answer as friction as simplest from (hint 2/1 should be si

lozanna [386]

Answer:

$-\frac{3}{2}$

Step-by-step explanation:

Given parameters:

Points = (1,1) and (5,-5)

Unknown:

Slope = ?

Solution:

The slope of the a line is the ratio of the rise of a line to its run.

Slope = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

x1 = 1

y1 = 1

x2 = 5

y2 = -5

Insert the parameters and solve;

Slope = $\frac{-5 - 1}{5-1}$ = $\frac{-6}{4}$ = $-\frac{3}{2}$

4 0

3 years ago

Write an equation of a line with slope -1 that contains point P(2,-4)

Maurinko [17]

Explanation:

The slope-intercept form of a line is:

y=mx+b

where:

m is the slope of the line

b is the y-intercept

We are given that m=4 and the line passes through (7,2).

∴2=4⋅7+b

2=28+b

b=−26

Therefore the equation of the line is:

y=4x−26

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

5 0

4 years ago