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Andre45 [30]
2 years ago
11

Select the correct answer from each drop-down menu.

Mathematics
1 answer:
SVETLANKA909090 [29]2 years ago
6 0

She must win the next 8 consecutive games to get 80% and after that loose the next 12 games to get to 50%.

<h3>How to find the probability of winning?</h3>

She has won 8 out of 12 days. Thus, percentage of winning is;

P(winning) = 8/12 * 100%

P(Winning) = 75%

To arrive at 80% winning, it means that the number of extra consecutive games she must win is;

(8 + x)/(12 + x) = 80/100

10(8 + x) = 8(12 + x)

80 + 10x = 96 + 8x

2x = 16

x = 8

Thus, she must win the next 8 consecutive games to get 80%.

For her to get to 50% after that, it means that;

(16 - x)/(20 - x) = 50/100

(16 - x)/(20 - x) = 1/2

2(16 - x) = 20 - x

32 - 2x = 20 - x

x = 12

Read more about Probability of winning at; brainly.com/question/24756209

#SPJ1

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What is the value of x in the diagram?
PilotLPTM [1.2K]

Answer:

65

Step-by-step explanation:

They are vertical angles; so angles are congruent

*<em>Vertical angles are always congruent*</em>

<em>Congruent means equal or same.</em>

1) Since they are congruent, you form an equation.

<h2>145 = 2x + 15</h2>

2) Solve by subtracting 15 from both sides.

<h2>145 = 2x + 15</h2><h2>- 15            -15</h2><h2>----------------------</h2><h2>130 = 2x</h2>

3) Solve by dividing 2 from both sides

<h2>130/2 = 2x/2</h2>

4) Simplify

x = 65

7 0
3 years ago
The pack of 300 markers has a cost of $14.00. What is the UNIT COST for the markers? In other words, how much does each marker c
leva [86]

Answer:

04

Step-by-step explanation:

14/300=0.04

8 0
3 years ago
Read 2 more answers
The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?
miskamm [114]

Answer:

<h3>2√3</h3>

Step-by-step explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

7 0
3 years ago
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
andreyandreev [35.5K]

Answer:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable x to represent the money earned during fundraising activities and M for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

M = 60\%\ of\ x\\OR\\M = 0.6x

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

M = 0.6 \times 72\\\Rightarrow \$43.2

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67

So, the answers are:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

5 0
3 years ago
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