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Rus_ich [418]
3 years ago
10

A middle school football player, Bo, is just learning how to kick field goals. Currently, he only makes 1/3 of his kicks. A numb

er cube is being used to simulate the result of Bo’s kicks where the numbers 1 or 2 represent a made field goal and the numbers 3,4,5, or 6 represent a missed field goal. Use the following 20 trials of rolling a fair number cube to answer each question.
​ 2436 4251 6233 5316 5212

​ 6643 5326 5313 2152 4164

​ 3642 3554 6413 2563 4533

​ 2512 6634 4536 2112 5546

a. The estimate of the probability that Bo makes three or four field goals is .

​b. The estimate of the probability that Bo does not make any field goals is
Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Currently, he only makes 1/3 of his kicks. ... A number cube is being used to simulate the result of Bo's kicks where the numbers 11 or 22

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Roy and Sam start solving the equation as follows.
denpristay [2]

Answer:

The correct option is D.

Step-by-step explanation:

The given equation is

-3x+4=5x-6

According to the addition property of equality a=b and a+c=b+c are equivalent equations.

Use addition property of equality, add 3x on both the sides.

-3x+4+3x=5x-6+3x

4=8x-6

Therefore Sam's work is incorrect because he make calculation mistake.

According to the subtraction property of equality a=b and a-c=b-c are equivalent equations.

Use subtraction property of equality, subtract 5x from both the sides.

-3x+4-5x=5x-6-5x

-8x+4=-6

Therefore Roy's work is correct because he used subtraction property.

Option D is correct.

7 0
3 years ago
What is the value of the rational expression<br> 2x+1<br> when x = 5?
Nataly [62]

Step-by-step explanation:

2x+1

x = 5

2(5)+1

=10+1=11

6 0
3 years ago
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A 30-year, $1,000 strip bond was traded for $167, four years after it was issued. What was the semi-annually compounded nominal
Anna007 [38]

Answer:

The semi-annually compounded nominal rate at that time is 7%

Step-by-step explanation:

In order to calculate the semi-annually compounded nominal rate at that time we would have use the following formula:

PV= FV/(1+r)^n

According to the given data we have the following:

PV=$167

FV=$1,000

n=30-year, and strip bond was traded four years after it was issued, hence, n=(30-4)*2 =52

Therefore, 167= $1,000/( 1+r)^52

167/$1,000 =1/(1+r)^52

0.167 =1/(1+r)^52

r =3.50%

Therefore, The semi-annually compounded nominal rate at that time=3.50%*2

The semi-annually compounded nominal rate at that time=7%

The semi-annually compounded nominal rate at that time is 7%

4 0
4 years ago
The area of a circular wave expands across a still pond such that its radius increases by 8cm each second. Write a formula for t
dedylja [7]

Answer:

A(t) = π(8t)²

Step-by-step explanation:

Radius of a circular wave increases by 8 cm each second.

Every second radius of circular wave so the sequence of increase in radius will be,

8, 16, 24, 32.........(8t)

Here 't' = time

Since, area of a circle = πr²

Therefore, area of the circular wave after 't' seconds since the wave begins,

A(t) = π(8t)²

4 0
3 years ago
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Please help!! And I need the steps
Natali5045456 [20]

Answer: it’s 2/3

Step-by-step explanation: From 0, -3 to 2,0 it’s up three and right to so 2/3

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