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AlekseyPX
3 years ago
7

This Venn diagram shows sports played by 10 students.

Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer: Option A

P(A|B)=\frac{3}{5}=0.6

Step-by-step explanation:

By Definition the probability of A given B is:

P(A|B)=\frac{P(A\ and\ B)}{P(B)}=\frac{A\ and\ B}{B}

Note that the number of students playing basketball is 6

The number of students playing soccer is 5

The number of students who play both sports is 3

Therefore we have that:

P(A|B)=\frac{3}{5}=0.6

The answer is the option A

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Which phrases can be used to represent the inequality 12 minus 3 x greater-than-or-equal-to 9? Select two options.
AlexFokin [52]

Answer:

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no smaller than nine.

Step-by-step explanation:

complete question is:

Twelve less than three times a number is greater than or equal to nine.

Twelve less than three times a number is at least nine.

Twelve less three times a number is at least nine.

Twelve minus the product of three and a number is no more than nine.

Twelve minus the product of three and a number is no smaller than nine.

ANSWER:

<u>Twelve less three times a number is at least nine.</u>

The phrase "twelve less three..." means that the "three times a number" is being subtracted from twelve. So, it has to be at least nine.

<u>Twelve minus the product of three and a number is no smaller than nine.</u>

Even the least number you suppose is 1 we'll get 9

e.g: 12-3(1)=9. Therefore, this statement also represent the inequality

3 0
3 years ago
Read 2 more answers
In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric
Lelu [443]

Answer:

y(x) = 29.99 + 1.86x

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

y(x) = y(0) + ax

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that y(0) = 29.99

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

y(16) = 59.75

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

y(x) = y(0) + ax

Applying y(16).

59.75 = 29.99 + 16a

16a = 29.76

a = \frac{29.76}{16}

a = 1.86

So

y(x) = 29.99 + 1.86x

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

y(x) = 29.99 + 1.86x

y(20) = 29.99 + 1.86*20 = 67.19

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0
3 years ago
Is 1.202 meters longer than 1.29 meters?
Elena L [17]
No it's longer because 1.29 is bigger
7 0
3 years ago
Violet is planning to make 32 semiannual loan payments of $1580 dollars each. If her bank charges an annual interest rate of 3.8
sergij07 [2.7K]

Answer:

  $21,623.70

Step-by-step explanation:

A suitable financial calculator can compute the beginning balance and the remaining balance for you. The attachments show a TI-Nspire calculator's TVM solver app being used to answer this question.

The first attachment shows the computation of the loan value. It is about $37,624.54.

The second attachment shows the computation of the remaining balance after 16 of the 32 semi-annual payments have been made.

The loan balance 8 years from the end of the loan will be about $21,623.70.

8 0
2 years ago
Narasimha, Madhu and Pavan started a business by investing Rs. 120,000, Rs. 135,000 and Rs. 150,000 respectively. Find the share
zmey [24]

Answer:

1.

= Here,

Narasimha invest = 120,000

Madhu 135,000

pavan =

6 0
3 years ago
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