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iren2701 [21]
3 years ago
14

A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fan

s of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.
Which statements are true? Check all that apply.

P(F|C) = 0.75
P(C|F) = 0.25
P(C∩F) = 0.09
P(C∩F) = P(F∩C)
P(C|F) = P(F|C)
Mathematics
2 answers:
Luden [163]3 years ago
6 0

Answer:

1 3 and 4 .

Step-by-step explanation:

it says so on e 2020

Aleonysh [2.5K]3 years ago
5 0

Answer:

P(F/C) = 0.75

P(C^F) = 0.09

P(C^F) = P(F^C)

Step-by-step explanation:

P(C^F) = 9% = 0.09

P(C^F) = P(F^C)

P(F/C) = P(F^C)/P(C)

= 0.09/0.12 = 0.75

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2. Given < MCP = 65°, find the measurement of arc MP , arc MRP and < MRP.​
iren2701 [21]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

We know that the Angle subtended by an arc on centre of the circle is double as that of Angle subtended by the same arc on the circumference (boundary) of the circle

So,

  • \sf \angle MCP =  2\angle MRP

  • \sf65 \degree = 2 \angle MRP

  • \sf\angle MRP = 65 \degree \div 2

  • \sf\angle MRP = 32.5 \degree

7 0
2 years ago
Read 2 more answers
PLEASE HELP!!! Given the functions, f(x) = 6x + 2 and g(x) = x - 7, perform the indicated operation. When applicable, state the
Brums [2.3K]

Answer:

The domain restriction for (f/g)(x) is x=7

Step-by-step explanation:

we have

f(x)=6x+2

g(x)=x-7

so

(f/g)(x)=\frac{6x+2}{x-7}

Remember that

the denominator can not be equal to zero

so

Find the domain restriction

x-7=0

x=7

therefore

The domain is all real numbers except the number 7

(-∞,7)∪(7,∞)

4 0
3 years ago
Read 2 more answers
The figures in the picture are similar to each other find the value of x
alisha [4.7K]

Answer:

x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

\frac{small}{large}=\frac{3}{6}=\frac{(x-3)}{(x+1)}

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

6 0
2 years ago
1. (a) Use the integral test to show that P[infinity] n=1 1/n4 converges. (b) Find the 10th partial sum, s10, of the series P[in
scZoUnD [109]

Answer:

Step-by-step explanation:

a) \int\limits^{\infty} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

Substitute limits to get

= \frac{1}{3}

Thus converges.

b) 10th partial sum =

\int\limits^{10} _1 {\frac{1}{n^4} } \, dn\\ =\frac{n^{-3} }{-3}

=\frac{-1}{3} (0.001-1)\\= 0.333

c) Z [infinity] n+1 1 /x ^4 dx ≤ s − sn ≤ Z [infinity] n 1 /x^ 4 dx, (1)

where s is the sum of P[infinity] n=1 1/n4 and sn is the nth partial sum of P[infinity] n=1 1/n4 .

(question is not clear)

3 0
3 years ago
What is the next term of 54, 36, 24
NISA [10]

Answer:

18

Step-by-step explanation:

54-36=18

36-24= 12

it is going down by multiples of six, so you would take 24 and subtract 6 and you will get 18

5 0
3 years ago
Read 2 more answers
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