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Free_Kalibri [48]
2 years ago
9

The probability that Bob and Chris go to the movies is 0.35. The probability that Chris goes to the movies is 0.5. What is the p

robability that Bob goes to the movies given that Chris goes
Mathematics
1 answer:
evablogger [386]2 years ago
4 0

Answer:

P(B/C)=0.7

Step-by-step explanation:

From the question we are told that:

The probability that Bob and Chris go to the movies P(BnC)= 0.35.

The probability that Chris goes to the movies P(C)= 0.5

Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by

 P(B/C)=\frac{ P(BnC)}{P(C)}

Therefore

 P(B/C)=\frac{0.35)}{0.5}

 P(B/C)=0.7

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Doogle drove 30 and one-third miles toward his brother's house in one-third of an hour. About how long will the entire 100-mile
Olenka [21]

Answer:

1\frac{9}{91}\ hours

Step-by-step explanation:

we know that

30 and one-third miles is equal to

30\frac{1}{3}\ mi=\frac{30*3+1}{3}=\frac{91}{3}\ mi

one-third of an hour is equal to

\frac{1}{3}\ h

Applying proportion

\frac{(1/3)}{(91/3)}\frac{h}{mi}=\frac{x}{100}\frac{h}{mi}\\ \\x=\frac{100}{91}\ h

Convert to mixed number

\frac{100}{91}\ h=\frac{91}{91}+\frac{9}{91}=1\frac{9}{91}\ h

8 0
3 years ago
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What is the equation of the line that passes through the point (-2,0) and has a slope of -2
Tcecarenko [31]

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

6 0
2 years ago
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the basketball team is going to madison square garden to see a knicks game. there are 39 children on the team. they can fit 9 ch
juin [17]
5 would be the answer
4 0
3 years ago
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Domain and Range for the function f(x)=5IXI is
shutvik [7]

Answer:

The domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

Step-by-step explanation:

Given the function

f\left(x\right)=5\left|x\right|

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.  

In other words,  

  • Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.  

In other words,  

  • Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k

k=0

so

Thus, the range of the function f(x) is:

\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

7 0
3 years ago
Carson and Jayden kept track of how many miles they ran during one week. Carson ran a total of 43 miles, which was 12 miles more
kozerog [31]

Answer:

31

Step-by-step explanation:

So the answer is 31 because

Carson ran 43

Jayden ran 12 miles less

so subtract 43-12=31

7 0
2 years ago
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