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mixas84 [53]
3 years ago
10

If it rains ​tomorrow, the probability is 0.6 that John will practice his cello. If it does not rain ​tomorrow, there is only a

0.4 chance that John will practice. Suppose the chance of rain tomorrow is 70​%.
What is the probability that John will practice his cello​?
Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

The final probability is the weighted average of the playing probabilities calculated over the possible weather options:

P(john practices cello; given that it rains) * P(it rains) +

P(john practices cello; given that it does not rain) * P(it does not rain) =

0.6 * 0.7 + 0.4 * 0.3 = 0.54

The probability is 54%

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What is the value of log625^5 converted to a fraction
Anettt [7]

Answer:

1/4

Step-by-step explanation:

625^x = 5

x = 1/4

8 0
3 years ago
Which of the following is parallel to the line 2x+4y=16
k0ka [10]

Answer:

Option C: y=-1/2x + 8

Step-by-step explanation:

So we have the options:

A) y=2x+5

B) y=-1/2x+4

C)y=-1/2x+8

D)y=-2x+5

But first let's define what parallel even is. When two lines are parallel it means that there slope is the same value and the same sign, while there y-intercepts are different, because if they were the same, then they wouldn't be parallel, they would just be the same exact line.

So we're given the equation in standard form. To find the slope we can change it so it's in the form of y=mx+b. This can be done by simply isolating y. The reason we want it in the slope-intercept form is because m represents the slope and b represents the y-intercept. m is the slope because as x increases by 1 the y-value will increase by m. So the "rise" will be m and the "run" will be 1, thus the slope will be m/1 or in other words m because the slope is defined as rise/run. So let's start the steps to isolating y

Original equation

2x+4y=16

Subtract 2x from both sides

4y=-2x+16

Divide both sides by 4

y = -1/2x + 4

Here we have it in slope-intercept form. In this case the slope, or m, is -1/2 and the y-intercept or b is 4. So now let's look at the other equations.

Option A: This equation has a slope of 2, which is not the same as -1/2 so it is not parallel

Option B: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. But look at the y-intercept it's 4, that's the same y-intercept as the original equation. This means the two equations are equal and not parallel

Option C: This equation has a slope of -1/2 which is the same as -1/2 so it might be parallel. It has a y-intercept of 8 which is not the same as 4, so the two lines are parallel and not equal! This is the answer

6 0
2 years ago
How to solve P=144p over y for p
Archy [21]

P = 144 p

---------------------------

3.141632

?????

is that what you mean

7 0
3 years ago
Math question, note: there are two answers!!
stiks02 [169]

The answer is A and B.  I showed my work below.  I hope it makes sense.  Let me know if you have any questions.

5 0
3 years ago
Can someone help me figure this out
Setler79 [48]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

It is told that, 330 students that are surveyed, are 9th graders.

Hence, 0.55 represents 330 students, that is 1 represents \frac{330}{0.55} = 600 students.

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1 ≡ 600

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The percentage of students whose favorite elective is home economics and are also in 10th grade is \frac{0.06}{1} \times100 = 6%.

5 0
3 years ago
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