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enot [183]
3 years ago
10

John, Paul, and Sonia all attend the same school, but are in different grades. John is in the 6th grade, Paul in 7th, and Sonia

in 8th. John get homework 65% of the time, Paul get homework 80% of the time, and Sonia get homework 85% of the time. Factoring all three students into the probability, what is the probability that on any given day only John gets homework
Mathematics
1 answer:
Mariulka [41]3 years ago
3 0

Answer:

0.0195 = 1.95% probability that on any given day only John gets homework

Step-by-step explanation:

What is the probability that on any given day only John gets homework?

John has a 65% probability of getting homework.

Paul has a 100 - 80 = 20% probability of not getting homework.

Sonia has a 100 - 85 = 15% probability of not getting homework.

Since these events are independent, the probability is the multiplication.

0.65*0.2*0.15 = 0.0195

0.0195 = 1.95% probability that on any given day only John gets homework

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3 years ago
Remember I’ll give brainliest This is the reposted question, I need help with number three
AURORKA [14]

Answer:

x is three the ratio show you what you need to divide by so triangle a is 3 and triangle b is 8 times larger than triangle a.

Step-by-step explanation:

7 0
4 years ago
The ratio of the measures of the three angles in a triangle is 2:9:4. Find the measures of the angles. ​
Alex777 [14]

Answer:

Let the three angles be 2x,9x & 4x

By the problem,2x+9x+4x=180

15x=180

x=180/15

x=12

there fore the angles are

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Step-by-step explanation:

8 0
3 years ago
If PQR ≈ STU complete each part
Andreyy89

Answer:

3 = 21 degrees

5 = 21 degrees

1 = 60 degrees

2 = 39 degrees

4 = 39 degrees

Step-by-step explanation:

This problem is really quite easy once you break it down. I assume you want an answer based on the attachment. If a triangle is Isosceles, then its bottom two angles are congruent, so angle 3 = angle 5.

Then, 138 degrees + x * 2 = 180 degrees.

x * 2 = 42 degrees

x = 21 degrees

So 3 and 5 are each 21 degrees

If a triangle is equilateral, then it is also equiangular, meaning each of its angles are equal to each other, and they are each 60 degrees. Then, we know angle 1 is 60 degrees. For 2 and 4, we want to take the measure of the combination of 2 and 3 (the full 60 degrees), and subtract it by the measure of angle 3 to get the measure of angle 2. 60 - 21 = 39 degrees. Angle 2 is 39 degrees. The same can be done with angle 5 and 4 because they are the same measurements.

3 0
3 years ago
A shipping container will be used to transport several 120-kilogram crates across the country by rail. The greatest weight that
Kitty [74]

Answer:

101

Step-by-step explanation:

The leftover weight that can be put onto the container (x)

x = 24500 - 12300

x = 12200

The amount of crates that can be hauled into the container

x = 12200 / 120

= 101.6667

We need a whole number so we round down.

= 101

:)

5 0
2 years ago
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