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vichka [17]
3 years ago
11

The probability that a train leaves on time is .07. The probability that the train arrives on time and leaves on time is 0.56. W

hat is the probability that the train arrives on time, given that it leaves on time?
Mathematics
2 answers:
insens350 [35]3 years ago
6 0
Refer to the other answer.
Makovka662 [10]3 years ago
3 0
Event A: leave on time  P(A) = 0.7
Event B: arrive on time  P(B) = ?
Both: P(A)*P(B) = 0.56  -> P(B) = 0.8

I'm assuming you are typing the number wrong for event A
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A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip upstream took 14 hours. What is the s
Alexeev081 [22]

x - boat speed; y - current speed; Path = 336:2 = 168 miles

1) 12 * (x + y) = 168; -> x + y = 14;

2)  14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

3 0
3 years ago
The point P(8, 6) is on the terminal side of θ. Evaluate sin θ.
vladimir2022 [97]
Ok so let me help you with this. Here is the procedure:
 <span>r² = x² + y² = 8² + 6² = 100 
r = 10 
x = r cosθ 
y = r sinθ 
sinθ = y/r = 6/10 = 3/5
</span>Hope this is what you are looking for
3 0
3 years ago
Read 2 more answers
Find the area of a 120° sector of a circle whose radius is 6.
katrin [286]
First, determine the area of the whole circle by the equation, A = πr². Substituting,
                             A = π(6²) = 36π
Then, multiply this value with the ratio of the given angle to the whole revolution,
                            A(sector) = 36π x (120° / 360°)
The area of the sector is therefore 12π units².
3 0
3 years ago
Molly tried to evaluate 93\times5193×5193, times, 51 using partial products. Her work is shown below.
Mrac [35]

Since molly's solution tally's with the given solution, hence <em>Molly's solution is correct.</em>

Given the working on a partial product of 93 and 51 carried out by Molly as shown:

\begin{array}{llrr} &&93 \\ &&\underline{{}\times51} \\ &\blueD{\text{Step 1}}&\blueD{3}& \blueD{1\times3\text{ ones}}\\ &\greenD{\text{Step 2}}&\greenD{90}& \greenD{1\times 9\text{ tens}}\\ &\maroonD{\text{Step 3}}&\maroonD{150}& \maroonD{50\times 3\text{ ones}}\\ &\goldE{\text{Step 4}}&\underline{{}+\goldE{ 4{,}500}}& \goldE{50\times 9\text{ tens}}\\ &\purpleD{\text{Step 5}}&\purpleD{4{,}743}& \end{array}​

This partial product can also be solved as shown below:

93 \times 51 = (90+3)\times (50+1)

Applying the distributive law:

93 \times 51 = 90(50) + 90(1) + 3(50) + 3(1)\\93 \times 51 =4500 + 90 + 150 + 3\\93 \times 51 =4500+240+3\\93 \times 51 =4740+3\\93 \times 51 =4743

Since molly's solution tally's with the given solution, hence <em>Molly solution is correct.</em>

Learn more about partial product at: brainly.com/question/24716925

5 0
2 years ago
Lin solved the equation 8 (x - 3) +7= 2x (4 - 17) incorrectly.
svet-max [94.6K]

Answer:

Her final answer should have been x = 1/2.

Step-by-step explanation:

Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.

Correct solution:

8(x-3)+7=2x(4-17)

8x-24+7=8x-34x

-17=-34x

The negatives on both sides cancel each other out

x = 1/2

5 0
3 years ago
Read 2 more answers
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