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aalyn [17]
3 years ago
15

Based on surveys, 97% of students own cell phones. What is the probability that 10 randomly selected

Mathematics
1 answer:
yarga [219]3 years ago
7 0

Answer:

<em />Probability = 0.7374<em />

<em />

Step-by-step explanation:

Given

Represent the probability that a student has a phone with p

p = 97\%

Required

Determine the probability that 10 has

This is calculated as thus:

Probability = p^n

Where n = 10

Probability = (97\%)^{10}

Probability = 0.97^{10}

Probability = 0.73742412689

<em />Probability = 0.7374<em> --- Approximated</em>

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Goshia [24]

Answer with Step-by-step explanation:

We are given that

P(A)=0.4 and P(B)=0.7

We know that

P(A)+P(B)+P(A\cap B)=P(A\cup B)

We know that

Maximum value of P(A\cup B)=1 and minimum value of P(A\cup B)=0

0\leq P(A\cup B )\leq 1

0\leq P(A)+P(B)-P(A\cap B)\leq 1

0\leq 0.4+0.7-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)\leq 1

0\leq 1.1-P(A\cap B)

P(A\cap B)\leq 1.1

It is not possible that P(A\cap B) is equal to 1.1

1.1-P(A\cap B)\leq 1

-P(A\cap B)\leq 1-1.1=-0.1

Multiply by (-1) on both sides

P(A\cap B)\geq 0.1

Again, P(A\cup B)\geq P(B)

0.4+0.7-P(A\cap B)\geq 0.7

1.1-P(A\cap B)\geq 0.7

-P(A\cap B)\geq -1.1+0.7=-0.4

Multiply by (-1) on both sides

P(A\cap B)\leq 0.4

Hence, 0.1\leq P(A\cap B)\leq 0.4

3 0
3 years ago
At a 3​-mile ​cross-country race, an athlete runs 2 miles at 6 mph and 1 mile at 12 mph. What is the​ athlete's average​ speed?
Tom [10]

Answer: the average speed is 7.5 mph or at least im pretty sure

Step-by-step explanation:

This is because if you make the 2 miles at 6 mph to 1 mile at 3 mph then you get 1 mile at 3mph and 1 mile at 12 mph. now that you have the unit rates of these you can add them. 1 + 1 = 2 miles and 3 + 12 = 15 mph now divide this by two and you get 7.5 mph per mile.

I hope this helped, if it did could you give me a good rating? lol

8 0
3 years ago
Which of the students found the correct value of their expression? Select all that are true. None of the students Student 2 Stud
Mariulka [41]

Answer:

Step-by-step explanation:

Student 2 and student 1

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3 years ago
On a coordinate grid, both point (−4, −1) and (2, 6) point are reflected across the y-axis. What are the coordinates of the refl
vichka [17]
The reflected points are (4, -1) and (-2, 6).
4 0
4 years ago
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olchik [2.2K]

Answer:

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Step-by-step explanation:

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