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Makovka662 [10]
2 years ago
12

Which graph represents 2x + 3y < 6?

Mathematics
1 answer:
andrey2020 [161]2 years ago
3 0

A

I believe that I am correct

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4.5 multiplied by -1.7
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-7.65

Step-by-step explanation:

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A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a numb
andrezito [222]

Answer:

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

Suppose we have two events, A and B, that are independent. The probability of both happening is given by:

P(A \cap B) = P(A) \times P(B)

In this question:

Event A: Selecting a prime number.

Event B: Selecting a number less than or equal to 3

Probability of selecting a prime number:

Between 1 and 10, we have 4 prime numbers(2,3, 5 and 7), out of 10. So

P(A) = \frac{4}{10}

Probability of selecting a number less than or equal to 3:

Three numbers(1,2,3) out of 10. So

P(B) = \frac{3}{10}

Probability of both:

P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

5 0
3 years ago
SOLUTION: a diver jumps from a diving board that is 24 feet above the water. the height of the diver is given by h= -16(t-1.5)(t
lara [203]

Answer:

The diver will hit the water at 1.5 seconds

Step-by-step explanation:

Given

h= -16(t-1.5)(t+1)

Required (Missing from the question)

When will the diver hit the water?

To do this, we simply solve for t

When the diver hits the water, the height is 0 (at that point)

So, substitute 0 for h in h= -16(t-1.5)(t+1)

0= -16(t-1.5)(t+1)

Divide both sides by -16

\frac{0}{-16} =\frac{-16(t-1.5)(t+1)}{-16}

\frac{0}{-16} =(t-1.5)(t+1)

0 =(t-1.5)(t+1)

(t-1.5)(t+1)=0

Split

t - 1.5 = 0 or t + 1 = 0

Solve for t

t = 1.5 or t = -1

But time (t) can not be negative.

So:

t = 1.5

Hence, the diver will hit the water at 1.5 seconds

8 0
3 years ago
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