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Anna11 [10]
3 years ago
14

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it f

alls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?
A.0
B.0
C.T>5/4
D.-5/4

Mathematics
2 answers:
Hunter-Best [27]3 years ago
7 0

Answer:

0

Step-by-step explanation:

We are given that,

The fall of the acorn is represented by the function,

S(t) =-16t^2+25

Equating S(t) to 0 gives,

0=-16t^2+25

i.e. 16^2=25

i.e. t^{2}=\frac{25}{16}

i.e. t=\pm \frac{5}{4}

Since, time cannot be negative.

So, t=\frac{5}{4} i.e. 1.25 seconds is the time when the acorn will reach the ground.

Thus, from the figure below, we see that,

The interval in which the acorn is in the moving air is 0.

Ivahew [28]3 years ago
5 0

Answer:

b

Step-by-step explanation:

got it on edge

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Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.
oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that P(A) = 0.45

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that P(B|A) = 0.8

What is the probability that the land has oil and the test predicts it?

This is P(A \cap B). So

P(B|A) = \frac{P(A \cap B)}{P(A)}

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