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3 years ago

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Help!! need answer now! Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph sh

ows the relationship between her altitude and time. How long does it take for her to be half way between the plane and the ground?

2 answers:

liq [111]3 years ago

7 0

Answer:

1 minute.

Step-by-step explanation:

When the distance is 500, the time is 1 minute.

babymother [125]3 years ago

5 0

Answer:

Option 2 - 1 minute

Step-by-step explanation:

Given : Michelle jumps from a plane at an altitude of 1000 m. After 10 seconds her parachute opens. The graph shows the relationship between her altitude and time.

To find : How long does it take for her to be half way between the plane and the ground?

Solution :

Total altitude is 1000 m.

Half of the way between plane and the ground is

$\frac{1000}{2}=500m$

Now, Referring the graph given at an altitude of 500 m the line passes at time t=1 min.

Therefore, The time taken to be half way between the plane and the ground is 1 min.

Hence, Option 2 is correct.

Refer the attached figure below.

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(Anderson, 1.14) Assume that P(A) = 0.4 and P(B) = 0.7. Making no further assumptions on A and B, show that P(A ∩ B) satisfies 0

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

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