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2 years ago

How to do two step inequalities

1 answer:

3 0

If I were you, I would search it up on VirtualNerd but you first undo using the opposite of PEDMAS and if you divide or multiply with a negative integer, the direction of the inequality thing in the middle of the equation switches directions.

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The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

2 years ago

What percent of 50 is 9?

d1i1m1o1n [39]

9 is 18% of 50. So, 50 percent also written as 50% means 50 out of 100 parts. Since there are exactly two 50s in 100, fifty percent is the same number as one half. 50 percent=0.5 in but as a fraction, its 1/2.

8 0

2 years ago

The temperature has been dropping 2 1/2 degrees every hour and the current temperature is -15°f. How many hours ago was it 0°f?

beks73 [17]

Answer:

6 hours ago

Step-by-step explanation:

6 hrs x 2.5 degrees = 15 degrees

5 0

1 year ago

8. Bella has 6.3 kilograms of berries. She packs 0.35 kilogram of berries into each

vovangra [49]

Answer:

If my math is correct it should be $53.82

Step-by-step explanation:

You Divide 6.3kg by 0.35kg that would give you 18. Then you multiply $2.99 by 18 and that should get you $53.82

7 0

2 years ago

Please help!

Art [367]

Answer:

I believe it is C. The square root of 47

Step-by-step explanation:

Because the distance from her house to the pool is about 6 and the square root of 47 is 6.8

5 0

2 years ago

Read 2 more answers