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2 years ago

The Distributive Property

Mathematics

2 answers:

Olenka [21]2 years ago

8 0

Answer:

1. 30

2. -10

3. 48

Step-by-step explanation:

So for #1 I did:

3*2(6)+3*8(24) which equals 30

For #2 I did:

-5*4(-20)- -5*2(-10) which equals -10

For #3 I did:

8*10(80)-8*4(32) which equals 48

Also brainliest

Also sub to pewdiepie

daser333 [38]2 years ago

4 0

1. 5+24=29
2. -20-10= -30
3. 80+40=120

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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

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

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2 years ago

Evaluate the expression 9x , when x= 4, 7, and 2.5

satela [25.4K]

Step-by-step explanation:

When x = 4,

9x=9×4=36

When x = 7,

9x = 9×7 =63

When x = 2.5

9x = 9×2.5 = 23.5

PLEASE GIVE BRAINLIEST.

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2 years ago

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DedPeter [7]

Answer:

NO WAIT NO IGNORE MY PREVIOUS ANSWER

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2 years ago

Increase £14187.13 by 14.5%

zhenek [66]

Answer:

16,244.26

Step-by-step explanation:

14,187.13 + (14.5% × 14,187.13) =

14,187.13 + 14.5% × 14,187.13 =

(1 + 14.5%) × 14,187.13 =

(100% + 14.5%) × 14,187.13 =

114.5% × 14,187.13 =

114.5 ÷ 100 × 14,187.13 =

114.5 × 14,187.13 ÷ 100 =

1,624,426.385 ÷ 100 =

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