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3 years ago

7. A group of Ember students went to a campground. While there they cooked and found a

1 answer:

4 0

D. Chemical Energy because the fire has wood and the wood is burning and that is making ashes and also when you light the fire it creates a chemical change cause if you touch it it will burn you and put much damage on you

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Aidan had 40 out of 50 questions correct on the test write the number 4 as a fraction in simplest form

aniked [119]

4 over 5 i think or 40 over 50

7 0

3 years ago

Read 2 more answers

Use multiplication to find 2 equivalent fraction for 3/4 and 4/5

Contact [7]

Equivalent fractions for 3/4 are 6/8 and 9/12

Equivalent fractions for 4/5 is 8/10 and 12/15

7 0

3 years ago

A home security system is designed to have a 99% reliability rate. Suppose that nine homes equipped with this system experience

bulgar [2K]

Answer:

a) $P(X \geq 1) = 1-P(X$

$P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}$

And replacing we got:

$P(X \geq 1) =1 -1x10^{-18} \approx 1$

b) $P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355$

$P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047$

$P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517$

And adding we got:

$P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992$

c) $P(X \leq 8) =1 -P(X>8) = 1-P(X=9)$

$P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517$

And replacing we got:

$P(X \leq 8)= 1-0.913517=0.086483$

Step-by-step explanation:

Let X the random variable of interest "numebr of times that an alarm is triggered", on this case we now that:

$X \sim Binom(n=9, p=0.99)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want to find this probability:

$P(X \geq 1) = 1-P(X$

$P(X=0)=(9C0)(0.99)^0 (1-0.99)^{9-0}=1x10^{-18}$

And replacing we got:

$P(X \geq 1) =1 -1x10^{-18} \approx 1$

Part b

$P(X \geq 7)= P(X=7) +P(X=8)+ P(X=9)$

$P(X=7)=(9C7)(0.99)^7 (1-0.99)^{9-7}=0.003355$

$P(X=8)=(9C8)(0.99)^8 (1-0.99)^{9-8}=0.083047$

$P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517$

And adding we got:

$P(X \geq 7) = 0.003355+0.083047+0.913517 =0.99992$

Part c

$P(X \leq 8) =1 -P(X>8) = 1-P(X=9)$

$P(X=9)=(9C9)(0.99)^9 (1-0.99)^{9-9}=0.913517$

And replacing we got:

$P(X \leq 8)= 1-0.913517=0.086483$

4 0

3 years ago

Frank plans to watch 2 movies each month. Write and equation to represent the total number of movies N that he will watch in M m

Ahat [919]

Answer:

24 movies

Step-by-step explanation:

2x12=24

2 movies

12 months in a year

7 0

4 years ago

Read 2 more answers

Find Side AB and round to the nearest tenth of a decimal

kari74 [83]

Answer:

AB = 8.0

Step-by-step explanation:

Law of Sines

AB/sin53 = 7/sin44

multiply both sides by sin53

AB = 7/sin44 * sin53

use calculator

AB = 8.047766798861355

Rounded

AB = 8.0

7 0

3 years ago