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Mathematics

1 answer:

evablogger [386]2 years ago

8 0

Answer:

not sure

Step-by-step explanation:

6-4 =2

2*9=18??

I'm not sure, since that was simple math, can you clarify by what you meant the difference of 6 and 4.

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HELP! PLEASE! I really need help with this question!

LekaFEV [45]

Answer:

They are at the same height at 1.13 seconds.

Step-by-step explanation:

Remark

The rockets are at the same height when f(x) = g(x) [see below] are the same. So you can equate them.

Givens

f(x) = - 16x^2 + 74x + 9

g(x) = -16x^2 + 82x I have changed this so you don't have 2 f(x)s

Solution

f(x) = g(x)
-16x^2 + 74x + 9 = -16x^2 + 82x Add: 16x^2 to both sides
-16x^2+16x^2+74x + 9 = -16x^2+16x^2 + 82x Combine terms
74x + 9 = 82x Subtract 74x from both sides
74x - 74x + 9 = 82x - 74x Combine
9 = 8x Divide by 8
9/8 = 8x/8
x = 1 1/8 Convert to decimal
x = 1.125
x = 1.13 [rounded]

6 0

3 years ago

If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au

Marta_Voda [28]

Answer:

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

And we can find the individual probabilities using the probability mass function

$P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826$

$P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305$

And replacing we got:

$P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:

$X \sim Binom(n=8, p=0.9)$