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2 years ago

I need help with this question

Mathematics

2 answers:

S_A_V [24]2 years ago

4 0

Answer:

Step-by-step explanation:

BigorU [14]2 years ago

3 0

Sa: 712ft^2

V: 1248ft^3

b. Surface area
c. Volume

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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:

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

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:

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

And for this case we want to find this probability:

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

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:

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

7 0

4 years ago

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Determine the graph of the equation y=20(0.8)^x/3.

otez555 [7]

Answer: it is the 4th graph

Step-by-step explanation:

(-3,25)(0,20)(3,16)(6,12.8)

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3 years ago

Three friends each have some ribbon Carol has 42 inches of ribbon title has 2.5 feet of ribbon and Baxter has 1.5 yards of ribbo

jolli1 [7]

Title has 2.5 feet, 30inches,0.33 yards
Bax has 1.5yards,54inches,4.5feet
and carol has 42 inches 1.1667 yr and 3.5 feet of ribbonthere total is 126 inches 3.50 yards and 10.5 feet of ribbon

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3 years ago

Select all the ratios equivalent to 8:6. A. 4:3 B. 6:8 C. 16:12 D. 10:8 E. 7:5

omeli [17]

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Answer:

A, C

Step-by-step explanation:

The given ratio can be reduced by removing a factor of 2 from each element.

8 : 6 = 4 : 3 . . . . matches A

It can be put in other forms by multiplying each element by the same factor. Using a factor of 2 on the original ratio values, we get ...

8 : 6 = 16 : 12 . . matches C

Any ratio that doesn't reduce to the integer ratio 4 : 3 is not equivalent. The ratio with elements reversed (3:4) is not equivalent.

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3 years ago

A polynomial has one root that equals 2+i.Name one other root of this polynomial.

weeeeeb [17]

2-i. Complex roots always come in pairs (complex conjugates)

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3 years ago

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