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schepotkina [342]

3 years ago

7

The product of the consecutive integers is 72. The equation xx+1) = 72 represents the situation where z represents

1 answer:

Dominik [7]3 years ago

6 0

Answer:

2+2x-72=0

Step-by-step explanation:

You might be interested in

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

Alex17521 [72]

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:

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

3 0

3 years ago

Read 2 more answers

analyze the diagram below and complete the instructions that follow . find the value of z. A.11 B.32 C.50 D.68

masha68 [24]

Answer:

50

Step-by-step explanation:

x = √30² - 18² = √576 = 24

tan A = 18/24 = 3/4

∠A = ∠B

tan B = tan A = 24 / y = 3 / 4

y = (24 x 4) / 3 = 32

Z = y + 18 = 32 + 18 = 50

3 0

3 years ago

Average rate of change

MaRussiya [10]

Answer: the rate of change is 3

Step-by-step explanation:

5 0

3 years ago

My neighbour has lived all over the world. I asked how old are you? He said " I lived 1/4 of my life in China, 1/6 of my life in

drek231 [11]

$\frac{1}{4}x+\frac{1}{6}x+\frac{1}{2}x+22=x|\cdot12\\
3x+2x+6x+264=12x\\
x=264

$

I guess there's a mistake in the question.

6 0

3 years ago

ਕind me<br>When x = 4 and y = 3, find the value of:<br>a) 2x + 7y - 10

Andre45 [30]

Answer:

19

Step-by-step explanation:

by replacing x and y with their given values ,

we get :-

=》2x + 7y - 10

=》(2 × 4) + (7 × 3) - 10

=》8 + 21 - 10

=》29 - 10

=》19

5 0

3 years ago