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Snezhnost [94]
3 years ago
5

One side of a rectangle is 4 inches longer than the other side. The area of the rectangle is 21 square inches. Find the lengths

of each side.
Mathematics
1 answer:
hammer [34]3 years ago
5 0

Answer:

l = 7 in; w = 3 in

Step-by-step explanation:

The formula for the area of a rectangle is

A = lw

Data:

A = 21 in²

l = w + 4

Calculation:

                 21 = (w + 4) × w

                 21 = w² + 4w

w² + 4w - 21 = 0

(w + 7)(w - 3) = 0

w + 7 = 0     w - 3 = 0

      w = -7         w = 3

We reject the negative value, so w = 3 in.

21 = l × 3

l = 7

The rectangle is 7 in long and 3 in wide.

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Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

a)

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

b)

The  standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

c)

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

d)

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0
3 years ago
HELP ME 35 1/4 + 12 7/12
ZanzabumX [31]
The answer to this question is 48.
7 0
3 years ago
Is 52ft greater than or less than 912in
viktelen [127]
52 ft is less than 912.

There is 12 inches in a foot, so I did 52 x 12 = 624. 624 is less than 912.
6 0
3 years ago
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14. Use the given degree of confidence and Sample data to construct a confidence interval for the population mean. Assume that t
nirvana33 [79]

Step-by-step explanation:

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Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 9 degrees of freedom, CV = 2.262.

SE = s / √n

SE = 3.3 / √10

SE = 1.04

The margin of error is:

ME = 2.262 × 1.04

ME = 2.36

CI = 8.7 ± 2.36

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7 0
3 years ago
95°<br> 6rº + 47°<br> r_ degrees
e-lub [12.9K]

Answer:

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Step-by-step explanation:

95° = 6r° + 47° ( vertically opposite angles are equal)

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r = 48°/6

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