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2 years ago

The width of a rectangle is 3 inches less than half of the length. The length is 27 inches. What is the area of

Mathematics

2 answers:

dalvyx [7]2 years ago

5 0

Answer:

10.5

Step-by-step explanation:

27 / 2 = 13.5, 13.5 - 3 = 10.5

gavmur [86]2 years ago

4 0

10.5 would be the answer even though it’s already answered

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Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city. Find

Sav [38]

Answer:

12.76% probability that there is exactly 1 reported crime on any given day.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Statistics from the Riverside Police Department show that in the last 12 years there were 648 reported crimes in the city.

Each year has 365 days. We want the mean for a day. So

$\mu = \frac{648}{12*365} = 0.1479$

Find the probability that there is exactly 1 reported crime on any given day.

This is P(X = 1).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 1) = \frac{e^{-0.1479}*(0.1479)^{1}}{(1)!} = 0.1276$

12.76% probability that there is exactly 1 reported crime on any given day.

6 0

3 years ago

HELP ME PLEASE 100 POINTS

Ghella [55]

Answer:

#1) 4; #2) 12 inches; #3) (-0.8, 2.4); #4) (3.5, 8.75); #5) 32 inches by 64 inches

Explanation:

#1) To get the image points, each pre-image point was multiplied by 4. This means that the scale factor is 4.

#2) The perimeter of GAME is 177. We know that three of the sides are 35, 56 and 56. This means the fourth side, GA, would be

177-(35+56+56) = 177-147 = 30 inches

This means that GA to G'A' would have the same ratio as ME to M'E'; this gives us the proportion

$\frac{35}{14}=\frac{30}{x}$

Cross multiplying, we have

35(x) = 14(30)

35x = 420

Divide both sides by 35:

35x/35 = 420/35

x = 12

#3) To find the coordinates of I', we multiply the coordinates of I by the scale factor:

I' = (-2(2/5), 6(2/5)) = (-4/5, 12/5) = (-0.8, 2.4)

#4) To find the coordinates of S', multiply the coordinates of S by the scale factor:

S' = (2(7/4), 5(7/4)) = (14/4, 35/4) = (3.5, 8.75)

#5) The generic version is 3/8 the size of the brand name version. This means that the brand name version is 8/3 of the generic version. To find the dimensions of the brand name version, we multiply the dimensions of the generic version by 8/3:

12(8/3) = 96/3 = 32

24(8/3) = 192/3 = 64

The dimensions of the generic version are 32 by 64.

4 0

3 years ago

List the next three terms in the following sequence: 1, 2, 4, 7, 11, 16,...

Fofino [41]

All you have to do in this problem is just find the pattern in the sequence. So like how did you get from 1 to 2. Then you continue to ask the question again like how did you get from 2 to 4.

3 0

3 years ago

I need your help guys help me differentiate this question

Elden [556K]

Answer:

$6((4 {x}^{3} - 5x + 1) ^{ - 4} + 4 {x}^{10} + 4) ^{5} \times (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9}$