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artcher [175]
3 years ago
8

The area of a rectangle is three times the area of a square. What is the width of the rectangle if it's length is 24 in. and the

side of the square is 12 in?
Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

18 in

Step-by-step explanation:

Area of rectangle = 3 times the area of the square

Area of square = a² ; a = side length

a = 12 in

Area of square = 12² = 144 in²

Area of rectangle = 3 * 144 = 432 in²

Length of rectangle = 24 in

Width = x

Area of rectangle = length * width

432 = 24 * x

x = 432 / 24

x = 18 in

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The usher at a wedding asked each of the 80 guests whether they were a friend of the bride or of the groom. Here are the results
Artyom0805 [142]

Answer: P(B|G) = 3/5 = 0.6

the probability that the guest is the friend of bride, P(bride | groom) is 0.6

Complete Question:

The usher at a wedding asked each of the 80 guests whether they werea friend of the bride or of the groom. The results are: 59 for Bride, 50 for Groom, 30 for both. Given that the randomly chosen guest is the friend of groom, what is the probability that the guest is the friend of bride, P (bride | groom)

Step-by-step explanation:

The conditional probability P(B|G), which is the probability that a guest selected at random who is a friend of the groom is a friend of the bride can be written as;

P(B|G) = P(B∩G)/P(G)

P(G) the probability that a guest selected at random is a friend of the groom.

P(G) = number of groom's friends/total number of guests sample

P(G) = 50/80

P(B∩G) = the probability that a guest selected at random is a friend is a friend of both the bride and the groom.

P(B∩G) = number of guests that are friends of both/total number of sample guest

P(B∩G) = 30/80

Therefore,

P(B|G) = (30/80)/(50/80) = 30/50

P(B|G) = 3/5 = 0.6

5 0
3 years ago
Read 2 more answers
A particle moves along the x-axis so that at time t its position is given by s(t) = (t + 1)(t - 3)3, t > 0. /p>For what va
Zepler [3.9K]

Given the position function, the velocity function is obtained by taking the derivative:

s(t)=(t+1)(t-3)^3\implies v(t)=(t-3)^3+3(t+1)(t-3)^2

The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:

a(t)=4(t-3)^3+3(t-3)^2+6(t+1)(t-3)

To find when a(t)>0, we first need to know where a(t)=0:

4(t-3)^3+3(t-3)^2+6(t+1)(t-3)=(t-3)\bigg(4(t-3)^2+3(t-3)+6(t+1)\bigg)=(t-3)(4t^2-15t+33)=0

The quadratic factor is always positive (its discriminant is negative), which leaves one solution at t=3. To either side of t=3, we have, for instance,

a(2)=-12

a(4)=36>0

which indicates that v(t) is increasing for t>3, making the answer A.

5 0
3 years ago
. only answer if you will actually help pls!!!!!!!!
xxMikexx [17]

Answer:

5820 square inches

Step-by-step explanation:

For the rectangular prism in the middle:

24*30=720*2=1140

10*30=300*2=600

1140+600=1740

For the left triangular prism:

10*24=240

26*30=780

24*30=720

10*30=300

240+780+720+300=2040

For the other right triangular prism, it's the same.

Let's add now to find the surface for the whole ramp.

1740+2040+2040=5820

Hope this is helpful to you

7 0
3 years ago
0.5x = 16 for x using the division property of equality.
Anna11 [10]

Answer:

32

Step-by-step explanation:

0.5x = 16

divide 0.5 from both sides to get variable by itself since it is the inverse operation of 0.5x

x=32

6 0
3 years ago
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Given f(x) = 17(3+x) what is the value of f(-2)
Scrat [10]

Answer:

Step-by-step explanation:

f ( x ) = 17 ( 3 + x )

f ( -2 ) = 17 ( 3 + -2 )

f ( -2 ) = 51 + -34

f ( -2 ) = 17

= 17

6 0
3 years ago
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