In a 12-hour period of time, a drawbridge opens 8 times, holding traffic for 15 minutes each time. If a car approaches the bridge during this 12-hour time, find the probability that the bridge is open.

Answer:

Answer: 105

Step-by-step explanation:

In a recent survey of 700 people, 15% said that red was their favorite colour. 105 people said read was their favorite colour.

Answer:

105

Step-by-step explanation:

Answer:

the area of a triangle is 9 because 4.24 times 4.24 equals 17.9776 estimated is 18 divided by 2 is 9 times 4 is 36. Now we divide 36 by 2 so we know what the area of the two trapezoids so we know the top and the bottom which is 18. The area of the square in between the triangles is 4.24 times 6 which is 25.22 estimated is 26. Now we add 26 with 18 which is 34. Now we have to find the area of the rectangle to do this we need to multiply 7.24 and 2 we need to do this so we know the length of the rectangle which is 14.48 estimated is 14. Now that we know the length we multiply it with the height which is 6, 14 times 6 equals  84.

84 is the rectangles area and the area for the trapezoids is 36.

84 plus 18 plus 18 equals 120 squared

Answer:

the answer should be false..

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

I think the inequality is less than or equal to (here what the sign looks like ≤ )

Answer:

Answer is A

Step-by-step explanation:

you first take the same like terms

8c+6-3c-2

8c and -3c are like terms 8c-3c=5c

+6 and -2 are like terms 6-2=4

5c+4

Answer:

The answer is C.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The height is 11 inches.

Given what we know, we can confirm that the perimeter of the image is  9 units.

Therefore, given that  [tex]15units * \frac{3}{5} = 9 units[/tex], we can confirm that the perimeter of the image is 9 units.

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Answer:

9xy-3x-3y+1

Step-by-step explanation:

3y(3x-1)-1(3x-1)

Answer:

Step-by-step explanation:

90

Based on the information, the value of the piano after 16 years is $140.74.

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Using this formula to find the value of the piano, v, after t years.

CP = Principal(1-rate)[tex]^t[/tex]

Where:

Principal=$5,000

Rate=20%

Number of year = 16 years

Let plug in the formula;

=5,000(1-0.20)^16

=5,000(.80)^16

=$140.737

= $140.74 (Approximately)

Hence, the value of the piano after 16 years is; $140.74.

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Answer:

C would be your answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin Ф equal the opposite leg of the triangle dividend by the hypotenuse

sin Ф = opp / hyp

the problem gave you the Ф (the angle 7°)

and the length of the hypotenuse (the walking surface 60 inches)  

You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface

sin 7 = opp / 60          solve for opp

60 × sin(7) = opp             use your calculator,   I don't have one handy

Answer:

1

Step-by-step explanation:

(-1)^2 = 1

(-1)^3 = -1

(-1)^5 = -1

(1) (-1) (-1) = 1

Answer:

The multiplication of 5(6) and 5(3) will each be done before you add.

5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.

Step-by-step explanation:

hope this helps...

have a nice weekend ヽ(ヅ)ノ

oh and if i was supposed to follow something sorry cuz i can't see the pic...

Answer:

5/6= 10/12

12/100<10/12

Answer:

0<x<2.5

Step-by-step explanation:

-16x^2+38x+5 = 0

-16x^2+40x-2x+5 = 0

ROUGH WORK

[Product=-16×5=-80, Sum=38. (Product=40×-2, Sum=40-2) (40&-2)]

BACK TO EXPLAINATION

-8x(2x-5)-1(2x-5) = 0

x = -1/8, 2.5

0<x<2.5

Answer: 12

Step-by-step explanation:

Answer:

V =  1010 sq cm.  to 3 significant figures

Step-by-step explanation:

V = [tex]\frac{1}{3} pi 8^{2} (15)[/tex]

   = [tex]\frac{\pi 64(15)}{3}[/tex]

   =  1005.309649,,,

V =  1010 sq cm.  to 3 significant figures

Answer:

-2.

Step-by-step explanation:

4 x -2 = -8.

Answer:

[tex](x - y) \times (x + y)( {x }^{2} + {y}^{2} )[/tex]

Step-by-step explanation:

[tex](x ^{2} - y ^{2} ) \times (x ^{2} + y ^{2} )[/tex]

[tex] ({x} - y) \times (x + y) \times {x }^{2} + y ^{2} )[/tex]

Answer:

75%

Step-by-step explanation:

Let x be the percentage for sports club members.

x% of 20 = 15

x/100 x 20 = 15

x/5 = 15

x = 75

Answer:

2144.7

Step-by-step explanation:

Volume of a sphere is V= [tex]\frac{4}{3} \pi r^{3}[/tex]

V= [tex]\frac{4}{3} \pi 8^{3}[/tex]

V=(4 /3)·π·8^3≈2144.66058 --> 2144.7

Answer:

Yes

Step-by-step explanation:

Answer:

Sum: 0.78619≈0.786

Step-by-step explanation:

n=4

r=1, 2, 3, 4

r=1,2,3,4

"At least" counts up.

p=32\%=0.32

p=32%=0.32

q=1-0.32=0.68

q=1−0.32=0.68

The chance a success does NOT occur.

_{n}C_{r}p^rq^{n-r}

The probability that at most one of their six children will have that trait is 0.68

From the question, the given parameters are

Number of children, n = 6

Probability of a child with the trait, p = 37%

The required probability that at most one will have that trait is represented as P(x ≤ 1)

This probability is calculated ;

P(x ≤ 1) = P(0) + P(1)

Where

P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ

So, we have

P(x ≤ 1) = ⁷C₀ (37%)⁰  (1 - 37%)⁷⁻⁰ + ⁷C₁  (37%)¹  (1 - 37%)⁷⁻¹

Evaluate;

P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶

So, we have;

P(x ≤ 1) = 1-0.32= 0.68

Hence, the probability is 0.68

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Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, I will solve using the following assumptions.

Job A:

[tex]y = 2x + 5[/tex]

Job B

[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]

The first step is to calculate the rate of Job B using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where:

[tex](x_1,y_1) = (1,6)[/tex]

[tex](x_2,y_2) = (2,10)[/tex]

So, we have:

[tex]m = \frac{10 - 6}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

[tex]m = 4[/tex]

So, the hourly rate of job B is $4/hr

For Job A:

[tex]y = 2x + 5[/tex]

A linear equation has the form:

[tex]y = mx + b[/tex]

Where m is the rate

By comparison:

[tex]m = 2[/tex]

So, the hourly rate of Job A is $2/hr

Comparing both rates, we can draw the following conclusions;

Answer:

Kamogelo walks Faster

Step-by-step explanation:

1.25 km is less distant and in twenty five minutes it is fast enough.

Answer:

D and e

Step-by-step explanation: