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andriy [413]
4 years ago
6

What is the probability that, in a random sample of five north american adults, all watch television for more than 7 hours per d

ay?
Mathematics
1 answer:
tensa zangetsu [6.8K]4 years ago
4 0
1/1.5 = .666 so, 0.7486
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PLEASE HELP MEE! the table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it tak
Alla [95]
By definition it is known that speed equals the distance between time.
 Therefore, according to the definition, the last two options are the possible answers:
 Let's evaluate the third option:
 y = (3/2) * (1 / x)
 x = 12
 y = (3/2) * (1/12) = 3/24 = 1/8
 The table is not fulfilled
 Let's evaluate the fourth option:
 y = (96 / x)
 x = 12
 y = (96/12) = 8
 Yes, the table is met.
 answer:
 y = (96 / x)
3 0
4 years ago
Read 2 more answers
You put $550 into your account freshman year. The account was compounded continuously with an interest rate of 4.5%. How much mo
Vera_Pavlovna [14]

Answer:

bight BBC cczgvxgbcztv

8 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
Step by step explanation
vodka [1.7K]

Answer: x = 4 and y = -3

Step-by-step explanation:

2x + 4y = -4

2x = -4 - 4y

x = -2 - 2y

Now that we have solved the first equation for x, we plug (-2 - 2y) into the other equation in place of x and then solve for y.

3(-2 -2y) + 5y = -3

-6 - 6y + 5y = -3

-y = 3

y = -3

Now that we know y, we plug it into the original equation and solve for x.

2x + 4(-3) = -4

2x + -12 = -4

2x = 8

x = 4

You can check the answer by plugging both x and y into either of the original equations.

4 0
3 years ago
jim is selling greeting cards at a booth at a folk fair. he will be paid $12 plus $2 for each box that he sells how many boxes m
3241004551 [841]

Answer: 3 boxes

Step-by-step explanation:

If each box is 12, 3 Times 12 is 36 plus the 2 for each box gives you 42

8 0
3 years ago
Read 2 more answers
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