MATHEMATICS HIGH SCHOOL

Which of the following is a solution to the quadratic equation below? x^2+x-56=0

a.2
b.-55
c.-8
d.28

Answers

Answer 1
Answer: There are two solutions to that quadratic quation: -8 and 7, but as there is only one in answers, you need to pick C.

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In Mr. Smith's 7th Hourclass there are 16 boys and
7 girls. What is the
probability of randomly
selecting a boy?

Answers

binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22

(assuming children are independent and male and female are equally likely)

| probability

less than 16 boys | 0.9534

16 or less boys | 0.9827

more than 16 boys | 0.01734

16 or more boys | 0.04657

fraction of boys | 16/(16 + 7) ≈ 0.695652

fraction of girls | 7/(16 + 7) ≈ 0.304348

expected value | 11.5

standard deviation | 2.398

variance | 5.75

11.5

The length of a side of an equilateral triangle is 40 centimeters.What is the length of the altitude of the triangle?

Answers

Answer:

34.64 cm

Step-by-step explanation:

sin 60 = (x)/(40)

sin 60 (40) = x

34.64 = x

equilateral triangles have 60° angles.

sin Ф = (opposite)/(hypotenuse)

hypotenuse is 40. All sides are 40.

x = opposite or height of triangle.

How do I solve this problem 7x<14 and 1-x<4

Answers

x<2 and x>-3 => x∈(-oo, 2) and x ∈(-3,+oo )=> x∈(-3, 2).

7x < 14

x < 14/7

x < 2

x ∈ (-oo ; 2)

1 - x < 4

1 - 4 < x

- 3 < x

x > - 3

x ∈ (- 3 ; + oo)

_____(.__.__.__.__.__.)____

-oo   - 3             0         2

x ∈ (- 3 ; 2 )

In the past 4 years, a sporting goods store had two yearly losses of $110,000 and $22,000 and two yearly profits of $140,000 and $80,000. What was the net profit or loss over 4 years?

A.
–$132,000

B.
–$88,000

C.
$88,000

D.
$220,000

Answers

If you would like to know what was the net profit or loss over 4 years, you can calculate this using the following steps:

- $110,000 - $22,000 + $140,000 + $80,000 = - $132,000 + $220,000 = $88,000

The correct result would be C. $88,000.

The fastest elevators in the Burj Khalifa can travel 330 feet in just 10 seconds. How far does the elevator travel in 12 seconds?

Answers

Answer:

The elevator will travel 396 feet in 12 seconds.

Step-by-step explanation:

10 secs = 330ft

330/10 = 33

10 * 33 = 330

Hence,

12 * 33 = 396

12 secs = 396 ft

Hope this helps :)

Answer:

The answer is 396 feet per second.

Step-by-step explanation:

1) If it travels 330 feet in 10 seconds: 330 divided by 10 = 33 feet per second.

2) It travels at 33 feet per second, for 12, seconds, so then you just need to multiply 33 x 12, to get 396 feet per second, and that's your answer.

Hope this helps! Feel free to give me Brainliest if you feel this helped. Have a good day, and good luck on your assignment. :)

A regular hexagon has sides of 5 feet. What is the area of the hexagon

Answers

a=5ft\n\nArea\ of\ the\ haxagon:A=6\cdot(a^2\sqrt3)/(4)=(3a^2\sqrt3)/(2)\n\nA=(3\cdot5^2\sqrt3)/(2)=(3\cdot25\sqrt3)/(2)=(75\sqrt3)/(2)\ (ft^2)
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