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d1i1m1o1n [39]
3 years ago
8

In a randomly generated list of numbers from 0 to 6, what is the chance that

Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

1/7

Step-by-step explanation:

there are 7 number possibilities 0,1,2,3,4,5,6.

so if they each have an equal probability the answer is 1/7

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Find the equivalent ratio. Fill in the missing numbers
WINSTONCH [101]

Answer:

so a=36, b=3, c=5, d=540

8 0
3 years ago
The square pyramid has a volume of 27 cubic inches. What is the value of X?
wolverine [178]

Answer:

9 inches

Step-by-step explanation:

base is rectangular in shape

Side of base of square pyramid is X inches

height of square pyramid is 1/9 X

Volume  of any pyramid is 1/3 *(area of base* height of pyramid)

area of base of square pyramid = Side of base * Side of base

as area of square is equal to side * side

area of base of square pyramid = x* x square inches = x^2 sq.\ inches

Volume  of  pyramid = 1/3 *(area of base* height of pyramid)

substituting given value of of volume of pyramid , height of pyramid and  area of base calculated above we have

27 = 1/3(x^2)*(1/9 x)\\\\27*3*9 = x^3\\729 = x^3\\x = \sqrt[3]{729} \\x = 9

Therefor value of x is 9 inches.

5 0
3 years ago
Two walls of a canyon form the walls of a steady flowing river. From a point on the shorter wall, the angle of elevation to the
Sunny_sXe [5.5K]

Answer:

x is approximately 226.3 feet

y is approximately 308.6 feet

z is approximately 226.3 feet

Step-by-step explanation:

The given parameters of the walls are;

The angle of elevation from the top of the shorter wall to the top of the opposing wall, θ₁ = 20°

From the diagram, the angle of depression from the top of the shorter wall to the bottom of the opposing wall, θ₂ = 45°

The distance from the bottom of the shorter wall to the base of the opposing wall, l = 320 feet

x = The height of the shorter wall = l × sin(θ₂)

∴ x = 320 feet × sin(45°) = 320 feet × (√2)/2 = 160·√2 feet ≈ 226.3 feet

∴ x ≈ 226.3 feet

By observation, we have;

y = x + z × tan(θ₁)

Where;

z = l × cos(θ₂)

∴ y = 160·√2 + 320 × cos(45°) × tan(20°) ≈ 308.6

y ≈ 308.6 feet

z =  l × cos(θ₂)

∴  z = 320 × cos(45°) = 160·√2 ≈ 226.3

z ≈ 226.3 feet.

6 0
3 years ago
Which of the following is an even function
nata0808 [166]
An even function is a function where positive and negative values of x give you the same result.

Where f(2) = f(-2) and f(3) = f(-3)

To formally check it, you need to evaluate f(-x) and see if you get the original function back.

Graphically, an even function is symmetrical over the y-axis.

The only graph here that does all of that is f(x) = |x|
7 0
3 years ago
What are the terms of the expression 4(3-h)
Katen [24]

Answer:

12-4h

Step-by-step explanation:

4(3-h)=12-4h

7 0
3 years ago
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