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julia-pushkina [17]
3 years ago
9

The probability that you will get grounded if you have a bad grade is 85%. The probability that you will get grounded and have e

xtra chores is 50%. What is the probability that you will have extra chores given that you are already grounded?
Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0
If you are grounded, there are two options - you are only grounded or you have extra chores too. Therefore, at that point, there is a 100% chance of you already being grounded - we need to figure what percentage of 100 the extra chores is. To find that, we can do 50/85= around 59% percent
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Net for a cube has a total surface area of 150 in.2. what is the length of one side of a square face
djverab [1.8K]
Surface area of a cube is given by
SA=6a²
but
SA=150 in²
thus
150=6a²
solving for a we obtain:
150/6=a²
a²=25
thus
a=√25
a=5 inches
hence the side length is 5inches
5 0
3 years ago
The three sides of a triangle measure 8,10 and 12 units. Is this a right triangle? Prove whether it is or not using the converse
kvasek [131]

Answer:

square of longest side ≠ the sum of the squares of the other two sides

It's not a right triangle

Step-by-step explanation:

The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

square of longest side: 12       12² = 144

the sum of the squares of the other two sides: 8² + 10² = 164

4 0
3 years ago
A gold mine is projected to produce $52,000 during its first year of operation, $50,000 the second year, $48,000 the third year,
marshall27 [118]

Answer:

its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

Step-by-step explanation:

Given that;

gold mine is projected to produce $52,000 during its first year

produce $50,000 the second year

produce $48,000 the third year

the mine is expected to produce for 20yrs; i.e n = 20

annual interest rate = 4% = 0.04%

now let P represent the present worth

we determine the present worth ;

Present worth ⇒ Cashflow(Uniform series present worth) - (2000)(uniform gradient present worth)

⇒Cashflow(P | A,i%,n) - (2000)(P | G,i%,n)

= 52000[ ((1+i)ⁿ - 1) / (i(1+i)ⁿ) ] - (2000)[ {((1+i)ⁿ - 1) / (i²(1+i)ⁿ))} - (n/i(1 + i)ⁿ) ]

= 52000[ ((1+0.04)²⁰ - 1) / (0.04(1+0.04)²⁰) ] - (2000)[ {((1+0.04)20 - 1) / ((0.04)²(1+0.04)²⁰))} - (20/0.04(1 + 0.04)²⁰) ]

= 52000[ ((1.04)²⁰ - 1) / (0.04(1.04)²⁰) ] - (2000)[ {((1.04)²⁰ - 1) / ((0.04)²(1.04)²⁰))} - (20/0.04(1.04)²⁰) ]

= 52000[ ((2.191123 - 1) / (0.04(2.191123) ] - (2000)[ {((2.191123 - 1) / ((0.0016)(2.191123))} - (20/0.04(2.191123) ]

= 52000(1.191123/0.08764) - (2000){( 1.191123/0.003506) - (20/0.87645)}

= 52000(13.59033) - (2000)(339.7582 - 228.1935)

= 52000(13.59033) - (2000)(111.5647)

= 706695.6 - 223129.4

= 483,566.2 ≈ 483,566

Therefore its present worth is nearest to 483,566

Option d) 483,566 is the correct answer

4 0
3 years ago
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal
Phantasy [73]

Area of a circle with diameter 14.

That means the radius is r=7 and the area is of course πr²

Answer: 49π

4 0
3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
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