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Nesterboy [21]
3 years ago
12

You know that the battery in your alarm clock is going to run out of power soon. If it runs out within the next 24 hours, what i

s the probability that it will happen while you are sleeping? Assume that you get 8 hours of sleep per night.
Mathematics
1 answer:
aivan3 [116]3 years ago
3 0
The probability of an event is given by the number of favorable outcomes divided by the total number of outcomes. Here the event is the alarm clock running out of power. There are 24 hours during which the power can go out. You are asleep during 8 of these. A "favorable" outcome in this case is the power going out while you are sleeping -- that is, during one of those 8 hours. This makes the probability that the power goes out while you are sleeping 8/24.
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Write the expression as a square of a monomial. <br><br><br><br><br><br><br><br><br><br> a 81x^4
poizon [28]

Answer:

(9x²)²

Step-by-step explanation:

Given the expression 81x⁴, to write the expression as a square of a monomial, first we will assign a variable to the expression.

y = 81x⁴

Then we take the square root of both sides of the expression

√y = √81x⁴

y^½ = √81 × √x⁴

y^½ = 9x²

Squaring both sides of the resulting equation to get y back

(y^½)² = (9x²)²

y = (9x²)²

The expression as a square of a monomial is (9x²)²

7 0
3 years ago
Read 2 more answers
Choose the equation that represents the graph below: (1 point) Graph of a line passing through points 0 comma 6 and 9 comma 0 y
aleksklad [387]

Answer:

Option C is correct.

Equation of a line y=\frac{-2}{3}x+6 passing through (0,6) and (9,0).

Explanation:

Given the two points (0, 6) and (9 ,0).

To find the equation for the given two points (x_{1},y_{1}) and (x_{2},y_{2}) is,

y-y_{1}=m(x-x_{1}); where m is the slope and is given by:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

First find the slope m:

m=\frac{0-6}{9-0} =\frac{-6}{9} =\frac{-2}{3}

Substitute this value in equation of line:

y-6=\frac{-2}{3} (x-0) or

y-6=\frac{-2}{3} x

⇒ y=\frac{-2}{3}x+6

Therefore, the equation for the given point is:  y=\frac{-2}{3}x+6


7 0
3 years ago
Given the function f(x) = x - 10, what is the corresponding value when x = -12? *
Dahasolnce [82]

Answer:

-22

Step-by-step explanation:

-12 - 10 = -22

4 0
2 years ago
PLEASE HELP For the expression below, write two other equivalent expressions using different terms. Make sure one is fully simpl
Julli [10]

Given:

The given expression is

-4(x+2)-2x+4

To find:

The two other equivalent expressions.

Solution:

We have,

-4(x+2)-2x+4

Using distributive property, we get

=-4(x)-4(2)-2x+4

=-4x-8-2x+4

So, one equivalent expression is -4x-8-2x+4.

On further simplification, we get

=(-4x-2x)+(-8+4)

=6x-4

Therefore, the second and fully simplified equivalent expression is 6x-4.

5 0
3 years ago
WILL GIVE BRAINLIEST PLEASE HELP!!!
laiz [17]

Answer:

its the top right answer choice

you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory

Step-by-step explanation:

its the top right answer choice

you'd simply just need to subtract 80 from 210 since its 10 per visit, and after 8 visits well its self explanatory

5 0
3 years ago
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