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Hitman42 [59]
3 years ago
14

A MACHINE WORKED 5 HOURS USING 4 KILOWATTS OF ELECTRICITY. HOW MUCH WOULD MACHINE HAVE USED IN KILOWATT EACH HOUR WORKED

Mathematics
1 answer:
ratelena [41]3 years ago
5 0
4 kilowatt is a power, not work done.

If the machine works using power at the rate of 4 kilowatt, then it is using 4 kilowatt each hour.
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A bag contains even and odd numbered balls in the ratio of 3:7, respectively. For each of the following, what is the probability
Gre4nikov [31]

Answer:

a) 0.425

b) 0.65

c) 0.575

Step-by-step explanation:

The ratio of even balls to odd balls is 3:7.  That means if there are 3 even balls, then there are 7 odd balls.  That makes a total of 10 balls, of which 30% are even and 70% are odd.

a) There are 240 balls, so originally, 72 are even and 168 are odd.  30 of the odd balls are renumbered by multiply by 4.  An odd number times an even number is an even number, so 30 of the odd balls become even balls.  So there are now 102 even balls and 138 odd balls.  Therefore:

P(even) = 102 / 240

P(even) = 0.425

b) Originally, 70% of the balls are odd.  Half of those are renumbered by multiplying by 6, so they become even numbers.

P(odd) = 0.5 (70%) = 35%

P(even) = 30% + 35% = 65%

A third of the even balls are renumbered by multiplying by 5, so they remain even numbers.

Therefore, P(even) = 0.65.

c) Originally, 30% of the balls are even.  Half of those are renumbered by adding 3.  An even number plus an odd number is an odd number, so:

P(even) = 0.5 (30%) = 15%

P(odd) = 70% + 15% = 85%

Next, half the odd balls are renumbered by adding 5.  An odd number plus an odd number is an even number, so:

P(odd) = 0.5 (85%) = 42.5%

P(even) = 15% + 42.5% = 57.5%

Therefore, P(even) = 0.575.

8 0
3 years ago
To find the difference of 7 - 3 5/12 how do you rename the 7
lawyer [7]
You would want to make it so it has 12 on the bottom. So you would multiply by 12. Which is 84. The you put it over 12. So it would be 84/12.
7 0
3 years ago
Find f(3).<br><br> f(x) = x2 + 5x - 9<br> A) 7 <br> B) 10 <br> C) 9 <br> D) 15
Lelechka [254]

Answer:

f(3) = 15. Correct: D)

Explanation:

<u>Numeric Value of a Function</u>

The value of a function f(x) when x = a is calculated by replacing the x for a. We have the function:

f(x)=x^2+5x-9

It is required to find f(3), or the numeric value of f when x=3. Replace x for 3

f(3)=3^2+5(3)-9

f(3)=9+15-9

f(3)=15

A) Incorrect. f(3) is not 7

B) Incorrect. f(3) is not 10

C) Incorrect. f(3) is not 9

D) Correct. f(3) =15 as found above.

4 0
3 years ago
Which vocabulary word best describes the math sentence you see here?
nlexa [21]

Answer:

Expression

Step-by-step explanation:

Remember, an expression is a mathematical phrase that contains numbers, variables, or both. Expressions never have an equal sign. An equation is a mathematical sentence that says two expressions are equal. My work don't copy®️

7 0
2 years ago
You earn $9 per hour babysitting. This is $2 more than what you earned per hour last year. What did you earn last year?
slamgirl [31]
$7 is the correct answer for *per hour*, as 9-2=7. Notice how it says how much did you earn last year, implying total earned. How many hours did you work last year?
4 0
3 years ago
Read 2 more answers
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