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kvasek [131]
3 years ago
12

Use prime factorization to reduce the fraction 36/180

Mathematics
1 answer:
laila [671]3 years ago
5 0

Answer:

Step-by-step explanation:

36 = 6* 6 = 2* 3 * 2* 3 = 2*2*3*3

180 = 2 * 2 * 3 * 3 * 5 = 2 * 2 * 3*3*5

\frac{36}{180}= \frac{2*2*3*3}{2*2*3*3*5} =  \frac{1}{5}

Factors that are common will be cancelled

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3 years ago
What is the inverse of f(x)=(x-5)^2 for x greater or equal to 5 where function g is the inverse of function f
koban [17]

Answer:


y=\sqrt{x}+5

Step-by-step explanation:


The inverse of a function, is the function or rule formed by reflecting the line over y=x. This means essentially that all (x,y) values from the original function switch to (y,x).


(x,y)--->(y,x) in the new function.


If the function has points (-3,4) and (5,-2) then the inverse has points (4,-3) and (-2, 5).


We can find the equation of the inverse by switching x and y in the equation and solving for y.

This means that y=(x-5)^2 becomes x=(y-5)^2. We now solve for y through inverse operations.

x=(y-5)^2

x=(y-5)^2\\\sqrt{x} =\sqrt{(y-5)^2} \\\sqrt{x} =y-5\\\sqrt{x} +5=y

6 0
3 years ago
Consider two populations of coins, one of the pennies and one of quarters. A random sample of 25 pennies was selected, and the m
Rudik [331]

Answer:

d. No, the conditions for normality have not been met because the sample size for the pennies is not large enough and no information is given about the distributions of the populations.

Step-by-step explanation:

In this example, we learn that the sample taken of pennies was of 25, while the sample of quarters was of 35. According to the central limit theorem, a sample must be equal to or larger than 30 for the theorem to hold. The theorem states that when random variables are added, they tend towards a normal distribution even if the original variables themselves are not normally distributed. In this question, the sample of pennies is not large enough for the theorem to hold. On top of this, we have no information about the distribution of the populations. Therefore, the conditions for normality have not been met.

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4 years ago
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MAXImum [283]
If its the capital letters:
TEIEDIII
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5 0
3 years ago
Which value is a solution of the inequality -x + 5 < 7? (SELECT ALL THAT\ APPLY)
Varvara68 [4.7K]

Answer:

5,7,-1

Step-by-step explanation:

5) -5+5<7=0<7 TRUE

7)-7+5<7=--2<7 TRUE

-1)-(-1)+5<7=6<7 TRUE

-3)-(-3)+5<7=8<7 FALSE

-2)-(-2)+5<7=7<7 FALSE

8 0
3 years ago
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