To find the simplest form of a fraction, you have to find the greatest common factor (GCF). To do so, list out the factors of the numerator (4) and the denominator (8) and find the biggest common number between the two numbers.
Factors of 4: 1, 2, 4
Factors of 8: 1, 2, 4 ,8
Out of those factors, we can see that 1, 2, and 4 are the common factors, but 4 is the greatest which makes it our GCF.
Now we can divide the numerator and the denominator by the GCF to receive our simplest form.
4 ÷ 4 = 1
8 ÷ 4 = 2
Rewrite the fraction with the new numerator (1) and the new denominator (2).
The simplest form of 4/8 is: 1/2 or 0.5.
Answer:
Step-by-step explanation:
1) Data given
represent the population proportion of complaints settled for new car dealers
represent the sample of complaints involving new car dealers.
2) Find the distribution of
First we can begin with the expected value
and that represent the mean
Now we can find the variance for
When we use a proportion p, when we draw n items each from a Bernoulli distribution. The variance of each Xi distribution is p(1−p) and hence the standard error is p(1−p)/n. for this reason the variance for is given by:
So then the deviation would be given by:
The sample distribution of the sample proportion is normal, so then we have this:
3) Calculating the mean and standard deviation
We can replace the values given in order to find the mean and deviation:
The value of y when x = 10 is 22.5 ⇒ 1st answer
Step-by-step explanation:
Direct variation is a relationship between two variables that can
be expressed by an equation in which one variable is equal to a
constant times the other
If y varies directly with x, then
- y ∝ x
- y = k x, is the equation of variation where k is the constant of variation
∵ y varies directly with x
∴ y ∝ x
∴ y = k x
To find k substitute x and y by their initial values
∵ y = 9 and x = 4
- Substitute y by 9 and x by 4 in the equation above
∴ 9 = k(4)
- Divide both sides by 4
∴ 2.25 = k
∴ The value of k is 2.25
- Substitute the value of k in the equation above
∴ y = 2.25 x ⇒ equation of variation
∵ x = 10
- To find y substitute x by 10 in the equation of variation
∵ y = 2.25(10)
∴ y = 22.5
∴ The value of y is 22.5
The value of y when x = 10 is 22.5
Learn more:
You can learn more about variation in brainly.com/question/10708697
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Answer:
1 in 3
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
- 9+3(8-3(7-5))-4
- 9+3(8-3(2))-4
- 9+3(8-6)-4
- 9+3(2)-4
- 9+6-4
- 15-4
- 11
I first delt with simplifying the parentheses till step five. Then in five I just added 9+6 because it came before the -4. But PEMDAS is very important when doing these problems because it tell you the order
- P (parentheses)
- E (exponents)
- M (multiply)
- D (divide)
- A (add)
- S (subtract)
- **the biggest thing is that with multipe and divide it depends what comes first. If you see divide before multipe in the problem just do it that way. It is the same way with add and subtract but The multiple/divide group ALWAYS comes BEFORE add/subtract