Answer:
option B. G
Step-by-step explanation:
Let
y ---->ounces of orange juice
x ---> ounces of pineapple juice
we know that
The ratio of orange juice to pineapple juice is equal to
substitute the given values
simplify
<u><em>Verify each graph</em></u>
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
we have
that means
5 ounces of orange juice per 3 ounces of pineapple juice
Graph F
The slope is
Graph G
The slope is
Graph H
The slope is
Graph J
The slope is
The value of 2 is the value closest to 1.67
therefore
The graph that has a slope that best represents the ratio of orange juice to pineapple juice is Graph G
Answer:
Step-by-step explanation:
Hello!
The variable of interest in this case is:
X: length of time before a major repair is required on a new car. (months)
This variable has a normal distribution with mean μ= 36 months and a standard deviation σ= 9 months.
If he wants to set a guarantee period in which only 5% of the sold cars fell, the objective is to find the value of X that has below 5% of the cars that need major repairs before the end of the guarantee period.
Check the attachment, the curve represents the distribution of the population of the time it takes before a new car needs major repairs, I've marked approximately where this value of X should be.
Symbolically:
P(X≤a)=0.05
To reach the proper value of "a" you have to work using the standard normal distribution because is a tabulated distribution and you can extrapolate it to any normal distribution.
So the first step is to look in the table of the Z distribution for the value that accumulates 0.05 of probability since it is such a low probability, you have to look for the value in the left side of the table (negative values of Z). You look for 0.05 in the body of the table and then the margins for the corresponding value (see second attachment)
Then the value that accumulates 0.05 of probability is -1.64, now you have to reverse the standardization to reach the asked value of X
Z= (a- μ)/σ
(Z*σ)= a - μ
a=(Z*σ)+ μ
a=(-1.64*9)+36
a= 21.24 months.
The guarantee period should be 21.24 months so that only 5% of the sold cars will need major repairs before it wears of.
I hope it helps!
5.
To find this, you can do the is over of technique.
The is over of technique is as says - is over of and percent over one hundred.
If you use this technique, your equation should look like this:
x/50 = 10/100
Cross multiply 10 and 50 and divide by 100 to get the answer of 5.
Hope this helps!
Answer:
16 dimes
Step-by-step explanation:
He already has 7, and got 9 more, so we can add 7 and 9
7+9 =16
So, Dan has 16 dimes now
Hope this helps! :)
