Step-by-step explanation:
so the ratio of the recipe is 32/48 of pineapple juice and orange juice.
that can be simplified to the ratio of 2/3.
now, she has only 20 floz of pineapple juice.
20/x = 2/3
60/x = 2
60 = 2x
x = 60/2 = 30
she needs 30 floz of orange juice with the 20 floz of pineapple juice to maintain the prescribed ratio for fruit punch.
Answer:
12 + 4x
Step-by-step explanation:
To solve this you would have to use the distributive property.
The problem would basically go like this.
4 (3+x)
(Distribute)
(4x3) (4 x X)
4x3 = 12, 4 x x = 4x
So the answer would be 12 +4x
Hope this helps :)
Answer:.............................................................................................
Step-by-step explanation:
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Answer:
Roy
Step-by-step explanation:
If Roy finished first the first time then he is faster at planting the seeds.
I don't know if this is correct but I think it is.
Answer:
a)
And we can find this probability using the normal standard table or excel and we got:
b)
And we can find this probability using the complement rule and the normal standard table or excel and we got:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the time for the step 1 and Y the time for the step 2, we define the random variable R= X+Y for the total time and the distribution for R assuming independence between X and Y is:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Part b
And we can find this probability using the complement rule and the normal standard table or excel and we got: