A tree in Kevin's backyard is 5/8 meters tall. It has been growing for 1 2/5 years. What is the unit rate in meters per year? No
2 answers:
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We are given: Strawberry juice = 5 parts and
Water quantity = 3 parts .
Ratio of Strawberry juice to Water is = 5 : 3.
Total fluid ounces of the strawberry drink need to make = 64 ounces.
Let us assume strawberry juice need = x ounces.
So, the water would be need = Total fluid - strawberry juice = 64 -x ounces.
The ratio of Strawberry juice to Water would reamain same 5:3.
So, we can setup a proportion now.
On cross multiplying, we get
x*3=5 *(64-x)
Distibuting 5 over (64-x), we get
3x = 5 * 64 - 5*x
3x = 320 -5x
Adding 5x on both sides, we get
3x+5x = 320-5x +5x
8x = 320
Dividing both sides by 8, we get
x = 40
So, strawberry juice need = 40 ounces.
Water would be need = 64 - 40 = 24 ounces.
Therefore, 40 ounces of strawberry juice and 24 ounces of water carmen needs to make 64 fluid ounces of the strawberry drink.
Answer:
The probability that no more than 70% would prefer to start their own business is 0.1423.
Step-by-step explanation:
We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.
Let = <u><em>sample proportion of people who prefer to start their own business</em></u>
The z-score probability distribution for the sample proportion is given by;
Z = ~ N(0,1)
where, p = population proportion who would prefer to start their own business = 72%
n = sample of 18-29 year-olds = 600
Now, the probability that no more than 70% would prefer to start their own business is given by = P(
70%)
P(
70%) = P(
) = P(Z
-1.07) = 1 - P(Z < 1.07)
= 1 - 0.8577 = <u>0.1423</u>
The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.