Answer:
<h2>Molly needs 48 ounces of water and 16 ounces of strawberries.</h2>Step-by-step explanation:
Givens
If represents strawberry and
represents water, the equations would be
This system representes the given situation, because the total ounces of water is three times the ounces of strawberry juice. And the sum between those two is 64 ounces.
So, we replace the first equation into the second one to solve
Then, we replace this value in the other equation, to find the missing variable
Therefore, Molly needs 48 ounces of water and 16 ounces of strawberries.
x=3.95
Explanation
From the given information we find that the triangle is right angled at C. CB is the base,AC is the height and AB is the hypotenuse.
Given that D is the hypotenuse of the hypotenuse AB.
BC=6
BD=4.2
AD=x
the height and the base of the triangle is given.
Using pythagoras theorem, we can find the hypotenuse AB.
D is the midpoint of AB
therefore AD=AB/2=
=3.905
x=3.905 cm
Answer:
a. 0.71
b. 0.9863
Step-by-step explanation:
a. From the histogram, the relative frequency of houses with a value less than 500,000 is 0.34 and 0.37
-#The probability can therefore be calculated as:
Hence, the probability of the house value being less than 500,000 is o.71
b.
-From the info provided, we calculate the mean=403 and the standard deviation is 278 The probability that the mean value of a sample of n=40 is less than 500000 can be calculated as below:
Hence, the probability that the mean value of 40 randomly selected houses is less than 500,000 is 0.9863