Answer:
A. Total number of liters = 1.25 liters
B. Milk = 0.25 liters
Step-by-step explanation:
Let
x = total number of liters ( milk + water )
Milk = 20% of x
= 0.2x
Water = 1 liter
Total number of liters = milk + water
x = 0.2x + 1
x - 0.2x = 1
0.8x = 1
Divide both sides by 0.8
x = 1 / 0.8
= 1.25
x = 1.25 liters
Total number of liters = 1.25 liters
B.
Liters of milk in the bottle = Total number of liters - liters of water
= 1.25 liters - 1 liter
= 0.25 liter
Milk = 0.25 liters
First subtract the two numbers:
8 - 5 = 3
Now divide this to the original:
3 / 5 = 0.6
Multiply by 100:
0.6 * 100 = 60%
Answer:
450cm²
Step-by-step explanation:
The area of the kite is made up of two pairs of congruent triangles. Find the area of these and add to get the kite's area. (area of triangle = (1/2)(base)height))
2(0.5*15*20)+2(0.5*15*10)
300+150
450
Answer:
Probability that at least 490 do not result in birth defects = 0.1076
Step-by-step explanation:
Given - The proportion of U.S. births that result in a birth defect is approximately 1/33 according to the Centers for Disease Control and Prevention (CDC). A local hospital randomly selects five births and lets the random variable X count the number not resulting in a defect. Assume the births are independent.
To find - If 500 births were observed rather than only 5, what is the approximate probability that at least 490 do not result in birth defects
Proof -
Given that,
P(birth that result in a birth defect) = 1/33
P(birth that not result in a birth defect) = 1 - 1/33 = 32/33
Now,
Given that, n = 500
X = Number of birth that does not result in birth defects
Now,
P(X ≥ 490) =
=
+ .......+
= 0.04541 + ......+0.0000002079
= 0.1076
⇒Probability that at least 490 do not result in birth defects = 0.1076