Answer
Find out the how much fertilizer will Timothy need for two fields, one that is 22.5 acres and one that is 38.25 acres .
To proof
As given
Timothy is putting fertilizer on a field after planting some crops
The directions on the barrel state to use 0.75 quarts for each acre of land.
fertilizer will Timothy need for 22.5 acres = 22.5 × 0.75
= 16.875 quarts
fertilizer will Timothy need for 38.25 acres = 38.25×0.75
= 28.6875 quarts
total fetilizer Timothy need for two fields = 16.875 + 28.6875
= 45.5625
= 45.6 ( approx )quarts
Therefore the total fertilizer will Timothy need for two fields be 45.6 ( approx )quarts .
Hence proved
we know that
<u>1) If the line segment AB is parallel to the line segment DC</u>
then
m∠1=m∠D -------> by corresponding angles
<u>2) If the line segment AD is parallel to the line segment BC</u>
then
m∠3=m∠B -------> by corresponding angles
Answer:
a) 0.0228
b) 94.6
Step-by-step explanation:
The formula for calculating a z-score when you are given a random.number of samples is z = (x-μ)/σ/√n
where x is the raw score
μ is the population mean
σ is the population standard deviation
n = random number of samples
Given a normal distribution with u = 75 and o = 40, if you select a sample of n = 16,
a) what is the probability that the sample mean is above 95? (4 d.p.) b)
= x = 95
Hence:
z = 95 - 75/40/√16
= 20/40/4
= 20/10
= 2
Probability value from Z-Table:
P(x<95) = 0.97725
P(x>95) = 1 - P(x<95) = 0.02275
The probability that the sample mean is above 95 to 4 decimal places = 0.0228
b) What is the value, of which there is 97.5% chance that a sample mean is less than that value?
97.5% chance = z score for the confidence interval = 1.96
Hence:
z = (x-μ)/σ/√n
1.96 = x - 75/40/√16
1.96 = x - 75/ 40/4
1.96 = x - 75/10
Cross Multiply
1.96 × 10 = x - 75
19.6 = x - 75
x = 19.6 + 75
x = 94.6
The value, of which there is 97.5% chance that a sample mean is less than that value is 94.6
Answer:
-7k + 14
Step-by-step explanation:
(k² - 7k + 2) - (k² - 12)
k² - 7k + 2 - k² + 12
k² - k² - 7k + 2 + 12
-7k + 14
Answer:
A pizza shop sells pizzas that are 10 inches orr larger. A 10-inch cheese pizza costs $8 and each additional costs $1.50 and each additional topping costs $0.75.
The equation that represents the cost of a pizza is:
P = $10 + $1.50a + $0.75b
Where 'a' represents the number additional inches and 'b' represents the number of additional toppings.
