Answer:
the slope is -2/3
and the y intercept is 12
Step-by-step explanation:
slope intercept form
y= mx+b where m is the slope and b is the y intercept
y = 12 -2/3x
y = -2/3x + 12
the slope is -2/3
and the y intercept is 12
Answer and Step-by-step explanation:
we have the following data:
Point estimate = sample mean = \ bar x = 12.39
Population standard deviation = \ sigma = 3.7
Sample size = n = 177
a) the margin of error with a 90% confidence interval
α = 1 - 90%
alpha = 1 - 0.90 = 0.10
alpha / 2 = 0.05
Z \ alpha / 2 = Z0.05 = 1,645
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 1.645 * (3.7 / \ sqrt177)
Outcome:
E = 0.46
b) margin of error with a 99% confidence interval
α = 1-99%
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
Z \ alpha / 2 = Z0.005 = 2,576
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 2,576 * (3.7 / \ sqrt177)
Outcome:
E = 0.72
c) A larger confidence interval value will increase the margin of error.
Answer:
C / 20
Step-by-step explanation:
Number of students in the baking club = 10
Each student made 2 chocolate cakes
Total cakes = number of students × number of cakes per student
= 10 × 2
= 20
Total cups of flour used by 10 students = C cups
Amount of flour for one cake = Total cups of flour / Total cakes
= C / 20
The expression that represents the amount of flour for one cake = C / 20
The answer is 492.307
The number after the thousandths is 9 - greater than 5 - so we round 6 up to 7.
Answer:
<h2> $430.90</h2>
Step-by-step explanation:
Given that the principal p= $290
rate r= 2.2% 2.2/100 =0.022
time t= 18years
by applying the expression
We have
Hence after 18years the money in the account will be $430.90
