Answer:
<2 and <8
<3 and <5
Step-by-step explanation:
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
This is my 100th question answered!
As described in z-distribution the answers are given below:
a) The 95% confidence interval estimate for the population mean spending by a customer on visiting salon per month is given as follows: (747, 853).
b) The sampling error at 95% confidence level is of: $35.78.
What is a z-distribution ?
The normal distribution with a mean of 0 and a standard deviation of 1 is referred to as the standard normal distribution (also known as the Z distribution) (the green curves in the plots to the right). It is frequently referred to as the bell curve since the probability density graph resembles a bell.
solution:
The bounds of the confidence interval are given as follows:
In which:
is the sample mean.
z is the critical value.
n is the sample size. is the standard deviation for the population.
The parameters for this problem are given as follows:
Hence the lower bound of the interval is of:
800 - 200 x 1.96/square root of 55 = 747.
The upper bound of the interval is of:
800 + 200 x 1.96/square root of 55 = 853.
The sampling error for a sample size of 120 is calculated as follows:
200 x 1.96/square root of 120 = $35.78.
To learn more about the z-distribution from the given link
brainly.com/question/4079902
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Answer:
<h2>
$3448.81</h2>
Step-by-step explanation:
Using the compound interest formula to calculate the amount compounded after 10years.
P = principal = $2000
r = rate (in %) = 5.6%
t = time (in years) = 10years
n = 1year = time used in compounding
Amount compounded after 10 years is $3448.81
Equation: SOLVE
Solution for 10=4(x-1)-(x-8) equation:
Simplifying
10 = 4(x + -1) + -1(x + -8)
Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)
Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)
Reorder the terms:
10 = -4 + 8 + 4x + -1x
Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x
Combine like terms: 4x + -1x = 3x
10 = 4 + 3x
Solving
10 = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4
Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10
Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10
Combine like terms: 4 + -10 = -6
-3x = -6
Divide each side by '-3'.
x = 2
Simplifying
x = 2
First either add or subtract the number in the parenthesis (3^2-4) which equals to 5
90/[10+5) add the number in the parenthesis again (always do the parenthesis first) [10+5]= 15.
lastly divide 90/15 which equals to 6
always remember (PEMDAS)
