Answer:
B is True
A, C. D are false
Step-by-step explanation:
Given :
Sample size, n = 120
Mean diameter, m = 10
Standard deviation, s = 0.24
Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96
The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.
The population here is N = 10000
To obtain
Confidence interval (C. I) :
Mean ± margin of error
Margin of Error = Zcritical * s/sqrt(n)
Margin of Error = 1.96 * 0.24/sqrt(120)
Confidence interval for the 10,000 ball bearing :
10 ± 1.96 * (0.24) / sqrt(120)
Hence. The confidence interval defined as :
10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.
6/9 just multiply both parts of the fraction by 3
Answer:
The original length was 41 inches and the original width was 16 inches
Step-by-step explanation:
Let
x ----> the original length of the piece of metal
y ----> the original width of the piece of metal
we know that
When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box
The dimensions of the box are

The volume of the box is equal to


so

simplify
-----> equation A
Remember that
The piece of metal is 25 in longer than it is wide
so
----> equation B
substitute equation B in equation A

solve for y

Solve the quadratic equation by graphing
using a graphing tool
The solution is y=16
see the attached figure
Find the value of x

therefore
The original length was 41 inches and the original width was 16 inches
Answer:
d.
Step-by-step explanation:
i looked at the graph!
Answer:
The order of operations is PEMDAS
First step is to do everything is parenthesis or brackets
5+{2*[(5-1)+6]}/4
{2*[(5-1)+6]}
First you would go 5-1=4, because that is the first equation that is in parenthesis by itself.
{2*[4+6]}
Next you would go 4+6=10, because that is your next smallest bracket
{2*10}
Last you would go 2*10=20
Your equation now looks like this
5+{20}/4
In PEMDAS your next step is exponents, but we don't have any so we go on to the next one which is multiply/division
5+5
You would go 20/4=5
Last step is to add/subtract
5+5=10
Your final answer would be 10
Hope this helps ;)
Step-by-step explanation: