Answer:
A = 28 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
The base is 14 and the height is 4
A = 1/2 (4) * 14
A = 28 units ^2
<h2>
Answer with explanation:</h2>
The confidence interval for population mean is given by :-
(1)
, where 
= sample mean
z* = critical value.
SE = standard error
and 
, 
= population standard deviation.
n= sample size.
As per given , we have
n= 15
It is known that ring diameter is normally distributed.
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 99% two-sided confidence interval on the true mean piston diameter :
(using (1))
[Rounded to three decimal places]
∴ A 99% two-sided confidence interval on the true mean piston diameter = (74.020, 74.022)
By z-table ,
The critical value for 95% confidence = z*= 1.96
A 95% lower confidence bound on the true mean piston diameter:
(using (1))
[Rounded to three decimal places]
∴ A 95% lower confidence bound on the true mean piston diameter= 74.020
Answer: 8.175
Explanation: 8 is the whole number so set that aside look at 7/40, using simple division solve for a decimal
Answer:
1) m = h - w/8
Subtract h from both sides.
m - h = -w/8
Subtract m from both sides.
-h = -m - w/8
Divide all terms by -1.
h = m + w/8.
2) m = h - w/8
Get rid of the denominator 8 by multiplying 8/1 to all terms.
8m = 8h - w
Add w on both sides and subtract 8m from both sides.
w = 8h - 8m
3) w = x + y/z
Get rid of the denominator z by multiplying it to all terms.
wz = xz + y
Subtract xz from both sides of the equation.
wz - xz = y OR y = wz - xz
4) w = x + y/z
Subtract x from both sides.
w - x = y/z
Get rid of the denominator by multiplying it to all terms.
wz - xz = y
Now factor the expression wz - xz.
z(w - x) = y
Divide both sides by w - x.
z = y / w - x
This is read as z equals to y divided by w minus x.
5) The area of a triangle is A = 1/2bh
First, get rid of the denominator by multiplying both sides by 2.
2A = bh
To find b, divide both sides by h.
2A/h = b
6) P = kt/v
Multiply both sides by v.
Pv = kt
Divide both sides by t.
Pv/t = k OR k = Pv/t.
Step-by-step explanation:
Answer:
0.0025 = 0.25%
Step-by-step explanation:
First we need to find how many people don't have flue shots.
28% of 50 is equal to 0.28 * 50 = 14 people.
If 14 people have flue shots, we have 50 - 14 = 36 people that don't have flue shots.
Now, to solve this problem, the probability will be the cases where we have a group of people that don't have flue shots (that is, a combination of 36 choose 15) over the total cases (combination of 50 choose 15):
C(36,15) / C(50,15) = (36!/15!*21!) / (50!/15!*35!) = 0.0025 = 0.25%
