Answer:
554 executives should be surveyed.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Z-table as such z has a p-value of 
.
That is z with a pvalue of 
, so Z = 1.96.
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Standard deviation of 3 hours.
This means that 
The 95% level of confidence is to be used. How many executives should be surveyed?
n executives should be surveyed, and n is found with 
. So
Rounding up:
554 executives should be surveyed.
Answer:
Yes
Step-by-step explanation:
If they're perpendicular, that means that angle ECM = 90 degrees and angle ACE = 90 degrees. To figure out if this works, plug that into the two equations they give:
ECM = 3x + 15
becomes
90 = 3x + 15
75 = 3x
25 = x
ACE = 4x - 10
becomes
90 = 4x - 10
100 = 4x
25 = x
Since you get x = 25 for both, you know that they are perpendicular because they both measure 90 degrees
4 (2x – 3)= 2( 3x + 1)
<span>(4 (2x – 3)= 2( 3x + 1)) </span>÷ 2
2 (2x – 3) = (3x + 1)
4x - 6 = 3x +1
-3x -3x
__________
x - 6 = 1
+6 +6
______
x = 7
Answer:
The length of the strip of fabric is 32 inches.
Step-by-step explanation:
Consider the provided information.
The length of the edges of the square pillow should be 8 inches.
She needs a strip of fabric four times as long as one of the pillow to make a border around the pillow.
The length of the strip of fabric = 4×8 inches
The length of the strip of fabric = 32 inches
Hence, the length of the strip of fabric is 32 inches.
