Answer: X = 44.4 degrees
Step-by-step explanation: The figure given is a right angled triangle with two sides given as well as one angle unknown.
Angle X, which is the unknown, is the reference angle in this question. So we have an opposite which is the side facing the reference angle (line 7 units) and we have an hypotenuse which is the side facing the right angle (line 10). Having an opposite and an hypotenuse, we can use the trigonometric ratio of sine.
SinX = opposite/hypotenuse
SinX = 7/10
SinX = 0.7000
Looking up a table of values or checking the calculator, 0.7000 under sine of angles gives 44.4270
Therefore angle X is approximately 44.4 degrees (approximated to the nearest tenth)
1 hour - 200 calls |multiply 8
8 hours - 1600 calls
There are 8 employees so every employee take 1600 : 8 = 200 phone calls daily
Answer:
The answer is: y = 3/8x + 28/8
Step-by-step explanation:
Given point: (4, 5)
Given slope m = 3/8
Uset the point slope form:
y - y1 = m(x - x1)
y - 5 = 3/8(x - 4)
y - 5 = 3/8x - 12/8
y = 3/8x - 12/8 + 5
y = 3/8x - 12/8 + 40/8
y = 3/8x + 28/8
Proof, use point (4, 5):
f(x) = 3/8x + 28/8
f(4) = 3/8(4) + 28/8
= 12/8 + 28/8
=40/8 = 5, giving (4, 5)
About 32.34% of the values do not lie between the z-scores of -1.3 and 0.75.
First, we need to find the region between the z-scores.
If you look at a normal distribution table, you will get the following values:
0.75 = 77.34%
-1.3 = 9.68%
Subtraction those gives us the area between the z-scores.
77.34 - 9.68 = 67.66%
Now, just subtract that value from 100% to get the amount outside of the area.
100 - 67.66 = 32.34%
Answer: 500
Step-by-step explanation:
300 squared plus 400 squared is x squared so just do the square root of 300 squared plus 400 squared
