Answer: 31 is a prime number because only 1 times itself equals 31. no other two factors equal 31 as a product.
Step-by-step explanation:
<h3>
Answer:</h3>
30 ft; 0.4 min
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you ...
... Sin = Opposite/Hypotenuse
Here, the angle of elevation is opposite the triangle side representing the distance between floors. The hypotenuse is the length of the conveyor belt. Rearranging the formula (by muliplying by Hypotenuse/Sin), we get ...
... Hypotenuse = Opposite/Sin
Filling in the values from this problem, we have ...
... length of conveyor = (26 ft)/sin(60°) ≈ 30 ft
The time it takes to travel that distance is given by ...
... time = distance/speed
... time = (30 ft)/(75 ft/min) = 2/5 min = 0.4 min
Answer:
The answer is 5/6, or .833, 3 repeated.
Step-by-step explanation:
The 4 is only one side of the die, or 1/6 if the surface of the die. So the other part that is left is the other 5/6 of the surface.
Answer:
a. 1.645 multiplier = 5% critical value
b. 95
Step-by-step explanation:
Note that in statistical analysis probability principles are often used. The critical value from the critical region indicates whether the statistician should reject or accept the null hypothesis.
Note that the confidence multiplier is a constant that shows the number of standard deviations in a normal curve; the deviation standard<em> implies the measure of difference between the observed value of a variable and some another value.</em>
The volume of a cylinder with a radius r and a height h:
The volume of a cone with a radius r and a height h:
Therefore
We have 
Substitute:
Answer: The volume of a cone is equal 10.75 in³
