Answer
D
Step by Step
8(length)x7(width)x14(height)=784 cubic inches
Answer:
Step-by-step explanation:
A tree that is 100 feet tall casts a shadow that is 150 feet long ...
The angle at which the ray of the sun hit the ground is that which has a tangent equal to 100 / 150 or 2/3. This angle is equal to 33.69. Thus, the answer is letter B. 34°
In doing this you can use the factoring method to do this faster. Start by dividing both sides by two to simplify the equation. X^2 now equals 100.
You can move 100 to the other side of the equation so that x^2-100=0. You can now factor and solve using the zero product property.
x^2-100=0
(x+10)(x-10) = 0
x equals 10 and -10.
Answer: in order to qualify, the time must be at least 15.93 minutes
Step-by-step explanation:
Let x be a random variable representing the average response times of fire departments to fire calls. Since it follows a normal distribution, we will determine the z score by applying the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
From the information given,
µ = 12.8 minutes
σ = 3.7 minutes
in order to qualify for the special safety award, the probability value would be to the right of the z score corresponding to 80%
The z score corresponding to 80% on the normal distribution table is 0.845
Therefore,
0.845 = (x - 12.8)/3.7
0.845 × 3.7 = x - 12.8
3.13 = x - 12.8
x = 12.8 + 3.13 = 15.93
The answer is $29.3 because you multiply 2.93 times the ten gallons of gas.
