Answer:
We accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Sample mean,
= 28.8 miles per gallon
Sample size, n = 120
Alpha, α = 0.01
Sample standard deviation, σ = 6.89 miles per gallon
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,

We fail to reject the null hypothesis and accept it.
We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.
Step-by-step explanation:
10 red 6 blue so 16 altogether.
apologies if I'm wrong
Answer: Total Loss or Gain = $0
<u>Step-by-step explanation:</u>
Gain: $55,055 (1 + 0.16)
= $55,055 (1.16)
= $63,863.80
Profit = $8,808.80
Loss: $55,055 (1 - 0.16)
= $55,055 (0.84)
= $46,246.20
Loss = -$8,808.80
Profit + Loss
= $8,808.80 - $8,808.80
= 0
Answer:
0.75 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.
So we can set a Pythagoras theorem as:


Now, we need to find the derivative of above equation with respect to time.

Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be: 
Let us solve for y using Pythagoras theorem.




Take positive square root:


Upon substituting our given values in derivative equation, we will get:






Therefore, the ladder is moving up at a rate of 0.75 feet per second.
First, begin by converting the tip of 12% to a decimal.
.12
Now, multiply that by the total bill.
.12*143=17.16
We now know the numerical value of the tip.
Add the tip to the total bill and get your answer.
143+17.16=160.16