Answer:
The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Step-by-step explanation:
The quadratic function
represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.
To find h(3), substitute t = 3 into the function expression:

Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Answer:
The value of the test statistic is t=1.12.
Step-by-step explanation:
This is a hypothesis test for the difference between populations means.
The claim is that the mean amount of time required to reach a customer service representative significantly differs between the two hotels.
Then, the null and alternative hypothesis are:

The sample 1, of size n1=20 has a mean of 2.65 and a standard deviation of √2.952=1.72.
The sample 2, of size n2=20 has a mean of 2.01 and a standard deviation of √2.952=1.89.
The difference between sample means is Md=0.64.

The estimated standard error of the difference between means is computed using the formula:

Then, we can calculate the t-statistic as:

we know that

in this problem

therefore

<u>the answer is the option A</u>

Answer:A) 4√5
Step-by-step explanation:
The formula for determining the distance between two points is expressed as
d = √[(x2 - x1)^2 + (y2 - y1)^2]
Where
d is the distance between the two points.
x2 represents the final value of x on the horizontal axis.
x1 represents the initial value of x on the horizontal axis.
y2 represents the final value if y on the vertical axis.
y1 represents the initial value of y on the vertical axis.
From the information given,
y2 = 8
y1 = 4
x2 = -5
x1 = 3
d = √[(- 5 - 3)^2 + (8 - 4)^2]
d = √(-8^2) + 4^2 = √64+16
d = √80
d = 4√5