Answer:
b. Do not reject the null hypothesis
Step-by-step explanation:
Given that two random samples of 40 students were drawn independently from two populations of students. Assuming equal variances
we have the following data.
Sample 1
Mean:
76
Standard deviation:
8
Sample size:
40
Sample 2
Mean:
73
Standard deviation:
7
Sample size:
40
Difference -3.000
Standard error 1.681
95% CI -6.3462 to 0.3462
t-statistic -1.785
DF 78
Significance level P = 0.0782
Since p value >0.05,
b. Do not reject the null hypothesis
The ostrich can run 20 miles in 40 minutes.
<u>Solution:</u>
Given that, An ostrich run 6 mile in 12 minutes
We have to find how far he could come in 40 minutes
Now, according to the given information
Ostrich runs 6 miles ⇒ 12 minutes
Then, “n” miles ⇒ 40 minutes
Now, by criss cross multiplication we get,
Hence, the ostrich can run 20 miles in 40 minutes
Answer:
9.2
Step-by-step explanation:
You want the distance between A(2, 0) and B(0, 9).
<h3>Distance</h3>The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...
d = √((x2 -x1)² +(y2 -y1)²)
For the given points, this becomes ...
d = √((0 -2)² +(9 -0)²) = √(4+81) = √85
d ≈ 9.2
The distance between A and B is about 9.2 units.
Answer:
slope = 4
Step-by-step explanation:
We can find the slope of a line when knowing 2 points by using the slope formula, .
and
represent the x and y values of the first point, respectively.
and
represent the x and y values of the second point, respectively.
The two points we have are (2,8) and (0,0). So, in this case, = 2,
= 8,
= 0, and
= 0. Let's substitute those values into the formula and solve to get the slope:
So, the slope is 4.