The final grade of fran can be calculated
by multiplying the corresponding percentage of his average homework, quizzes
and tests, then sum it up and it is now the final grade of fran.
Final grade = (0.10 x 92) + ( 0.20 x 68) +
(0.70 x 81)
<span>Final grade = 79.5 </span>
<span>We have
</span>

Let's take 6 out from the series

<span>Now multiply and divide by 9
</span>


<span>all 1s add up to n
</span>
Answer:
1. d. Two sided t-test
2. b. 0.000193
3. a. Since p- value is very small we can conclude that the more soda the student drink the heavier they get.
4. c. Test in inconclusive; thus we cannot claim that there is a correlation between drinking soda and weight.
Step-by-step explanation:
The hypothesis testing is used to test the claim against the alternative hypothesis. The p value is determined in order to conclude the result for the test as whether to accept or reject the null hypothesis. The null hypothesis can be accepted when the p value is greater than the critical value of the t-test.
Answer:
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of times Bijan run around the neighborhood block = 20
Total distance Bijan run = 8 miles
Length of the block = 3/20 = 0.15 miles
2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.
Let's find the perimeter of the neighborhood block and the width, this way:
A. Rule of Three Direct for find the perimeter:
Laps Distance
20 8 miles
1 x miles
x * 20 = 8
20x = 8
x = 8/20
x = 2/5 or 0.4 miles
B. Formula of the perimeter to find the width
Perimeter = 2 Length + 2 Width
Replacing with the real values we know:
0.4 = 2 * 0.15 + 2w
0.4 = 0.3 + 2w
0.4 - 0.3 = 2w
0.1 = 2w
w = 0.1/2
w = 0.05 miles
<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>
You can do prime factorization then find common factors to factor out.
6m² - 15m
2·3·m·m - 3·5·m
Both terms have 3·m so we can factor it out:
3·m (2·m - 5)
So that would be 3m (2m - 5)