Answer:
Step-by-step explanation:
A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,
For finding the x intercept , <u>equate the given function with 0, we have ;</u>
Equate each factor with 0 ,
Divide both sides by 2 ,
Again ,
Taking squareroot on both sides,
Add 5 to both sides,
Similarly ,
<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>
{ See attachment also for graph } .
(21 + 34 + x + 25 + 37 + 22) / 6 = 30
(139 + x) / 6 = 30 .....multiply both sides by 6
139 + x = 30 * 6
139 + x = 180
x = 180 - 139
x = 41......so during week 3, she rode her bike 41 miles
Answer:
495 combinations of 4 students can be selected.
Step-by-step explanation:
The order of the students in the sample is not important. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.

How many combination of random samples of 4 students can be selected?
4 from a set of 12. So

495 combinations of 4 students can be selected.
Question 9 answer is 0.375
Question 10 answer is 0.03125
roulette consists in placing a small ball in a roulette wheel, Probability (Roulette ball not landing on red) = 10 / 19
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes
Given:
Number of total slots = 38
Number of red slots = 18
Number of black slots = 18
Number of green slots = 2
Find:
Probability (Roulette ball not landing on red)
Computation:
Probability (Roulette ball not landing on red) = 1 - Probability (Roulette ball landing on red)
Probability (Roulette ball not landing on red) = 1 - (18 / 38)
Probability (Roulette ball not landing on red) = 20 / 38
Probability (Roulette ball not landing on red) = 10 / 19
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