Answer:
C and D
Step-by-step explanation:
The y-intercept is the same for both.
The graph and the equation express an equivalent function.
Answer:
Based on the data, if we find moderate/strong evidence against the null hypothesis and conclude the mean arsenic level of the water is greater than 8.0 ppb, we have made ____________.
a correct decision.
Step-by-step explanation:
Since there is enough evidence to conclude that the mean level of arsenic is greater than 8.0 ppb, the correct decision has been made. There is no type I or type II error. The type I error (called a false positive) occurs if we reject the null hypothesis when it is true. Since we have simply rejected the null hypothesis when the alternate hypothesis is true, and the null hypothesis should be rejected, a correct decision has been made.
Answer:
121
Step-by-step explanation:
180 - (56 + 65) = 59
180 - 59 = 121
Using the concept of probability and the combination formula, it is found that there is a 0.4444 = 44.44% probability they get to be on the same team.
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- A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
- The order in which the children are chosen is not important, which means that the combination formula is used to find the number of outcomes.
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<u>Combination formula:
</u>
is the number of different combinations of<u> x objects from a set of n elements</u>, given by the following formula.
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Finding the number of desired outcomes:
- Andy and Ollie on the same team, plus 3 children from a set of 8.
- Can be on either team, blue or red, so multiplied by 2.
![D = 2C_{8,3} = 2\frac{8!}{3!5!} = 112](https://tex.z-dn.net/?f=D%20%3D%202C_%7B8%2C3%7D%20%3D%202%5Cfrac%7B8%21%7D%7B3%215%21%7D%20%3D%20112)
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Finding the number of total outcomes:
- <u>5 children from a set of 10</u>, thus:
![T = C_{10,5} = \frac{10!}{5!5!} = 252](https://tex.z-dn.net/?f=T%20%3D%20C_%7B10%2C5%7D%20%3D%20%5Cfrac%7B10%21%7D%7B5%215%21%7D%20%3D%20252)
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The probability is:
![p = \frac{D}{T} = \frac{112}{252} = 0.4444](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7BD%7D%7BT%7D%20%3D%20%5Cfrac%7B112%7D%7B252%7D%20%3D%200.4444)
0.4444 = 44.44% probability they get to be on the same team.
A similar problem is given at brainly.com/question/22931444
Answer:
The triangle is right angled
Step-by-step explanation:
Explanation:
As the largest side is
15 yards and smaller sides are 9 yards and 12 yards
from Pythagoras theorem, if the triangle is right angled square of largest side should be equal to sum of the squares of smaller two sides.