Answer:
Step-by-step explanation:
When,x= -1
Now,
f(-1)=-(-1)^2+6
=1+6
=7
Hope it helped you.
Angle 1 is an alternate interion angle to the angle of 32°.
Therefore, angle 1 must be 32°.
The answer is 450 ml.
First, we need to solve x (the amount of orange juice):
<span>x + (x + 100) + one half x = 1850
</span>x + x + 100 + 1/2 x = 1850
We can represent 1/2 as 0.5:
2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.
Thus, in the fruit punch, there is 700 ml of orange juice.
<span>The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).
</span>
The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).
<span>The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
</span>the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - <span>350 ml of strawberry juice = 450 ml.
</span>
Answer:
A
Step-by-step explanation:
2.34 divided by 6 so then that gives you o.39
Using the hypergeometric distribution, it is found that there is a 0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
The people are chosen without replacement from the sample, hence the <em>hypergeometric distribution </em>is used to solve this question.
<h3>What is the
hypergeometric distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- N is the size of the population.
- n is the size of the sample.
- k is the total number of desired outcomes.
In this problem:
- There is a total of 18 people, hence
.
- 2 people will be chosen, hence
.
- David and Valerie corresponds to 2 people, hence
.
The probability that both get picked is P(X = 2), hence:


0.0065 = 0.65% probability that both David and Valerie get picked for the Tahitian dance lesson.
You can learn more about the hypergeometric distribution at brainly.com/question/25783392