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Ede4ka [16]
3 years ago
6

If events A and B are independent, and the probability that event A occurs is 83%, what must be true?

Mathematics
1 answer:
grandymaker [24]3 years ago
3 0
The probability of event B occurring is 17%.
Imagine that you enter 83 raffle tickets and a friend of yours enters 17 tickets. If you two are the only ones who enter, the chance you have (83%) + the chance your friend has (17%) will equal the 100% chance that either one of you or your friend's raffle ticket will be drawn.

I hope this helps!
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A drink contains 20% cranberry juice and the rest is apple juice. What is the ratio of cranberry juice to apple juice? A.1:20 B.
yarga [219]
20% of the juice is cranberry
80% of the juice is apple
Our ratio would be 20:80
We can simplify it and it will become
1:4

So your answer would be B. 1:4

I hope this helps :)
6 0
3 years ago
Which unit has the greatest capacity? Tablespoon, quart, Pint or teaspoon?
Tamiku [17]
Quart because it's bigger than a pint and a quart is the closest to a gallon
6 0
3 years ago
Read 2 more answers
In ΔQRS, q = 1.3 inches, r = 1.6 inches and ∠S=157°. Find the length of s, to the nearest 10th of an inch.
hjlf

Answer:

2.8

Step-by-step explanation:

using cosine rule

s^{2} = 1.3^{2} + 1.6^{2} - 2(1.3)(1.6)cos 157

s = \sqrt{8.0793} = 2.842 = 2.8

8 0
3 years ago
A group conducted a poll of 2083 likely voters just prior to an election. The results of the survey indicated that candidate A w
mart [117]

Answer:

With the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

Step-by-step explanation:

A group conducted a poll of 2083 likely voters.

The results of poll indicate candidate A would receive 47​% of the popular vote and and candidate B would receive 44​% of the popular vote.

The margin of error was reported to be 3​%

So we are given two proportions;

A = 47%

B = 44%

Margin of Error = 3%

The margin of error shows by how many percentage points the  results can deviate from the real proportion.

Case I:

A = 47% + 3% = 50%

B = 44% - 3% = 41%

Candidate A wins

Case II:

A = 47% - 3% = 44%

B = 44% + 3% = 47%

Candidate B wins

As you can see, with the given margin of error its is possible that candidate A wins and candidate B loses, and it is also possible that candidate B wins and candidate A loses. Therefore, the poll cannot predict the winner and this is why race was too close to call a winner.

5 0
3 years ago
Gradient of a straight line that is perpendicular to y = 4x + 2
lana66690 [7]
If a line's slope is \frac{a}{b}, the slope of the perpendicular line is -\frac{b}{a}
in this case, the given line has a slope 4, which is 4/1, so the perpendicular line has a slope/gradient -\frac{1}{4}
5 0
3 years ago
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