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Mice21 [21]
2 years ago
13

You flip 15 fair coins once. What is the probability of getting at least 12 heads?

Mathematics
1 answer:
AVprozaik [17]2 years ago
3 0

Answer:

0.017578 or 1.76%

Step-by-step explanation:

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Suppose that a high school marching band has 125 members. Of these 125 band members, 41 are seniors, 24 play the trumpet, and 10
Alborosie

Answer:

<em>The probability is 42%</em>

Step-by-step explanation:

<u>Conditional Probability</u>

It's the probability of the occurrence of an event B knowing that an event A has already occurred and A and B are related (not independent).

If P(A) is the probability of occurrence of A, P(A\cap B) is the probability of both events to occur, and P(B|A) is the required probability occurrence of B:

\displaystyle P(B|A)=\frac{P(A\cap B)}{P(A)}

We know a high school marching band has 125 members, from which 41 are seniors (event B), 24 play the trumpet (event A), and 10 are seniors who play the trumpet.

The probability that a randomly selected band member plays the trumpet is

\displaystyle P(A)=\frac{24}{125}

The probability that he or she has both attributes is

\displaystyle P(A\cap B)=\frac{10}{125}

Thus, the required conditional probability is

\displaystyle P(B|A)=\frac{\frac{10}{125}}{\frac{24}{125}}

\displaystyle P(B|A)=\frac{10}{24}=\frac{5}{12}=0.42

The probability is 42%

5 0
2 years ago
A salesman’s commission on a $150,000 sale is $3,000. What percent is his commission?
Elenna [48]

Answer:

The commission percentage is 2%

Step-by-step explanation:

To find the percentage of a commission, start by dividing the commission amount by the total amount sold.

3,000/150,000 = .02 = 2%

5 0
1 year ago
dr.drazzle collected 70 liters of ocean water to test for antibacterial properties. he split the water into 100 samples . how mu
Annette [7]

Answer:

Each sample contains 0.70 liters of water.

Step-by-step explanation:

Dr Drazzle collected 70 liters of water of ocean water to test and he split the water into 100 samples.

So by unitary method we can calculate the amount of water in each sample.

∵ 100 samples contain the amount of water = 70 liters

∴ 1 sample contains the amount of water = 70/100 = 0.70 liters

So the answer is 0.70 liters in each sample.

8 0
1 year ago
A price was increasing at a rate of 15% per month what is the annual growth rate enter your answer rounded to the nearest tenth
Leokris [45]
Hello there! I can help you! The formula for finding the annual growth rate is (1 + r)^t. In other words, you add the rate in decimal form from 1 and raise it to the t power, depending on how many times it is compounded. 15% is 0.15 in decimal form. 1 + 0.15 is 1.15. We have that number. Now, we are looking for the annual growth rate. It increases monthly, annual has to do with 1 year, and there are 12 months in 1 year. Now, let's raise 1.15 to the 12th power. 1.15^12 is 5.350250105. Don't delete it. We can subtract 1 from that number to get 4.350250105. Now, let's multiply it by 100 to get the answer in percent form. When you do, you get 435.0250105 or 435 when rounded to the nearest tenth, because there is a 0 in the tenths place. We can subtract There. The annual growth rate is about 435%.
7 0
1 year ago
Read 2 more answers
PLEASE HELP ME  Which of the following is the correct graph of the compound inequality 4p + 1 &gt; −7 or 6p + 3 &lt; 33? (1 poin
nikitadnepr [17]
The first inequality has solution
  4p > -8 . . . . . . subtract 1
  p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.

Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
  a number line with open circles at negative 2 and 5 with shading in between
4 0
2 years ago
Read 2 more answers
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