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Vinil7 [7]
3 years ago
11

Find the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50%.

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

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Write the equation of the line that passes through the given points. (0,-1) and (-11,-4)
solong [7]

Answer:

Line equation

y=0.2727272727272727x−1                Slope 0.27         Intercept   -1

Step-by-step explanation:

5 0
3 years ago
Help what's 1x1+9x20​
zzz [600]

Answer:

The answer is 181

Step-by-step explanation:

PEDMAS

1 x 1 + 9 x 20

1 x 1 = 1

1 + 9 x 20

9 x 20= 180

1+180

which equals 181

5 0
2 years ago
Read 2 more answers
the Children's Hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations but it must
masha68 [24]

Answer:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

x ≥ 1,800

4 0
3 years ago
Read 2 more answers
Please EXPLAIN
11111nata11111 [884]

Answer:

<u>The correct answer is 58 1/2 feet. See below to understand the difference of both methods.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the question using both methods:

Area of each student = 4 1/2 square feet

Number of students = 13

2. Let's use the first method to solve the question:

4 1/2 = 9/2 (Improper fraction because the numerator, 9 is bigger than the denominator, 2)

9/2 * 13 = 117/2

<u>117/2 = 58 1/2 square feet</u>

3. Let's use the second method to solve the question:

4 1/2 = 4 + 1/2 (Using addition to rewrite the fraction)

(4 + 1/2) * 13 = (4 * 13) + (1/2 * 13) (Distributive property of the multiplication)

(4 * 13) + (1/2 * 13) = 52 + 13/2 = 52 + 6 1/2

<u>52 + 6 1/2 = 58 1/2 square feet</u>

5 0
3 years ago
Please help me! I have no idea how to do this
elena-s [515]

The best way to do this is to make up values for the sides.

Say the lengths of square B's sides are each 4 cm. That means A's sides are 2 cm.

So, the area of square B is 4^2 = 16 cm^2, and A's area is 4 cm^2. We can see the shaded area is half of A, so it's 2 cm^2.

What percent of 16 is 2?

2 / 16 * 100 = 12.5%

5 0
3 years ago
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