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Black_prince [1.1K]

2 years ago

11

If there are n boys and n girls in the class, what is the probability that all of the randomly chosen pairs of dancing partners

will consist of a boy and a girl?

1 answer:

ladessa [460]2 years ago

5 0

The solution is in the attachment

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What are the coordinates of the x-intercepts of the parabola y = x² - 8x + 15?

tamaranim1 [39]

Answer:

(3, 0) and (5, 0)

Step-by-step explanation:

we have

$y=x^{2}-8x+15$

we know that

The x-intercepts are the values of x when the value of y is equal to zero

so

For y=0

$x^{2}-8x+15=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}-8x+15=0$

so

$a=1\\b=-8\\c=15$

substitute in the formula

$x=\frac{-(-8)\pm\sqrt{-8^{2}-4(1)(15)}} {2(1)}$

$x=\frac{8\pm\sqrt{4}} {2}$

$x=\frac{8\pm2} {2}$

$x=\frac{8+2} {2}=5$

$x=\frac{8-2} {2}=3$

so

x=3, x=5

therefore

The x-intercepts are (3,0) and (5,0)

4 0

2 years ago

Raul can hit a golf ball 26.4 yards.A.J can hit a golf ball 10 timesbas far.How far can A.J hit the ball

tia_tia [17]

264 yards...
While multiplying decimals by 10, 100, 1,000 and so on, just move the decimal to the right by how many zeros you have in the number. Let’s say I have 7.9 x 10. Move the decimal one place to the right because you have ONE zero. Then your answer would be 79.

5 0

3 years ago

In a random sample of 205 people, 149 said that they watched educational television. Find the 95% confidence interval of the tru

tensa zangetsu [6.8K]

Answer: Given a sample of 200, we are 90% confident that the true proportion of people who watched educational TV is between 72.1% and 81.9%.

Step-by-step explanation:

$\frac{154}{200} =0.77$

$1-0.77=0.23$

$\sqrt{\frac{(0.77)(0.23)}{200} }$ =0.049

0.77±0.049< 0.819, 0.721

6 0

3 years ago

Simplify 2s + 4 + (-6s) +10

erma4kov [3.2K]

Answer:-4s+14

Step-by-step explanation: combined like terms.

2s-6s= -4s, 4+10=14

3 0

3 years ago

Read 2 more answers

Convert 2 inches into centimeters. Round your answer to the nearest tenth.

kobusy [5.1K]

Answer:

5.1 centimeters (5.08 not rounded)

Step-by-step explanation:

1 inch=2.54 centimeters

2.54*2=5.08

7 0

2 years ago