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DENIUS [597]
3 years ago
12

Quick algebra problem, please show work!

Mathematics
1 answer:
cricket20 [7]3 years ago
5 0
5/x^2-1^2 + 3/x+1
5/(x+1)(x-1) + 3/x+1
5+3(x-1)/(x+1)(x-1)
5+3x-3/(x+1)(x-1)
Final answer : 3x+2/(x+1)(x-1)
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In a survey of adults who follow more than one sport, 30% listed football as their favorite sport. You survey 15 adults who foll
maxonik [38]

Answer: 0.5

Step-by-step explanation:

Binomial probability formula :-

P(x)=^nC_x\ p^x(q)^{n-x}, where P(x) is the probability of getting success in x trials , n is the total trials and p is the probability of getting success in each trial.

Given : The probability that the adults follow more than one game = 0.30

Then , q= 1-p = 1-0.30=0.70

The number of adults surveyed : n= 15

Let X be represents the adults who follow more than one sport.

Then , the probability that fewer than 4 of them will say that football is their favorite sport,

P(X\leq4)=P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)\\\\=^{15}C_{0}\ (0.30)^0(0.70)^{15}+^{15}C_{1}\ (0.30)^1(0.70)^{14}+^{15}C_{2}\ (0.30)^2(0.70)^{13}+^{15}C_{3}\ (0.30)^3(0.70)^{12}+^{15}C_{4}\ (0.30)^4(0.70)^{11}\\\\=(0.30)^0(0.70)^{15}+15(0.30)^1(0.70)^{14}+105(0.30)^2(0.70)^{13}+455(0.30)^3(0.70)^{12}+1365(0.30)^4(0.70)^{11}\\\\=0.515491059227\approx0.5

Hence, the probability rounded to the nearest tenth that fewer than 4 of them will say that football is their favorite sport =0.5

4 0
3 years ago
Does anyone know how too simplify 4(1-2b)+7b-10?
tekilochka [14]

Answer:

-1b-6

Step-by-step explanation:

4 0
3 years ago
Which is a pair of vertical angles?
Arte-miy333 [17]

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The first one is

Step-by-step explanation:

4 0
3 years ago
Hey I need help on a question real fast the question is if three equals B times seven then seven times be equals what
bonufazy [111]

Answer would be 14b.

3 0
3 years ago
Letry. 14 Chapter 9: Chapter 9 rest Chapter Test
BaLLatris [955]

Answer:

h = 7.1 cm

Step-by-step explanation:

To find the height of the triangle, we can first find the area of the triangle using the Heron's formula:

S = \sqrt{p(p-a)(p-b)(p-c)}

Where a, b and c are the sides of the triangle and p is the semi perimeter of the triangle:

p = \frac{a+b+c}{2} = \frac{15 + 8 + 17 }{2} = 20\ cm

So the area of the triangle is:

S = \sqrt{20(20-15)(20-8)(20-17)}

S = 60\ cm^2

Now, to find the height, we can use the following equation for the area of the triangle:

S = base * height/2

The height draw in the figure is relative to the side of 17 cm, so this side is the value of base used in the formula. So we have that:

60 = 17 * h/2

h = 120/17

h = 7.06\ cm

Rounding to the nearest tenth, we have h = 7.1 cm

4 0
3 years ago
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