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3 years ago

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Mathematics

2 answers:

Troyanec [42]3 years ago

6 0

Answer:

81/x - 3 = 6
2x - 3 = 15

Tasya [4]3 years ago

3 0

Answer:

it's only the last two

Step-by-step explanation:

3x + 2 = 25

3x + 2 - 2 = 3x

25 - 2 = 23

3x = 23

3x / 3 = x

23 / 3 = 7 2/3

x = 7 2/3 not this one

x/3 + 7 = 8

x/3 + 7 - 7 = x/3

8 - 7 = 1

x/3 = 1

x/3 * 3 = x

1 * 3 = 3

x = 3 not this one

4 + 5x = 18

4 + 5x - 4 = 5x

18 - 4 = 14

5x = 14

5x / 5 = x

14 / 5 = 2 4/5 not this one

24 - 2x = 13

24 - 2x - 24 = -2x

13 - 24 = -11

-2x = -11

-2x / -2 = x

-11 / -2 = 5 1/2 not this one

81/x - 3 = 6

81x - 3 + 3 = 81/x

6 + 3 = 9

81/x = 9

81/x * x = 81

9 * x = 9x

81 = 9x

81 / 9 = 9

9x / 9 = x

9 = x this one

2x - 3 = 15

2x - 3 + 3 = 2x

15 + 3 = 18

2x = 18

2x / 2 = x

18 / 2 = 9

x = 9 this one

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10) Thirty-seven percent of the American population has blood type O+. What is the probability that at least four of the next fi

lisabon 2012 [21]

Answer:

0.06597

Step-by-step explanation:

Given that thirty-seven percent of the American population has blood type O+

Five Americans are tested for blood group.

Assuming these five Americans are not related, we can say that each person is independent of the other to have O+ blood group.

Also probability of any one having this blood group = p = 0.37

So X no of Americans out of five who were having this blood group is binomial with p =0.37 and n =5

Required probability

=The probability that at least four of the next five Americans tested will have blood type O+

= $P(X\geq 4)\\= P(X=4)+P(x=5)\\= 5C4 (0.37)^4 (1-0.37) + 5C5 (0.37)^5\\= 0.06597$

7 0

3 years ago

Read 2 more answers

Can someone solve this

valentinak56 [21]

triangle TUV is congruent to triangle TBA

by SAS congruency

hope it helps...!!!!

3 0

2 years ago

find the volume of the solid formed by revolving the region bounded by the graphs of y = 4x - x^2 and f(x) = x^2 from [0,2] abou

Neko [114]

Answer:

$v = \frac{32\pi}{3}$

$v=33.52$

Step-by-step explanation:

Given

$f(x) = 4x - x^2$

$g(x) = x^2$

$[a,b] = [0,2]$

Required

The volume of the solid formed

Rotating about the x-axis.

Using the washer method to calculate the volume, we have:

$\int dv = \int\limit^b_a \pi(f(x)^2 - g(x)^2) dx$

Integrate

$v = \int\limit^b_a \pi(f(x)^2 - g(x)^2)\ dx$

$v = \pi \int\limit^b_a (f(x)^2 - g(x)^2)\ dx$

Substitute values for a, b, f(x) and g(x)

$v = \pi \int\limit^2_0 ((4x - x^2)^2 - (x^2)^2)\ dx$

Evaluate the exponents

$v = \pi \int\limit^2_0 (16x^2 - 4x^3 - 4x^3 + x^4 - x^4)\ dx$

Simplify like terms

$v = \pi \int\limit^2_0 (16x^2 - 8x^3 )\ dx$

Factor out 8

$v = 8\pi \int\limit^2_0 (2x^2 - x^3 )\ dx$

Integrate

$v = 8\pi [ \frac{2x^{2+1}}{2+1} - \frac{x^{3+1}}{3+1} ]|\limit^2_0$

$v = 8\pi [ \frac{2x^{3}}{3} - \frac{x^{4}}{4} ]|\limit^2_0$

Substitute 2 and 0 for x, respectively

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ \frac{2*0^{3}}{3} - \frac{0^{4}}{4} ])$

$v = 8\pi ([ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ] - [ 0 - 0])$

$v = 8\pi [ \frac{2*2^{3}}{3} - \frac{2^{4}}{4} ]$

$v = 8\pi [ \frac{16}{3} - \frac{16}{4} ]$

Take LCM

$v = 8\pi [ \frac{16*4- 16 * 3}{12}]$

$v = 8\pi [ \frac{64- 48}{12}]$

$v = 8\pi * \frac{16}{12}$

Simplify

$v = 8\pi * \frac{4}{3}$

$v = \frac{32\pi}{3}$

$v=\frac{32}{3} * \frac{22}{7}$

$v=\frac{32*22}{3*7}$

$v=\frac{704}{21}$

$v=33.52$

8 0

3 years ago

X + 2y = 5 3x + 5y = 14 Solve the system of equations. (3.1) (7.-1) (2.3/2)

son4ous [18]

Answer:

(3,1) because x is 3 and y is 1.

Step-by-step explanation:

x+2y=5

3x+5y=14

Multiply first equation by 3:

3x+6y=15

3x+5y=14

Subtract 3x:

1y=1

Therefore, y = 1

Plug it back into 1st equation:

x+2(1)=5

x+2=5

Therefore, x = 3

Judging from your answers, it looks like (3,1) because x is 3 and y is 1.

I hope this helped!

5 0

3 years ago

Evaluate please I need helppppp

IrinaK [193]

Answer:

-5 sorry if it's wrong. I tried.

5 0

3 years ago

Read 2 more answers

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