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jasenka [17]
2 years ago
8

Solve the systems of equations by substitution 3/8x + 1/3y = 17/24 X + 7y = 8

Mathematics
2 answers:
Sedaia [141]2 years ago
8 0

Answer:

If your solving for y...

The answer would be: y = -9/8x + 17/8 I believe.

For the second one... it would be : y = -1/7x + 8/7

Step-by-step explanation:

Aleonysh [2.5K]2 years ago
5 0
The answer would be the one above because its correct
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The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
2 years ago
1 p
dlinn [17]

Answer:

V = pi * R^2 * h

R = (V / (pi * h))^1/2 = (141.3 / (3.14 * 5))^1/2 = 3 cm

8 0
3 years ago
I know...another one
asambeis [7]

I'm so confused what do you need help with?

4 0
3 years ago
How does 2 relate to 3
erik [133]

Answer:

The number that was added to the previous number is doubled.

For example:

2+1 = 3

2x1= 2

3+2= 5

2x2=4

5+4=9

4x2=8

8+9=17

I hope this helps:)

4 0
2 years ago
What is the general equation of a sine function with an amplitude of 6, a period of pi/4, and a horizontal shift of pi/2?
agasfer [191]

The general equation of the sine function y=f(x) is defined as

Y=AsinB(x-C)+D

where A is the Amplitude

B represents the frequency of the function with period equals 2\pi/B

C represents the Horizontal shift, For Phase shift= -C/B

D represents the Vertical shift.

The data given that the amplitude of the function A=6

B=\frac{2\pi}{Current\,  period}=\frac{2\pi}{\pi/4}=8

Vertical shift D= 0

Horizontal Shift C= \pi/2

Now plug in \neq A=6, B=8\,  and \, C=\pi/2 in the general equation of sine function, we get

y=6\sin8(x-\pi/2)+0\\y=6\sin 8(x-\pi/2))

4 0
3 years ago
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