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3 years ago

6

This using the substitution method

1 answer:

Kruka [31]3 years ago

7 0

4(3/2y+2)+3y=26
6y+8+3y=26
add the y's together
9y+8=26
subtract 8 on both sides
9y=18
divide by 9 on both sides
y=2
(then substitute 2 for y)
4x+3(2)=26
4x+6=26
subtract 6 on both sides
4x=20
divide by 4 on both sides
x=5

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Suppose a random variable x is best described by a uniform probability distribution with range 22 to 55. Find the value of a tha

const2013 [10]

Answer:

(a) The value of <em>a</em> is 53.35.

(b) The value of <em>a</em> is 38.17.

(c) The value of <em>a</em> is 26.95.

(d) The value of <em>a</em> is 25.63.

(e) The value of <em>a</em> is 12.06.

Step-by-step explanation:

The probability density function of <em>X</em> is:

$f_{X}(x)=\frac{1}{55-22}=\frac{1}{33}$

Here, 22 < X < 55.

(a)

Compute the value of <em>a</em> as follows:

$P(X\leq a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.95\times 33=[x]^{a}_{22}\\\\31.35=a-22\\\\a=31.35+22\\\\a=53.35$

Thus, the value of <em>a</em> is 53.35.

(b)

Compute the value of <em>a</em> as follows:

$P(X< a)=\int\limits^{a}_{22} {\frac{1}{33}} \, dx \\\\0.95=\frac{1}{33}\cdot \int\limits^{a}_{22} {1} \, dx \\\\0.49\times 33=[x]^{a}_{22}\\\\16.17=a-22\\\\a=16.17+22\\\\a=38.17$

Thus, the value of <em>a</em> is 38.17.

(c)

Compute the value of <em>a</em> as follows:

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.85=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.85\times 33=[x]^{55}_{a}\\\\28.05=55-a\\\\a=55-28.05\\\\a=26.95$

Thus, the value of <em>a</em> is 26.95.

(d)

Compute the value of <em>a</em> as follows:

$P(X\geq a)=\int\limits^{55}_{a} {\frac{1}{33}} \, dx \\\\0.89=\frac{1}{33}\cdot \int\limits^{55}_{a} {1} \, dx \\\\0.89\times 33=[x]^{55}_{a}\\\\29.37=55-a\\\\a=55-29.37\\\\a=25.63$

Thus, the value of <em>a</em> is 25.63.

(e)

Compute the value of <em>a</em> as follows:

$P(1.83\leq X\leq a)=\int\limits^{a}_{1.83} {\frac{1}{33}} \, dx \\\\0.31=\frac{1}{33}\cdot \int\limits^{a}_{1.83} {1} \, dx \\\\0.31\times 33=[x]^{a}_{1.83}\\\\10.23=a-1.83\\\\a=10.23+1.83\\\\a=12.06$

Thus, the value of <em>a</em> is 12.06.

7 0

3 years ago

GIVING BRAINLIEST!!!

mezya [45]

Answer:

D, (6,1), (8,8), (12,22), (20,50)

Step-by-step explanation:

Hope this helps!! :D

8 0

3 years ago

Sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 peopl

disa [49]

Answer:

p value from chi square = 0.081

Step-by-step explanation:

Given that sociologists say the percentage of the classic music lovers is about 5%. From the survey, we know that only 83 out of 2000 people listen to the classic music. Let denote the proportion of the classic music lovers. The hypotheses are H0: p=0.05 vs Ha: p≠0.05

p value = 0.09

Instead of this if we do chi square

H0: Proportion of music lovers is 5% and non music lovers is 95%

Ha: Proportions are not as per the estimate

(Two tailed chi square test)

Observed 83 1917 2000

Expected 100 1900 2000

O-E -17 17 0

chi square

(O-E)^2/E 2.89 0.1521 3.0421

df =1

p value from chi square = 0.081

Though p value is not exactly the same, the conclusion in both tests are the same

5 0

3 years ago

The polynomial in standard form that represents the perimeter of the quadrilateral

Naddik [55]

Answer:

3(4x-1)

Step-by-step explanation:

I hope this is correct and helpful

6 0

3 years ago

Question 1 of 10<br> (x)=x2. What is g(x)?<br> y<br> f(x)<br> g(x)<br> -5<br> 6<br> (3, 3)<br> 5

never [62]

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

<h3>What is a Function ?</h3>

A function is a mathematical statement that relates a dependent variable and an independent variable.

It is given that

f(x) = x²

It has been asked to determine the equation of g(x)

It can be seen from the graph the the vertex is same just the graph is scaled.

The point (3,3) is of g(x) , when the value of y at at x =3 is 9

Therefore the scale factor is 1/3

And we can do trial and error on the basis of the options given ,

The graph is attached and the answer to the function g(x) = (1/3)x²

Option A is the right answer.

To know more about Function

brainly.com/question/12431044

#SPJ1

6 0

2 years ago