4x +1 =2x + 5
Need the answer please explain in detail because I’m writing a half page on how to solve it

Answer:

3

Step-by-step explanation:

30 + 18 = 48

5 + 3 = 8, 6 x 8 = 48

If this was helpful vote brainliest :)

Answer and Step-by-step explanation: This function is a probability density function of a random variable X:

[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]

and to calculate probabilities, we will have to integrate it:

[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

Solving:

[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]

Then:

a. P(X < 5)

[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]

[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]

[tex]P(X<5)=\frac{175}{256}[/tex]

P(X < 5) = 0.683

b. P(X < 9)

Since density function's upper limit is 8, probability of x < 9 is 100% or 1.

So, P(X < 9) = 1

c. P(5 < X < 7)

[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]

[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]

[tex]P(5<X<7)=\frac{70}{256}[/tex]

P(5 < X < 7) = 0.273

d. P(X > 3)

[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]

[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]

[tex]P(X>3)=\frac{175}{256}[/tex]

P (X > 3) = 0.683

e. P(X < x) = 0.95

[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]

[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]

[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]

[tex]12x^{2}-x^{3}=243.2[/tex]

[tex]-x^{3}+12x^{2}-243.2=0[/tex]

Solving this cubic equation, we have three values for x:

x₁ = -3.909

x₂ = 8.992

x₃ = 6.917

The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.

Answer:

10

Step-by-step explanation:

-7y + 35 + 8 = -27

collect like terms

-7y = -27 - 35 - 8

-7y = -70

y= -70/-7

y= 10

Answer:

20

Step-by-step explanation:

reasoning; you can see that all three of them form a 180 angle so you add 125+35 which is 160 then 180- 160 which is 20 that is the answer

hope it helps!

pls give brainliest

Answer:

10x+30

Step-by-step explanation:

Distributive property is distributing what is in the parentheses.

To do that on this problem you have multiply each of these numbers by 10!

10 times x is 10x

10 times 3 is 30

Put them back together and you get 10x+30!

I hope this helps, and have a great day! :)

P.S. If you need a better explanation I can help. I just didn't want to make this to long.  :D

Answer:

8 ounces

Step-by-step explanation:

Since there was 1 pint left, that means the mug had 1/2 pints of coffee.

Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2

16(1/2)

= 8

So, there were 8 ounces of coffee in the mug

Answer:

The second one. y = .2x + 1

Step-by-step explanation:

1 = .2*0 + 1

1.4 = .2*2 + 1

And so on

Hope this helps :)

Answer:

3.53

Step-by-step explanation:

I checked it using a calculator. :)

Answer:

Step-by-step explanation:

Adjacent angles when a line crosses another line must have a sum of 180 degrees.

52+2^(3x+1)=180

2^(3x+1)=128, 128=2^7 so

2^(3x+1)=2^7 which means

3x+1=7

3x=6

x=2

Answer:

25 7 x 5 is 35

Step-by-step explanation:

hope this helps have a good rest of your afternoon :) ❤

Answer:

5 times 5 is 25.

Step-by-step explanation:

Hope this helps you dude

s h r e k (in a maid outfit)

Answer:

its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.

Step-by-step explanation:

Nicole is more expansive

Step-by-step explanation:

x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24

Answer:

Step-by-step explanation:

Nicole is more expansive

Step-by-step explanation:

x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24

The selling price should be $88

Given that,

= $55 + (60% of $55)

= $55 + $33

= $88

Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults

Answer:

88

Step-by-step explanation:

Answer:

No they are equivalent

Step-by-step explanation:

3/7 =21/35

3/5=21/35

Answer:

no

Step-by-step explanation:

find a common denominator we are going to do 35

3/7= 15/35

3/5= 21/35

Answer:

286 minutes

Step-by-step explanation:

can you give brainlest or good review

Answer:

Hello!

Let's call X to the number of minutes of long-distance calls you plan to make.

The cost of plan A is given by 25%2B0.05X

The cost of plan B is given by 5%2B0.12X

Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality

5%2B0.12X+%3C+25%2B0.05X

And then solve for X. This will give us the range of minutes for which B is more convenient.

Subtract 5 from both sides of the inequality to get:

0.12X+%3C+20%2B0.05X

Now subtract 0.05X:

0.12X+-+0.05X+%3C+20

0.07X%3C20

Finally, divide by 0.07 to get:

X+%3C+20%2F0.07

X++%3C+285.71

So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.

I hope this helps!

Step-by-step explanation:

Answer:

3)x=−9  and x=4

4)x=−12  and x=−5

5)x=8  and x=14

6)x=−7  and x=3

7)x=-1 2/3 and x = 1/4

8)x=2/5

Step-by-step explanation:

Hope this helps

Answer:

x = 3

Step-by-step explanation:

You can use cross multiply.

8x = 6 x 4

8x = 24

x = 3

Answer:

x = 3

Step-by-step explanation:

Multiply x by 8 to get 8x

Multiply 6 by 4 to get 24

Place 8x and 24 into an equation to get 8x = 24

Divide 8x and 24 by 8

The 8 from 8x is canceled out, leaving the answer:

x = 3

Answer:

the answer is 13 units

Step-by-step explanation:

Answer:

15. 12

Step-by-step explanation:

just multiply them

Answer:

B.

Step-by-step explanation:

That's like the only answer that makes sense.

Answer:

19

Step-by-step explanation:

Answer:

b= -15

Step-by-step explanation:

First combine like terms 9-16= -7

Left 3b-7= -52

Next add 7 to both sides

Left 3b= -45

Finally divide

So b= -15

Answer:

n=-18

Step-by-step explanation:

subtract 8 from both sides.

then you do -10 subtracted by 8 and thats -18.

Answer:

he is the answer

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

45 cups

Step-by-step explanation:

Answer:

[tex]Mean = 68.9[/tex]

[tex]s^2 =18.1[/tex] --- Variance

Step-by-step explanation:

Given

[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

Solving (a): Calculate the mean.

The given data is a grouped data. So, first we calculate the class midpoint (x)

For 51 - 58.

[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]

For 59 - 66

[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]

For 67 - 74

[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]

For 75 - 82

[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]

For 83 - 90

[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]

So, the table becomes:

[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]

The mean is then calculated as:

[tex]Mean = \frac{\sum fx}{\sum f}[/tex]

[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]

[tex]Mean = \frac{2547.5}{37}[/tex]

[tex]Mean = 68.9[/tex] -- approximated

Solving (b): The sample variance:

This is calculated as:

[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]

So, we have:

[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]

[tex]s^2 =\frac{652.8}{36}[/tex]

[tex]s^2 =18.1[/tex] -- approximated