Given g(x)
=
3x + 6
2
and g(x) = 15, solve for x.

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:

[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

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:

A) convex

B) concave

C) scalene

Step-by-step explanation:

A) Convex:

A concave polygon have "caves."

All diagonals fit inside of a convex polygon.

B) Concave:

They have at least one diagonal on the outside. Not all fit snugly inside like a convex polygon.

C) Scalene:

Scalene polygons have sides that are all unequal from each other.

Below is a picture of convex and concave polygons.

Answer:

n=-18

Step-by-step explanation:

subtract 8 from both sides.

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

Answer:

40

Step-by-step explanation:

A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.

[tex]ms {}^{2} + sa {}^{2} = {ma}^{2} [/tex]

ms=6, sa =8 so we plug that in.

[tex]6 {}^{2} + {8}^{2} = ma {}^{2} [/tex]

Simplify

[tex]36 + 64 = ma {}^{2} [/tex]

[tex]100 = ma {}^{2} [/tex]

take sqr root

[tex] \sqrt{100} = ma[/tex]

[tex]ma = 10[/tex]

Now let find the perimeter

Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in

[tex]4(10) = 40[/tex]

The answer is 40

Answer:

[tex]P(Red) = 0.50[/tex]'

[tex]P(Odd) = 0.50\\[/tex]

Step-by-step explanation:

Given

[tex]Red = 38[/tex]

[tex]Blue = 38[/tex]

Required (Missing part of the question)

(a) The marble is red. (b) The marble is odd-numbered

Solving (a): Probability of Red.

This is calculated as:

[tex]P(Red) = \frac{Red}{Total}[/tex]

[tex]P(Red) = \frac{38}{38+38}[/tex]

[tex]P(Red) = \frac{38}{76}[/tex]

[tex]P(Red) = 0.50[/tex]

Solving (b): Probability of Odd

Since each marble type is numbered 1 to 38, then half of it are odd.

i.e. 19 odd numbered red marbles and 19 odd numbered blue marbles.

So, the probability of odd is:

[tex]P(Odd) = \frac{Odd}{Total}[/tex]

[tex]P(Odd) = \frac{19+19}{38+38}[/tex]

[tex]P(Odd) = \frac{38}{76}[/tex]

[tex]P(Odd) = 0.50\\[/tex]

Answer:

B.

Step-by-step explanation:

That's like the only answer that makes sense.

Answer:

Rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

Step-by-step explanation:

Given that in a year there are a total of twelve months, if he slept for 33% of the year, to determine how many months are spent sleeping the following calculation must be performed:

12 - (12 x 33/100) = X

12 - (12 x 0.33) = X

12 - 3.96 = X

8.04 = X

12 - 8.04 = 3.96

Thus, rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.

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:

he is the answer

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

30 + 18 = 48

5 + 3 = 8, 6 x 8 = 48

If this was helpful vote brainliest :)

Answer:

Hello your question is poorly written below is the complete question

An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean

answer : variance = 2

Step-by-step explanation:

compute the variance of the number of claims filed

x = number of claim filed

For Poisson distribution

mean = variance = Л

∴ Variance = 2

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I assume that they want the value of a when the solution exists.

2(ax+3y)+2x-6y=2(-5)+10

2ax+6y+2x-6y=-10+10

2ax+2x=0

ax+x=0

ax=-x

a=-1

You could then solve for x and y if you wanted x=5 and y=0

Unless a was a typo :)

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

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

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:

84

Step-by-step explanation:

7-5=2

2u-> 14

1u->7

7+5=12

12u-> 84

Answer:

boy=5  girls=7 + 14= 21 girls

Step-by-step explanation:

Answer:

Should be $11.25

Step-by-step explanation:

Since 25% is 1/4 you can just divide 45 by 4.

45/4 = 11.25

Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75

Step-by-step explanation:

Answer:

The vertex of a parabola is (h,k)

Step-by-step explanation:

The vertex form of a parabola is y=a(x-h)^2+k where a is the stretch/compression factor and (h,k) is the vertex. So to find the vertex, you will need (h,k) which represents the horizontal and vertical shift of the parabola

Answer:

58 dimes and 18 nickels

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:

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 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:

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:

Answer:

0.0228

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.

This means that [tex]\mu = 200, \sigma = 25[/tex]

The probability of a player weighing more than 250 pounds is

This is 1 subtracted by the pvalue of Z when X = 250. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{250 - 200}{25}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

The probability of a player weighing more than 250 pounds is 0.0228