Prove: a^2+b^2/2 ≥ab

Answer: 1/2 and 3/2

Step-by-step explanation:

Like fractions have the same denominator

Answer:

7.2

Step-by-step explanation:

Answer:

7 2/9; estimate is about 7

Step-by-step explanation:

convert mixed numbers to improper fractions

(whole number × denominator + numerator)

104/3 ÷ 24/5

copy dot flip

104/3 × 5/24

multiply numerators

520

multiply numerators

72

520/72

convert back to mixed numbers

7 16/72

simplify

7 2/9

Solutions: x=1.

Hope this helps!

Answer:

Trailer Park Boys I believe

Answer:

trailer park boys i think

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The expected amount to be lost is  0.5263 cents per game

b

The expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

Step-by-step explanation:

From the question we are told that

   The probability of winning is  [tex]p = \frac{1}{38} = 0.0263[/tex]

Generally the probability of losing is mathematically evaluated as

            [tex]q =  1-p [/tex]

=>        [tex]q = 1-0.0263 [/tex]

=>        [tex]q = 0.9737[/tex]

Generally the expected value is mathematically represented as

      [tex]E(X) =  \sum x_i *  P(x_i)[/tex]

Here [tex]x_i[/tex] is a discrete variable (i.e it is a countable )  are outcomes of the player winning and the player losing

So

     [tex]E(X) =   x_1 *  P(x_1) + x_2 *  P(x_2)  [/tex]

Now the outcome of winning is  making $350  so

       [tex]x_1 = \$ 350[/tex]

        the outcome of losing is losing $10  so  

        [tex]x_2 = - \$10[/tex]

So

     [tex]E(X) =  350* 0.0263 -10 *  0.9737  [/tex]

       [tex]E(X) = -0.5263 [/tex]

hence the expected amount to be lost is  0.5263 cents per game

If you played the game 1000​ times, the amount that is expected to be lost is  

    [tex]P =  1000 * -0.5263[/tex]

=> [tex]P = -\$ 526 .3 [/tex]

Hence the expected amount to be lost is  

     [tex]P = \$ 526 .3 [/tex]

Answer:

1. y² = 169

taking a square root of both sides

y = √169

we know that 13 * 13 = 169

since when squaring a number, the signs on the numbers do not matter

(i.e - 2* 2 = 4 and (-2)*(-2) = 4)

So (-13) * (-13) = 169 as well

Hence we can say that √169 = ±13      OR      √169 = +13   and   -13

2. Volume of a cube-shaped crate = side*side*side

Volume = side³

(We are given that volume = 27)

27 = side³

side = ∛27

Since 3*3*3 = 27     and (-3)*(-3)*(-3) = 27

So, we can say that ∛27  = ± 3

BUT

the side of a crate cannot be negative, so the side will NOT be -3 and hence,

side = 3

3. b³ = 1000

we know that 10*10*10 = 1000    and     (-10)*(-10)*(-10) = 1000

So, ∛1000 =  ∛(10*10*10)= ±10

4. Area of a square(Patio)  = Side²

Area = Side²

196 = Side² (Since we are given the area of the patio)

Side = √196 = √(14*14) or √(-14*-14)

Hence,

Side = + 14 or -14

but the side of a patio cannot be negative

Side = +14 ft

Answer:

10

Step-by-step explanation:

At first, (goh)(x)= g{h(x)}

= g{2x-2}

={2x-2}^2 +3x

[tex] = 4 {x}^{2} - 8x + 4 + 3x \\ = 4 {x}^{2} - 5x + 4 \\ then \: \:(goh)(2) = 4 \times {2}^{2} - 5 \times 2 + 4 \\ = 16 - 10 + 4 \\ = 10[/tex]

hope u got it.....

Answer:

B. 11 MPH

Step-by-step explanation:

60/4=15

15-11=4

Answer:

he total time is 4 seconds. The elevator descends 10 feet each second so the total is:

4seconds x -10 feet/sec = -40 feet

The total change in elevation is -40 feet. You need the negative sign because the elevator is moving downward. Hope this helps!

Answer:

The sample size n will be "52".

Step-by-step explanation:

The given values are:

c = 0.98​

σ = 8.7

Margin of error

E = 2

[tex]Z_{\frac{\alpha}{2} }=Z_{\frac{0.1}{2} }=1.65[/tex]

For 90% confidence level:

⇒  [tex]n=[\frac{Z_{\frac{\alpha}{2}}\times \sigma}{E} ]^2[/tex]

⇒     [tex]=[\frac{1.65\times 8.7}{2} ]^2[/tex]

⇒     [tex]=51.5165[/tex]

i.e.,

⇒  [tex]n=52[/tex]

Answer:

Step-by-step explanation:

You can easily find the slope by using two points. Let’s use (13, 11) and (14, 6)

We look at the slope equation as: y2 - y1 divided by x2 and x1.

13 = x1 11= y1 and 14= x2 6=y2

Plug in: 6-11/14-13 and solve

Answer: -5

Hope I made sense :)

Answer:

Slope (m) = -5

Step-by-step explanation:

*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.

Let's verify this ...

For the first two points:

Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]

For the next two points:

m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]

*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.

Taking another point (x,y) on the line and point (13,11);

m = [tex]\frac{y - 11}{x - 13} = -5[/tex]

y = -5x + 65 + 11

y = -5x + 76

First, isolate the variable:

x>-33

The answers would be 25, 14, -25.

I am not sure if that is a more than sign or a more than or equals sign; if it is a more than sign the answers mentioned above are the only answers, but if it a more than or equals sign, the answers are 25, 14, -25, -33.

If it helped please consider giving be brainliest :)

Answer:

Step-by-step explanation:

Solving in steps

Correct answer choices:

Given parameters:

Equation of the line is y = -[tex]\frac{1}{2} x[/tex] + 8

Unknown:

Slope of line parallel to this line = ?

Slope of line perpendicular = ?

Solution:

A line parallel to this line will have the same slope with it.

A line perpendicular will have the negative inverse of this slope;

Slope of line  = - [tex]\frac{1}{2}[/tex]

Slope of line parallel to this line = [tex]-\frac{1}{2}[/tex]

Slope of line perpendicular = negative inverse = -( -([tex]\frac{1}{\frac{1}{2} }[/tex]))   = 2

So, the slope of line parallel to this line is - 1/2 and that perpendicular is 2

Answer:

[tex]\frac{x-4}{(x+3)(x-5)}[/tex]

Step-by-step explanation:

Since the rational function has vertical asymptotes at -3, and 5, the denominator must equal 0 when x is -3 or 5. Therefore, the denominator must be:

(x+3)(x-5)

Now, to make the x-intercept at (4, 0), the numerator must be equal to 0 when x is 4. Therefore, the numerator must be:

x-4

Therefore, that rational function is:

[tex]\frac{x-4}{(x+3)(x-5_}[/tex]

Step-by-step explanation:

Let the smaller number be x.

So, according to Question,

the larger number will be 1+4x.

Now, sum of the numbers is 61, like this:-

[tex]1 + 4x + x = 61[/tex]

[tex]5x = 61 - 1[/tex]

[tex]5x = 60[/tex]

[tex]\tt{x = \dfrac{60}{5}}[/tex]

[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.

Hope it helps :)

Answer:

34 quarters.

6 nickles.

Step-by-step explanation:

Answer:

0.46

Step-by-step explanation:

Answer:

0.4667

Step-by-step explanation:

First off, we'll interpret the fraction bar to mean "divided by." This means that 7/15 is the same as 7 divided by 15.

Second, you have requested to see 3 decimal places in your answer, so we'll write the 7 as 7.000 instead (a 7 with 3 zeros after the decimal point).

Now, we'll just do what the fraction bar says: divide 7.000 by 15:

And that's about it! 7/15 written as a decimal to 3 decimal places is 0.467

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

Answer:

A

Step-by-step explanation:

We want to write the equation of the line as shown in the graph.

First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.

We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:

[tex]m=\frac{-1-5}{2-0}[/tex]

Subtract and reduce. So, our slope is:

[tex]m=-6/2=-3[/tex]

Therefore, our slope is -3.

Now, we can use the point-slope form to find the equation. Point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is our slope and (x₁, y₁) is any point the line crosses.

First, since we already know that our slope is -3, let's substitute -3 for m:

[tex]y-y_1=-3(x-x_1)[/tex]

So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.

Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.

For A, we have:

[tex]y+7=-3(x-4)[/tex]

We can rewrite this as:

[tex]y-(-7)=-3(x-(4))[/tex]

Therefore, in A, our point is (4, -7).

Now, check. Does our line actually pass through (4, -7).

From the graph, we can see that it does. Therefore, A is our correct answer!

However, let's do B just to confirm. For B, we have:

[tex]y+1=-3(x+2)[/tex]

We can rewrite this as:

[tex]y-(-1)=-3(x-(-2))[/tex]

So, our point is (-2, -1).

Does our line pass through (-2, -1)?

Upon inspection, our line does not pass through (-2, -1). So, B is not correct.

So, our answer is A.

And we're done!

Answer:

Step-by-step explanation:

Let the initial number of marbles be x

Then added 3 and got 9 as final number

Equation for this and solution

Answer:

117188652

Step-by-step explanation:

Answer:

117,188,652

Step-by-step explanation:

Hope this helps!! And good luck!

Answer:

C. 8,034

Step-by-step explanation:

26 x 309 = 8,034

Answer:

117/125

Step-by-step explanation:

Answer:

117/125

Step-by-step explanation:

Answer:

y=-1/10 x - 41/10

Step-by-step explanation:

slope: y2-y1 / x2-x1 = -5-(-4) /  9-(-1) = -1/10

y= -1/10 x +b, substitute (-1,-4) to solve b

-4=-1/10 (-1) +b

b=-41/10

Answer:

a)The average salary, then, for accountants in Canada is $2352

b) The standard deviation of the salary, then, for accountants in Portugal is $388.2

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.

z = (x-μ)/σ

z = 0.50, x =$2,646.00 μ = ?? σ = $588

Hence,

0.50 = 2,646 - μ/588

0.50 × 588 = 2,646 - μ

294 = 2,646 - μ

μ = 2,646 - 294

μ = $2352

Therefore, the average salary, then, for accountants in Canada is $2352

b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .

z = (x-μ)/σ

z = 2, x = $2,329.40 μ =$1,553 σ = ?

2 = ($2,329.40 - $1,553)/σ

2σ = $2,329.40 - $1,553

σ = $2,329.40 - $1,553/2

σ = $776.4 /2

σ = $388.2

Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2