Which expression is equivalent to the problem above?​

Answer:

32.8

Step-by-step explanation:

The average is calculated as

average = [tex]\frac{sum}{count}[/tex]

let x be the fourth number, then

[tex]\frac{24.2+14.5+50.5+x}{4}[/tex] = 30.5 ( multiply both sides by 4 )

89.2 + x = 122 ( subtract 89.2 from both sides )

x = 32.8

Thus the fourth number is 32.8

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer:A

Step-by-step explanation:

Answer:

one or seven READ DESCRIPTION

Step-by-step explanation:

y =-3x. -9x-4y=21

-9x+12x=21

3x=21

3*7=21

if you didn't mean to do a double negative then it would be one, but otherwise it's seven

Answer:

one

Step-by-step explanation:

right on edge

Answer:

hat=£(9*9)/3*24)/3/8/9

Scarf=£1.5

Step-by-step explanation:

Let's suppose hats is the variable h

And Let's suppose scarves is the variable s

3h+2s=12

5h+4s=21

so, 3h+2s=12 which is also 2s=12-3h

so, in the equare 5h+4s=21 we can replace the 4s with 2(12-3h) Now the equation is this:

5h+24-6h=21

*Simplified*

Now 5h-6h= -1h

-1h+24=21

+1h      +1h

on each side.

now the equation is(remember 1h=h): 24=h+21

I think you can do it now.

Now with the cost of the hats, we can use the first equation: 3h+2s=12

h=3

3*3=9

-9    -9

2s=3

s=1.5

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer:

y=8x2+8x−12

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

(4,4)

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

Answer:

answer = 2

Step-by-step explanation:

1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )

1 + (1 - cosθ)(1 + cosθ)(csc^2θ)

1 + (1 - cos^2θ)(csc^2θ)

1 + (sin^2)(1/sin^2)

1 + sin^2/sin^2

1 + 1

2

Judy scored 45 points in the board game.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

In a board game,

Judy scored 5 points, more than twice the number of points Ann scored.

If Judy scores x points and Ann scores y points,

that means,

x = 2y + 5

x - 2y = 5.   {equation 1}

There was a total of 65 points scored.

x + y = 65  {equation 2}

Subtract the equation 2 to equation 1,

we get,

-3y = -60

y = 20

Then, x = 45.

Therefore, 45 points Judy scored.

To learn more about the system of equation;

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========================================

Explanation:

The ratio QR : RS : ST  is equal to 1 : 4 : 5

This means we have the following three equations

For some positive number x.

Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .

Along with those three equations, we'll also use QT = 40 as well.

Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .

QT = QR + RS + ST

40 = x+4x+5x

40 = 10x

10x = 40

x = 40/10

x = 4

So we know that

QR = x = 4

RS = 4x = 4*4 = 16

ST = 5x = 5*4 = 20

-----------

As a check,

QR + RS + ST = 4 + 16 + 20 = 40

which is the same as QT = 40

Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.

B) 5/7

^That's the slope :)

Answer:

75%

Step-by-step explanation:

Answer:

Step-by-step explanation:

7000 - 4000 = 3000

percentage of increase = 3000 / 4000

                                       = 0.75 x 100

                                       = 75%

check:

= 4000 x 1.75

= 7000  ok

Answer:

Step-by-step explanation:

Answer:

(y+x)/a=b

or b=(y+x)/a

Step-by-step explanation:

First add both sides by x:

y+x=ab

Now divide a on both sides:

(y+x)/a=b

Hope this helps!

Answer:

4% change

Step-by-step explanation:

Answer:

Step-by-step explanation:

For club 1 - 2 book

For club 2 - 4 books

Club 1 has a $40 fee + 2 books = $60 in total

Club 2 has a $0 fee + 4 book = $60 in total

I'm pretty sure I'm right

Answer:

There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.

Step-by-step explanation:

1st club.  (cost of club) 40$ + (cost of 2 books) 20$ = 60$.

2nd club. (cost of books) 15$ x  (how many books) 4 = 60$

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

8 im pretty sure

Step-by-step explanation:

Answer:

∠ 1 = 136°

Step-by-step explanation:

The diagonals of a rhombus bisect the angles, thus other side of the diagonal to 22° is also 22°. Making the whole angle = 44°

Consecutive angles are supplementary, thus

∠ 1 + 44° = 180° ( subtract 44° from both sides )

∠ 1 = 136°

Answer:

arabella so B

Step-by-step explanation:

plz mark brainlyest

The probability of one who is more likely to brush both time morning and evening is Braxton, he has a 0.61 probability of brushing both times.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability of Braxton brushing both times = (0.72×0.85) = 0.612

The Probability of Arabella brushing both times = (0.82×0.79) = 0.6478

Hence, the probability of one who is more likely to brush both time morning and evening is Braxton, he has a 0.61 probability of brushing both times.

Learn more about Probability:

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Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have that:

[tex]A = 71[/tex]

[tex]C = 121[/tex]

[tex]T = 66[/tex]

First, we calculate the total

[tex]Total = A + C + T[/tex]

[tex]Total = 71 + 121 + 66[/tex]

[tex]Total = 258[/tex]

Solving (a): Probability of A

This is calculated using:

[tex]Probability = \frac{A}{Total}[/tex]

[tex]Probability = \frac{71}{258}[/tex]

[tex]Probability = 0.275[/tex]

Solving (b): Probability of C

This is calculated using:

[tex]Probability = \frac{C}{Total}[/tex]

[tex]Probability = \frac{121}{258}[/tex]

[tex]Probability = 0.469[/tex]

Solving (b): Probability of T

This is calculated using:

[tex]Probability = \frac{T}{Total}[/tex]

[tex]Probability = \frac{66}{258}[/tex]

[tex]Probability = 0.256[/tex]

Answer:

B and D

Step-by-step explanation:

Those are correct. She won't lose $10, and she will lose $30, not $20.

Hope this helps plz mark brainliest ;D

Answer:

C.

Step-by-step explanation:

A has 8 lines of symmetry, because they're all the same.

B has 4 lines of symmtery because those are all the same

C has only 2 because the vertical lines are symmetrical to each other, but not to the horizontal lines

D has 10 symmetrical lines because they're all the same

9514 1404 393

Answer:

  0.579

Step-by-step explanation:

You can consider what the offered numbers are when they are rounded to hundredths:

  0.574 ⇒ 0.57

  0.579 ⇒ 0.58 . . . matches your requirement

  0.585 ⇒ 0.59

  0.681 ⇒ 0.68

The only number on the list that matches your rounding requirement is 0.579.

Answer:

- [tex]\frac{27}{25\\}[/tex]

Step-by-step explanation:

4x−5y=39

for x=3

12 - 5y = 39

-5y = 39 -12

-5y = [tex]\frac{27}{5\\}[/tex]

-y = [tex]\frac{27}{25\\}[/tex]

y = - [tex]\frac{27}{25\\}[/tex] = -1 [tex]\frac{2}{25\\}\\[/tex]

-27/5 or -5 2/5

Step-by-step explanation:

4x-5y=39 while x=3

4(3)-5y=39 add x into bracket

12-5y=39 result of 4*3

12-5y-12=12-39 substrate non variable number to each side

5y = -27 the result from upper substraction

y= -27/5 the result mixed fraction form -5 2/5

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

Its (-5,7)

Step-by-step explanation:

When you plug it into a calculator the vertex point ends up in (-5, 7)