Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8

Answer:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Step-by-step explanation:

Given

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

Required

Simplify

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex]

We start by collecting like terms

[tex]-2x+5x-4y+3y+3xy-3xy+2yz-3x^2y[/tex]

Then simplify like terms:

[tex]3x-y+0+2yz-3x^2y[/tex]

[tex]3x-y+2yz-3x^2y[/tex]

Conclusively, when [tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy[/tex] is simplified, the result is [tex]3x-y+2yz-3x^2y[/tex]

Hence:

[tex]-2x+3y-3xy+2yz-3x^2y+5x-4y+3xy = 3x-y+2yz-3x^2y[/tex]

Answer:

false

Step-by-step explanation:

Answer:

Step-by-step explanation:

A  = 2π +πrl                

A - 2π = πrI                  subtract by 2π

(A- 2π)/(πr) = I               divide by πr to isolate I

The answer is -7!!!!  can you help me too???? im stuck on one problum!!!

:D

Step-by-step explanation:

so first you would ave to find the  unit rate,so 25.65/9=$2.85 then you would multiply 2.85*2 for the other 2 that she broke. You would get $5.70 add that to the 25.65 you  would get $31.35. the two panes of glass=$5.70 and altoger with the two pans of glass you would get $31.35

Answer:

I think the answer is y=2x-2

Hope it is correct! The x is positive because the angle is pointing to the right, and the -2 came from the position of the line.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Distribution, equal groups, skip counting, repeated addition, and array.

Step-by-step explanation:

Answer:

$1.40

Step-by-step explanation:

I used a unit rate to understand it.

$70/50

70÷ 50= 1.4

50÷50=1

1.4/1 = 1.4 OR $1.40, adding a zero doesn't change it amount, it just places a filler, so the final answer is, one dollar and forty cents.

Answer:

x=1 4/3

Step-by-step explanation:

Answer:

1.no answer x

Step-by-step explanation:

2. 216

3. 1000

Answer:

a. 0.2898

b. 0.0218

c. 0.1210

d. 0.1515

e. This is because the population is normally distributed.

Step-by-step explanation:

Assume that SAT scores are normally distributed with mean 1518 and standard deviation 325. Round your answers to 4 decimal places

We are using the z score formula when random samples

This is given as:

z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation.

n is the random number of samples

a.If 100 SAT scores are randomly selected, find the probability that they have a mean less than 1500.

For x = 1500, n = 100

z = 1500 - 1518/325/√100

z = -18/325/10

z = -18/32.5

z = -0.55385

Probability value from Z-Table:

P(x<1500) = 0.28984

Approximately = 0.2898

b. If 64 SAT scores are randomly selected, find the probability that they have a mean greater than 1600

For x = 1600, n = 64

= z = 1600 - 1518/325/√64.

z= 1600 - 1518 /325/8

z = 2.01846

Probability value from Z-Table:

P(x<1600) = 0.97823

P(x>1600) = 1 - P(x<1600) = 0.021772

Approximately = 0.0218

c. If 25 SAT scores are randomly selected, find the probability that they have a mean between 1550 and 1575

For x = 1550, n = 25

z = 1550 - 1518/325/√25

z = 1550 - 1518/325/5

z = 1550 - 1518/65

= 0.49231

Probability value from Z-Table:

P(x = 1550) = 0.68875

For x = 1575 , n = 25

z = 1575 - 1518/325/√25

z = 1575 - 1518/325/5

z = 1575 - 1518/65

z = 0.87692

Probability value from Z-Table:

P(x=1575) = 0.80974

The probability that they have a mean between 1550 and 1575

P(x = 1575) - P(x = 1550)

= 0.80974 - 0.68875

= 0.12099

Approximately = 0.1210

d. If 16 SAT scores are randomly selected, find the probability that they have a mean between 1440 and 1480

For x = 1440, n = 16

z = 1440 - 1518/325/√16

= -0.96

Probability value from Z-Table:

P(x = 1440) = 0.16853

For x = 1480, n = 16

z = 1480 - 1518/325/√16

=-0.46769

Probability value from Z-Table:

P(x = 1480) = 0.32

The probability that they have a mean between 1440 and 1480

P(x = 1480) - P(x = 1440)

= 0.32 - 0.16853

= 0.15147

Approximately = 0.1515

e. In part c and part d, why can the central limit theorem be used even though the sample size does not exceed 30?

The central theorem can be used even though the sample size does not exceed 30 because the population is normally distributed.

Answer:0.916

The decimal multiplier to decrease by 8.4% is 0.916.

Step-by-step explanation:

Answer:

(rise/run) 5/4

decimal ver: 1.25

Answer:

[tex]\frac{5}{4}[/tex]

Step-by-step explanation:

The line passes trough the points (2, 2) and (-2, -3).

[tex]m=\frac{rise}{run}=\frac{-3-2}{-2-2}=\frac{-5}{-4} =\boxed{\frac{5}{4}}[/tex]

Hope this helps.

y=(-2x)+5

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

El 100% es 100  

Y X es 50  

Entonces si 50 es la mitad de 100

Seria 50%

Answer:

Step-by-step explanation:

P(x) + Q(x) = 4x^2 + 6x - 9 -7x^2 - 12x +8

x^2 terms: 4x^2 - 7x^2 = - 3x^2

x  terms  : +6x - 12x =      - 6x

linear term: - 9 + 8 = - 1

Answer: -3x^2 - 6x - 1  

Answer:

15/4

Step-by-step explanation:

Whenever you are working with a question of rate where two different quantities are being compared, the required units will indicate which quantity is to be divided by which.

3/4 divided by 1/5

3/4 times 5/1 (multiply reciprocal)

=15/4

I havent done this in a while so im not entirely sure.

Answer:

Domain: x ≥ -5

Range: y ≥ -2

Step-by-step explanation:

The domain are the set of x-values of the function that are plotted on the x-axis. The domain of the graph given are x-values that are equal to or greater than -5.

Therefore:

✅Domain: x ≥ -5

The range from the graph given the y-values plotted on the y-axis against their corresponding x-values that are equal to or greater than -2.

Therefore:

✅Range: y ≥ -2

Answer:

She runs 6 miles in total.

Answer:

D

Step-by-step explanation:

Step-by-step explanation:

Option 3 must be correct.

Answer:

$56.51

Step-by-step explanation:

Given parameters:

Cost price by the store = $49.14

Amount of mark up = 50%

Unknown:

Make- up price  = ?

Solution:

Since the price was increased by 50% more, to find the mark up price, we can find 50% of the cost price and add the value to the cost price.

Also;

 Make-up price  =( 1 + [tex]\frac{50}{100}[/tex] ) x $49.14

                           = 1.15 x $49.14

                            = $56.51

Answer:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex] ---- Set Builder

(50, ∞)  ---- Interval Notation

Step-by-step explanation:

Given

x > 50

Required

Write as a

- Set builder

- Interval notation

As Set Builder:

x > 50 means that x is an integer and x is greater than 50.

In set builder notation, integers are represented with z.

So, the above can be represented as:

[tex]\{x\ E\ Z\ |\ x > 50\}[/tex]

This translates to:

x is a member of the set of integers such that x is greater than 50

As Interval Notation:

In interval notation, we make use of brackets to represent the intervals.

In this case > is represented by (a,b)

Where a and b are the intervals of the notation

Since x > 50, then a = 50 and b = ∞ because we only know the starting point and not the end point.

Hence: x > 50 in interval notation is (50, ∞)

Answer:

$492.80

Step-by-step explanation:

The discount= 12%*$560/100%

= $67.20

The discounted= Selling price- discount

= $560 - $67.20

= $492.80

Answer:

29

Step-by-step explanation:

9+5=14+5=19+5=24+5=29