What is the solution to the equation? −12x=−3 Enter your answer as a simplified fraction in the box. x =

Using the normal distribution, it is found that the percentage of their weekly sales over P4,000 is given by:

C. 5.48%

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

In this problem, the mean and the standard deviation are, respectively, of [tex]\mu = 3200, \sigma = 500[/tex].

The proportion of their weekly sales over P4,000 is 1 subtracted by the p-value of Z when X = 4000, hence:

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

[tex]Z = \frac{4000 - 3200}{500}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a p-value of 0.9452.

1 - 0.9452 = 0.0548 = 5.48%.

Hence option C is correct.

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Answer:

1 1/5

Step-by-step explanation:

1.6*3/4

4.8/4

1.2

1 1/5

Therefore, the answer is 17/20.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

PQRSTU is definitely divisible by 4.

Since Sonal and Gaurav have 2 numbers written on a piece of paper, and Sonal's number PQR is divisible by 3 and 4, while Gaurav's number STU is divisible by 2 and 9, and the two numbers are joined to form a new 6- digit number PQRSTU, to determine the number by which the number PQRSTU is definitely divisible by, the following logical reasoning must be performed:

Since the numbers are not added mathematically, but joined numerically, and that STU is the last number in the row, and that it is divisible by 3 and 4, while only 4 is among the options, the number PQRSTU is definitely divisible by 4.

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Answer:

x=[tex]\frac{3c-q^2}{5p}[/tex]

Step-by-step explanation:

5px+q^2=3c

subtract q^2 from both sides

5px=(3c)-q^2

divide by 5p from both sides

x=[tex]\frac{3c-q^2}{5p}[/tex]

Answer:

Step-by-step explanation:

200 divides into 1000 so that is part of the HCF.

x^2 and x^3 are present so the HCF contains x^2

y^2 and y^5 are present so the HCF contains y^2

HCF = 200*x^2 * y^2

Answer:

option 4

Step-by-step explanation:

(y intercept and negative slope)

Answer:

i believe its 58%

Step-by-step explanation:

Answer:

For the first picture, I think it is C and the second one should be A.

Step-by-step explanation:

You use vertical lines and if it hits it multiple times it is not a function. Like if it hits two dots or something it is not a function. I hope that make sense, let me know if it doesn't.

Answer:

The answer is 16

Step-by-step explanation:

call four teachers, each of whom will call two others, and each of these will call two others

Answer:

  E) 28

Step-by-step explanation:

The 4 teachers the principal calls will each make 2 calls.

The 8 teachers they call will each make 2 calls.

The 16 teachers they call will each make 2 calls. At this point, all 60 teachers have been notified, and the last 32 recipients of calls don't need to call anyone.

4 +8 +16 = 28 teachers make 2 calls.

Answer:

$132.74

Step-by-step explanation:

6.75% = 0.0675

Multiply 124.35 by 1.0675 because sales tax is added to original cost.

(124.35)(1.0675) = 132.74

The total cost of Anya's purchase of home improvement hardware is 132.74  dollars.

The percentage is the value per hundredth.

According to the given question, the sales tax is 6.75% which is not included in the home improvement hardware which cost Anya 124.35 dollars.

∴ The total cost of Anya's purchase including the sales tax is ( 100 + 6.75)% = 106.75% of 124.35 dollars which is,

= (106.75/100)×124.35 dollars.

= 1.0675×124.35 dollars.

= 132.74 dollars.

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Answer:

[tex]\frac{17}{18}[/tex]

Step-by-step explanation:

To solve 4/9 + 9/18 just find the common denominator which is 18.

to get 4/9 to get the denominator of 18 you multiply the denominator by 2:

9 x 2 = 18, what you do to the bottom you do to the top (Multiply the numerator by 2 also) so, 4 x 2 = 8.

Now, add the numerator and keep the denominator the same. 8 + 9 = 17.

8/18 + 9/18 = 17/18

Answer:

Step-by-step explanation:

the answer

the true answer  is A) 4x^2+52x+165=320; x = 2.5

proof:

since they want to limit its area to 320 in^2

x must be equal 2.5, because 4.(2.5)^2+52(2.5)+165= 25+130+165=320;

the main rule of the area of a triangle is

A= (base x height )/2

let be b the base and h the height

so h=20- 6b

so 50= b x( 20-6b) /2, implies 100/b = 20 - 6b

if b=x, we have 100= 20x -6x² this  is equivalent to 6x² - 20x = -100

so the answer is

D) None of the choices are correct.

the largest dimensions that can be used for the fountain are

B) x^2+8x+16=800

C) x^2+16=800

proof

x^2+8x+16=x^2+8x+4², 4² is the area of the square fountain, and x^2+8x should be the remaining of the area, the total space that the fountain and sidewalk can use is 800, it is  less than 800 ft^2.

Use the same method for. x^2+16=800

Answer:

I don't know but good luck!!!!!

Answer:

Step-by-step explanation:

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2

Answer:One minute is 60 times as long as one hour i guess?

Answer:

intrest=principle*rate* time

Step-by-step explanation:

Base formula, written as I = Prt or I = P × r × t where rate r and time t should be in the same time units such as months or years. Time conversions that are based on day count of 365 days/year have 30.4167 days/month and 91.2501 days/quarter.

Answer:

It would be between the 0 and the 1 on the horizontal line

0.5 is where the blue dot is, then for 0.5 , 4 just go up 4 from there

Answer:

$2009.88

Step-by-step explanation:

767.56+598.99+643.33 = $2009.88

Answer:

33.3333% decrease

Step-by-step explanation:

Percentage Decrease = [ (Starting Value - Final Value) / |Starting Value| ] × 100

75 - 25 = 50

the price went from $75 to $50.

75 - 50 = 25

25 ÷ 75 = 0.3333333333333

0.3333333333333 x 100

= 33.3333%

Answer:

the discount was 33.3% off

Step-by-step explanation:

((New - Old)  / |Old|) x 100

((50 - 75) / |75|)  × 100

(-25 / 75) = -0.333

-0.333 x 100 = 33.3%

Answer:

1:Cubic

2:5a and the value in the 2a is a exp.

3:Quintic

Step-by-step explanation:

Im sure this answer is correct

An expressions equated to another expression is called an equation

An equation is an expression that is used to show the relationship between two or more variables and numbers.

Given that a = 5, hence:

2a + 5

substituting values:

2(5) + 5 = 10 + 5 = 15

2a + 5 = 15

The sum of twice and four times of the variable x is 2x + 4x = 6x

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Answer:

3cm and 7cm

Step-by-step explanation:

The length is 7cm.

The width is 3cm.

Area = Length × Width = 7cm × 3cm = 21cm²

Answer:

- (b - 9)(b + 8)

Step-by-step explanation:

72 + b - b² ← factor out - 1 from each term and rearrange into standard form

= - (b² - b - 72) ← factor the quadratic

Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)

The factors are - 9 and + 8

Use these factors to split the b- term

b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )

b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term

(b - 9)(b + 8)

Then

72 + b - b² = - (b - 9)(b + 8)

Answer:

D. Function

Step-by-step explanation:

Function:a relationship or expression involving one or more variables.

"the function (bx + c)"

The graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

The function is given as:

[tex]f(x) = -2x^2 +6x - 3[/tex]

See attachment for the graph of function f(x).

From the attachment, we can see that the graph opens down, and it crosses the x-axis at two distinct points.

Hence, the graph of function [tex]f(x) = -2x^2 +6x - 3[/tex] opens down and has a maximum vertex.

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Answer:

Step-by-step explanation:

The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:

Apply the rule to the given point to get:

Correct choice is A

Answer:

A. (5, 13)

Step-by-step explanation:

The number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

let

number of hours = h

number of computers = c

number of workers = w

h = k × c / w

where,

k = constant of proportionality

h = 10.25

w = 16

c = 40

h = k × c / w

10.25 = k × 40 / 16

cross product

10.25 × 16 = k × 40

164 = 40k

k = 164/40

k = 4.1

If

c = 68

h = 16.40

h = k × c / w

16.40 = 4.1 × 68 / w

cross product

16.40w = 4.1 × 68

16.40w = 278.8

w = 278.8 / 16.40

w = 17 workers

Therefore, the number of workers needed to assemble 68 computers in 16.40 hours is 17 workers

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Answer:

500 < c < 1,700

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

if u subtract negative nine from one side of the equation, in order to keep both sides of the equation equal, you must subtract 9 from the other side. moreover, if you subtract nine from one side and add 9 to the other, there will be a 9+9=18 difference in values of both sides

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