A software company employs 450 workers. It plans to increase its workforce by 8 employees per month until it has doubled in size. Which equation can be used to determine m, the number of months it will take for the company’s workforce to double in size?

Answer:

2km to 185 meters

Step-by-step explanation:

Answer:

(a) 0.3863

(b) $693

Step-by-step explanation:

Mean μ = $633

Standard deviation σ = $45.

(a) If $646 is budgeted for next week, what is the probability that the actual costs will exceed the budgeted amount? (Round your answer to four decimal places.)

We solve this question using the z score formula

z = (x-μ)/σ

where:

x is the raw score

μ is the population mean

σ is the population standard deviation.

For x > $646

z = $646 - $633/$45

z = 0.28889

Probability value from Z-Table:

P(x<646) = 0.61367

P(x>646) = 1 - P(x<646) = 0.38633

Approximately = 0.3863

The probability that the actual costs will exceed the budgeted amount is 0.3863

(b) How much should be budgeted for weekly repairs, cleaning, and maintenance so that the probability that the budgeted amount will be exceeded in a given week is only 0.09? (Round your answer to the nearest dollar.

Let the budgeted amount = x

Converting 0.09 to percentage = 0.09× 100% = 9%

100 - 9% = 91%

We find the z score of 91%

= 1.341

We are to find x

Using z score formula

z = (x-μ)/σ

1.341 = x - 633/45

Cross Multiply

1.341 × 45 = x - 633

60.345 = x - 633

x = 60.345 + 633

x = $693.345

Approximately to the nearest dollar is $693

Answer:

irrational

Step-by-step explanation:

√15 is not a rational number it's a irrational number

:-))

Answer:

Irrational

Step-by-step explanation:

Rational numbers are those that can be written in the form a/b where a and b are both integers with no common factors.

sqrt15 cannot be written in that form, therefore it is irrational.

Answer:

5/-1

Step-by-step explanation:

The reciprocal is just flipping the fraction.

Answer: 200.96 ft^2

Step-by-step explanation:

area of circle = (3.14 (pi))r^2

Radius is 6 (16 (the diameter)/2 = 8)

Answer:

Answer is H 200.96 :) Have a Happy Thursday!!

Answer:

[tex] {5}^{7} [/tex]

Step-by-step explanation:

[tex]5^3•5^4 = {5}^{3 + 4} = \purple{ \bold{ {5}^{7} }}[/tex]

Answer:

Step-by-step explanation:

Answer:

5 boxes of cookies and 5 tubs of popcorn = $75

Step-by-step explanation:

To find y divide what is sold by 4 boxes of cookies and x by 2 tubs of popcorn.

The solution is

The cost of box of cookies x = $ 5

The cost of tub of popcorn y = $ 10

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of cookies be = x

Let the cost of popcorn be = y

And ,

On Monday, Anna made $40 selling 4 boxes of cookies and 2 tubs of popcorn

Substituting the values in the equation , we get

4x + 2y = 40   be equation (1)

And ,

On Tuesday, Anna made $35 selling 1 box of cookies and 3 tubs of popcorn

Substituting the values in the equation , we get

x + 3y = 35   be equation (2)

On simplifying both equations , we get

Multiply equation (2) by 4 , we get

4x + 12y = 140   be equation (3)

Subtracting equation (1) from equation (3) , we get

10y = 140 - 40

10y = 100

Divide by 10 on both sides of the equation , we get

y = $ 10

So , the cost of tub of popcorn is $ 10

Substituting the value of y in equation (2) , we get

x + 3y =  35

x + 30 = 35

Subtracting 30 on both sides of the equation , we get

x = $ 5

So , the cost of box of cookies is $ 5

Hence , the cost of cookies is $ 5 and cost of popcorn is $ 10

To learn more about equations click :

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Answer:

5 terms

Step-by-step explanation:

Answer:

I believe the answer is B.

Answer:

b

Step-by-step explanation:

V 34

Answer:

B

Step-by-step explanation:

credit to the other person

Answer:

in the picture above

Step-by-step explanation:

I hope that it's a clear solution and explanation.

Given:

A diagram.

To find:

An angle that is supplementary to ∠KFA.

Solution:

Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.

From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.

∠KFA and ∠DFA lie on the same side of a straight line IK.

∠KFA and ∠KFL lie on the same side of a straight line HL.

So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.

We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.

Therefore, an angle that is supplementary to ∠KFA is ∠KFL.

Answer:

16,000 liters

Step-by-step explanation:

Assuming the pool does not curve in any direction and is a big box with 90° corners:

1/16. 2,000 liters

2/16. 4,000 liters

3/16. 6,000 liters

4/16. 8,000 liters

5/16. 10,000 liters

6/16. 12,000 liters

7/16. 14,000 liters

8/16. 16,000 liters

9/16. 18,000 liters

10/16. 20,000 liters

Answer:

Half full = 16,000 liters

Need to add 14,000 more liters

Step-by-step explanation:

Proportions and Fractions

The swimming pool contains 2,000 liters of water and it's said to be 1/16 full. this means that the total capacity of the pool is:

2,000 liters * 16 = 32,000 liters

It's required to calculate how many liters of water are required to make the pool half full.

This can be found by dividing the above number by 2, thus:

Half capacity of the pool = 32,000 / 2 = 16,000 liters

We'll provide the following answer in case it's required.

To reach half capacity, it would be necessary to add

16,000 liters - 2,000 liters = 14,000 liters of water to the existing amount.

Answer:

If you want y-6+x solved, it's -2

Step-by-step explanation:

Substitute 6 for x and -2 for y and you get (-2 - 6 + 6 =?). -2 - 6 = -8. -8 +6 = -2.

Simple way to do this is the given -6 and the 6 cancel out and that leaves the -2 from the y.

Answer:

JKLM = 96 in^2

Step-by-step explanation:

294/21 = 14

21/12 = 14/x

21 * x = 12 * 14

21x=168

x=8

A = L*W

A=12*8

A=96 in^2

Answer:

sneaking

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Answer:

The anwer for Acellus people is B=96 degrees

Step-by-step explanation:

Answer:

Slope:2

Y-int:2

Step-by-step explanation:

y=m(slope)x+b(y-int)

Answer:

Slope is 2, Y-intercept is 2

Step-by-step explanation:

Point-slope form is y=mx+b

m=slope

b=y-intercept

Hope this helped.

Answer:

K = 5 ; 125 m

Step-by-step explanation:

body falls through 80 metres in 4 seconds, find the distance it would fall in 5 seconds.

Given that:

Distance α (Timetaken)²

Distance = d ; Timetaken = t

d = Kt²

K = constant of proportionality

80 = k4²

80 = 16k

K = 80 / 16

K = 5

Distance it would fall in 5 seconds ; t = 5

D = Kt²

D = 5 * 5²

D = 5 * 25

D = 125

It will fall a distance of 125 m in 5 seconds.

Answer:

4/1

Step-by-step explanation:

g is 4

Answer: A

Step-by-step explanation: $88.74÷9=$9.86

$88.74 is the total amount

9 players, and each player has to pay the same amount

we have to divide it evenly in 9 pieces, so we divide $88.74 into 9 groups which then equals $9.86

Hope this helps!

Answer:

If EFGH is an isosceles trapezoid,

if

EH=4x-27+

FG=x%2B9+

EG=3y%2B19

FH=11y-21

then EH=FG and EG=FH

set up equations:

4x-27=x%2B9 .......solve for x

4x-x=27%2B9

3x=36

x=36%2F3

3y%2B19=11y-21.......solve for y

11%2B19=11y-3y

30=8y

y=30%2F8

y=15%2F4

y=3.75

so,x=12    and y=3.75

you can also check the length of equal sides and equal diagonals:

EH=4%2A12-27+=21

FG=12%2B9+=21

EG=3%283.75%29%2B19=30.25

FH=11%283.75%29-21=30.25x=12

Step-by-step explanation:

Answer:

angle A=140

angle B=105

angle C=60

angle A=140

angle B=105

angle C=60

Step-by-step explanation:

PENN

Answer:

y=-2x+9

Step-by-step explanation: