When I started here, there were 500 employees. Since then, we have added 35% more employees, so we now have a total of ______ employees

Step-by-step explanation:

Steps are in the picture above.

Answer:

Ans : the length of 5/9 is 5m

Answer:

Answer is 4 I think!!

Answer:

Step-by-step explanation:

Apply the natural log to both sides we have

[tex](-(2/3)x -1 ) \ln 2 = (3-2x)\ln 3\\-x(2/3)\ln 2 + 2x\ln 3 = 3\ln 3 -\ln 2\\x\left(\frac{-2}{3}\ln 2 +2\ln 3\right)=\ln (27/2)\\x\left(\ln 9 -\ln \sqrt{8}) =\ln(27/2)\\\\x\ln (9/\sqrt{8})=\ln(27/2)\\\\x= \ln(27/2) / \ln(9/\sqrt{8})[/tex]

Probabilities are used to determine the chance of an event. The following are the summary of the solution.

Given that:

[tex]n = 8[/tex]

[tex]G = 6[/tex] --- Green

[tex]Y = 2[/tex] --- Yellow

(a) Probability that the two cellphones are green (without replacement).

Since the cellphone is not replaced, the probability is calculated as follows:

[tex]Pr = \frac Gn \times \frac{G - 1}{n-1}[/tex]

So, we have:

[tex]Pr = \frac 68 \times \frac{6 - 1}{8-1}[/tex]

[tex]Pr = \frac 68 \times \frac 57[/tex]

[tex]Pr = \frac{30}{56}[/tex]

[tex]Pr = \frac{15}{28}[/tex]

Hence, the probability that the two cellphones are green (without replacement) is 15/28

(b) Probability that one green and one yellow is selected (without replacement).

Since the cellphone is not replaced, the probability is calculated as follows:

[tex]Pr = \frac Gn \times \frac{Y}{n-1} + \frac Yn \times \frac{G}{n-1}[/tex]  ---- The subtraction means the cellphones are not replaced

This gives

[tex]Pr = \frac 68 \times \frac{2}{8-1} + \frac 28 \times \frac{6}{8-1}[/tex]

[tex]Pr = \frac 34 \times \frac{2}{7} + \frac 14 \times \frac{6}{7}[/tex]

[tex]Pr = \frac 32 \times \frac17 + \frac 12 \times \frac 37[/tex]

[tex]Pr = \frac{3}{14} + \frac{3}{14}[/tex]

Take LCM

[tex]Pr = \frac{3+3}{14}[/tex]

[tex]Pr = \frac{6}{14}[/tex]

[tex]Pr = \frac{3}{7}[/tex]

Hence, the probability that one green and one yellow is selected (without replacement) is 3/7

(c) Probability that the all three cellphones are yellow (with replacement).

Since the cellphone is replaced, the probability is calculated as follows:

[tex]Pr = \frac Yn \times \frac Yn \times \frac Yn[/tex]

So, we have:

[tex]Pr = \frac 28 \times \frac 28 \times \frac 28[/tex]

[tex]Pr = \frac 14 \times \frac 14 \times \frac 14[/tex]

[tex]Pr = \frac 1{64}[/tex]

Hence, the probability that all three cellphones are yellow (with replacement) is 1/64

(d1) Probability that the two cellphones are green (with replacement).

Since the cellphone is replaced, the probability is calculated as follows:

[tex]Pr = \frac Gn \times \frac{G}{n}[/tex]

So, we have:

[tex]Pr = \frac 68 \times \frac{6}{8}[/tex]

[tex]Pr = \frac 34 \times \frac{3}{4}[/tex]

[tex]Pr = \frac{9}{16}[/tex]

Hence, the probability that the two cellphones are green (with replacement) is 9/16

(d2) Probability that one green and one yellow is selected (with replacement).

Since the cellphone is replaced, the probability is calculated as follows:

So, we have:

[tex]Pr = \frac Gn \times \frac{Y}{n} + \frac Yn \times \frac{G}{n}[/tex]

This gives

[tex]Pr = \frac 68 \times \frac{2}{8} + \frac 28 \times \frac{6}{8}[/tex]

[tex]Pr = \frac 34 \times \frac{1}{4} + \frac 14 \times \frac{3}{4}[/tex]

[tex]Pr = \frac 3{16} + \frac{3}{16}[/tex]

Take LCM

[tex]Pr = \frac {3+3}{16}[/tex]

[tex]Pr = \frac {6}{16}[/tex]

[tex]Pr = \frac {3}{8}[/tex]

Hence, the probability that one green and one yellow is selected (with replacement) is 3/8

Read more about probabilities at:

https://brainly.com/question/795909

Answer:

880 miles

Step-by-step explanation:

352 - 220 = 132

132 ÷ 0.15 = 880

880 miles

Using proportions, it is found that the length of the sculpture using the new scale is given by:

D. 20 feet.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The initial scale is of 1 cm = 2 feet, with a sculpture of 8 feet, hence the length of the drawing is given by:

l = 8/2 = 4 cm.

For the new scale, 1 cm = 5 feet, and you keep the drawing of 4 cm, hence the length of the sculpture is given by:

l = 4 x 5 = 20 feet.

Hence option D is correct.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

9514 1404 393

Answer:

  14xv^3

Step-by-step explanation:

Coefficients are 28 and 14, which have a GCF of 14.

x exponents are 1 and 6, so the GCF is x^1 = x

y exponents are 8 and 0, so the GCF is y^0 = 1

v exponents are 7 and 3, so the GCF is v^3

The GCF of the two terms is the product of the factors just found:

  14xv^3

Answer:

It is 1/10

Step-by-step explanation:

One decade has 10 years

[tex]{ \sf{1 \: decade = 10 \: years}} \\ { \sf{ \frac{1}{10} \: decade = 1 \: year}}[/tex]

Answer:

10% , 1/10, or 10/100

Step-by-step explanation:

There are 10 years in a decade

1/10 represents the 1 year out of the 10!

Answer:

x≥ -43

Step-by-step explanation:

at least means greater than or equal to

Let x be the unknown number

x≥ -43

Answer:

ALU stands for arithmetic logic unit. which is part of the central processing unit of a computer which performs arithmetic and logical operations.

I hope this helps

Answer:

In computer science: Architecture and organization. …of a control unit, an arithmetic logic unit (ALU), a memory unit, and input/output (I/O) controllers. The ALU performs simple addition, subtraction, multiplication, division, and logic operations, such as OR and AND.

Step-by-step explanation:

Answer:

y=2 x=4

Step-by-step explanation:

Substitute x with 2y so the second equation is 2y+y=6

Then simplify your new equation:

3y=6

y=2

If y=2 and x=2( 2) then x=4

Step-by-step explanation:

The circumcenter is the centre of the circumcircle. All the vertices of a triangle are equidistant from the circumcenter.In an acute-angled triangle, circumcenter lies inside the triangle. In an obtuse-angled triangle, it lies outside of the triangle.

if my answer helps you than mark me as brainliest

Answer:

it is 5000 in my guess . to you can ask me anytime

Answer:

Y=K×X

when Y=-8 and X=4

-8=K×4

-8=4K divide both sides by 4

K=-2 constant

To find Y when X=-4,Y=? and K=-2

Y=-2×-4

Y=8

Answer:

the rational numbers is 3

Answer : 72

Step-by-step explanation:

It's above in the pic .

Answer:

What do you mean?

Step-by-step explanation:

I don’t understand.

[tex](2a - 5)(4a - 7)[/tex]

[tex]2a(4a - 7) - 5(4a - 7)[/tex]

[tex]8 {a}^{2} - 14a - 20a + 35[/tex]

[tex]8 {a}^{2} - 34a + 35[/tex]

Step-by-step explanation:

( 2a - 5 ) ( 4a - 7 )

2a ( 4a - 7) - 5 ( 4a - 7 )

8a² - 14a - 20a + 35

8a² -34a + 35

Answer:

8

Step-by-step explanation:

Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)

We have two points on the graph, (2, 16) and (6, 48)

Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then

(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8

Answer:

3

Step-by-step explanation:

[tex]log(3x^{3}) - log(x^{2}) = log(\frac{3x^{3}}{x^{2}})\\log(27) - log(x) = log(\frac{27}{x} )\\[/tex]

therefore,

[tex]\frac{3x^{3} }{x^{2} } = \frac{27}{x} \\3x=\frac{27}{x} \\3x^{2} =27\\x= +3\\x=-3[/tex]

however, since logarithms cannot have negative arguments, x can only be +3

i.e. log(-3) is impossible, and will return MATH ERROR on a calculator.

Answer:

No.

Step-by-step explanation:

No because it can be written as a fraction, 6606/10

There are four parts of a circle, so you have to find out the area of the circle:-

10 cm=Radius

[tex]10^{2}[/tex]=100

[tex]\pi[/tex]=3.14

3.14*100=314 [tex]cm^{2}[/tex]

Now, find the area of the square box:-

Since half the side of the square is 10 cm, the total length of one side is 2*10 which is 20 cm.

Area=S*S

=20*20=400 [tex]cm^{2}[/tex]

Now subtract the area of the box from the area of the square:-

400-314= 86 [tex]cm^{2}[/tex]

That is the area of the shaded part.

Happy to help you!

Answer:

$13.3 per hour

Step-by-step explanation:

for 6 hour the cost is $79.80

for 1 hour the cost is $79.80/6

$13.3 per hour

Answer: Yes it is.

Step-by-step explanation:

Mixed to proper

7/3 = 2 1/3

An ordered pair is simply the x-coordinate and the y-coordinate of a point.

The ordered pair of the bullseye is (4,-2.5)

From the given image (see attachment), we have:

[tex](x_1,y_1) = (9,3)[/tex]

[tex](x_2,y_2) = (-1,-8)[/tex]

The bullseye is at the midpoint of these two points.

So, the ordered pair of the bullseye is calculated using the following midpoint formula.

[tex](x,y) = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

So, we have:

[tex](x,y) = (\frac{9-1}{2},\frac{3-8}{2})[/tex]

[tex](x,y) = (\frac{8}{2},\frac{-5}{2})[/tex]

[tex](x,y) = (4,-2.5)[/tex]

Hence, the ordered pair of the bullseye is (4,-2.5)

Read more about ordered pair at:

https://brainly.com/question/13688667

Answer:

4.5 / 9 = 1/2

Answer:

300

Step-by-step explanation:

I hope it will help you.