A small computing center has found that the number of jobs submitted per day to its computers has a distribution that is approximately mound-shaped and symmetric, with a mean of 78 jobs and a standard deviation of 6. Where do we expect approximately 95% of the distribution to fall? between 90 and 96 jobs per day between 72 and 84 jobs per day between 60 and 96 jobs per day between 66 and 90 jobs per day

Step-by-step explanation:

[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]

Answer:

x = 1.50p - 1,800

Step-by-step explanation:

The equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

We have a paper company sells paper for $1.50 per package with an overhead cost of $1800.

We have to write an equation which depicts their situation.

Overhead cost to the company are the expenses other than the expenses during the generation of any product or service by that company. These expenses are somewhere needed and a certain amount of money is spent on them independent of the fact how much profit your product or service is generating. Concluding, we can say -

Overhead cost = Unwanted expense to the company

According to question -

Let's assume that the company sells [tex]x[/tex] pieces of paper for $1.50.

The overhead expenses = $ 1800

Hence, the equation that depicts their situation is -

1.50[tex]x[/tex] - 1800 = 0

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y = 4

Step-by-step explanation:

2x + 3y = 6. #1

2x + y = -2. #2

Subtract Eq 2 from Eq 1,

3y - y = 6 - (-2)

2y = 8

or

y = 4

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

Answer: 97/125

Step-by-step explanation:

Answer:

here you go!

Answer:

d is right broooooooooooooooo

Answer:

d

Step-by-step explanation:

5.4 is the ans ..hope it helps

Answer:

x2+2x−15

Step-by-step explanation:

Answer:

x^2 + 2x - 15

Step-by-step explanation:

X × X + 5x - 3x - 3 × 5 =

x^2 + 5x - 3x - 3 × 5 =

X^2 + 2x - 15

also x^2 means x to the 2nd power

Answer:

C)

B)

C)

Step-by-step explanation:

recall the surface area formula of cylinder

[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]

given that,h=5 and r=0.7

substitute:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =25.0572 sqm[/tex]

hence, our answer is C

remember the surface area formula of cone

[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]

given that,r=7 and s=10

substitute:

[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]

simplify parentheses:

[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]

simplify multiplication:

[tex] \displaystyle A _{S} =373.66sqcm[/tex]

hence, our answer is B

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]

we are given that,[tex]A_S=600[/tex] Thus

substitute:

[tex] \displaystyle 6 {a}^{2} = 600[/tex]

divide both sides by 6:

[tex] \displaystyle {a}^{2} = 100[/tex]

square root both sides:

[tex] \displaystyle {a}^{} = 10[/tex]

hence, the measurement of each

edge is 10 cm therefore our answer is C)

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

Their sum is 90

Solve it

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Explanation:

The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).

Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)

Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)

The midpoint of (1,5) and (1,-3) is (1,1)

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).

So that's why the answer is A) 1 line

------------

Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.

Step-by-step explanation:

they are the same such that the part labelled x is the same as the part labelled 2

Answer:

I don't understand this question please write again

Answer:

6/10 for event A or 3/5 reduced

5/10 for event B or 1/2 reduced Hope that helps!

Answer:

10 1/8

Just look it up or something, that's what i did

The area of the given rectangle is 10 1/8 units².

The region is the space taken up by a flat, two-dimensional surface. Its unit of measurement is the square. A three-dimensional object's surface area is the area occupied by its exterior surface. It is also measured in square units.The total surface area is the area encompassing the base(s) and the curving part. It is the whole area that the surface of the object takes up. A shape with a curved base and surface has a total area equal to the sum of the two areas.

As per the given data:

Measurement of the rectangle is given by

2 1/4 units by 4 1/2 units

= 2 1/4 × 4 1/2 units²

To find the area of a rectangle:

Area = length × width

From the given data

length = 4 1/2 units

width = 2 1/4 units

Area = 2 1/4 × 4 1/2 units²

= 9/4 × 9/2 units²

= 81/8 units²

= 10 1/8 units²

Hence, The area of the given rectangle is 10 1/8 units².

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Answer:

Equation to solve for "x": 90 + x + x + 18 = 180

x = 36

Step-by-step explanation:

90 + x + x + 18 = 180

90 + 18 + 2x = 180

108 + 2x = 180

(108 - 108) + 2x = 180 - 108

2x = 72

2x/2 = 72/2

x = 36

90 + 36 + 36 + 18 = 180

108 + 72 = 180

180 = 180

Answer:

The initial velocity of the particle is

v' = -6 - 6.2 = -18 ft/s

at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s

the position is

[tex]x = - 32 - 18 \times 5 + \frac{1}{2} \times 6 \times 5 {}^{2} = - 47 \: ft[/tex]

the total distance traveled is

[tex]s = | \frac{12 {}^{2} - 18 {}^{2} }{2 \times 6} | = 15 \: ft[/tex]

Answer:

the answer would be 750 dollars.

Step-by-step explanation:

If he needs $1,000 in total and already has $250, you can do 1,000 - 250 to get 750. A simpler way to.do that could be to take 1,000 - 200 to get 800, and then subtract another 50.

Answer:

its already in simplest form

Step-by-step explanation:

Answer:

A.52 cm2 ihope ihelp po hehe

Answer: rectangular prism and a pyramid I think

Step-by-step explanation:

Answer:

Choose (A)

Step-by-step explanation:

f(x)=3x⁴+kx³+x-2

f(x)=3(-2)⁴+k(-2)³+(-2)-2

=-8k+44

-8k=-44

k=44/8

k=11/2

Answer:

Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm

Step-by-step explanation:

Answer:

The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14

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Explanation:

Use the pythagorean theorem to find the length of the hypotenuse

a^2 + b^2 = c^2

20^2 + 21^2 = c^2

400 + 441 = c^2

c^2 = 841

c = sqrt(841)

c = 29

The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.

The area of the circle is...

A = pi*r^2

A = pi*(14.5)^2

A = pi*210.25

A = 210.25pi

Which is exact in terms of pi

We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.

So the shaded region is therefore 210.25pi - 210 square inches

This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.

they are Vertically Opposite Angles..

Answer:

3.0 x 10^5 km

Step-by-step explanation:

c = 299,792,458 metres per second

c = 299,792 km per second

1 light second =  299,792 km

To two significant figures

300,000 km

3.0 x 10^5 km

In 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

Step-by-step explanation:

To find:

Value of 1 light  second into Kilometers

Solution:

Speed of light in space = [tex]3.0\times 10^8 m/s[/tex]

This means that in 1 second light travels [tex]3.0\times 10^8 m/s[/tex].

1 m = 0.001 km

The distance traveled by the light in Km in a second will be:

[tex]3\times 10^8 m= 3\times 10^8\times 0.001 km =3.0\times 10^5 km[/tex]

So, from this, we can conclude that in 1 light second there are [tex]3\times 10^5[/tex] kilometers.

[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]

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Answer:

54 in.

remember that to get the perimeter you just have to add all the sides

The Answerto your question is : C. Percent