The amount of time needed for a certain machine to process a job is a random variable with mean EXi = 10 minutes and Var(Xi)=2 minutes2. The times needed for different jobs are independent from each other. Find the probability that the machine processes less than or equal to 40jobs in 7hours.

Answer:

A positive relationship between the inputs and the outputs is one wherein more of one input leads to more of an output. This is also known as a direct relationship. On the other hand a negative relationship is one where more of one input leads to less of another output.

Step-by-step explanation:

Hope this helps

Answer:

Sharon is 36

Her daughter is 7 years and 2 months

Step-by-step explanation:

sharon is 5× as old

her daughter is written as 1 (because we dont know about her age)

then square root of 256 to find square which is equal as said in the queston:which is 16

algebraic equation would be:5n+16 (n represents the years and 5 is how many times older sharon is and 16 is how old their square sum of agewas 4 years ago)

Their present age would be:

Sharon=5x4+16=36

Daughter =36÷5=7 years 2 months

The present age of Sharon is 20 and the Present age of her daughter is 4.

A mathematical statement in which two expressions are rendered equal to one another is known as an algebraic equation. A variable, coefficients, and constants make up an algebraic equation in most cases.

Given, Sharon is five times her daughter's age. The square of their ages was equal to 256 four years ago. Let the age of Sharon is x and the age of her daughter be y.

Thus the algebraic equation formed as per the given data is,

x = 5*y (Present age)

(x-4 + y -4)^2 = 256 (Four years ago)

Taking square root both the sides

x + y = 24

comparing both equations

5 y + y = 24

y = 4

and x = 20

Therefore, Sharon is currently twenty years old, and her daughter is currently four years old.

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Answer:

The last one. The table with 12 sections and 2 letters in each one.

Explanation: For every flip (12 total flips) there were 2 coins. So there are 12 sections in the table (the amount of times the coins were flipped) and 2 letters for each one (representing that 2 coins were flipped at the same time).

Hope this helps <3333

Answer:

Vertical Angels must: have pairs of opposite angles made by two intersecting lines.

Step-by-step explanation:

Answer: x=4

Step-by-step explanation:

Simplify the left side of 9x-3x-5=19 by combining like terms:

6x-5=19

Add 5 to both sides:

(6x-5)+5=19+5

Simplify:

6x=24

Divide both sides by 6:

(6x)/6=24/6

Simplify:

x=4

Answer:

Pole^2 = 221^2 - 21^2

Pole^2 = 48,841 -441

Pole^2 = 48,400

Pole = 220 cm

Answer is B

Step-by-step explanation:

Answer:

(a/2, a/2)

Step-by-step explanation:

Coordinates of B & D are; (0, a) and (a, 0) respectively.

The formula for calculating coordinates of midpoint is;

M = ((x1 + x2)/2), ((y1 + y2)/2)

Coordinates of BD will be;

M_BD = ((0 + a)/2), ((a + 0)/2)

M_BD = (a/2, a/2)

Answer:

7

Step-by-step explanation:

115/17=6.7..... Round up to 7.

7 boxes should be the answer

Answer:

25

Step-by-step explanation:

I believe that the mid-segment is the length of half the base.

Answer:

3 terms.

Step-by-step explanation:

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable (a letter), or several variables multiplied but never added or subtracted. That means V is a term, 9t is a term, and u is a term.

Answer:

3.9

Step-by-step explanation:

bshwhsbwjwwjusushs

Answer:

28 5 dollar bills

12 10 dollar bills

Step-by-step explanation:

You can write two equations to model this situation'

x will be the number of 5 dollar bills

y will be the number of 10 dollar bills

x+y=40

5x+10y=260

There are a couple of ways you can solve this but but I will be doing it through substitution because that looks easier (I can explain other methods if you're interested)

So we have x+y=40

If I subtract y from both sides and divide by -1 we get

-x+40=y

We can then plug this value in for y in the second equation

5x+10(-x+40)=260

Distribute the 10 and combine like terms to get

-5x+400=260

subtract 400 from both sides and divide by -5 to get

x=28

This means that there are 28 5 dollar bills. We can plug this value back in for x into our first equation to solve for y

28+y=40

Subtract 28 from both sides

y=12

This means that there were a total of 28 5 dollar bills and 12 10s

I doubled checked this in desmos and it checks out

Answer:

7536 [tex]km^3/sec[/tex]

Step-by-step explanation:

Given that:

Rate of decreasing of radius = 12 km/sec

Height of cylinder is fixed at = 2.5 km

Radius of cylinder = 40 km

To find:

The rate of change of Volume of the cylinder?

Solution:

First of all, let us have a look at the formula for volume of a cylinder.

[tex]Volume = \pi r^2h[/tex]

Where [tex]r[/tex] is the radius and

[tex]h[/tex] is the height of cylinder.

As per question statement:

[tex]r[/tex] = 40 km (variable)

[tex]h[/tex] = 2.5 (constant)

[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}\pi r^2h[/tex]

As [tex]\pi, h[/tex] are constant:

[tex]\dfrac{dV}{dt} = \pi h\dfrac{d}{dt} r^2\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2 r\dfrac{dr}{dt} \\$Putting the values:$\\\Rigghtarrow\dfrac{dV}{dt} = 3.14 \times 2.5\times 2 \times 40\times 12 \\\Rigghtarrow\dfrac{dV}{dt} = 7536\ km^3/sec[/tex]

Answer:

44 weeks

Step-by-step explanation:

First, he’s already used 36 pages so he has 124-36=88 pages left to use.

Since he can use 2 pages per week, by dividing 88(# of pages left) by 2( pages per week), you will get the answer. 88÷2=44 weeks

Answer:

The 2nd box should be 4 × x and then the 3rd box should be + 5

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

We need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

Given that, input of the function is x and the output of the function is 4x+5.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

To get the out of the function 4x+5, we need to multiply 4 to x and add 5 to the product.

That is represented the figure given below.

Therefore, we need to multiply 4 to input x and add 5 to the product to get the output 4x+5.

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Hello!

[tex]slope = 2\\\\y-intercept = (0, 3)\\\\Equation: y = 2x + 3[/tex]

We can find the slope using the slope formula:

[tex]slope = \frac{y_{2} - y_{1}}{x_{2}-x_{1}}[/tex]

Plug in any two points from the table. We can use (0, 3) and (1, 5):

[tex]slope = \frac{5 - 3}{1-0}[/tex]

[tex]slope = 2[/tex]

Now, we can find the y-intercept by finding the y-value at which x = 0.

According to the table, when x = 0, y = 3. Thus, the y-intercept is:

[tex](0, 3)[/tex]

We can write an equation using the slope and y-intercept in the format

y = mx + b where "m" is the slope and "b" is the y-intercept.

Plug in the solved values into the equation:

y = 2x + 3.

**Graphed below**

Answer:

0

Step-by-step explanation:

say that you have 0 bottles of ketchup and you get 0 more bottles of ketchup every hour you work. not only does it make no sense but if you work zero hours you will end up with 0 ketchup bottles

Answer:

5

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Option (1).

[tex]2(\frac{2}{5}x+2)=2\frac{2}{5}x+1[/tex]

[tex]\frac{4x}{5}+4=\frac{12}{5}x+1[/tex]

Therefore, both the sides of the expression are not equal.

False.

Option (2).

[tex]2(\frac{2}{5}x+2)=\frac{4}{5}x+4[/tex]

[tex]\frac{4x}{5}+4=\frac{4}{5}x+4[/tex]

True.

Option (3).

[tex]2(\frac{2}{5}x+4)=\frac{4}{5}x+2[/tex]

[tex]\frac{4}{5}x+8=\frac{4}{5}x+2[/tex]

False.

Option (4).

[tex]2(\frac{2}{5}x+4)=2\frac{2}{5}x+8[/tex]

[tex]\frac{4x}{5}+8=\frac{12}{5}x+8[/tex]

Both the sides are not equal.

False.

y = 2x + 4

Step-by-step explanation:

Answer:

Not 100% sure if this is right but i think it would be y=2x + 4

Step-by-step explanation:

Answer:

A'={5,0}

B'={2,0}

C'={2,4}

Step-by-step explanation:

The coordinates of the object triangle are;

A = {-3,0}

B= {0,4}

C={0,0}

The reflection is on line x=1

See attached graph with the image for the coordinates of the triangle after reflection

A'={5,0}

B'={2,0}

C'={2,4}

Answer:

1 triangle is the right anwer

Answer: 250 $3 tickets and 100 $2 tickets were sold.

Complete question :

Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " 5/6 meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway?

Answer:

12

Step-by-step explanation:

Given that:

Length of square block to be used = 5/6 meters

Length of garden. Walkway = 5 m

Since length of walkway is the same on both sides, then the Total length = 5m + 5m = 10 meters

Number of square stones required :

Total length of walkway / side length of stones to be used

= 10 meters ÷ (5/6) meters

= 10 * 6/5

= 60 / 5

= 12 stones

Answer:

[tex]y= x - 300[/tex]

[tex]y = -246[/tex] -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

From the table, we can say that:

[tex](x_1,y_1) = (0,-300)[/tex]

[tex](x_2,y_2) = (300,0)[/tex]

So, we have:

[tex]m = \frac{0 -(-300)}{300 - 0}[/tex]

[tex]m = \frac{0 +300}{300}[/tex]

[tex]m = \frac{300}{300}[/tex]

[tex]m = 1[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - (-300) = 1(x - 0)[/tex]

[tex]y +300 = 1(x)[/tex]

[tex]y +300 = x[/tex]

[tex]y= x - 300[/tex]

(b) When x = 54

Substitute 54 for x in [tex]y= x - 300[/tex]

[tex]y = 54 - 300[/tex]

[tex]y = -246[/tex]

Answer: I got 42

Step-by-step explanation:

(using I's as an example)

There started with 2 boxes

Then there are 4 boxes in each in those two

Now each of those boxes have 4 in them.

Answer:

4x+7=23

4.4+7=23

Step-by-step explanation:

23-7=16

16/4=4

The algebra tiles used in the equation 4x + 7 = 23 are four x-tiles, seven unit tiles, and 23 unit tiles.

To model the equation 4x + 7 = 23 using algebra tiles, we would use variable tiles (x-tiles) and unit tiles.

For the term 4x, we would use four x-tiles since the coefficient is 4.

For the term 7, we would use seven unit tiles since it is a constant.

The equal sign (=) does not have a specific tile representation; it simply indicates the equation's balance.

On the other side of the equation, for the term 23, we would represent it using 23 unit tiles.

So, the algebra tiles used in this equation would be four x-tiles, seven unit tiles, and 23 unit tiles.

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Answer:

C: square root 0.31 (0.69)/100 + 0.27(0.73) /100

Step-by-step explanation:

that's the answer I'm just to lazy to put the explanation but yeah, that's the answer