Simplify the equation

Answer:

The probability is 0.0069

Step-by-step explanation:

First thing to do here is to calculate the z-score

Mathematically;

z-score = (x-mean)/SD/√(n)

where x = 9.1 , mean = 8.4 , SD = 1.8 and n = 40

Plugging these values into the z-score equation, we have;

z-score = (9.1-8.4)/1.8/√(40) = 0.7/1.8/6.325 = 0.0615

Now, we check the standard normal table for P(z > 2.46) = 0.0069

Answer:

1 kilogram was eaten

Step-by-step explanation:

Answer:

1 kilogram was eaten during that meal.

Answer:

x=72

Step-by-step explanation:

[tex]x\div 9=8[/tex]

Multiply both sides by 9 to isolate x:

[tex]x=8\cdot 9=72[/tex]

Hope this helps!

Answer:

C

Step-by-step explanation:

this is quite confusing

Answer:

y = 2/5x+2

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

    = (4-2)/(5-0)

    =2/5

The y intercept is 2

The slope intercept form is y = mx+b

where m is the slope and b is the y intercept

y = 2/5x+2

Answer:

y = mx + c

1) find the gradient, m

[tex]m = \frac{4 - 2}{5 - 0} [/tex]

[tex]m = \frac{2}{5} [/tex]

2) find value of y-intercept, c

from the graph, c = 2

2) use the formula y=mx+c

y = mx + c

y = 2/5x + 2

the answer is A

Answer:

$42

Step-by-step explanation:

The yearly membership is $450.

The monthly membership is $41. This means that in a year, the membership fee will be:

41 * 12 = $492

We have to subtract the yearly fee from this.

That means that if you choose the yearly membership over the monthly membership, you'll save:

492 - 459 = $42

Answer:

The correct answer is $42.

Answer:

F = P(1 - x)^n

F = 10,000(1 - 0.1)^7

F = 10,000(0.9)^7

F = $4,783

The value of the tractor in 7 years is $4,783

Step-by-step explanation:

Applying the exponential depreciation equation;

F = P(1 - x)^n

Where;

F = final value after n years

P = initial value

x = depreciation rate (fraction)

n = time

Given;

P = $10,000

x = 10% = 0.10

n = 7 years

Substituting the given values;

F = 10,000(1 - 0.1)^7

F = 10,000(0.9)^7

F = 4782.969

F = $4,783

The value of the tractor in 7 years is $4,783

Answer:

84

Step-by-step explanation:

since the triangle has parallel lines running through the angles equal the same for the triangle so finding x was just 180 - y+z =x

The answer is 2.

Please see the attached picture

Hope it helps

Good luck on your assignment

Answer:

(2, 5)

Step-by-step explanation:

Let the number of fancy throw pillows be x.

Let the number of plain throw pillows be y.

Hope spent a total of $131 on 7 throw pillows.

Fancy throw pillows  cost $28 and plain throw pillows cost $15.

These imply two things:

x + y = 7 _______  (1)

28x + 15y = 131 ___(2)

We have a linear system of equations.

From (1):

x = 7 - y

Substitute the value of f into (2):

28(7 - y) + 15y = 131

196 - 28y + 15y = 131

196 - 13y = 131

=> 13y = 196 - 131

13y = 65

y = 65 / 13

y = 5

This means that:

x = 7 - 5 = 2

Hope bought 2 fancy throw pillows and 5 plain throw pillows

Answer:

The numerator of the fraction is -360

Step-by-step explanation:

a=180(n-2)/n

Solve for n

a=180(n-2)/n

Open parenthesis

a=180n-360/n

Cross product

an=180n-360

Collect like terms

an-180n=-360

Factorise

n(a-180)=-360

Make n the subject of the formula

n=-360/(a-180)

The numerator of the fraction is -360

The denominator is (a-180)

Answer:

-360

Step-by-step explanation:

Answer:

x = 2 , y = 4

Step-by-step explanation:

If a quadrilateral has diagonals which bisect each other, then it is a parallelogram.

From the parallelogram we see:

2x = y

y = 2x

Substitute y = 2x in 2(y) - 2 = 6, gives:

2(2x) - 2 = 6

4x = 6 +2

x =2

Substitute x = 2 in y = 2x, gives:

y = 2(2)

y = 4

So x = 2 , y = 4

Answer:

hope this helps you

is this gonna help!!!!!!!!!!!1!!

Answer: 48 and 37

Step-by-step explanation:

Difference between two square numbers

= 64 ([tex]8^{2}[/tex]) - 16 ( [tex]4^{2}[/tex])

= 48

Difference between two cube numbers

= 64 ([tex]4^{3}[/tex]) - 27([tex]3^{3}[/tex])

= 37

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Answer:

Each person gets 1/8 pound

Step-by-step explanation:

Dad bought = 1/2 Pound of cake

He divided them into 4 people

So,

=> [tex]\frac{1}{2} / 4[/tex]

=> [tex]\frac{1}{2} * \frac{1}{4}[/tex]

=> [tex]\frac{1}{8}[/tex] Pound for each person

=> Each person gets 1/8 pound

Answer and Step-by-step explanation:

The computation is shown below:

As we assume a and b are together and c and d are together

So, the equation would be

[tex]= ab \times cd[/tex]

[tex]= (10a + b) \times (10c + d)[/tex]

= 100ac + 10(ad + bc) + bd

Now another equation i s

[tex]= ba \times cd[/tex]

[tex]= (10b + a) \times (10d + c)[/tex]

= 100bd  + 10(ad + bc)  + ac

Now take both equations together

So,

100ac  + 10(ad + bc)  +  bd  = 100bd  + 10(ad + bc)  + ac

99ac  =  99bd

ac = bd

Now Like here  a = 2   b = 10  and    c  = 5   d = 1

So,

ac = bd = 10

So we can take an example like this

So, by considering the

[tex]62 \times 13 = 806[/tex]

And,

[tex]26 \times 31 = 806[/tex]

We can the same amount

So in the given question, the choices are not there so we can calculate by the above method

Answer:

$10 to $11

Step-by-step explanation:

$1100÷100=$11

$1550÷150=$10.3333333333

Answer:

A. x = 24

B. x = 20

Step-by-step explanation:

→A. Add 2 to both sides:

[tex]\frac{x}{3} -2=6[/tex]

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

→The fraction [tex]\frac{x}{3}[/tex] is really just [tex]\frac{1}{3}x[/tex]:

→Multiply 3 to both sides:

x = 24

→B. Subtract 1 from both sides:

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

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

The fraction [tex]\frac{x}5}[/tex] is really just [tex]\frac{1}{5}x[/tex]:

→Multiply 5 to both sides:

x = 20

Answer:

Line S and Line Q

Step-by-step explanation: Line S and Q would form a pair of perpendicular lines because perpendicular lines form a 90 degree angle.

A pair of perpendicular lines in the given figure are line q and line s.

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

Given:

There are 4 lines in the diagram.

To find the pair of perpendicular lines:

Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.

And line q is perpendicular to line s.

Therefore, line q is perpendicular to line s.

To learn more about the perpendicular lines;

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Answer:

Step-by-step explanation:

Any multiple of the given equation is also a dependent linear equation

From the equation

-5x+7y=2

Multiplying all through by any number, say 2

2(-5x)+2(7y)=2(2)

-10x+14y=4 is a dependent linear equation for -5x+7y=2

If you don't fancy using a multiple, you can write the gradient equation y=mx+c

-5x+7y=2

7y=5x+2

Dividing all through by 7 gives the equation as

y=5x/7 + 2/7

Answer: i think it is 11x+7x

Step-by-step explanation:

Answer:

You Can Open up this link to find your answer!!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

X=8 bc 8-3=5

Answer:

A

Step-by-step explanation:

For functions with x in the denominator we want to make sure the denominator isn't 0. If x can't be -2 then the answer is A because x = -2 results in f(x) = 1/0 which is undefined.

Answer:

here is the answer

Step-by-step explanation:

(x + y, x - y)= (4,2)

therefore, x + y= 4 and x - y = 2

equating

x +y =4

x= 4-y

substituting

x - y= 2

(4-y)-y=2

4-2y=2

4-2=2y

2=2y

2/2=y

1=y

therefore,

x + y=4

x + 1=4

x= 4 - 1

x=3

verifying

3 + 1=4

4=4

3 - 1=2

2=2

Answer:

The equation in Slope-intercept form:

[tex]y = \frac{2}{3}x + 2[/tex]

Step-by-step explanation:

-Find the slope first, by using the slope formula:

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

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2},y_{2})[/tex] is the second point).

-Use two given points  from the following problem for the slope formula:

[tex]m = \frac{6-2}{6-0}[/tex]

-Then, solve the equation:

[tex]m = \frac{6-2}{6-0}[/tex]

[tex]m = \frac{2}{3}[/tex]

After you have the found the slope, use both the slope [tex]\frac{2}{3}[/tex] and the first point [tex](0,2)[/tex] for the Point-slope formula:

[tex]y - y_{1} = m (x-x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point).

-The equation in Point-slope form:

[tex]y - 2 = \frac{2}{3} (x-0)[/tex]

Then, you solve:

[tex]y - 2 = \frac{2}{3} (x-0)[/tex]

[tex]y - 2 + 2= \frac{2}{3} (x-0) + 2[/tex]

[tex]y = \frac{2}{3}x + 2[/tex]

-So, the equation in Slope-intercept form would be:

[tex]y = \frac{2}{3}x + 2[/tex]

The equation of the line is y = 2x/3 + 2 if the line that passes through (0, 2) and (6, 6).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through (0, 2) and (6, 6)

The slope-intercept form of the equation:

Slope of the line = (6-2)/(6-0)

The slope of the line = 2/3

The equation of the line:

y = 2x/3 + 2

Thus, the equation of the line is y = 2x/3 + 2 if the line passes through (0, 2) and (6, 6).

Learn more about the linear equation here:

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Answer:

[tex]3(x - 7)(x+7)[/tex]

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that [tex]3x^2[/tex] and -147 both have. The terms only have 3 in common, which can be divided with

[tex]3x^2 - 147\\3(x^2 - 49)[/tex]

However, we're still not done since 49 is a perfect square and [tex](x^2 - 49)[/tex] can be split into 2, like so:

[tex]3(x - 7)(x+7)[/tex]

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.

Quotient=3x^2+2x+2

Remainder=8

please see the attached picture for full solution

hope it helps

Good luck on your assignment

I solved in the picture

Hope this helps ^-^

Answer:

9/25

Step-by-step explanation:

36/100 = 9/25