The lines represented by the equations 2y - 3x = 14 and y - 3/2x= 7 are

If you flip a coin one time, the probability to get a Head is

p = 1/2

The probability of not getting a head in a single toss is :

q = 1 - 1/2 = 1/2

Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.

Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :

P(X = 5) = [tex]\frac{10!}{5!*5!} *(\frac{1}{2})^{5} *(\frac{1}{2})^{5}[/tex]≈ 0.246

So the probability of that is 24,6 %

Good Luck

Answer:B and c

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

3*x-2*y-(27)=0

STEP1:

Equation of a Straight Line

1.1 Solve 3x-2y-27 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x-2y-27 = 0 and calculate its properties

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 27/-2 so this line "cuts" the y axis at y=-13.50000

y-intercept = 27/-2 = -13.50000

Calculate the X-Intercept :

When y = 0 the value of x is 9/1 Our line therefore "cuts" the x axis at x= 9.00000

x-intercept = 27/3 = 9

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -13.500 and for x=2.000, the value of y is -10.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -10.500 - (-13.500) = 3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 3.000/2.000 = 1.500

Geometric figure: Straight Line

Answer:

D: assets.

Step-by-step explanation:

Answer:

19.08

Step-by-step explanation:

each gal = $2.12

gals filled = 9

9 x 2.12 = 19.08

Answer:

The company filled 454570 bags.

Step-by-step explanation:

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

Answer:

y equals 3x plus 4 is the answer

Step-by-step explanation:

hope it helps

Answer:

(-9, 5)

Step-by-step explanation:

1. Find the equations of both lines (y = mx +b).

For the table on the left, we can see that the y-intercept is 23 (at x=0, y=23). Hence, b = 23. We can also see that the y-value for the left table increases by increments of 2, meaning that the slope (m) will be 2. Thus:

f1(x) = 2x + 23

For the right table, do the same thing. The table tells us that when x = 0, y = -58 (so b = -58). We also see that the y-value DECREASES in increments of 7, meaning that the slope, m = -7. Thus,

f2(x) = -7x - 58

2. Set the equations equal to each other to find the x-value at which the two equations will intersect.

2x + 23 = -7x - 58

9x = -81

x = -9

3. Plug your newfound x-value into any of the two equations to find the y-value at which both equations will intersect.

y = 2x + 23

y = 2(-9) + 23

y = 5

OR

y = -7x - 58

y = -7(-9) - 58

y = 5

ANSWER: At the point (-9, 5), the two lines intersect. Hence, the solution to the equation is (-9, 5).

Answer:

x = -9 and y =. 5

Step-by-step explanation:

(-2, 19) and (-1, 21)

Slope: (21-19)/(-1- -2) = 2

y-intercept = 21 - (2)(-1) = 23

a) y =2x + 23

(-2,-44) and (-1,-51)

Slope: (-51- - 44)/(-1- -2) = -7/1 = -7

y-intercept: -44-(-7)(-2)=-58

b) y = -7x - 58

Substitute y in equation a.

-7x-58 = 2x + 23

-9x = 81

x = -9

Substitute X by -9 in equation b: y = -7(-9) - 58= 5

y = 5

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!

Answer:

$176,250

Step-by-step explanation:

Multiply $3.75 million by Tomas commission on his total sales.

Since you can't multiply a percentage you have to turn the commission into a decimal by moving it two spaces to the left. (Note: if it doesn't have a decimal add one add the end of the number then move it two spaces to the left)

$3,750,000 x .025 or 0.025 = $93,750

Add $93,750 to Tomas yearly salary

$93,750 + $82,500 = $176,250

So

If Tomas sold properties that totaled $3.75 million in sales during one year, his earnings for that year would be $176,250

Answer:

\(x = 1\)

Step-by-step explanation:

Based on the given conditions, formulate: \(x = 12 \div 12\)

Cross out the common factor:\(x = 1\)

Answer: \(x = 1\)

Answer:

0

Step-by-step explanation:

50

If 10 is 20% of a number, we can multiply it by 5 to get the original number.

So 10 * 5 = 50, and 20% of 50 is 10.

I hope this helps! :)

Answer:

1)36

2)1/36

Step-by-step explanation:

Hope it can help you lovelots

Answer:

1 1 0 0 1 1 (base 2)

Step-by-step explanation:

Do it as a common sum operation, remember that when you have 2 or more you need to carry over.

Answer:

228.75 km/h

Step-by-step explanation:

average speed = total distance / total time

The Average speed is 228.75 Km/h.

Given:

Distance= 30.5 Km

Time= 8 min

       = 8/60 hr= 2/15 hour

Now, Average speed= Distance / time

                                  = 30.5 x 15/2

                                 = 228.75 Km/ h

Learn more about average speed here:

https://brainly.com/question/9834403

#SPJ2

Answer:

[tex]\boxed {\boxed {\sf C. \ - \frac {3}{2}}}[/tex]

Step-by-step explanation:

We are asked to find the slope of the line.

Slope is a number that tells us the steepness and direction of a line. It is the change in y over the change in x.

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

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

We are given the points (-3, 1) and (1, -5). If we match the value with its corresponding variable, we see that:

Substitute the values into the formula.

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

Solve the numerator.

[tex]m= \frac{ -6}{1--3}[/tex]

Solve the denominator. Two back-to-back negative signs become a positive sign.

[tex]m=\frac{-6}{4}[/tex]

Simplify the fraction. Both the numerator and denominator can be divided by 2.

[tex]m= \frac{-6/2}{4/2}[/tex]

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

The slope of the line is -3/2, so the correct choice is C.

Answer:

Step-by-step explanation:

Answer:

None of these are correct

Step-by-step explanation:

XZ = XY + YZ = 48 + 50 = 98

Answer:

2/8ths are left

Step-by-step explanation:

8 equal.pieces means 8/8

she ate 1/8 and he ate 5/8

thats 6/8

8/8 - 6/8 = 2/8

Answer:

1

Step-by-step explanation:

i dunno maybe not sure

If the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Recall:

Given the algebraic expressions for the dimension of the rectangular court as:

length = (7x + 8) ft

width = (3x + 6) ft

Area = [tex](7x + 8) \times (3x + 6)[/tex]

[tex]Area =7x(3x + 6) +8(3x + 6)\\\\Area = 21x^2 + 42x + 24x + 48\\\\[/tex]

[tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Therefore, if the length of a tennis court is (7x + 8) ft, and its width is (3x + 6) ft, the expression of that represents the area of the court is: [tex]\mathbf{Area = 21x^2 + 66x + 48}[/tex]

Learn more here:

https://brainly.com/question/17041379

Answer:

m = 8

Step-by-step explanation:

2m + m = 24 ( collect like terms on left side )

3m = 24 ( divide both sides by 3 )

m = 8

Answer:

m = 8

Step-by-step explanation:

2m + m = 24

3m = 24

(3m)/3 = (24/3)

m = 8

Check:

2*8 + 8 = 24

16 + 8 = 24

Answer:

$1.129

Step-by-step explanation:

Answer:

Its 53 because 1=1 and 2=2

Step-by-step explanation:

Answer:

Pretty sure the answer is 9−4√3

[tex]\dfrac{(5-\sqrt 3)(3-\sqrt 3)}{2}\\\\=\dfrac{15 - 5\sqrt 3 - 3\sqrt 3 + 3}{2}\\\\=\dfrac{18 - 8 \sqrt 3}2\\\\=\dfrac{18}2 - \dfrac{8 \sqrt 3}2\\\\=9- 4\sqrt 3[/tex]

Answer:

c. is correct

Step-by-step explanation:

hipe its attachments