the number of cars that go through the drive-in window at a local bank each hour is an example of a continuous random variable.

The value of X for the given equation is X = 3/4.

A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.

A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.

The given equation is

1/2 : 2/3 = X:1

We can rewrite it as

(1/2)/ (2/3) = X

X = 1/2 × 3/2

X= 3/4

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Answer:

3

Step-by-step explanation:

The value of the operation is 3.

The first step is to solve for the terms in the brackets.

The decimals would be added first 8.7 + 3.3 = 12 

The second step is to determine the square of one-half² =  x  = 1/4 

The third step is to multiply, 1/4 by 12 1/4 x 12 = 3

The probability will be 0.9940.

The provided parameters are

p = 0.05  (the true proportion or the mean )

n = 269   ( sample size )

we can calculate standard deviation as follows

σ = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

σ = 0.0132

Now the values that 'x' can take are

x = [tex]x_{1}[/tex] ±  [tex]x_{2}[/tex]

x = 0.05 + 0.03, 0.05 - 0.03

x = 0.08 , 0.02

Also the z-score is

z = (x - μ)/σ

z = [tex]\frac{0.08-0.05}{0.0132}[/tex]  , [tex]\frac{0.02-0.05}{0.0132}[/tex]

z = 2.27 , -2.27

we now find the p-values for the z-scores

p values are = 0.9970 , 0.0030

The difference in these values will give the probability

∴ P = 0.9970 - 0.0030

P =  0.9940

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Answer:

x=27 I think

Step-by-step explanation:

1 = 3x + 15

2 = 6x + 3

We can solve by putting both equations together.

Let's multiple the top equation by -2

-2(1 = 3x + 15)

-2 = -6x - 30

2 = 6x + 3

0=x - 27

27=x

The equation of the line that is perpendicular to y = 5 and that passes through the point (-7, -5) is x = -7.

We have to find the equation of a line that is perpendicular to y = 5 and that passes through the point (-7, -5).

y = 5 is a line that is parallel to the x-axis hence, the line perpendicular to it will be parallel to the y-axis.

Also, the line touches (-7,-5) hence, it will touch the line y = 5 at (-7,5).

Hence, the line perpendicular  to y = 5 and that passes through the point (-7, -5)  is x = -7.

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Answer:   0.4176 cups of flour

Step-by-step explanation: First you'll need to convert both amounts to the same denominator, using their LCM, which is 24. 1/3 x 8 = 8/24, 7/8 x 3 = 21/24. Then calculate what you need to multiply 21/24 with to get 24/24, 21/24 = 0.875   1.000- 0.875 = 0.125. Finally, multiply 1/3 by 0.125 which is 0.416... / 0.4167, so you'll need 0.4167 cups of flour, or 4,167/10,000 of a cup os flour.

Answer: b)

Please give brainliest thx

1. An exponential equation modeling the skateboard's value, y, in x years is y = 380 x 1.07ˣ.

2. The value of the skateboard will be worth $610.28 in seven years.

An exponential equation is a mathematical function that depicts an equation with variable exponents.

The exponential function is always written in the form of y = abˣ.

Where a = the constant or initial value, b = the continuous growth rate, and x  or t = the time variable.

Y represents the value that we are looking for after the growth rate has been applied for several (t) years.

The current worth of the skateboard = $380

Annual increase = 7% = 0.07

Number of years = 7 years

Y = 380 x 1.07⁷

= 380 x 1.606

= 610.28

= $610.28

Thus, in seven years, using the exponential equation, the skateboard will be worth $610.28.

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Answer:

-4

Step-by-step explanation:

(-2)^2 + 4(-2) =

= 4 - 8 =

= -4

The equation of line with a slope of -5 and which passes through point (-2, 8) is 5x + y = -2.

The formula for equation of line is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

Given the data in the question;

Point (-2,8)

First, we determine the y-intercept 'b'. Plug the coordinates and slope into the equation of line formula and solve for b.

y = mx + b

8 = (-5)(-2) + b

8 = 10 + b

b = 8 - 10

b = -2

Now, plug values of slope m and y-intercept b into y = mx + b to determine the equation of the line.

y = mx + b

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

y = -5x - 2

Convert to standard form; Ax + Bx = C

y = -5x - 2

Reorder the equation

5x + y = - 2

Therefore, the equation of the line is 5x + y = - 2.

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Step-by-step explanation:

X-intercept is where the line crosses the x-axis or where y = 0

So, put y = 0 in the given equation

4x + 2(0) = 12

4x = 12

x = 12/4

x = 3

Answer:

Answer:table B represents the linear equation which is:[tex]y=-3x+11[/tex]The graph of the linear function is also attached below.Step-by-step explanation:Given the table B values x

The equation that could be used to find q is q = 110-0.15(110) where q equal the price of a quarter-page ad after the markdown.

According to the question,

We have the following information:

Cost of a quarter-page ad cost = $110

Mark down in the price = 15%

Now, q represents the price of a quarter-page ad after the markdown.

(Note that when we remove the sign of % means that the number has to be divided by 100.)

So, the equation will be the difference of the markdown price from the original price:

q = 110-(15/100)110

q = 110-0.15*110

q = 110-0.15(110)

Hence, the correct option is the third one.

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That is one way to find out the answer

Answer:

y = -5/3 - 3

Step-by-step explanation:

Since it's given a graph, we can use rise over run to figure it out

We pick 2 points that are integers on the graph , which means two points on the graph that the line goes through

Example- I picked (-3, 2) and (0, -3), you can indicate them so you don't forget or anything

We now draw a triangle formed by those two points (a line that goes from (-3, 2) to (-3, -3) and a line from (0, -3) to (-3, -3)

Rise (Which is the height of the triangle you just drew) is 5 units, but it's going down, so -5

The base (Run) is 3 units. Using rise/run, the slope is -5/3

The y-intercept, which is at the point where the graph crosses the y-axis, is -3.

The slope intercept form is y=mx+b, where m = slope and b = y-intercept, so the equation of the graph is y = -5/3x -3

Answer:

The answer to this equation is (-1,1)

Answer:

3

Step-by-step explanation:

what it means by generator is the continuance of the multiplication process so 1x3=3 and then 3x3=9 and so on.

The equation of the graph in vertex form is: y = 1x – 3| + 5.

The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).

The vertex of the graph is the coordinate of the point where the two straight lines meet.

Given the graph above, the vertex is at point (3, 5). Therefore:

h = 3

k = 5

The graph opens up, so the value of a = 1.

Substitute h = 3 and k = 5 into y = a|x – h| + k:

y = 1|x – 3| + 5

y = 1x – 3| + 5

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Answer:

2.12

Step-by-step explanation:

Discussion

The answer is given in the graph I've made for you. The distance you want is a contained in a line that is perpendicular to the given line and goes through (2,-1). If I have not interpreted this correctly please leave a comment under the question and I will edit it. I have ignored the 4.

The steps needed are

Givens

line y = -x + 4

point (2,-1)

Solution

The slope of the second line is

m1 * m2 = - 1

m1=  -1                From the given equation

m2 = ?

-1 * m2 = - 1

m2 = 1

Find the equation of the new line

x = 2

y = - 1 from the given point

-1 = 2 + b             Subtract 2 from both sides

-1 - 2 = 2-2 + b    Combine

-3 = b

Equation of the new line

y = x - 3

Intersection point of the two lines

y = -x + 4

y = x - 3              Add The xs cancel

2y = 1                  Divide by 2

y = 1/2

1/2 = -x + 4          Subtract 4 from both sides

1/2 - 4 = -x + 4 -4 Combine        

-3 1/2  = -x            Multiply both sides by - 1

3 1/2 = x

So the intersection point is (3.5, 0.5)

Find the distance between (2,-1) and (3.5,0.5)

d = sqrt( (2 - 3.5)^2 + (-1 - 0.5)^2 )

d = sqrt( (-1.5)^2 + (-1.5)^2 )

d = ( 1..5 * sqrt(2) )

d = 2.12

The equation for the absolute value function is y = -2lx-4l + 2

An absolute value function is what?

A function that surrounds an algebraic expression in absolute value symbols is called as an absolute value function. Remember that a number's distance from 0 on the number line represents its absolute value. The definition of the absolute value parent function is given as follows: f(x)=x if x>00 if x=0 if x0.

Y=a| x+h |+k is the form of the equation for an absolute value function. Also:

The graph's vertex is (h,k).

The range of the graph is y≥k for a>0 and its domain is a set of all real numbers.

The range of the graph is y≤k when a0, and its domain is a set of all real numbers.

X=h is the symmetry axis.

If a>0, it opens up; if a0, it opens down.

The graph of y=a| xh |+k can be created by translating the line graph y=| x | by h units horizontally and k units vertically.

If | a | 1 and if | a | >1, the graph of y=a| x | is wider than the graph of y=| x | and narrower.

So here (h,k)=(4,2)
range of y≤2

and its narrower so a≥1
hence the equation is y = -2 l x-4 l +2


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The equation of the graph represented by the figure is f(x) = |x - 3| + 5

From the question, we have the following graph that can be used in our computation:

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation is f(x) = |x - 3| + 5

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Answer:

40% = 0.40800 / 0.40 = 2000 total tickets were sold

Step-by-step explanation:

Answer:

648

Step-by-step explanation:

ans: 81/100 x800

       =648

Answer:

5

Step-by-step explanation:

The sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.

We will use the method of percentage to solve the given question.

We are given:

A basketball backboard set that sold for $79 is discounted by 15%.

We need to find the sale price after the discount is given.

We will subtract the discount from the marked price.

Let us solve this;

Sale price = marked price - discount

Sale price =  $79 - $79 * 15%

Sale price =  $79 - $79 * 15 / 100

Sale price =  $79 - $11.85

Sale price = $67.15

So, the sale price will be $67.15.

Thus, the sale price of a basketball backboard set that sold for $79 is discounted by 15% is $67.15.

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The composite figure has a total area of 12 square centimeters.

In this problem we find the area of a composite figure, which is the result of subtracting the areas of four triangles of same dimensions from the area of the entire square. Now we proceed to determine the area:

A = (6 cm)² - 4 · 0.5 · (2 cm) · (3 cm)

A = 36 cm² - 2 · (12 cm²)

A = 36 cm² - 24 cm²

A = 12 cm²

The area of the composite figure is 12 square centimeters.

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