at euler middle school, 198 students voted on two issues in a school referendum with the following results: 149 voted in favor of the first issue and 119 voted in favor of the second issue. if there were exactly 29 students who voted against both issues, how many students voted in favor of both issues?

The probability that a randomly selected point within the circle falls in the red shaded area is the fraction 7/11.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

total possible outcome is the area of the circle

the required outcome is the area of the square

area of the circle = (22/7)(4)²

area of the circle = (22/7)(16)

area of the circle = 352/7

area of the square = (4√2)²

area of the square = (4√2)(4√2)

area of the square = 16 × 2

area of the square = 32

probability a randomly selected point within the circle falls in the red shaded area is calculated as follows;

32/(352/7)

changing division to multiplication

32 × 7/352

32 is a factor of 352 and can cancel out

1 × 7/11

7/11

Therefore, the probability a randomly selected point within the circle falls in the red shaded area is 7/11.

Learn more about probability here: https://brainly.com/question/24830485

#SPJ1

In order to plot points H I and J on the coordinate planeIdentify the x-coordinate and y-coordinate of each point (H, I, and J). For example, let's say the coordinates are as follows:

Point H: (xH, yH)

Point I: (xI, yI)

Point J: (xJ, yJ)

Locate the origin (0, 0) on the coordinate plane. This is the starting point for plotting any point.

Move along the x-axis according to the x-coordinate of each point. If the x-coordinate is positive, move to the right; if it's negative, move to the left. Mark a point on the x-axis at the appropriate location.

Move along the y-axis according to the y-coordinate of each point. If the y-coordinate is positive, move upward; if it's negative, move downward. Mark a point on the y-axis at the appropriate location.

The point where the x and y axes intersect is the location of the point. Mark that point on the coordinate plane.

Learn more about coordinate on

https://brainly.com/question/29765572

#SPJ1

How to Plot points H I and J on the coordinate plane

Answer:

2.94 for fries and 5.90 for drinks

Step-by-step explanation:

Here is the histogram of a data distribution. The best description of the shape of this distribution is Unimodal Skewed. So, the correct answer is option D.

This is due to the data's single peak representation, which shows that it is centred around a single value. Additionally, the peak's asymmetrical shape suggests that the data is skewed to one side.

The data is right-skewed since the bulk of it is on the right side of the peak. Unimodal When the vast majority of the data are grouped together around a single value, skewing the data to one side, skewed distributions are highly common.

When there are outliers in the data and the data is not normally distributed, such distributions are frequently produced.

To learn more about histogram visit:

https://brainly.com/question/28164315

#SPJ4

Answer:

-13 + 25 = 12

Step-by-step explanation:

You get 12 because 13 is a negative so subtract 25 from 13 and that turns 13 into 0 so 0 + 12 = 12

Sorry if my explanation didn't make sense.

Answer: quadrilateral is inscribed in a circle , then supplementary . " its opposite angles are Given : Quadriateral ABCD is inscribed in OE Prove : ABC

Step-by-step explanation:

The equation for the temperature, d, in terms of t (the number of hours since midnight), is:  d = 16 × sin((π/12) × t) + 55

To find an equation for the temperature, we need to determine the amplitude, period, phase shift, and vertical shift of the sinusoidal function.

The amplitude is half the difference between the high and low temperatures, which is (71 - 39) / 2 = 16 degrees. The period is the number of hours in a day, which is 24 hours. Since the temperature is at its highest point at 12:00 PM (midday), there is no phase shift. The vertical shift is the average of the high and low temperatures, which is (71 + 39) / 2 = 55 degrees.

Putting these values together, the equation for the temperature, d, in terms of t can be written as:

d = 16 × sin((2π/24) × t) + 55

Learn more about equation for the temperature here:

https://brainly.com/question/30171443

#SPJ11

Answer:

What is the equation, it’s hard to understand

Step-by-step explanation:

Answer:

The wheel completed a total of 212 turns.

Step-by-step explanation:

A wheel has a circular form, therefore its length is given by the following formula:

\(length = 2*\pi*radius\)

Where radius is half the diameter. Applying the data from the problem to calculate the length of the wheel gives us:

\(length = 2*\pi*(\frac{1.5}{2})\\length = 1.5*\pi = 4.7124\)

Since the engine traveled a distance of 1000 metres and each turn of the wheel has 4.7124 metres, in order to calculate the number of turns the wheel made in that course we need to divide both numbers as shown below:

\(turns = \frac{1000}{4.7124} = 212.21\)

The wheel completed a total of 212 turns.

Answer:

A

Step-by-step explanation:

Answer:

4p, (p+1), and (p+8)

Step-by-step explanation:

all of these are raised to get the equation 4p^3 + 36p^2 + 32p

Answer:

Step-by-step explanation:

first term = 12
common ratio = 1/3

a1 = 12

a2 = 4

a3 = 1.333

a4 = 0.4444

a5 = 0.1481

a6 = 0.04938

a7 = 0.01646

a8 = 0.005487

Answer:

3/5

Step-by-step explanation:

0.6 = 6/10

6/10=3/5

Answer:

0.6 = 6/10 = 3/5

Step-by-step explanation:

0.6 in a fraction form also simplified is 3/5

Answer:

x+345-398

Step-by-step explanation:

x+345-398

=x-53

where x is the amount of money he previously had on his account

If x and y are integers and x=50y+69, the only option that must be odd is option c, x + 2y.

To determine which of the given expressions must be odd, we need to analyze the equation x = 50y + 69.

Given that x is defined in terms of y, we can substitute this expression into the given options to evaluate their parity.

a. xy = (50y + 69)y = 50y^2 + 69y

The product of two integers will be even if one or both of the integers are even. Since y can be any integer, xy can be even or odd. Therefore, option a is not necessarily odd.

b. x + y = (50y + 69) + y = 50y + 70

The sum of two integers will be even if both integers have the same parity. In this case, since 50y is always even (multiplication by 50), and 70 is even, the sum 50y + 70 is always even. Therefore, option b is not necessarily odd.

c. x + 2y = (50y + 69) + 2y = 50y + 2y + 69 = 52y + 69

Similar to the previous case, the sum 52y + 69 is always odd, regardless of the value of y. Therefore, option c must be odd.

d. 3x - 1 = 3(50y + 69) - 1 = 150y + 207 - 1 = 150y + 206

Since integers 150y is always even (multiplication by 150), and 206 is even, the sum 150y + 206 is always even. Therefore, option d is not necessarily odd.

e. 3x + 1 = 3(50y + 69) + 1 = 150y + 207 + 1 = 150y + 208

As shown before, 150y is always even (multiplication by 150), and 208 is even, so the sum 150y + 208 is always even. Therefore, option e is not necessarily odd.

Therefore, the only option that must be odd is option c, x + 2y.

To know more about integers check the below link:

https://brainly.com/question/17695139

#SPJ4

Answer:

b, c,e

Step-by-step explanation:

Answer:

b,c,e

Step-by-step explanation:

Answer:

g=x−5/5x

Step-by-step explanation:

Let's solve for g.

gx=−1+

1/5x

Step 1: Divide both sides by x.

gx/x=1/5

x−1/x

g=x−5/5x

The kind of transformation which converts the graph of f(x)  into the graph of g(x) is vertical shrink .

What is transformation in graph?

A graph transformation is a procedure that modifies an existing graph or graphed equation to create different version of the following graph.

It is given that the functions are :

f(x) = -9(x+6)2 - 3

g(x) = -9(x-4)2 - 3

We know that if we perform transformation that meant the graph of f(x) is transformed into the graph of g(x).

i.e.,

f(x) = -9(x+6)2 - 3

f(x) = -18(x+6) - 3

f(x) = -18x - 128 - 3

f(x) = -18x - 72 - 56 - 3

f(x) = -9(x-4)2 - 3 - 56

f(x) = g(x) - 56

or g(x) =  f(x) + (-56)

So , as we are adding f(x), this suggests that the transformation is one of the vertical shrink type.

Therefore, the kind of transformation which converts the graph of f(x)  into the graph of g(x) is vertical shrink .

Learn more about transformation of graph here :

https://brainly.com/question/17827171

#SPJ1

The mean of the data is 21.6.

The mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Given data

{22.1, 23.8, 20, 23.3, 20.2, 24.2, 21.8, 22.7, 21.2, 21.3, 21.7, 23.2, 19.1, 22.3, 22.1, 20.9, 20.7, 20.2, 23.3, 19.6, 20.7, 24.5}

Sum of observations  = 22.1 + 23.8 + 20 + 23.3 + 20.2 + 24.2 + 21.8 + 22.7 + 21.2 + 21.3 + 21.7 + 23.2 + 19.1 + 22.3 +  22.1 + 20.9 + 20.7 + 20.2 + 23.3 + 19.6 + 20.7 + 24.5 = 478.9

Number of observations = 22

Mean = \(\frac{Sum \ of \ observations}{Number \ of \ observations}\)

Mean = \(\frac{478.9}{22}\) = 21.6

The mean of the data is 21.6.

Find out more information about mean here

brainly.com/question/23706022

#SPJ2

The value of (16^x)/(2^y) if 4x-y=12 is 4096.

Therefore the answer is 4096.

We are given the equation 4x - y = 12. To find the value of (16^x)/(2^y), we need to find the values of x and y. To do this, we can isolate either x or y and solve for it:

4x - y = 12

y = 4x - 12

We can substitute the expression for y into the expression for (16^x)/(2^y) to find the value:

(16^x)/(2^y) = (16^x)/(2^(4x - 12)) = (16^x)/(2^(4x)) * (2^12)

Note that 2^4 = 16, so (16^x)/(2^4x) = 1, which means that (16^x)/(2^y) =2^12.

Therefore, the value of (16^x)/(2^y) is 4096.

--The question is incomplete, answering to the question below--

"If 4x-y=12, then what is the value of (16^x)/(2^y) "

To know more on exponential

https://brainly.com/question/29789897

#SPJ4

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

Answer:

143 is for the 715 miles and 55 is for the 275 miles no I don't think they have the same rate.

Step-by-step explanation:

275/5= 55

715/5= 143

In school suspension

A large p-value implies that the observed value is consistent with the null hypothesis (option a).

This means that there is a higher probability that the observed data occurred by chance, and there is not enough evidence to reject the null hypothesis. A large p-value is not directly associated with a large t-statistic (option b), nor does it lead to the rejection of the null hypothesis (option c). Instead, a large p-value suggests that any observed effects or differences may be attributed to random variation rather than a true underlying effect or relationship.

Learn more about probability here:

https://brainly.com/question/29221515

#SPJ11

Answer:

(h,k) = (32,-4)

r = 32

Step-by-step explanation:

The general equation for a circle is given by:

\((x-h)^2+(y-k)^2=r^2\)   (1)

where (h,k) is the center of the circle and r is the radius.

You have the following equation:

\(x^2+(y+4)^2=64x\)   (2)

You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:

2b = 64

b = 32

Then, you have to sum 32^2 and also subtract the same number in the expression (2):

\(x^2-64x+(y+4)^2=0\\\\(x^2-64x+32^2)+(y+4)^2-32^2=0\\\\(x-32)^2+(y+4)^2=32^2\)

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32

Furthermore, the center of the circle is (h,k) = (32,-4)

The required solution  of the given expression is  12.247.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

\(\frac{150}{\sqrt{150} } \\\)

Simply or simplification is reducing the expression/fraction/problem in a simpler form. A fraction is in simplest form if the top and bottom have no common factors other than 1.

The process of making something less complicated and therefore easier to do or understand, or the thing that results from this process.

According to given question we have

\(\frac{150}{\sqrt{150} } \\\)

We know that the square root of 150 is  12.247.

By putting the value we have

150/12.247

= 12.247.

Therefore, the required solution  of the given expression is  12.247.

Learn more details about expression here:

https://brainly.com/question/14083225

#SPJ1

The requried simplified value of x in the given expression is given as x = 128/27.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x ÷ 2/3= 7 1/9

Simplifying the above expression,
x = (7×9 +1 / 9) × 2/3
x = 64/9 × 2/3
x = 128/27

Thus, the requried simplified value of x in the given expression is given as x = 128/27.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1