Juan paid $18 for the six horror movies he rented in October.
What is the unit rate of the situation?
Unit rate =
Write the equation.
Make a table of x and y values for the number
of movies Juan rented and the total cost.
y =

Answer:

A) The standard formula of the equation of a circle that has a center of (-4,-2) and contains the points (-1,2) is (x + 4)2 + (y + 2)2 = 25.

B) The general formula for the equation of a circle is (x - h)2 + (y - k)2 = r2, where (h,k) is the center of the circle and r is the radius.

Answer:

\(\displaystyle d = \sqrt{72}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (2, -3)

Point (8, -9)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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we can write a equation for each statement

The receipts were $3331.50

where g is the number of general ticket and r the number of reserverd ticket

930 paid admissions

we have two equations, we can solve a variable for the second equation an replace on the firts, i will solve g

now replace on the first equation to solve r

the number of reserved tickets is 327

now replace r=327 on the second equation to find g

the number of general tickets is 603

Answer:

ljknmi

Step-by-step explanation:

i did this last year

Answer:

k-j is diameter

L-i is radius

N-M is chord

Step-by-step explanation:

jk is 8 units

so length of IL will be 4 units

because radius is half of a diameter.

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

\(\frac{1}{7}\)

Step-by-step explanation:

Amount of cake Rani ate = \(\frac{2}{7}\)

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = \(\frac{4}{5}\) × (\(\frac{7}{7}\) - \(\frac{2}{7}\))

                                               = \(\frac{4}{5}\) × \(\frac{5}{7}\)

                                               = \(\frac{4}{7}\)

Amount of cake left = \(\frac{7}{7}\) - \(\frac{2}{7}\) - \(\frac{4}{7}\)

                                 = \(\frac{1}{7}\)

Complete question :

The Venn diagram relating to the question can be found in the picture attached below :

Answer:

A.) 15 ; b.) 17 ; c.) 20 ; d.) 19 ; e.) 55 ; 67; 76 ;100 ; F.) 369

Step-by-step explanation:

Let :

Cars = C ; Motorcycle = M ; Tricycle = T ; Walking = W

a) How many students ride in a tricycle, motorcycle and car going to their school

Intersection of the 3 modes;

(C n M n T) = 15 ; it is the number which sits in between all the three circles.

B.) How many students ride in both a motorcycle and a tricycle?

(M n T) = 17 ; number in the middle of both circles representing motorcycle and tricycle

C.) How many students ride in both a motorcycle and a car?

(M n C) = 20 ; number in the middle of both circles representing motorcycle and Car

D) How many students ride in both a car and tricycle?

(C n T) = 19 ; number in the middle of both circles representing Car and tricycle

e.)How many students go to school

in a car only = 55

in a motorcycle only = 67

Tricycle only = 76

Walking = 100

F.) How many Grade Seven students of Koronadal National Comprehensive High School are there in all?​

(100 + 67 + 76 + 55 + 19 + 20 + 17 + 15) = 369

The mean of the data in the frequency distribution that includes temperature would be 52. 17 degrees.

The mean of the temperatures when given the frequency distribution can be calculated by the formula :

= ( ∑ ( Frequency x Mean of range ) ) / Total frequency

The mean is

= ( ( ( 40 + 44 ) / 2 x 3 ) + ( ( 45 + 49 ) / 2 x 5 ) + ( ( 50 + 54 ) / 2 x 12 ) + ( ( 55 + 59 ) / 2 x  6 ) + ( ( 60 + 64 ) / 2 x 3 ) ) / ( 3 + 5 + 12 + 6 + 3 )

= 1, 513 / 29

= 52. 17 degrees

It computed mean is lower than the actual mean.

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The requried value of x that satisfies the problem is 4.5,

Let's start by finding the side length of the square tabletop, which is equal to the square root of its area. We have:

Area = 9x² - 30x + 25

Side length = √(Area) = √(9x² - 30x + 25)

To find x, we need to use the fact that the perimeter of the table top is 34 feet. The perimeter of a square is given by 4 times the length of one of its sides, so we can write:

Perimeter = 4 * Side length

34 = 4 * √(9x² - 30x + 25)

8.5 = √(9x² - 30x + 25)

9x² - 30x - 47.25 = 0

We can solve this quadratic equation by using the quadratic formula gives,

x = 4.5 and -1.16

Therefore, the value of x that satisfies the problem is approximately 4.5, since the other solution is negative and not meaningful in this context.

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Answer:

Step-by-step explanation:

What is the measurement of these congruent angles ?

14x - 5 = 13x

14x - 13x = 5

x = 5

-----------------------

check & angles

14 * 5 - 5 = 13 * 5

65 = 65

the answer is good

-----------------------------

Answer: Hope this helps ;)

Step-by-step explanation:

The probability that the mean length of 48 items is greater than 8.8 inches can be calculated using the normal distribution.

First, we need to standardize the value 8.8 inches by subtracting the mean length (10.2 inches) and dividing by the standard deviation (3.3 inches):

(8.8 - 10.2) / 3.3 = -1.4 / 3.3 = -0.42424242

We can use a z-table or a normal distribution calculator to find the probability that a random variable is less than -0.42424242 standard deviations below the mean. This probability is equal to the probability that the mean length of 48 items is greater than 8.8 inches.

Using a calculator, we find that the probability is 0.3389.

Rounding to four decimal places, the probability that the mean length of 48 items is greater than 8.8 inches is 0.3389.

Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

Answer:

  (x+4)/(3x-3)

Step-by-step explanation:

You want to simplify the compound fraction ((x²/(x-1))/((3x²/(x+4)).

As with numerical fractions division by a fraction is the same as multiplication by its inverse. Common factors in the numerator and denominator cancel.

  \(\dfrac{\left(\dfrac{x^2}{x-1}\right)}{\left(\dfrac{3x^2}{x+4}\right)}=\dfrac{x^2}{x-1}\times\dfrac{x+4}{3x^2}=\dfrac{x+4}{3(x-1)}=\boxed{\dfrac{x+4}{3x-3}}\)

The Distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

The distance between two points in a coordinate plane. The distance formula is based on the Pythagorean theorem and calculates the straight-line distance between two points.

The coordinates of the first point as (x1, y1) = (4, -2) and the coordinates of the second point as (x2, y2) = (7, -9).

The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Plugging in the values:

d = sqrt((7 - 4)^2 + (-9 - (-2))^2)

d = sqrt((3)^2 + (-7)^2)

d = sqrt(9 + 49)

d = sqrt(58)

Hence, the distance between the points (4, -2) and (7, -9) is sqrt(58) or approximately 7.62 units.

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Standard deviation is the average distance away from the mean, thus B is correct

Answer:

1607

Step-by-step explanation:

The radius of the cylinder is equal to 10 feet.

In Mathematics and Geometry, the volume of a cylinder can be calculated by using the following formula:

Volume of a cylinder, V = πr²h

Where:

By substituting the given parameters into the formula for the volume of a cylinder, we have the following;

V = πr²h

1,570 = 3.14 × r² × 5

1,570 = 15.7r²

r² = 1,570/15.7

r² = 100

Radius, r = √100

Radius, r = 10 feet.

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The exact surface area of the cone is 360π cm².

What is a cone?

A cone is a three-dimensional geometric shape that tapers smoothly from a flat, usually circular base to a point called the apex or vertex. A cone can be thought of as a pyramid with a circular base. The surface of a cone consists of a curved lateral surface and a flat circular base.

the surface area of a cone is

S = πr² + πrs

here, r is the radius of the base and s is the slant height of the cone.

First, we need to find the radius of the base.  

using the Pythagorean theorem to find it:

r²+ h² = s²

where h is the height of the cone. Substituting the given values, we get:

r² + 24² = 26²

r² = 26² - 24²

r² = 100

r = 10

Now we can use the formula for the surface area of the cone:

S = πr² + πrs

S = π(10)² + π(10)(26)

S = 100π + 260π

S = 360π cm².

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Answer:

the slope should be 5

Step-by-step explanation:

y = 5x - 10

Answer:

d=300+30d

Step-by-step explanation:

300 beats were already sold. Now he will sell 30 beats per day (d)

The equation models the number of Beats will be b = 30d + 300.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Dr. Dre is the founder and CEO of Aftermath Entertainment and Beats Electronics. On the release day, Dr. Dre sold 300 Beats and averaged 30 Beats per day after that.

The equation models the number of Beats, b, Dr. Dre sold after d days will be

b = 30d + 300

The equation models the number of Beats will be b = 30d + 300.

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The median will be greater than the mean in a left-skewed distribution

We have,

In statistics, skewness is a measure of the asymmetry of a probability distribution around its mean.

A distribution is said to be skewed left if it has a long tail on the left side and the bulk of the data is on the right side.

When the data is skewed left, it means that the distribution is being pulled towards the left side.

This is because there are a few extreme values on the left side that are pulling the mean in that direction.

In contrast, the median is the middle value of the dataset, and it is not influenced by outliers.

For a left-skewed distribution,

The median will be greater than the mean because the mean is being pulled towards the left by the few extreme values.

In a data distribution that is skewed left, the mean will be less than the median.

This is because the mean is sensitive to outliers and is pulled towards the direction of the skewness, while the median is not affected by extreme values and is a more robust measure of central tendency.

Therefore,

The median will be greater than the mean in a left-skewed distribution

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Answer:

6

Step-by-step explanation:

c(2)=(-9/2)*(-4/3)^(2-1)=(-9/2)*(-4/3)=6

Using the lognormal and the binomial distributions, it is found that:

In a lognormal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{\ln{X} - \mu}{\sigma}\)

In this problem:

Question 1:

The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.

\(Z = \frac{\ln{X} - \mu}{\sigma}\)

\(1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}\)

\(\ln{X} - 3.5 = 1.28\sqrt{1.22}\)

\(\ln{X} = 1.28\sqrt{1.22} + 3.5\)

\(e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}\)

\(X = 136\)

The 90th percentile of this distribution is of 136 dB.

Question 2:

The probability is the p-value of Z when X = 150, hence:

\(Z = \frac{\ln{X} - \mu}{\sigma}\)

\(Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}\)

\(Z = 1.37\)

\(Z = 1.37\) has a p-value of 0.9147.

There is a 0.9147 = 91.47% probability that received power for one of these radio signals is  less than 150 decibels.

Question 3:

10 signals, hence, the binomial distribution is used.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

For this problem, we have that \(p = 0.9147, n = 10\), and we want to find P(X = 6), then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065\)

There is a 0.0065 = 0.65% probability that for  6 of these signals, the received power is less than 150 decibels.

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The radius of the cylinder is 1.59 centimeters.

Remember that for a cylinder of radius R and height H, the volume is given by the formula:

V = pi*R^2*H

Where pi = 3.14

Here we know that the height is 76cm, and the volume is 600cm³, then we can replace these two in the equation to get:

600cm³ = 3.14*(76cm)*R^2

Solving for R, we will get:

R = √( 600cm³/3.14*(76cm)) = 1.59 cm

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The radius of the cylinder is r=50.129

The radius of the cylinder is the radius of a base. The altitude of the cylinder is a perpendicular segment from the plane of one base to the plane of the other and the height of the cylinder is the length of the altitude. The axis of a cylinder is the segment containing the centers of the two bases

The volume of a cylinder is 600,000.

The height is 76cm and the radius is unknown. How do you solve it?

The volume of a right cylinder can be determined by πr²h,

where

r is the radius,

h is the height, and

pi is a constant.

So:

76πr²=600000

πr²=600000/76=7894.736

r²=2512.972

r=50.129 cm^2

Hence, the radius is 50.129 cm^2

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Step-by-step explanation:

Look at the table in picture above the result of table is true for all values so it is called tautology.

And there is a mistake in row 1.

Note:if you need to ask any question please let me know.

Answer:

A. B. C. D.

Step-by-step explanation:

You can find the angles of all of those easily just from angle 1, but for angle 5 and 6 you can't

to find angle one it's obviously what it says

to find 2 and 4 you do 180-whatever angle one is

to find angle 3 it's the exact same of angle one because they are like opposite or whatever.

The number of boxes that Amanda can cover with W square inches of wallpaper will be equal to W/2(lw + lh + wh).

Let's assume that Amanda wants to build n wooden storage boxes. All of these boxes are shaped like rectangular prisms, as shown in the image below.

She wants to cover all the sides of each box with special wallpaper. If she has a total of W square inches of wallpaper, we need to find out how many boxes she can cover. Let's solve this problem mathematically.

Mathematical Solution:

Each rectangular prism has six sides (faces). If we want to cover all the six sides of a rectangular prism with special wallpaper, we need to find the total surface area of that rectangular prism. Therefore, the surface area of each rectangular prism can be calculated by the formula:

Surface Area = 2lw + 2lh + 2wh,

where l, w, and h are the length, width, and height of the rectangular prism, respectively.

We know that Amanda has W square inches of wallpaper to cover all the boxes. Therefore, the total surface area of n boxes will be:

n × Surface Area = W.

Substituting the value of the Surface Area, we have:

n × (2lw + 2lh + 2wh) = W

2n(lw + lh + wh) = W

n(lw + lh + wh) = W/2

n = W/2(lw + lh + wh).

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Answer: x = 138

Step-by-step explanation:

\(108+117+x=3 * 121\\3 * 121 = 363\\Rearrange unknown terms to the left side of the equation\\x=(363-108)-117\\\\255-117=138\\x=138\)