Billy’s mom bought pizza for 4 boys. The boys ate 3 pizzas. If each boy ate the same amount, how much did each eat

A positively skewed distribution is due to an extremely large number.

A positively skewed distribution is a type of distribution in which the majority of the data values are clustered towards the left side of the distribution, with a tail extending to the right. This means that there are relatively more smaller values in the dataset than larger values. In a positively skewed distribution, the mean of the dataset is typically larger than the median, and the mode may not be a good representation of the central tendency of the data. This is because the presence of a long tail on the right-hand side of the distribution pulls the mean towards the higher values, while the median remains closer to the center of the dataset. Some common examples of positively skewed distributions include income distributions, where there are a few extremely high earners that skew the data towards the right, and test scores, where there may be a few students who perform extremely well and pull the average higher than the median.

Here,

A positively skewed distribution occurs when the tail of the distribution extends to the right, and the majority of the data is clustered towards the left side of the graph. This means that there are relatively more smaller values in the dataset than larger values. One common cause of positive skewness is the presence of extremely large values, also called outliers, in the dataset. These large values pull the mean of the dataset towards the right, resulting in the tail of the distribution stretching in that direction.

Therefore, out of the options provided, the correct answer is "an extremely large number."

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The actual length of the truck is 15.6 meters and the actual width is 3.24 meters.

The actual length of the truck can be calculated by multiplying the length of the model by the scale factor:

Similarly, the actual width of the truck can be calculated as:

Therefore, the actual length of the truck is 15.6 meters and the actual width is 3.24 meters.

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The Pythagorean Theorem is a fundamental concept that relates to the sides of a right-angled triangle, and it can also be used to understand the relationship between the areas of the squares constructed on the sides of the triangle.

The area of a square is given by the formula A = s², where s is the length of one of its sides. Therefore, the areas of the three squares are:

Area of the square with side a = a²

Area of the square with side b = b²

Area of the square with side c = c²

Now, let's compare the areas of the squares. We can start by subtracting the area of the square with side a from the area of the square with side c:

c² - a²

Using the Pythagorean Theorem, we know that c² = a² + b². Substituting this into the above expression, we get:

c² - a² = (a² + b²) - a² = b²

This tells us that the difference between the area of the square with side c and the area of the square with side a is equal to the area of the square with side b. In other words:

c² - a² = b²

This is known as the Pythagorean identity. It states that in any right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. We can also rearrange this identity to obtain the following:

c² = a² + b²

This is the Pythagorean Theorem that we are familiar with. Therefore, we can conclude that the relationship between the areas of the squares constructed on the sides of a right-angled triangle is given by the Pythagorean identity: the difference between the area of the square on the hypotenuse and the area of the square on the shorter side is equal to the area of the square on the other shorter side.

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The coordinates of the images of vertices L, M, N, and O after reflecting quadrilateral LMNO about the x-axis are: D. L’(2, -5), M’(2, -1), N’(-5, -2), and O’(-6, -4)

When a figure is reflected about the x-axis, the x-coordinates remain the same, but the y-coordinates are negated.

Given the original coordinates of quadrilateral LMNO, which are L(-2, 5), M(-2, -1), N(5, -2), and O(6, -4), we can apply the reflection to find the coordinates of the images.

For the x-axis reflection, the x-coordinates remain the same, so L' and M' will have x-coordinates of 2. For the y-coordinates, we negate the values, so L' will have a y-coordinate of -5, and M' will have a y-coordinate of -1.

Similarly, for N' and O', the x-coordinates will remain the same as the original figure, but the y-coordinates will be negated. Thus, N' will have coordinates (-5, -2), and O' will have coordinates (-6, -4).

Therefore, the correct answer is D, with the coordinates L’(2, -5), M’(2, -1), N’(-5, -2), and O’(-6, -4).

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\(solution \\ - 25 + 4y = 35 \\ or \: 4y = 35 + 25 \\ or \: 4y = 60 \\ or \: y = \frac{60}{4} \\ y = 15\)

Hope it helps...

Good luck on your assignment....

Answer:

\(12\)

Step-by-step explanation:

\((12-x)+ \frac{y}{2}\)

\((12-4)+ \frac{8}{2}\)

\((12-4)+ 4\)

\(8+4\)

\(12\)

Hope this helps!

Answer:12

Step-by-step explanation:

Thank you so much :D

The correct option is B) Not valid. Consider the statement “Since some shoes are sneakers, some non-sneakers are non-shoes.”

We know that all sneakers are shoes, but all shoes are not sneakers.  Hence, some shoes are sneakers. But, this statement does not imply that “some non-sneakers are non-shoes.” This inference cannot be drawn by contraposition. So, it is not valid.Inferences cannot be drawn in contraposition all the time. Contraposition is a type of logical statement that involves reversing and negating the terms of an original proposition. It is a logical relationship between a proposition and its converse. If a proposition is true, the contrapositive is always true.An example of contraposition can be shown as follows:“If a person is a human, then they are mortal.”We can write the contrapositive of this statement as:“If a person is not mortal, then they are not human.”

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f(x) is an even function.

To determine whether a function is even, odd, or neither, we need to check if the function satisfies the following properties:

- Even function: f(-x) = f(x) for all x
- Odd function: f(-x) = -f(x) for all x

If the function satisfies neither of these properties, we say it is neither even nor odd.

65. f(x) = x^2 + 1

We have:

f(-x) = (-x)^2 + 1 = x^2 + 1 = f(x)

Therefore, f(x) is an even function.

67. f(x) = x + 1

We have:

f(-x) = -x + 1

If f(x) is even, then f(-x) = f(x), which is not the case here.

If f(x) is odd, then f(-x) = -f(x), which is also not the case here.

Therefore, f(x) is neither even nor odd.

69. f(x) = 1 + 3x^2 - x^4

We have:

f(-x) = 1 + 3(-x)^2 - (-x)^4 = 1 + 3x^2 - x^4

If f(x) is even, then f(-x) = f(x), which is the case here.

Therefore, f(x) is an even function.
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Answer:

The pizza restaurant put 1/10 of the sauce on each pizza.

Step-by-step explanation:

Take the 3/5, and on a calculator divide the 3 by the 5:

0.6

Then, take the 0.6 and divide it by the 6 pizzas:

0.1, converted into a fraction equals 1/10.

The pizza restaurant put 1/10 of the sauce on each pizza.

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Answer:

x=11

Step-by-step explanation:

Answer:

11.86824cm

Step-by-step explanation:

Answer:

11.86824cm

Step-by-step explanation:

Answer:

8/13

Step-by-step explanation:

I think am not sure...

Answer:

y ≈ 46.2

Step-by-step explanation:

using the law of sines , then

\(\frac{y}{sin85}\) = \(\frac{31}{sin42}\) ( cross- multiply )

y × sin42° = 31 × sin85° ( divide both sides by sin42° )

y = \(\frac{31sin85}{sin42}\) ≈ 46.2 ( to the nearest tenth )

If a driver drives at a constant rate of 32 miles per hour, how long would it take the driver to drive 272 miles? It would take the drive hour(s) to drive 272 miles?​

In this problem

Applying proportion

1 /32=x/272

solve for x

x=272/32

Answer:

1) C

Step-by-step explanation:

Step 1)

First we have to plot ↓

2x ≥ y + 2

And that looks like Image 1

Step 2)

Second we have to plot ↓

2x - 5y ≤ 10

and that looks like Image 2

Answer:

Percent error is approx. 22%

Step-by-step explanation:

So to do this you need to know the formula for percent error, which is

percent error = l measured - theoretical / theoretical l * 100%

With this just plug in 18 (real) and 14 (measured).

percent error = l 14 - 18 / 18 l * 100%

percent error = l -4 / 18 l *100%

percent error = l -2/9 l *100%

You then do absolute value because the percent error must be positive not negative! So -2/9 becomes 2/9. You then divide 2/9 to get approx. 0.22... and you muliply by 100% to get 22%.

Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

\(= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}\)

= 11565 km

Answer:

Wdym

Step-by-step explanation:

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

Answer:

1.6

Step-by-step explanation:

12.8/8 = 1.6

15.2/9.5 = 1.6

Scale factor = 1.6

Answer:

1/2

Step-by-step explanation:

Answer:

$900

Step-by-step explanation:

I am going ahead with the assumption that the interest is calculated as simple interest and not compound interest since nothing has been mentioned on this aspect.

The interest on a principal P at i% interest rate for t years is given by

I = Prt  where r = interest rate as decimal = i/100

Here r = 4/100 = 0.04

t = 4 years

So I = P · 0.04 · 4 = 0.16P

The total amount at the end of 4 years will be this interest added to the sum so it will be

P + 0.16P = P(1+0.16) = P · 1.16 or 1.16P

We are told that at the end of 4 years the amount becomes 1044

So we equate the terms
1.16P = 1044

P = 1044/1.16 = 900

So the answer is $900  ANSWER

Check

I = 900 x 0.04 x 4 = 144

900 + 144 = 1044

A random number generated from this density using the given us value of 0.127 is approximately 1.068.

To generate a random number from this density using the given us value, we first need to calculate the cumulative distribution function (CDF):

F(x) = ∫(0 to x) f(t) dt
    = ∫(0 to x) (2/9)t dt
    = (1/9) x^2

Next, we set the CDF equal to the given us value and solve for x:

us = F(x) = (1/9) x^2
0.127 = (1/9) x^2
x^2 = 1.139
x = sqrt(1.139) ≈ 1.068

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Answer:

I really don't know , I am in 7th grade

Answer:

x = 121°

Step-by-step explanation:

The lower left vertex and 115 are adjacent and supplementary, thus

left vertex = 180° - 115° = 65°

The angle round a point = 360°, so the top vertex is

360° - 304° = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 65° + 56° = 121°

Answer:

86, 65

Step-by-step explanation:

Quotient is 86

Remainder is 65

Answer:

m is slope = (9/6)

b isy-intercept = -2

Step-by-step explanation:

I will assume that "the value of ?" is meant to read "the value of m?."

The slope-intercept form of a line is y = mx + b, where m is the slope of b is the y-intercept (the value of y when x = 0).

We can caluclate slope from the two given points.  Slope is the "Rise/Run" of a line.  [The change in y for a change in x].

The two points (-2,-5) and (4,4) can be uysed to calculate the slope.

Rise is the change in y:  (4 - (-5)) = 9  [the value of y increased by 9].

Run is the change in x:  (4 - (-2)) = 6  [x increased by 6].

Slope is the Rise/Run:  (9/6)

This tells us that the rate of change between these points is (9/6).   Every change in 6 x units will creat a change of + 9 y units.  

The equation for the line connecting these 2 points becomes:

y = (9/6)x + b

In the even the question is looking for the value of b, we can calculate b by entering one of the two points in the equation above:

y = (9/6)x + b

y = (9/6)x + b  [for (4,4)]

4 = (9/6)*4 + b

4 = 6 + b

b = -2

The equation connecting thses 2 points is y = (9/6)x - 2

See attached graph

The eigenvalues of A^4 are approximately:

λ₁^4 ≈ 1762.13, λ₂^4 ≈ 455.82, λ₃^4 ≈ 0.4322

(a) To find the eigenvalues of matrix A, we need to solve the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix.

The matrix A is given as:

A = [3 0 0 0; 0 -1 0 0; 0 7 5 0; 0 5 11 -2]

Substituting A into the characteristic equation, we get:

det(A - λI) = 0

⎡

⎢

⎢

⎢

⎣

3-λ 0 0 0

0 -1-λ 0 0

0 7 5-λ 0

0 5 11 -2-λ

⎤

⎥

⎥

⎥

⎦

= (3-λ)[(-1-λ)((5-λ)(-2-λ) - (11)(5)) - (11)((7)(-2-λ) - (5)(0))] - (0)[(0)((5-λ)(-2-λ) - (11)(5)) - (11)((0)(-2-λ) - (5)(0))]

Simplifying the determinant, we find:

(3-λ)(λ³ + λ² - 27λ - 65) = 0

Now, we solve the equation (λ³ + λ² - 27λ - 65) = 0 to find the eigenvalues:

Using numerical methods or factoring techniques, we find that the eigenvalues are approximately:

λ₁ ≈ -7.5152, λ₂ ≈ 4.7576, λ₃ ≈ 0.7576

Therefore, the eigenvalues of matrix A are λ₁ ≈ -7.5152, λ₂ ≈ 4.7576, and λ₃ ≈ 0.7576.

(b) If matrix A is nonsingular, it means it is invertible. In that case, the eigenvalues of the inverse matrix A^(-1) are the reciprocals of the eigenvalues of matrix A.

So, if A is nonsingular, the eigenvalues of A^(-1) are:

λ₁^(-1) ≈ -0.1330, λ₂^(-1) ≈ 0.2103, λ₃^(-1) ≈ 1.3194

(c) To find the eigenvalues of A^4, we can raise the eigenvalues of A to the power of 4.

The eigenvalues of A^4 are:

λ₁^4 ≈ (-7.5152)^4, λ₂^4 ≈ (4.7576)^4, λ₃^4 ≈ (0.7576)^4

Therefore, the eigenvalues of A^4 are approximately:

λ₁^4 ≈ 1762.13, λ₂^4 ≈ 455.82, λ₃^4 ≈ 0.4322

Please note that the values of the eigenvalues are approximations based on the given calculations.

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A person of interest has been identified by the police, the appropriate location of the person of interest is D(5, -4). Therefore, option D is the correct answer.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let (x, y) be the coordinates of the person of interest. Then, we can set up three equations based on the distances between the person and the three known locations:

√((x-(-2))²+(y-9.9)²)=6

√((x-(-8))²+(-(-4.7))²)=10

√((x -(-12))²+(y-4)²)=9

Squaring both sides of each equation and simplifying, we get:

(x+2)²+(y-9.9)²=36

(x+8)²+(y+4.7)²=100

(x+12)²+(y-4)²=81

Expanding the squared terms and simplifying, we get a system of three linear equations in two variables:

x²+4x+y²-19.8y=4

x²+16x+y²+9.4y=52.59

x²+24x+y²-8y=21

We can solve this system of equations to find the values of x and y that satisfy all three equations.

y = (-11.94 + 6x)/19.8

Substituting this expression for y into the first equation, we get a quadratic equation in x:

x²+4x+((-11.94+6x)/19.8)²-19.8((-11.94+6x)/19.8)-4=0

Simplifying and solving for x, we get:

x=-0.217 or x=5.184

Substituting these values of x into the expression for y, we get:

y=1.283 or y=-3.772

So, x=5 and y=-4

Therefore, option D is the correct answer.

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Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer: 90%

Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.

So to write 9/10 as a percent, we need to find a fraction

equivalent to 9/10 that has a 100 in the denominator.

We can do this by setting up a proportion.

So we have \(\frac{9}{10} = \frac{n}{100}\).

Now, we can use cross-products to find the missing value.

So we have (9)(100) which is 900 is equal to (10)(n) or 10n.

So we have 900 = 10n.

Next, dividing both sides of the equation by 10, we have 90 = n.

So, 9/10 is equal to 90/100 or 90%.

Answer:

90%

Step-by-step explanation:

9/10 times 100 is 90%

I also got it right in Khan. Good luck! Have a nice day :)