In a class of students, the following data table summarizes how many students have
cat or a dog. What is the probability that a student chosen randomly from the class
does not have a cat or a dog?
Has a dog
Does not have a dog
Has a cat Does not have a cat
7
4
6
12

Answer:

6

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Answer:

6

Step-by-step explanation:

72 ÷ 12 =6

Have a nice dayyy

Answer:

Step-by-step explanation:

DEF is similar to CBA

because angle

angle C = angle D

angle B = angle E

angle A = angle F

The ratio is

10.8/5.4 = 9/4.5 = 6.4/3.2 = 2

Answer:

y = 4/3x + 4

Step-by-step explanation:

The y intercept is 4. So if we look the 2 points are (-3,0) and (0,4)

So the run is 3 and rise 4

so 4/3 is the slope

Over the first 40 s, the object had an acceleration a such that

90 m/s = a (40 s)   →   a = (90 m/s) / (40 s) = 2.25 m/s²

um is the end a 3 and 2 or 32 or 3*2?

Answer:

the answer to your question is 48

The augmented matrix corresponding to the system of equations in this problem is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

The first row is constructed according to the coefficients of the first equation, hence it is given as follows:

[-6 -5 -4 7].

The second row is constructed according to the coefficients of the second equation, hence it is given as follows:

[7 -9 -1 -7].

The third row is constructed according to the coefficients of the third equation, hence it is given as follows:

[-9 -3 -6 7].

Hence the matrix is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

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Answer:

-21

Step-by-step explanation:

-3a + 5b - c

-3(2)+5(-1)-(10)=-21

To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

300°

Step-by-step explanation:

To convert from radians to degrees

degree = radian × \(\frac{180}{\pi }\) , then

degree = \(\frac{5\pi }{3}\) × \(\frac{180}{\pi }\) ( cancel π on numerator/ denominator )

            = \(\frac{5(180)}{3}\)

            = 5 × 60°

            = 300°

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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Answer:

5,4

Step-by-step explanation:

When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.

When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.

It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.

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Answer:

Around 2 miles

Step-by-step explanation:

Given that the speed of light in this problem travels at 1088 feet per second, with a mile being 5280 feet. If Snoopy heard the sound of thunder 10 seconds later, then snoopy is 10880 feet away or 10880/5280 = 2.0606... ≈ 2 miles.

This is done using the formula for speed which is. s = d/t ; speed = distance divided by time.

To find the distance, rearrange the formula by multiplying time on each side so that we are solving for distance.

s = d/t

×t ×t

(cancels the denominator of t in d/t)

s × t = d / t × t

st = d

(symmetric property of equality)

d = st ; distance = speed × time.

now that we have this formula, just multiply the speed of light, and the time it took for Snoopy to hear the thunder.

Distance = 1088ft/s × 10s = 1088ft × 10 (seconds cancel) = 10880ft.

The final step to finding the milage is converting this measurement of feet into miles by dividing by 5280 as stated in the problem.

So 10880ft/5280ft = 2 R(remainder) 320 ft = 2 + 320 / 5280 = 2 + 6/99 = 2 + 0.0606... = 2.0606... ≈ 2

Answer:

12 + x --> 18

3x + y --> 23

4y - 10 --> 10

(1)/(2)xy --> (1)/(60)

Step-by-step explanation:

Let's evaluate each expression with the given values of x=6 and y=5:

Expression: 12 + x

Substituting x=6 into the expression, we get: 12 + 6 = 18

Expression: 3x + y

Substituting x=6 and y=5 into the expression, we get: 3(6) + 5 = 18 + 5 = 23

Expression: 4y - 10

Substituting y=5 into the expression, we get: 4(5) - 10 = 20 - 10 = 10

Expression: (1)/(2)xy

Substituting x=6 and y=5 into the expression, we get: (1)/(2)(6)(5) = (1)/(2)(30) = (1)/(60)

Answer:

\(f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25\)

Answer:

25

Step-by-step explanation:

Our "best" case is when \(f'(x) = 3\) everywhere - if it changes it means \(f(x)\) will grow faster. But if \(f'(x)\) is constant, it means \(f(x)\) is the straight line \( y-10 = 3 (x-1) \(, which passes through the point (6, 25)

Answer:

\(m = \frac{y2 - y1}{x2 - x1} \\ = \frac{ - 3 - 5y}{6 - (x + 2)} \\ = \frac{ - 3 - 5y}{6 - x - 2} \\ m = \frac{ - 3 - 5y}{4 - x} \)

All thre functions share the same y intercept

We can analyze the characteristics of the given functions based on the information provided in the table.

We cannot determine which function has the greatest maximum based on the table alone, as we do not have the complete graph of any of the functions.

We can see from the table that h(x) has an x-intercept of 0, which is the smallest among the three functions. Therefore, we can say that h(x) has the smallest x-intercept.

We can see from the table that g(x) has a minimum value of -204, which is the smallest among the three functions. Therefore, we can say that g(x) has the smallest minimum value.

We cannot determine if all three functions share the same domain based on the table alone. We can only see that all three functions have been evaluated at the same set of input values.

We can see from the table that the y-intercept of f(x) is 2, the y-intercept of g(x) is 3, and the y-intercept of h(x) is 4. Therefore, we can say that all three functions have different y-intercepts.

Therefore, the statements that can be used to compare the characteristics of the functions are:

h(x) has the smallest x-intercept.

g(x) has the smallest minimum value.

All three functions have different y-intercepts.

The volume of the rectangular prism is 4.84 cm cube.

A rectangular prism is filled exactly with 605 cubes. Each cube has edge

length 1 / 5 cm. Therefore, the volume of the rectangular prism can be

calculated as follows:

volume of each cube = l³

volume of each cube = (1 / 5)³

volume of each cube = 1 / 125 cm³

Therefore,

volume of the rectangular prism = 605 × 1 / 125

volume of the rectangular prism = 605 / 125

volume of the rectangular prism = 4.84 cm³

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Question One:A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two: , the raw score is relatively lower than the mean.

If a raw score corresponds to a z-score of 1.75, it tells us that the raw score is 1.75 standard deviations above the mean of the distribution. In other words, the raw score is relatively higher than the mean. The z-score provides a standardized measure of how many standard deviations a particular value is from the mean.

A positive z-score indicates that the raw score is above the mean, while a negative z-score indicates that the raw score is below the mean.

Question Two:

If a raw score corresponds to a z-score of -0.85, it tells us that the raw score is 0.85 standard deviations below the mean of the distribution. In other words, the raw score is relatively lower than the mean. The negative sign indicates that the raw score is below the mean.

To understand the meaning of a z-score, it is helpful to consider the concept of standard deviation. The standard deviation measures the average amount of variability or spread in a distribution. A z-score allows us to compare individual data points to the mean in terms of standard deviations.

In the case of a z-score of -0.85, we can conclude that the raw score is located below the mean and is relatively lower compared to the rest of the distribution. The negative z-score indicates that the raw score is below the mean and is within the lower portion of the distribution. This suggests that the raw score is relatively smaller or less than the average value in the distribution.

By using z-scores, we can standardize and compare values across different distributions, allowing us to understand the position of a raw score relative to the mean and the overall distribution.

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Answer:

its pi equals 21 bruh moment squared.

Step-by-step explanation:

The addition of the given fraction expression is 7/8.

In mathematics, an expression is a combination of numbers, symbols, and/or operators that represents a mathematical quantity or relationship. It can be a simple combination of numbers or a more complex combination involving variables, functions, or other mathematical constructs.

When adding fractions with the same denominator, you simply add the numerators and keep the denominator the same.

In this case, both fractions have a denominator of 8, so we can add their numerators:

5/8 + 2/8 = (5 + 2)/8 = 7/8

Thus, the sum of 5/8 and 2/8 is 7/8.

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For a line to be parallel to another line, the slope will be the same

1st equation:

Since the slope of the first line = 2/5, the slope of the second line will also be 2/5

We would insert the slope and the given point into equation of line to get y-intercept of the second line:

The equation for the line that passes through (-7, 6) and parallel to line 2x - 5y - 8 = 0:

we have the following:

speed 8 miles every 6 minutes:

therefore, the speed is 1.34 mi/m, now to complete it would be:

therefore, the answer is:

Time (minutes) Distance (miles)

3 4

15 20

60 80

\( \leadsto \sf {k}^{ - \frac{1}{6} } \)

\( \\ \)

\( \leadsto \sf \dfrac{1}{{k}^{ - \frac{1}{6} }} \)

\( \\ \\ \)

\( \leadsto \sf \dfrac{1}{ \sqrt[6]{k} } \)

Answer:

(k^-1)^1/6

\(\sqrt[6]{k ^-1}\)  

Step-by-step explanation:

for second one -1 is coefficient sry can't format it

Using the mean value theorem in  f(x) = 1/2x² + 7, c =  2√3

The mean value theorem states that let f be continuous over the closed interval  [a,b] and differentiable over the open interval  (a,b). Then, there exists at least one point c ∈(a,b) such that f'(c) = [f(b) - f(a)]/(b - a)

To find c using the mean value theoren for f(x) = 1/2x² + 7 over the interval [0, 6], we proceed as follows.

Uisng the mean value theorem, we know that

f'(c) = [f(b) - f(a)]/(b - a)

⇒ f(c) = 1/(b - a)∫ₐᵇ[f(x)

Now over the interval [a, b] = [0,6]

f(c) = 1/(6 - 0)∫₀⁶[f(x)

Now, since f(x) = 1/2x² + 7

Substituting this into the equation, we have that

f(c) = 1/(6 - 0)∫₀⁶[f(x)

f(c) = 1/(6 - 0)∫₀⁶(1/2x² + 7)

f(c) = 1/6∫₀⁶(1/2x² + ∫₀⁶7)

f(c) = 1/6[1/2x³/3 + 7x]₀⁶

f(c) = 1/6[x³/6 + 7x]₀⁶

f(c) = 1/6[6³/6 + 7(6)] - [0³/6 + 7(0)]

f(c) = 1/6[6²+ 42] - [0 + 7(0)]

f(c) = 1/6([36 + 42] - [0 + 0])

f(c) = 1/6(78 - 0)

f(c) = 1/6(78)

f(c) = 13

Now, since f(x) = 1/2x² + 7

f(c) = 1/2c² + 7

1/2c² + 7 = 13

1/2c² = 13 - 7

1/2c² = 6

c² = 2 × 6

c² = 12

c = √12

c = 2√3

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Answer:

56 ---> m< DAB

4 ---> length of line BC

44 ---> value of y

2 ---> value of x

Step-by-step explanation: edmentum test answer

The length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Parallelogram ABCD

From the figure:

6 - x = x + 2

2x = 4

x = 2

Length of BC = 6 - x = 6 - 2 = 4 units

12 + y = 100 - y

y = 44

Angle DAB = 100 - 44 = 56 degrees

The value of x = 2

Thus, the length of BC is 4 units, the value of y is 44, a measure of the angle DAB is 56 degrees, and the value of x is 2.

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The factoring of the quadratic function as a product of two binomials is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

The quadratic function for this problem is given as follows:

x² + 10x + 24.

To factor the quadratic function as a product of the two binomials, we must obtain it's roots, that is, solve:

x² + 10x + 24 = 0.

The coefficients of the quadratic function are given as follows:

a = 1, b = 10, c = 24.

Hence the discriminant is of:

D = 10² - 4 x 1 x 24 = 4.

The first root of the quadratic function is given as follows:

x = (-10 - square root of (4))/2 = -6.

The second root of the quadratic function is given as follows:

x = (-10 + square root of (4))/2 = -4.

Hence, using the Factor Theorem, the binomial product is given as follows:

x² + 10x + 24 = (x + 6)(x + 4).

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9514 1404 393

Answer:

  5.6 miles

Step-by-step explanation:

Let the following distances between exits be defined:

  a = exit 5 to 6

  b = exit 6 to 7

  c = exit 7 to 8

Then the given relations are ...

  a = 3.2

  b = 1.1 +a = 4.3

  (b +c) = 2.4 +(a +b)   ⇒   c = a +2.4 = 5.6

The distance between exits 7 and 8 is 5.6 miles.