Which are the better statistics to use to compare the distributions? Assume
you know the mean, median, standard deviation, and IQR for each.

9514 1404 393

Answer:

Step-by-step explanation:

These problems let you make use of the fact that the sum of the remote interior angles is equal to the exterior angle.

__

1. 53° +86° = ∠1

  139° = ∠1

__

2. ∠2 +92° = 133°

  ∠2 = 133° -92°

  ∠2 = 41°

__

3. (x +9)° +93° = (4x+15)°

  87 = 3x . . . . . . . . . . . . . . . . subtract x+15°

  29 = x . . . . . . . divide by 3

The exterior angle is ...

  (4x +15)° = (4·29 +15)° = 131° . . . exterior angle

Answer:

Step-by-step explanation:

A:B:C = 2:3:5

and B = 4.20

which 3x = 4.20

x = 1.4

A = 2 x 1.4

  = 2.8

C = 5 x 1.4

  = 7

A = 1.4, C = 7

Answer:

4-8=-2

2x+2=8

Step-by-step explanation:

..............................................................................

The given function is y = 2x³ + 3x² + 12x + 9. We need to find the points on the curve where the tangent line is horizontal.We need to find the derivative of y and then equate it to zero to find the critical points. This is because the slope of the tangent line is zero at a point of maximum, minimum or inflection point. We get

\(dy/dx = 6x² + 6x + 12\)

Now equate it to zero to find the critical points.

\(6x² + 6x + 12 = 0\)

Divide both sides by\(6x² + 6x + 12 = 06(x² + x + 2) = 0\)

Using the quadratic formula, the roots of this equation are:

\($$x = \frac{{ - 1 \pm \sqrt { - 23} }}{2}$$\)

Since we cannot have a negative square root, the equation does not have any real roots. Therefore, there are no critical points. This means that the curve does not have a maximum or minimum and that the slope of the tangent line never equals zero. Therefore, the curve has no horizontal tangent lines.The curve

\(y = 2x³ + 3x² + 12x + 9\)

does not have any horizontal tangent lines. Therefore, there are no points on the curve where the tangent line is horizontal.

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Step-by-step explanation:

2x+4 +3x = 2x +2 +1

4+x= 2x+3

4-3=2x-x

1=x

x=1

The expression for division that gives a result of 26 is E = 52/2.

We need to find an expression. The expression must represent the division operation. The division is an arithmetic operation. The result of the division must be equal to 26. Let the expression be represented by the variable "E". The variable should be in the form of a rational number.

E = y/x

26 = y/x

y = 26x

We have to find one set of values for the variables that satisfy the above equation. Let us assume that the value of x is 2. Then the value of y is calculated below.

y = 26*2

y = 52

So, the values of the numerator and the denominator are 52 and 2, respectively.

Hence, the expression is 52/2.

The complete question is given below.

Write an expression for a division that gives a result of 26.

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Answer:

4.5

Step-by-step explanation:

one decameter is equal to 1000 centimeters 4500/100= 4.5

Answer:-8

Step-by-step explanation:hope it helps, brainliest? i could really use it

Answer: 5,998,000

Step-by-step explanation:

2x10^3= 2,000

6x10^6= 6,000,000

In translation, Use 1 x The Initial SIG FIGS, or first numbers. 10x10 is 100, and notice how 10 and 10 have 2 zeros, so 1x1 = 1 +00 is a way to construct the number.

In this case, the 10^x, the x can represent the number of zeros after our first value.

So, 6 + six zeros, or 6,000,000

and, 2 + 3 zeros, or 2,000

To find the difference, subtract the numbers from eachother and extract the absolute value, (meaning the final answer won't be negative).

So, 6,000,000 - 2,000 = 5,998,000, which is the answer to the prompt!

Hope this Helped!

The residual value will be equal to -1.

A residual is a difference between the observed y-value of a data point and the predicted y-value on a regression line for the x-coordinate of the data point. A residual is positive when the point is above the line, negative when it is below the line, and zero when the observed y-value equals the predicted y-value.

Take, for instance, we have the following data entry:

Observed value = 69.4

Predicted value = 70.4

The residual (r) would be:

Residual value = 69.4 - 70.4 = -1

Therefore the residual value will be -1

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Answer:

0.75

3/4

75%

Step-by-step explanation:

3 different ways you can express one number is:

precentage

decimal

fraction

Within his budget, he can still purchase 6 tickets. The inequality is 40 < 5x + 10.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

In light of the query

With his $40, Jamal may get tickets for himself, his friends, and a show.

If he spends $10 to join a membership,

Money remaining = $40 - $10 = $30

Now he may purchase the ticket at $5 apiece.

Now, tickets that he may purchase while staying within his budget found using utilizing the unitary technique.

Tickets= $30 / $5

Tickets = 6

As a result, he may purchase the remaining 6 tickets for his budget.

A:

Number of tickets = x

Hence, the inequality is 40 < 5x + 10.

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Answer:

this angle is 90°.

5x°+55°=90°

5x=90°-55°

5x=35°

x=35/5

x=7

k=0: (60)(3x)6−0(−4y)0=6!(6−0)!0!(3x)6−0(−4y)0=729x6

k=1: (61)(3x)6−1(−4y)1=6!(6−1)!1!(3x)6−1(−4y)1=−5832x5y

k=2: (62)(3x)6−2(−4y)2=6!(6−2)!2!(3x)6−2(−4y)2=19440x4y2

k=3: (63)(3x)6−3(−4y)3=6!(6−3)!3!(3x)6−3(−4y)3=−34560x3y3

k=4: (64)(3x)6−4(−4y)4=6!(6−4)!4!(3x)6−4(−4y)4=34560x2y4

k=5: (65)(3x)6−5(−4y)5=6!(6−5)!5!(3x)6−5(−4y)5=−18432xy5

k=6: (66)(3x)6−6(−4y)6=6!(6−6)!6!(3x)6−6(−4y)6=4096y6

Thus, (3x−4y)6=729x6−5832x5y+19440x4y2−34560x3y3+34560x2y4−18432xy5+4096y6.

ANSWER  

(3x−4y)6=729x6−5832x5y+19440x4y2−34560x3y3+34560x2y4−18432xy5+4096y6A

By using the concept of probability, it can be determined that there are approximately 400 red marbles in the bag.

To determine the number of red marbles in the bag without counting them, we can utilize the concept of probability. The probability of drawing a red marble from the bag can be calculated by dividing the number of red marbles by the total number of marbles in the bag. In this case, there are 400 red marbles and 1100 total marbles, resulting in a probability of 400/1100.

Since the probability is a ratio, we can use it to estimate the number of red marbles in the bag. Multiplying the probability by the total number of marbles in the bag gives us an estimate of the number of red marbles. Therefore, by multiplying (400/1100) by 1100, we find that there are approximately 400 red marbles in the bag.

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Answer:

\(f'(x)= \frac{13}{(2x+3)^2}\\\)

Step-by-step explanation:

\(f(x)= \frac{3x-2}{2x+3} \\\)

\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)

\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)

A hypothesis is an educated guess or tentative explanation for a phenomenon that can be tested through scientific investigation. It is a prediction or statement that proposes a relationship between two or more variables and can be tested through empirical evidence.

A hypothesis is an essential component of the scientific method as it provides a framework for designing experiments, collecting data, and analyzing results. The aim of testing a hypothesis is to either accept or reject it based on the available evidence. In this way, hypotheses help advance scientific knowledge and understanding.

A testable statement about the relationship between variables is called a

hypothesis .

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The approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2 is approximately 0.7011 or 70.11%.

To find the approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2, we can use the properties of the normal distribution.

Given:

Mean (μ) = 8

Standard deviation (σ) = 0.3

We need to find the probability of the pH measurement falling between 7.5 and 8.2. Let's denote this as P(7.5 < X < 8.2), where X represents the pH measurement.

To calculate this probability, we can standardize the values using the z-score formula:

z1 = (7.5 - 8) / 0.3

z2 = (8.2 - 8) / 0.3

Calculating the z-scores:

z1 ≈ -1.67

z2 ≈ 0.67

Now, we can look up the z-scores in the standard normal distribution table or use a calculator to find the corresponding probabilities.

Using a standard normal distribution table or calculator, we can find:

P(Z < z1) ≈ P(Z < -1.67) ≈ 0.0475 (approximately)

P(Z < z2) ≈ P(Z < 0.67) ≈ 0.7486 (approximately)

To find the probability between 7.5 and 8.2, we subtract the lower probability from the upper probability:

P(7.5 < X < 8.2) ≈ P(Z < z2) - P(Z < z1)

≈ 0.7486 - 0.0475

≈ 0.7011

Therefore, the approximate probability that the pH measurement of a randomly selected water specimen is between 7.5 and 8.2 is approximately 0.7011 or 70.11%.

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Answer:

5.8 meters

Step-by-step explanation:

The formula to calculate this is given as:

Height/ Shadow

Shadow of the pole = 25.5 m

Height of the pole = x m

Tim's shadow = Height of the pole - Tim's distance

25.5 m - 15.4 m = 10.1 m

Tim's height = 2.3 m

Hence:

x/25.5 = 2.3/10.1

Cross Multiply

10.1x = 25.5 × 2.3

x = 25.5 × 2.3/10.1

x = 5.8069306931 m

Approximately = 5.8m

Hence, the height of the flagpole = 5.8m

Answer:

n=3

Step-by-step explanation:

12n-3n=30-3

9n=27

n=27/9

n=3

The 2 expressions are equivalent, if they gave the same simplest from

Let us simplify each one, then see if they are equal or not

Multiply -0.5 by each term in the

Answer:

P(Y) = 2/10 = 1/5

Step-by-step explanation:

From the above question:

Total number of marbles = 10 marbles

Number of yellow marbles = 2 yellow marbles

Number of blue marbles = 4 blue marbles

Number of red marbles = 4 red marbles.

The probability of choosing a marble that is yellow is calculated as:

= P(Y) = Number of yellow marbles/Total number of marbles

P(Y) = 2/10

P(Y) = 1/5

Answer:

6/5

Step-by-step explanation:

2/5*3=2/5*3/1=6/5

Answer:

\(\frac{6}{5}\) or \(1\frac{1}{5}\)

Step-by-step explanation:

\(\frac{2}{5} *3\)

3 can be rewritten as 3/1

\(=\frac{2}{5}*\frac{3}{1}\)

Multiply the numerators and denominators

\(2*3=6\\5*1=5\)

\(= \frac{6}{5}\)

You can also change this into a mixed number by dividing the numerator by the denominator and writing the remainder as the numerator:

\(= 1\frac{1}{5}\)

I hope this helps!

Answer:

Step-by-step explanation:

The correct answer is e. all of the other answers.

When using a series of squares that are exactly the same shape, implied depth can be achieved through various techniques, including:

a. Alternating value: By varying the value (lightness or darkness) of the squares, you can create the illusion of depth. Darker squares can appear closer, while lighter squares can appear farther away.

b. Relative size: By changing the size of the squares, you can create a sense of depth. Larger squares can appear closer, while smaller squares can appear farther away.

c. Overlapping: By overlapping the squares, you can create the illusion of depth. Squares that are partially covered by other squares can appear farther away.

d. Relative position: By placing the squares in different positions, you can create a sense of depth. Squares that are higher or lower in the composition can appear closer or farther away, respectively.

By combining these techniques, artists can create a convincing illusion of depth in a two-dimensional artwork using a series of squares,

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Answer:

x=130

Step-by-step explanation:

as vertically opposite angles are equal therefore,

133=X+3

x=133-3= 130

I hope it helps