Which expression is equivalent to 12^-6 x 12^-1?

The Median and IQR are most appropriate to describe the measures of center and variability of distribution. The histogram depicts the distribution of time is positively skewed. So, option(b) is right one.

We have a graph present in above figure, which showes the amount of time in hours spent on homework per week for a sample of students. We have to select correct measures of center and variability. The graph is a histogram. From the graph we can see that the data is positively skewed. Now for skewed distribution we prefer median over mean as mean is more sensitive to the outliers. As the data(time) is in ratio scale we can use any of the measures of dispersion; but for skewed distribution IQR is preferred because of its robustness. In a word both median and IQR can handle outliers. Thus the appropriate answer is Median and IQR, option (c).

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Complete question :

The above figure complete the question

the graph below displays the amount of time to the nearest hour spent on homework per week for a sample of students. which measures of center and variability would be most appropriate to describe the given distribution? group of answer choices

a) mean and standard deviation

b) mean and iqr

c) median and standard deviation

d) median and iqr

e) median and range

Answer:

-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5.  Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.

Step-by-step explanation:

Answer:

5.

Step-by-step explanation:

The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.

Hope this helps!

The domain which is the most appropriate for a function that represents the number of items, placed into a laundry basket each day is Whole numbers.

Although laundry cannot go negative in the real world, integers may. so no

Whole numbers are ideal because they are positive and don't include any laundry. so yep

Even if that isn't feasible, rational and irrational have decimal values that state that laundry can only be a certain percentage.

Whole numbers are defined as natural numbers plus zero (0). We are aware that the term "natural numbers" refers to a group of counting numbers beginning with 1, 2, 3, 4, and so forth.

Whole numbers are a collection of numbers that don't contain any fractions, decimals, or even negative integers. It is made up of zero and positive integers.

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Complete question:

Which domain is most appropriate for a function that represents

the number of items, f(x), placed into a laundry basket each day, x,

for the month of January?

(1) integers

(2) whole numbers

(3) rational numbers

(4) irrational numbers

The majority of the data will lie between 73 and 97 in this dataset.

To determine where a majority of the data lies in a given dataset with a mean of 85 and a standard deviation of 12, we can make use of the empirical rule, also known as the 68-95-99.7 rule.

According to the empirical rule:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

Using this information, we can estimate the range in which a majority of the data will lie.

For the given dataset with a mean of 85 and a standard deviation of 12:

Within one standard deviation of the mean (85 ± 12), we can expect approximately 68% of the data to be distributed. So, the majority of the data will fall between (85 - 12) and (85 + 12), which is between 73 and 97.

Therefore, the majority of the data will lie between 73 and 97 in this dataset.

It's important to note that the empirical rule provides a rough estimate based on the assumption that the data follows a normal distribution. In practice, the distribution of the data may deviate from a perfect normal distribution, and the exact distribution should be considered for a more accurate analysis.

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Answer:

LCM = 2380

GCD = 1

Step-by-step explanation:

I think it's those and I don't think there is a GCD so the only explanation is 1.

Answer:

[See Below]

Step-by-step explanation:

✦ Solve:

  ✧ -2.6 + 5.8 = 3.2

✦ Sometimes in math simplify could mean just solve and get the smallest version of that number. That's what it means in this case. So the simplified version would be 3.2.

~Hope this helps Mate. Feel free to message me if you need anything.

Creation

There is no other way

Answer:

8

Step-by-step explanation:

pls mark me brainliest

-5(x²-6x+9)+45-9

-5(x-3)²+36

Standard form

y= a(x-p)²+q

a=-5,p= 3 and q=36

axis of symmetry :x= p

=>x= 3

Hope it helps you...

Subsets 1 and 3 are subspaces, while subsets 2 and 4 are not.

To determine which subsets are subspaces, we need to check if they satisfy the three conditions of being a subspace:

closure under addition, closure under scalar multiplication, and containing the zero vector. Let's evaluate each subset:

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero vector (0, 0, 0). Therefore, it is a subspace of ℝ³.

  This subset is not a subspace. While it satisfies closure under addition, it fails to satisfy closure under scalar multiplication. If we multiply a polynomial with a non-zero term by zero, the result will not have a non-zero term. Therefore, it does not contain the zero vector, violating the subspace condition.

  This subset is a subspace. It satisfies closure under addition, closure under scalar multiplication, and contains the zero matrix [0, 0; 0, 0]. Hence, it is a subspace of the space of 2x2 matrices.

  This subset is not a subspace. It fails to satisfy closure under scalar multiplication.

If we scale a vector whose endpoint lies on the line y = 2x by a non-zero scalar, the endpoint will no longer lie on the line y = 2x.

Thus, it does not contain the zero vector, violating the subspace condition.

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Answer:

x=12

Step-by-step explanation:

turn into and equation because angles in a triangle add up to 180°

so

6x-19+3x+7+84=180

collect like terms

9x+72=180

solve to find 'x'

9x=108

x=12

Answer:

what can i help u with

Step-by-step explanation:

No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value

Yes; two domain values exist for range

yes; only one range value exists for each domain.

The answer is (8,8).

the answer is 39 because you need to divide.

The point on the curve y=tanh(x) at which the tangent has slope 16/25 is approximately (1.075, 0.789).

To find this point, we start by taking the derivative of y=tanh(x) to get y' = sech^2(x). We then set sech^2(x) equal to 16/25 and solve for x to get x = arccosh(sqrt(9/16)). This gives us the x-coordinate of the point on the curve where the tangent has slope 16/25. To find the corresponding y-coordinate, we evaluate y = tanh(arccosh(sqrt(9/16))) to get approximately 0.789. Therefore, the point on the curve where the tangent has slope 16/25 is approximately (1.075, 0.789).

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If every matchbox contains no more than 20% defective matches, then at least 80% of the matches in a box must be intact. The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

To find the minimum number of intact matches in a 43-match box, we need to multiply 43 by 80% (or 0.8):
43 x 0.8 = 34.4
Since we can't have a fraction of a match, we round down to the nearest whole number. Therefore, the minimum number of intact matches in a 43-match box manufactured by that factory is 34.
In a 43-match box manufactured by that factory, no more than 20% of the matches can be defective. To find the minimum number of intact matches, we can calculate the number of defective matches and subtract it from the total.
20% of 43 matches = (20/100) * 43 = 8.6
Since there can't be a fraction of a match, we round up to the nearest whole number, which is 9 defective matches. Now, subtract the number of defective matches from the total:
43 matches - 9 defective matches = 34 intact matches
The minimum number of intact matches in a 43-match box manufactured by that factory is 34.

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Answer:

We should invest in 7.74% compounded daily as it yields a higher return.

The total investment after 10 years is $10,841.22.

Step-by-step explanation:

a.) at 7.74% compounded daily

\(final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235\)

I assumed there are 365 days in a year.

b.) at 7.8% compounded quarterly

\(final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505\)

Answer:

4.2 inches when rounded

Step-by-step explanation:

volume = pi(r²)h

155.09088in³ = pi(r²)2.8

÷2.8 ÷2.8

55.3896 =pi(r²)

÷pi ÷pi

17.6310572718 = (r²)

Then you have to square root both sides (I tried to use the radical symbol but it didnt work, sorry :( )

After you square root it you should get

4.1989352545 = r

Answer:

4.2 inches(rounded)

Step-by-step explanation:

Hope im right :)

The probability of selecting a white bead, replacing it, and then selecting a red bead is 0.15 and this is an independent event.

To fill in the blanks:

1)The probability of selecting a white bead, replacing it, and then selecting a red bead is:

P(white, then red) = P(white) * P(red | white) = (3/10) * (5/10) = 0.15

Here, P(white) is the probability of selecting a white bead on the first draw, which is 3/10

And P(red | white) is the probability of selecting a red bead on the second draw, given that a white bead was selected on the first draw.

Since the first bead is replaced before the second draw, the probability of selecting a red bead on the second draw is still 5/10.

2)This is an independent event.

This is because the first draw does not affect the probability of the second draw, since the bead is replaced.

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Answer: 894

Step-by-step explanation:

Answer:x = 1.2

Step-by-step explanation:

Answer:

\({\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}\)

\(6x + 1 = x - 5 \\ 6x - x = - 5 - 1 \\ 5x = - 6 \\ x = \frac{ - 6}{5} \\ x = - 1.2\)

Answer:

15

Step-by-step explanation:

PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.

The formula is (O + 4M + P) ÷ 6

Where P is the most pessimistic = 29

M is the most likely = 12

O is the most optimistic = 10

Hence we have (10 + [4*12]+ 29) ÷ 6

= (10 + 48 + 29) ÷ 6

= 87÷6 = 14.5 ≈ 15

Rounded figure is equal to 15.

Hence the final answer to the question is 15

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Equation of green line:

Points on the green line are (-3, 5) and (3, 3)

Here, slope (m)= (3-5)/(3+3)

= -2/6

m= -1/3

Substitute, m= -1/3 and (x, y)=(-3, 5) in y=mx+c, we get

5= -1/3 (3)+c

c=6

Substitute, m= -1/3 and c=6 in y=mx+c, we get

y= -1/3 x+6

Equation of blue line:

Points on the blue line are (1, 0) and (0, -4)

Slope (m)= (-4-0)(0-1)

m= 4

Substitute, m= 4 and (x, y)=(1, 0) in y=mx+c, we get

0=4(1)+c

c= -4

Substitute, m= 4 and c= -4 in y=mx+c, we get

y= 4x-4

Therefore, the system of equations from the graph are y= -1/3 x+6 and y= 4x-4.

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Answer:

11

Step-by-step explanation:

QR-SR= _*_=_

46-23=23

22/2=11

This is Right answer.....

I hope you understand....

Plz give me brainliest....

Thanks....

The initial population of the bacteria culture is 200 bacteria.

The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.

In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.

Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.

In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.

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The range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

Andy's calculation of the range of ages as 39, based on subtracting the minimum age from the maximum age (50 - 11), is incorrect. The range of a set of values represents the difference between the maximum and minimum values, but it does not necessarily reflect the actual span or dispersion of the values within that range.

In the context of ages, the range refers to the difference between the highest and lowest ages in a given group. However, this calculation alone does not provide any information about the distribution or spread of ages within that range.

For example, if a group consists of individuals with ages 11, 12, 13, 14, ..., 49, 50, the range would still be 39 years (50 - 11). However, the ages within that range are evenly distributed and not widely spread.

On the other hand, if the group has ages 11, 11, 12, 13, ..., 49, 50, the range would still be 39 years, but the ages are tightly clustered around the lower end of the range.

Therefore, while the range of ages may be 39 years, it does not provide sufficient information to determine the actual distribution or spread of ages within that range.

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Answer:

x=0 and x=4/3

Step-by-step explanation:

The tangent line will be horizontal at the points where \(f'(x)=0\):

\(f(x)=x^3-2x^2\\f'(x)=3x^2-4x\\0=3x^2-4x\\0=x(3x-4)\\x=0,\frac{4}{3}\)

Thus, at x=0 and x=4/3, the tangent line will be horizontal at those points.

60x + 42y

60x +42y

60x +42y

The distributive property of 6(10x + 7y) is 60x + 42y

Distributive property tells us the order of operations to be followed by us while doing mathematical operations. the order of operations laid by distributive property is given below in chronological order:

1. Solve the brackets.

2.Orders(Exponents and square roots)

3. Division

4. Multiplication.

5.Addition

6. Subtraction

Now using Distributive property on 6(10x+7y)

1. Solve the brackets:

We can't do anything with the part inside the bracket as it contains all unknown values.

Hence, it will be as it is.

6 × 10x + 6 × 7y

2. Orders:

Whenever the index of any term is not shown, it is 1.

If any number is not multiplied by itself, it can be raised to 1.

3. Division:

The given polynomial doesn't have division with a non one number.

4. Multiplication:

6 × 10x + 7 × 7y

60x+42y

5. Addition:

Indefinite values can't be added

60x+42y

6. Subtraction:

No sign of subtraction is seen

Hence ,the distributive property of 6(10x + 7y) is 60x + 42y

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