The sum of two numbers is 45. Their difference is 11.
What is the smaller number?

All of the following are measures of central tendency except the range.

The range is a measure of dispersion, representing the difference between the largest and smallest values in a dataset. It provides information about the spread or variability of the data but does not provide information about the central tendency.

On the other hand, measures of central tendency are statistical measures that aim to summarize the center or typical value of a dataset. They include the mode, median, and mean.

The mode represents the most frequently occurring value(s) in the dataset.

The median is the middle value when the data is arranged in ascending or descending order. It divides the dataset into two equal halves.

The mean is the arithmetic average of all the values in the dataset. It is calculated by summing all the values and dividing by the total number of values.

Therefore, option C, range, is not a measure of central tendency as it focuses on the spread or dispersion of the data rather than summarizing the central or typical value.

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Answer:

157.92 + d = ?

Step-by-step explanation: Since you don't the amount of what his grandmother gave him you substitute the "number" for a letter. Example A or D.

I hope this helps.

The classification of the variables in the question above is  as follows:

Discrete quantitative data refers to data that can be counted in whole numbers and is often used to describe things that can be categorized into groups. like the number of people in a room or the number of cars in a parking lot.

Quantitative continuous data refers to data that can be measured on a continuous scale, such as time, temperature, or weight, like the temperature of a room or the weight of a person.

Qualitative nominal data refers to data that can be categorized into groups but cannot be measured or ranked, like the type of car someone drives or the color of someone's eyes.

Qualitative ordinal data refers to data that can be categorized into groups and can be ranked or ordered, like the level of education someone has achieved or the ranking of a sports team.

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Answer:An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.

Step-by-step explanation:

An integer (from the Latin integer meaning "whole") is colloquially defined as a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 512, and √2 are not. ... ℤ is a subset of the set of all rational numbers ℚ, which in turn is a subset of the real numbers ℝ.

Answer:

Integers are any numbers, positive or negative, except 0.

The value of x on the given sides of the rectangles is 4.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

Given, The area of the shaded region is 39.

As the smaller rectangle is inside the whole larger rectangle,

∴The area of the smaller rectangle subtracted from the area of the whole larger rectangle is the area of the shaded region.

So, (2x - 1)(x + 3) - (x - 2)(x + 1) = 39.

2x² + 6x - x - 3 - x² - x + 2x + 2 = 39.

x² + 6x - 1 = 39.

x² + 6x - 40 = 0.

x² + 10x - 4x - 40 = 0.

x(x + 10) - 4(x + `10) = 0.

(x + 10)(x - 4) = 0.

(x + 10) = 0 Or (x - 4) = 0.

x = - 10 Or x = 4.

Now if we put x = - 10 the lengths will be negative which is inappropriate.

So, the value of x that satisfies is 4.

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Answer:

45

Step-by-step explanation:

a) The total number of four-card sequences without any restrictions, allowing replacement, is 6,497,416. b) The number of four-card sequences in which none of the cards can be spades, allowing replacement, is 231,344,376. c) The number of four-card sequences in which all four cards are from the same suit, allowing replacement, is 43,264. d) The number of four-card sequences where the first card is an ace and the second card is not a king, allowing replacement, is 665,856.

a) If there are no restrictions, each card can be chosen independently from the deck. Since there are 52 cards in the deck and replacement is allowed, there are 52 choices for each of the four cards. Therefore, the total number of four-card sequences is 52⁴ = 6,497,416.

b) If none of the cards can be spades, there are 39 non-spade cards in the deck (since there are 13 spades). For each card in the sequence, there are 39 choices. Therefore, the total number of four-card sequences without any spades is 39⁴ = 231,344,376.

c) If all four cards are from the same suit, there are four suits to choose from. For each card in the sequence, there are 13 choices (since there are 13 cards of each suit). Therefore, the total number of four-card sequences with all cards from the same suit is 4 * 13⁴ = 43,264.

d) If the first card is an ace and the second card is not a king, there are 4 choices for the first card (since there are 4 aces in the deck) and 48 choices for the second card (since there are 52 cards in the deck, minus the 4 kings). For the remaining two cards, there are 52 choices each. Therefore, the total number of four-card sequences satisfying this condition is 4 * 48 * 52² = 665,856.

e) To calculate the number of four-card sequences with at least one ace, we can subtract the number of sequences with no aces from the total number of sequences. The number of sequences with no aces is (48/52)⁴ * 52⁴ = 138,411. Therefore, the number of sequences with at least one ace is 52⁴ - 138,411 = 6,358,005.

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Answer:

Rise/run      y=Mx+b

That’s the formula go up so many and go over so many

The probability of heads is 3/4, and the probability of tails is 1/4. Let í be the number of dollars that you receive, which is a random variable. If it comes up heads, you will receive $1, and if it comes up tails, you will receive $2.

Thus, the possible values of í are 1 and 2.The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

Where xi is the ith possible value of í, and Pi is the probability of xi. The expected value of í is given by the formula below:

\(E(i) = \sum_{i=1}^n x_i P_i\)

For this example, the possible values of í are 1 and 2. The probability of heads is 3/4, and the probability of tails is 1/4. Therefore, we can calculate the expected value of í as follows:

\(E(i) = (1) \cdot \frac{3}{4} + (2) \cdot \frac{1}{4}\)

\(= \frac{3}{4} + \frac{2}{4}\)

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

Thus, the expected value of í when the biased coin is flipped once is $1.25.

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By adding the base salary and the commissions,  we conclued that Aileen did make 3,075 dollars last month.

She sold 42 MP3 for $125 each, and she gets a 18% commission on this, so what she wins in commissions is:

0.18*42*$125 = $945

If we add that to the base that she earns per month, which is $2,130, it gives:

$945 + $2,130 = $3,075

In this way, we conclued that Aileen did make 3,075 dollars last month.

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Answer:

3 t-shirts for 21.15

Step-by-step explanation:

21.15/3=7.05

35.75/5=7.15

Answer:

2219.4

Step-by-step explanation:

All you have to do is 6% of 36990 = 0.06 * 36990 = 2219.4

Since the car depreciated by 25%, the car was worth £9,000 after the first year.

Calculated is an adjective that describes a process or action that requires the use of mathematics or numerical data. It can refer to anything from complex financial calculations to measuring the area of a room. Calculated is often used to describe decisions or actions that are made after carefully considering the available information. For example, a calculated risk is one that has been assessed for its potential risks and rewards before being taken. Calculated decisions are based on logical reasoning and facts rather than impulse or emotion.


The non-calculator method to find out how much the car was worth after the first year would involve using the concept of percent change. To calculate the percent change, first identify the original amount (the cost of the car before depreciation) and the new amount (the cost after depreciation). In this case, the original amount is £12,000 and the new amount is 25% lower than the original amount.

To find the new amount, first convert the 25% decrease into a decimal. To do this, divide the percentage by 100. 25% can be written as 25/100, which when simplified is 0.25. Subtract the decimal from 1. The difference between 1 and 0.25 is 0.75. This number is the percentage change.

To apply this percentage change to the original amount of £12,000, multiply 0.75 by 12,000. The result of this calculation is £9,000, which is the cost of the car after the first year. Since the car depreciated by 25%, the car was worth £9,000 after the first year.

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Answer:

5/8; swimming

Step-by-step explanation:

1/4=2/8

2/8+1/8=3/8

8/8-3/9=5/8

Answer

99

Step-by-step explanation:

The volume of the solid is 29.865 cubic units.

We have,

To find the volume of the solid generated by revolving region R around the line y = 6, we can use the method of cylindrical shells.

The volume of the solid can be obtained by integrating the area of each cylindrical shell.

Each shell is formed by taking a thin vertical strip of width dx from region R and rotating it around the line y = 6.

Let's denote the radius of each cylindrical shell as r(x), where r(x) is the distance from the line y = 6 to the curve y = 2tan(\(x^5\)).

Since the shell is formed by revolving the strip around y = 6, the radius of the shell is given by r(x) = 6 - 2tan(\(x^5\)).

The height of each cylindrical shell is the difference in x-values between the curve y = 5 - x and the y-axis, which is given by h(x) = x.

The differential volume of each cylindrical shell is given by:

dV = 2π x r(x) x h(x) x dx.

To find the total volume of the solid, we integrate the differential volume over the interval where region R exists, which is determined by the intersection of the curves y = 2tan(\(x^5\)) and y = 5 - x.

The volume V is given by the integral:

V = ∫[a,b] 2π x (6 - 2tan(\(x^5\))) x dx

Setting the two equations equal to each other, we have:

2tan(\(x^5\)) = 5 -x

Let's use numerical approximation to find the intersection points.

Using a numerical solver, we find that one intersection point is approximately x ≈ 1.051.

Now, we can set up the integral to find the volume of the solid:

V = ∫[a,b] 2π  (6 - 2tan(\(x^5\))) x dx

Since we are revolving around the line y = 6, the limits of integration will be from x = 0 to x = 1.051.

V = ∫[0,1.051] 2π  (6 - 2tan(\(x^5\))) x dx

The integral does not have an elementary antiderivative, so we cannot find the exact value of the integral.

However, we can still approximate the value using numerical methods or software.

Using numerical approximation methods, the volume is approximately V ≈ 29.865 cubic units.

Thus,

The volume of the solid is 29.865 cubic units.

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The population has a normal distribution, the sampling distribution of is normally distributed

d. for any sample size of 30 or more

When the population has a normal distribution, the sampling distribution of means becomes approximately normal for large sample sizes (usually 30 or more) by the central limit theorem.

This means that even if the population distribution is not normal, the sampling distribution of means will approach a normal distribution as the sample size increases.

However, for small sample sizes, the normality assumption may not hold and other techniques may be needed to analyze the data.

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Answer:

I think no 4 shows the best position for 3

Answer:

Absolute value represents the distance from zero when graphed on a number line. For example, the number 7 is 7 units away from zero. ... A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.

Step-by-step explanation:

HOPE IT HELPS . JENITA , PLS MARK AS BRAINLIEST

Answer:

3 pages/minute

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

a hour is 60 minutes so half of that is 30 30÷90=3

In an observational study, the statement that a cause and effect can be determined is false.

Observational studies simply establish associations between predictor and outcome variables. Observational studies cannot confirm that an association contemplates cause and effect.

In observational studies, confounding variables may explain an observed relationship between predictor and outcome variables.

In an observational study, a cause and effect cannot be determined. Observational studies are used to gather data about a particular population or phenomenon, but they do not allow for the determination of cause-and-effect relationships.

This is because observational studies do not control the variables that are being studied and, therefore, cannot determine the relationship between two variables.

In order to determine cause and effect, a controlled experiment is needed in which the variables are manipulated, and their effects are observed.

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Brook measured the distance between two points on the line that are 4 units apart. This is a valid measurement of distance between those two points on the line.

Caleb's statement that the whole line does not have a distance because it continues on forever is a mathematical concept related to the idea of infinity. In mathematics, a line is considered to be an infinite set of points, and therefore, it does not have a finite length or distance.

However, when we talk about a specific segment or distance on the line between two points, we can measure that distance and express it as a finite number.

Vivian's statement that the line is 6 units long is incorrect, assuming that she is referring to the entire line.

As mentioned earlier, a line is considered to be infinite and therefore does not have a finite length or distance. If she is referring to a specific segment of the line between two points, then it is possible that the length of that segment is 6 units.

Therefore Brook measured the distance between two points on the line that are 4 units apart.

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Brook refers to a specific segment of the line, which is 4 units. Caleb correctly states that a geometric line is infinite. Vivian could be referring to a different segment, which she says is 6 units.

In this scenario, we can infer that Brook is talking about a specific segment of the line rather than the entire line. He has measured a specific distance along the line, which he states is 4 units. Meanwhile, Caleb is correct in saying that the whole line does not have a specific length because it continues on forever. This is a property of a geometric line, which is infinite. Vivian's assertion that the line is 6 units could mean that she is referring to another specific segment of the line, different from the segment Brook measured.

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The derivative of the function f(x) = xcos(5x) is f'(x) = cos(5x) - 5xsin(5x). The solution to the given problem is f'(x) = cos(5x) - 5xsin(5x).

The given function is f(x) = xcos(5x). To find its derivative, we can use the product rule of differentiation.

Using the product rule, let u = x and v = cos(5x).

Differentiating u with respect to x, we get u' = 1.

Differentiating v with respect to x, we get v' = -5sin(5x) (using the chain rule).

Now, applying the product rule, we have:

f'(x) = u' * v + u * v'

= (1) * cos(5x) + x * (-5sin(5x))

= cos(5x) - 5xsin(5x)

Therefore, the derivative of the function f(x) = xcos(5x) is f'(x) = cos(5x) - 5xsin(5x).

The solution to the given problem is f'(x) = cos(5x) - 5xsin(5x).

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Therefore, the derivative of the function f(x) = x cos(5x) is f'(x) = cos(5x) - 5x sin(5x).

To find the derivative of the function f(x) = x cos(5x), we can use the product rule. The product rule states that if we have two functions u(x) and v(x), then the derivative of their product is given by:

(d/dx)(u(x) v(x)) = u'(x) v(x) + u(x) v'(x)

In this case, u(x) = x and v(x) = cos(5x). Let's calculate the derivatives:

u'(x) = 1 (derivative of x with respect to x)

v'(x) = -sin(5x) × 5 (derivative of cos(5x) with respect to x, using the chain rule)

Now we can apply the product rule:

f'(x) = u'(x) v(x) + u(x) v'(x)

= 1 × cos(5x) + x × (-sin(5x) × 5)

= cos(5x) - 5x sin(5x)

Therefore, the derivative of the function f(x) = x cos(5x) is f'(x) = cos(5x) - 5x sin(5x).

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it is true that  0.5% of 200 is 10.

True.

To find 0.5% of a number, we need to multiply the number by 0.5/100, which can be simplified to 5/100 or 1/20. This is because "percent" means "per hundred", so 0.5% is equivalent to 0.5 per 100 or 0.5/100.

Multiplying the number by 5/100 is the same as multiplying it by 0.5/100, so it will give us the correct result.

For example, if we want to find 0.5% of 200, we can multiply 200 by 5/100 or 0.5/100:

\(0.5% of 200 = 200 \times 5/100 = 10\)

Therefore, it is true that  0.5% of 200 is 10.

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Answer:3.92

Step-by-step explanation:

find 1/5 of 9.8kg

=1.96kg

3/5 of pears = 1.96*3=5.88kg

apples= 2/5 so 1.96*2=3.92kg

OR 9.8-5.88=3.92kg

Answer:

3.92kg of Apples

Step-by-step explanation:

The size of Pears weight is 3/5 of 9.8kg...

=3/5 * 9.8

=3 * 9.8/5

=29.4/5

=5.88kg

Thus, the size of the Apples will be 9.8kg - 5.88kg

= 3.92kg.

Thus, the farmer sold 3.92kg of Apples at the farmer's market.

Answer:

*The bar is supposed to go on top of the number, but I will put it at the bottom because I don't know how to do it at the top*

a) 0.5

b) 0.13456

Step-by-step explanation:

a) The 5 is repeating so you put the bar on top of the 5

b) The number 13456 is repeated so you put the bar on top of the 13456

Answer: False

Step-by-step explanation: right triangles need two equal angles and one different.

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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a) The number of permutations of the letters in TRISKAIDEKAPHOBIA is: 168,038,400. b) The number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is: 1.142 x 10^26. c) The number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is: 1.196 x 10^64.

Permutations of letters in words:

(a) The word TRISKAIDEKAPHOBIA has 16 letters.

The letters "I" and "A" are repeated three times, while the letter "O" is repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in TRISKAIDEKAPHOBIA is:

16! / (3! * 3! * 2!) = 168,038,400.

(b) The word FLOCCINAUCINIHILIPILIFICATION has 29 letters.

The letters "I" are repeated six times, while the letters "L" and "N" are repeated twice.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in FLOCCINAUCINIHILIPILIFICATION is:

29! / (6! * 2! * 2!) = 1.142 x 10^26.

(c) The word PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS has 45 letters.

Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS is:

45! = 1.196 x 10^64.

(d) The word DERMATOGLYPHICS has 14 letters. Each letter is unique.

We can use the formula:

n! / p1!p2! ... pk!

Where n is the total number of letters, and p1, p2, ... pk are the repeated letters with counts.

Therefore, the number of permutations of the letters in DERMATOGLYPHICS is:

14! = 87,178,291,200.

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