Which expression is equivalent to

Answer:

D is the answer i think

Answer:

D

Step-by-step explanation:

The Perimeter of the rectangle is equal to= 2(l+w)

= 2(6x+10+4x+1)

=2(10x+11)

=20x+22

Answer:

lets say there are 4 teens, 8x4= 32 so it would cost $32

Since we don't know how many teenagers there are, let's represent them with a variable t!

8t=cost of "tickets"

Let's say T=7

8*7=56!

56 is the cost!

The mean number of orca calves in a sample of 40 pods is 16, the standard deviation is 12, and the standard error is 3.

In this problem, we are given that the average orca pod has 16 calves each year, with a standard deviation of 12 calves. We are also told that a random sample of 40 pods is selected.

The mean of the sample is equal to the population mean, which is 16 calves. The standard deviation of the sample is equal to the population standard deviation divided by the square root of the sample size, which is 12 / sqrt(40) = 3 calves.

The standard error is a measure of how much the sample mean is likely to vary from the population mean. The standard error is equal to the standard deviation of the sample divided by the square root of the sample size, which is 3 / sqrt(40) = 0.73 calves.

In other words, if we were to take many samples of 40 pods, the mean number of orca calves in each sample would be expected to vary from the population mean of 16 calves by an amount of +/- 0.73 calves.

This means that it is possible for the sample mean to be as low as 15.27 calves or as high as 16.73 calves.

It is also important to note that the standard error is only a measure of how much the sample mean is likely to vary from the population mean. It does not tell us anything about the distribution of the sample data.

The distribution of the sample data could be normal, skewed, or uniform. Without knowing more about the distribution of the sample data, we cannot say anything about the probability of getting a particular number of orca calves in a sample of 40 pods.

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Thus answer is ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

To verify if two functions u(x) and v(x) are orthogonal on the interval [−1,1], we need to check if their inner product over that interval is zero. The inner product of two functions u(x) and v(x) is given by:

⟨u,v⟩ = ∫[−1,1] u(x)v(x) dx

Let's calculate the inner product and check if it equals zero:

∫[−1,1] u(x)v(x) dx = ∫[−1,1] (x^3 - x) (3x^2 + 1) dx

Expanding and integrating:

∫[−1,1] (3x^5 + x^3 - 3x^3 - x) dx = ∫[−1,1] (3x^5 - 2x^3 - x) dx = 0

Since the inner product is zero, we can conclude that the functions u(x) and v(x) are orthogonal on the interval [−1,1].

Next, let's calculate the norms of u(x) and v(x):

∥u(x)∥ = √(∫[−1,1] (x^3 - x)^2 dx) = √(52/5) = √(260/25) = 2√(13/5) = 2√(65)/5

∥v(x)∥ = √(∫[−1,1] (3x^2 + 1)^2 dx) = √(7/2)

Therefore, ∥u(x)∥ = 2√(65)/5 and ∥v(x)∥ = √(7/2).

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The parameters a and b must be set to 1 and 20, respectively, for the function to be linear.

By examining whether the differences between any two sets of y-values are proportionate to the differences between their corresponding x-values, we may establish if the function is linear or not.

Let's figure out the variations:

2 - (-4) = 8 is the difference between the y-values of the second and first pairings.

The x-values of the second and first pairings differ by a - (-3) = a + 3.

The third and second pairings' y-values differ by 10 - 4 = 6, which is how many.

The third and second pairings' x-values differ by 4 - a.

The fourth and third pairings' y-values differ by b - 10, which is 10.

The fourth and third pairings' x-values differ by 9 - 4 = 5.

For the function to be linear, these ratios of differences should be equal:

8 / (a + 3) = 6 / (4 - a) = (b - 10) / 5

Simplifying the first ratio gives us: 8 / (a + 3) = 2 / (a + 3/4), which can only be true if a = 1.

Substituting a = 1 in the third ratio, we get:

(b - 10) / 5 = (b - 10) / (4 - 1)

3(b - 10) = 5(b - 10)

2b = 40

b = 20

Therefore, the values for a and b that would result in the function being linear are:

a = 1; b = 20

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Answer:

Answer 50

Step-by-step explanation:

4(10) + 10

40+10

50

Answer:

112

Step-by-step explanation:

8*14=112

3.14*4²=50.24

50.24/2=25.12

112-25.12+25.12=112

The answer to the given question is nominal and ordinal measurements. These two type measurements are used to group respondents or objects into groups or categories and also considered as categorical measures.

Nominal measurement is the least accurate and informative, because it only names the characteristic or identity which we are interested. In nominal variables, the numerical values just "name" the attribute differently. Thus, numerical value is simply a label.

Ordinal measurement reports the ranking and ordering of the data without chartering the degree of variation. Ordinal measurement includes statistical data type in which variables are in order or rank but without a degree of difference between categories. The ordinal measurement includes qualitative data. This measurement places variables in order or rank, and only allowing to measure the value as higher or lower in measurement.

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By using the unitary method, the formula connecting the cost (c) with the distance travelled (d) km is

For the 10 km journey the formula will be,

c = (500/10) x d

For the 15 km journey, the formula will be,

c = (650/15) x d.

And the cost for 7km is $350.

Unitary method:

Unitary method is the type of method of determining the answer to a problem by first determining the value of a single unit and then multiplying the single unit value.

Given,

The cost of hiring a taxi is partially constant and partly varies directly with the distance travelled it costs $500 for a journey of 10cm and $650 for a journey of 15km

Here we need to find the formula for this distance calculation and the cost for 7 km.

Let us consider c be the cost for the distance d.

Therefore, the formula for calculating the cost is written as,

For the 10 km journey the formula will be,

c = (500/10) x d

For the 15 km journey, the formula will be,

c = (650/15) x d.

Here we have the value of disance d which equal to 7, which means it will come under the 10 km journey, so the cost is,

c = (500/10) x 7

c = 50 x 7

c = 350

Therefore, the cost for 7 km is $350.

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Answer:

A

Step-by-step explanation:

Answer:

It's Option D

Step-by-step explanation:

All of Eduardo's steps are justified.

Answer:

D

Step-by-step explanation:

Answer: AAS → Makes the most sense

- They give two angles and a side for both triangles

Step-by-step explanation:

Answer:

d. 289

Explanation:

You want to solve the function of q when function of r has an input of 5.

Might sound confusing but find the output of function r(x) with the input of

x = 5.

From the r(x) chart:

r(5) = -17

Now substitute that in the original question:

q(r(5)) = q(-17)

Look at the q(x) chart next, as you can see:

q(-17) = 289

So all in all:

q(r(5)) = 289

Cheers!

Answer:

e

Step-by-step explanation:

because it iiiiiiiiiiiiiiis

Answer:

\(\huge\boxed{Factor \ Pairs \ Of \ 18 \hookleftarrow}\)

\(1 \times 18 = 18 \\ 2 \times 9 = 18 \\ 3 \times 6 = 18 \\ 6 \times 3 = 18 \\ 9 \times 2 = 18 \\ 18 \times 1 = 18\)

⎆ So, the factor pairs are :-

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

Step-by-step explanation:

5 less than the product of a number squared and 8, translating the expression:

In the right end, as x increases without bound, the graph of f(x) decreases.

In the left end, as x decreases without bound, the graph of f(x) increases.

The graph shows that the function has a decreasing end behavior without bound.

This means that as x increases, f(x) decreases indefinitely. The arrow on the graph indicates this trend, as the function extends without limit.

The graph clearly illustrates that as x increases, f(x) approaches the x-axis. Therefore, it can be concluded that the function approaches negative infinity as x approaches infinity.

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Answer:

-2m

Step-by-step explanation:

Answer:

4x8-12

Step-by-step explanation:

If she had 4 trays and EACH had 8 muffins you would multiply. So 32 muffins in total, but when you take away which is subtraction, it would be the value of m which is 32-12 and you would get 20 muffins left.

Answer:

$19

Step-by-step explanation:

the following equations can be determined from the question

5j + 2s = 208 equation 1

3j + 4s = 178  equation 2

where j = jeans

s = sweatshirts

simultaneous equation would be used to determine the values

Multiply equation 1 by 2

10j + 4s = 416 equation 3

subtract equation 2 from 3

7j = 238

j= $34

substitute for j in equation 1

5(34) + 2s = 208

2s = 38

s = $19

The value of x is 13.85.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

From the figure,

(7x + 1)° and (6x - 1)° makes a straight angle.

This means,

(7x + 1) + (6x - 1) = 180

7x + 1 + 6x - 1 = 180

13x = 180

x = 180/13

x = 13.85

Thus,

x is 13.85°

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Answer:

Step-by-step explanation:

\(y-0 =3(2-3)\)

Expand ; 3(2-3) = 6-9

\(y-0=6-9\\\\Simplify\\\\y-0=-3\\y =-3+0\\\\y =-3\)

Answer:

A,C,D i believe

Step-by-step explanation:

Answer:

D. She earns $580 and spends $422.

Step-by-step explanation:

The option of Monica earning $580 and spending $422 will allow her to have enough money to buy the new computer.

First, add $580 to the $284 that she already has saved:

284 + 580

= $864

Then, subtract $422 from this:

864 - 422

= $442

So, this option will leave her with $442. Since she only needed to save at least $399 to buy the computer, this means she has enough money for it.

The option that will let her buy the computer is D. She earns $580 and spends $422.

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a conversion factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn.

(a) The given units can be converted as follows: 6 glints = 1 filn...

(1)12 grees = 1 zool...

(2)2 grees = 10 twibbs...

(3)5 grees = 1 bic...

(4)Note that the grees are in both the numerator and denominator of the second unit conversion factor (3). Hence we can cancel out the grees by using it twice in the numerator and denominator. Now using the given conversion factors in equation (1), we get:

7 glint/twibb=7 glint/ (10 grees/2 grees)=14 glint/10 grees=14 glint/ (5 grees/12 grees)=16.8 filn/strord

(b) We need to convert the result of part (a) from filn/strord to megafiln/strord.

1 mega = 106

Thus 1 megafiln = 106 filn

16.8 filn/strord = (16.8 filn/strord) x (1 megafiln/106 filn) = 1.68 x 10-5 megafiln/strord

The number of megafilns-per-strord should be smaller than the number of filns-per-strord since a mega is a factor of 10³ and is greater than 1, hence 1 megafiln is greater than 1 filn. Similarly, going 1 foot-per-hour would mean going a smaller number of feet-per-hour than going 1 mile-per-hour since there are 5280 feet in a mile.

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Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.

Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.

Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:

x + y = 30      (1)

Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:

8% of x + 20% of y = 10% of 30 liters

0.08x + 0.2y = 3         (2)

Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:

0.12x = 3

x = 25 liters

x + y = 30

25 + y = 30

y = 5 liters

Manuel needs 20 liters of the 8% and 5 liters of 20% mixture

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The mean of this distribution is 26.5. The standard deviation is 8.0623. The probability that the number will be exactly 36 is P (x = 36) = 0.0286. The probability that the number will be between 21 and 23 is P (21 < x < 23) = 0.0400. The probability that the number will be larger than 26 is P (x > 26) = 0.2857. P (x > 16 | x < 18) = undefined. The 49th percentile is 29.3700. The minimum for the lower quartile is 19.75.

a. The mean of a uniform distribution is the average of the maximum and minimum values, so in this case, the mean is:

mean = (12 + 41) / 2 = 26.5

Therefore, the mean of this distribution is 26.5.

b. The standard deviation of a uniform distribution is given by the formula:

sd = (b - a) / sqrt(12)

where a and b are the minimum and maximum values of the distribution, respectively. So in this case, the standard deviation is:

sd = (41 - 12) / sqrt(12) = 8.0623

Therefore, the standard deviation of this distribution is 8.0623.

c. Since the distribution is uniform, the probability of getting any specific value between 12 and 41 is the same. Therefore, the probability of getting exactly 36 is:

P(x = 36) = 1 / (41 - 12 + 1) = 0.0286

Rounded to four decimal places, the probability is 0.0286.

d. The probability of getting a number between 21 and 23 is:

P(21 < x < 23) = (23 - 21) / (41 - 12 + 1) = 0.0400

Rounded to four decimal places, the probability is 0.0400.

e. The probability of getting a number larger than 26 is:

P(x > 26) = (41 - 26) / (41 - 12 + 1) = 0.2857

Rounded to four decimal places, the probability is 0.2857.

f. The probability that x is greater than 16, given that it is less than 18, can be calculated using Bayes' theorem:

P(x > 16 | x < 18) = P(x > 16 and x < 18) / P(x < 18)

Since the distribution is uniform, the probability of getting a number between 16 and 18 is:

P(16 < x < 18) = (18 - 16) / (41 - 12 + 1) = 0.0400

The probability of getting a number greater than 16 and less than 18 is zero, so:

P(x > 16 and x < 18) = 0

Therefore:

P(x > 16 | x < 18) = 0 / 0.0400 = undefined

There is no valid answer for this question.

g. To find the 49th percentile, we need to find the number that 49% of the distribution falls below. Since the distribution is uniform, we can calculate this directly as:

49th percentile = 12 + 0.49 * (41 - 12) = 29.37

Rounded to four decimal places, the 49th percentile is 29.3700.

h. The lower quartile (Q1) is the 25th percentile, so we can calculate it as:

Q1 = 12 + 0.25 * (41 - 12) = 19.75

Therefore, the minimum for the lower quartile is 19.75.

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Answer:

I think it is D.

Step-by-step explanation: So I am not 100% Sure on this, but if D is wrong, it is 100% A.

Answer:

D

Step-by-step explanation:

Because 20% increased is like 4 over 20, 4 times 20 is 100 so x is over 100

Answer: Approx 4.6

Step-by-step explanation:

5 necklaces, each 11/12 feet

(5*11)/12

55/12