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Answer:

14/17

Step-by-step explanation:

14/17 as a fraction can't be simplified. 17 is a prime number, so it can't be divided by anything except 1.

If the question you're asking is 14-17, the answer would be -3...

I hope this helped you out!! Have an awesome day C:

Step-by-step explanation:

if you are subtracting it is -3

if you are dividing it is 0.823

if you are looking for an equivalent fraction it is 28/34

Answer:

-2≤g

Step-by-step explanation:

−12≤3(g−2)  Distribute.

-12≤3g-6      Add 6 to both sides.

+6       +6

-6≤3g           Divide by 3 on both sides.

/3  /3

-2≤g

Hope this helped you out!! Have a wonderful day :D

Answer:

Step-by-step explanation:

The Shannon diversity index (H') is a measure of the diversity of a community, and is calculated using the formula:

H' = - Σ(pi * ln(pi))

where pi is the proportion of individuals in the community belonging to the i-th species, and ln is the natural logarithm.

Higher values of H' indicate greater diversity, and H' approaches 1 as the diversity of the community approaches 0.

To determine which sample has a Shannon diversity index closer to 1, we need to calculate the H' values for both samples.

Let's call the two species in the samples A and B. From the information given, we know that:

Sample a has two species, and 42% of the individuals belong to species A.

Sample b has two species, and 93% of the individuals belong to one of the species (let's assume this is species A).

For sample a, we can calculate the proportion of individuals belonging to species B as:

1 - 0.42 = 0.58

So the proportions pi for sample a are:

pA = 0.42

pB = 0.58

Using these values, we can calculate the H' value for sample a as:

H' = - [(0.42 * ln(0.42)) + (0.58 * ln(0.58))] = 0.985

For sample b, we know that 93% of the individuals belong to species A, so the proportion of individuals belonging to species B is:

1 - 0.93 = 0.07

So the proportions pi for sample b are:

pA = 0.93

pB = 0.07

Using these values, we can calculate the H' value for sample b as:

H' = - [(0.93 * ln(0.93)) + (0.07 * ln(0.07))] = 0.209

Since a higher value of H' indicates greater diversity, we can see that sample a has a Shannon diversity index closer to 1. Therefore, sample a is the sample with a Shannon diversity index closer to one.

Answer:

The graph of f(x)=x^2 is reflected over the x-axis. The answer is D

Answer:

The answer is D

Answer:

There should be 5 lines of symmetry.

Step-by-step explanation:

Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.

Here,

Carla was asked to draw all the lines of symmetry for a regular pentagon.

She drew the picture as shown.

We have to find Carla's mistake.

What is Regular Pentagon?

A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.

Now,

As shown in figure,

Carla's draw only one line of symmetry.

But in a regular pentagon there should be 5 line of symmetry.

Hence, There should be 5 line of symmetry.

Option 4 is true.

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Answer:

£5,900 in taxes

Step-by-step explanation:

How much Income Tax would be paid by someone earning £41,000 in a tax year when the basic rate of Income Tax is 20% and the annual tax-free personal allowance is £11,500?

41,000 - 11,500 = 29,500 taxable

20% = 0.2

29,500 * 0.2 = £5,900 in taxes

Answer:

600

Step-by-step explanation:

yw

Given:

The length of a rectangle is one unit more than its width.

Area of rectangle = 56 units

To find:

The dimensions of the rectangle​.

Solution:

Let, width of the rectangle be x.

Then, length of the rectangle = x+1

Area of a rectangle is

\(Area=length\times width\)

\(56=(x+1)\times x\)

\(56=x^2+x\)

\(0=x^2+x-56\)

By splitting the middle term, we get

\(x^2+8x-7x-56=0\)

\(x(x+8)-7(x+8)=0\)

\((x-7)(x+8)=0\)

Using zero product property, we get

\(x-7=0\) and \(x+8=0\)

\(x=7\) and \(x=-8\)

Width cannot be negative. So, x=7.

Now,

Width = 7 units

Length = 7+1

            = 8 units

Therefore, the length of the rectangle is 8 units and width is 7 units.

Answer:

7

Step-by-step explanation: POV: I got it right

Answer:

96.76

Step-by-step explanation:

The correlation coefficient measures the strength and direction of the linear relationship between two variables.

In this scenario, Maria and John are conducting a study on the relationship between forearm length and height. Maria measures the subjects in centimeters and calculates the correlation coefficient to be r = 0.86. Since John measures the same subjects but in inches, we can expect that his correlation coefficient will still be approximately 0.86.

This is because the linear relationship between the variables remains the same, regardless of the unit of measurement used. The pattern in the data, which indicates a strong positive correlation, should persist even when converting from centimeters to inches.

Therefore, the statement "John's correlation will be approximately 0.86 because the pattern in the data will be the same" is the most accurate explanation.

It suggests that the linear relationship between forearm length and height, as observed by Maria, will be consistent when John measures the same subjects in inches, resulting in a similar correlation coefficient of approximately 0.86.

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(AUBNC) = {-2, 1, 2, 3, 6, 7}

(A'N C') UD = {-5, -3, -1, 0, 2}

(B' U C) n (-5) = {-5}

(D' U (7, 9)) = {-5, -3, -2, -1, 0, 1, 2, 3, 6}

(C' n B') UD = {-5, -3, -2, -1, 0, 1, 2, 3}

(CU Ø) NA = {-5, -3, -2, -1, 0, 1, 2, 3, 6, 7}

(-2) NAUA = {-2}

(0) UD = {0}

(AUCUD) = {-5, -3, -2, -1, 0, 1, 2, 3, 6, 7}

(A U B'n {-7}) = {-5, -3, -2, -1, 0, 1, 2, 3, 6, 7}

The first paragraph is the summary of the answer. The second paragraph is the explanation of the answer.

The first paragraph is the summary of the answer. It contains the answers to the 10 questions. The answers are in the same order as the questions.

The second paragraph is the explanation of the answer. It contains the steps that were taken to find the answers. The steps are in the same order as the questions.

The first step is to find the union of A and B. This is done by taking all the elements that are in either A or B. The union of A and B is {-2, 1, 2, 3, 6, 7}.

The second step is to find the intersection of A and B. This is done by taking all the elements that are in both A and B. The intersection of A and B is {-2, 1, 2, 3, 6, 7}.

The third step is to find the complement of A. This is done by taking all the elements that are not in A. The complement of A is {-5, -3, -1, 0, 2}.

The fourth step is to find the intersection of the complement of A and the complement of B. This is done by taking all the elements that are in both the complement of A and the complement of B. The intersection of the complement of A and the complement of B is {-5, -3, -1, 0, 2}.

The fifth step is to find the union of the complement of A and the complement of B and D. This is done by taking all the elements that are in the complement of A or the complement of B or D. The union of the complement of A and the complement of B and D is {-5, -3, -1, 0, 1, 2, 3}.

The sixth step is to find the union of C and the empty set. This is done by taking all the elements that are in C or the empty set. The union of C and the empty set is C.

The seventh step is to find the intersection of the union of C and the empty set and A. This is done by taking all the elements that are in the union of C and the empty set and A. The intersection of the union of C and the empty set and A is A.

The eighth step is to find the intersection of -2 and the union of A and the complement of A. This is done by taking all the elements that are in -2 and the union of A and the complement of A. The intersection of -2 and the union of A and the complement of A is {-2}.

The ninth step is to find the union of 0 and D. This is done by taking all the elements that are in 0 or D. The union of 0 and D is {0, 2}.

The tenth step is to find the union of A and the complement of B and the empty set. This is done by taking all the elements that are in A or the complement of B or the empty set. The union of A and the complement of B and the empty set is A.

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\(\\ \sf\longmapsto g=b(a+D^2)\)

\(\\ \sf\longmapsto g=ba+bD^2\)

\(\\ \sf\longmapsto g-bD^2=ba\)

\(\\ \sf\longmapsto a=\dfrac{g-bD^2}{b}\)

or

\(\\ \sf\longmapsto a=\dfrac{g}{b}-D^2\)

Answer:-7.5

Step-by-step explanation:

If we take out the negative and make it 24 ÷ 3.2, it would be 7.5 since 3.2 would go into 24 7.5 times. But since we changed it to figure it out, we have to change it back with the rule that "a negative x negative is a positive" meaning that the

24 ÷ 3.2 = 7.5

would change to

24 ÷ (-3.2) = -7.5 OR

Positive ÷ negative = negative

(And this goes with any operation)

The rate column will be:

A= 30

B= 20

C= x miles

D= x miles

It should be noted that rate simply means the measure, quantity, or frequency that one measure against another quantity or measure.

In this case, Jorden drives to the store at 30 miles per hour and on her way home she averages only 20 miles per hour.

Therefore, the rate column will be:

A= 30

B= 20

C= x miles

D= x miles

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Fill out the Rate column in the table below. Jorden drives to the store at 30 miles per hour. On her way home she averages only 20 miles per hour. If the total driving time takes half an hour, how far does she live from the store? Fill out the Rate column in the table below. a = b =

Answer: y=+{%

Step-by-step explanation:

€

hey

heh

The average length of a Major League Baseball game increased by 30 minutes from 1970 to 2018. The relative change in game times is calculated to the nearest whole percent.

To calculate the absolute change in Major League Baseball game times from 1970 to 2018, we subtract the initial value (150 minutes) from the final value (180 minutes):

Absolute change = 180 minutes - 150 minutes = 30 minutes

Therefore, the absolute change in game times is 30 minutes.

To determine the relative change, we divide the absolute change by the initial value and multiply by 100:

Relative change = (30 minutes / 150 minutes) * 100

Relative change = 0.2 * 100 = 20%

Therefore, the relative change in Major League Baseball game times from 1970 to 2018 is 20%, rounded to the nearest whole percent.

In this problem, the main words to focus on are "average length," "Major League Baseball game," "1970," "2018," "absolute change," and "relative change." By subtracting the initial value from the final value, we calculate the absolute change, while the relative change is determined by dividing the absolute change by the initial value and multiplying by 100.

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The discrete and continuous random variables are-

a) Discrete; (b) Continuous; (c) Discrete; (d) Continuous; (e) Discrete; (f) Continuous

(a) So because number of new accounts is counted, (a) discrete (like, non-negative integers).

(b) Continuous, given that the interval between customer arrivals may have decimal values (like 2.9 minutes or 27.75 seconds).

(c) Because the quantity of clients is counted, (c) discrete (like, non-negative integers).

(d) Continuous, as the fuel consumption can have decimal values (like 15.5 gallons).

(e) Since this number of minorities is counted, (e) discrete (like, non-negative integers).

(f) Continuous since the outdoor temperature can be expressed in decimal degrees (e.g., 7.78 C).

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The Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

The Balmer series is a series of spectral lines in the emission spectrum of hydrogen. It corresponds to transitions of electrons in hydrogen atoms from higher energy levels (initial states) to the second energy level (final state) with nf = 2.

In the Balmer series, the first line is associated with an initial energy level ni = 3. This means that the electron starts in the third energy level and transitions to the second energy level (nf = 2). Each line in the series corresponds to a different transition between energy levels.

Based on this information, the second line in the Balmer series would correspond to a transition where the electron starts from the fourth energy level (ni = 4) and ends up in the second energy level (nf = 2). This transition represents a higher energy change compared to the first line in the series.

Therefore, for the Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.

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The decision is to reject the null hypothesis (H₀).

To test the bus company's claim, we can set up the following hypotheses:

H₀: μ ≥ 5 (The mean waiting time for a bus during rush hour is greater than or equal to 5 minutes.)

H₁: μ < 5 (The mean waiting time for a bus during rush hour is less than 5 minutes.)

Here, μ represents the population mean waiting time.

To test these hypotheses, we can use a one-sample t-test since the sample size is small (n = 20) and the population standard deviation is unknown. We need to calculate the t-statistic using the sample mean, sample standard deviation, and sample size.

The formula for the t-statistic is:

t = (x- μ) / (s / √n),

where x is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the values from the problem, we have:

x= 3.7 (sample mean)

s = 2.1 (sample standard deviation)

n = 20 (sample size)

μ = 5 (hypothesized population mean)

Calculating the t-statistic:

t = (3.7 - 5) / (2.1 / √20) ≈ -1.923

Next, we need to determine the critical t-value for a significance level of α = 0.01 and degrees of freedom (df) = n - 1 = 20 - 1 = 19. Using a t-table or a statistical calculator, the critical t-value is approximately -2.861.

Since the calculated t-statistic (-1.923) is greater than the critical t-value (-2.861) and falls in the rejection region, we reject the null hypothesis. Therefore, we have evidence to support the claim that the mean waiting time for a bus during rush hour is less than 5 minutes.

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Answer:

C (a, b) is the cordinates of point c.

Answer:

0.16

Step-by-step explanation:

I took the test

Probability of the intersection of being a junior and participating in marching band = 0.16

The probability of an event taking place is the numeric value determining how likely that particular event is to take place.

It is determined by the formula,

Probability( Event ) = Number of favorable outcomes for that event/Total number of outcomes.

The summation of all probabilities for a given event is 1.

The intersection of Probabilities is just the product of the two probabilities.

In the question, we are said that students have equal probabilities of being freshmen, sophomores, juniors, or seniors.

∴ Probability(A student is a junior) = 1/4 = 0.25, as we have 4 cases all equally probable.

Now, we are said that a student is  64% likely to join the marching band.

∴ Probability( A student joins marching band) = 64% = 64/100 = 0.64.

We are asked to find the probability of the intersection that a student is a junior and participates in the marching band.

Probability( A student is a junior and joins marching band) =  Probability( A student joins marching band)* Probability( A student is a junior)

∴ Probability( A student is a junior and joins marching band) = 0.64*0.25 = 0.16

∴ Probability of the intersection of being a junior and participating in marching band = 0.16

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Answer: 7

Step-by-step explanation:

i wish i knew why

The points in a scatter plot cluster closely around the regression line, the correlation can be said to be the proportion of variance in Y that is determined or explained by X.

It is critical to understand that a correlation coefficient of zero indicates that there is no linear courting, but there can also nonetheless be a strong relationship among the 2 variables.

If one point of a scatter diagram is farther from the regression line than a few other factor, then the scatter diagram has as a minimum one outlier. If two or extra points are the identical farthest distance from the regression line not a commonplace prevalence), then every of those points is an outlier.

When the y variable has a tendency to increase because the x variable increases, we say there may be a high-quality correlation between the variables. when the y variable has a tendency to lower as the x variable increases, we are saying there's a bad correlation between the variables.

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The perimeter on the blueprint is 13 inches.

What is the perimeter of the rectangle?

To find the perimeter of a rectangle, you add up the lengths of all four sides. If the length of one side is labeled "l" and the length of an adjacent side is labeled "w", then the perimeter is:

P = 2l + 2w

To find the perimeter on the blueprint, we need to convert the actual dimensions of the bedroom from feet to inches, using the scale on the blueprint.

Since 1/4 inch on the blueprint represents 1 foot in real life, we can multiply the actual dimensions of the bedroom by 1/4 to get the dimensions on the blueprint in inches:

Length on blueprint = 1/4 * 16 feet = 4 inches

Width on blueprint = 1/4 * 10 feet = 2.5 inches

Now that we have the dimensions on the blueprint in inches, we can find the perimeter on the blueprint by adding up the four sides:

Perimeter on blueprint = 2 * (length on blueprint + width on blueprint)

Perimeter on blueprint = 2 * (4 + 2.5) inches

Perimeter on blueprint = 13 inches

Therefore, the perimeter on the blueprint is 13 inches.

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Answer: $30 for 75 copies.

Step-by-step explanation:

    We will set up a proportion to help us solve. Let x be equal to the amount for 75 copies.

         \(\displaystyle \frac{10 \ copies}{\$4} = \frac{75 \ copies}{\$x}\)

   Cross-multiply:

10 * x = 75 * 4

10x = 300

    Divide:

x = $30

Answer:

3x + 6 + 4x + 2 = 7x+8

Step-by-step explanation:

Answer:

C I think would be the answer.

Answer:

144

Step-by-step explanation:

I will  explain later kinda busy

6x4x12=288

288/2 (because it is a triangle and triangles are half of squares)