Which data set is the most clustered around its mean?
A.4, 10, 8, 6
B.11, 3, 10, 4
C.2, 9 ,13, 4
D.11, 2, 9, 6

Answer:

QT = 16

Step-by-step explanation:

ΔQRS ~ ΔQRT

In similar triangles, corresponding angles are in same ratio.

\(\frac{QS}{QR}=\frac{QR}{QT}\\\\\frac{25}{20}=\frac{20}{QT}\)

Cross multiply,

QT * 25 = 20 * 20

\(QT =\frac{20*20}{25}\\\\QT = 4*4\\\\QT = 16\)

Answer:  f(-4) = 11

Step-by-step explanation:

f(-4) means that the x is equal to -4, so we plug in -4 for x.

f(x) = -4x - 5,

f(-4) = -4(-4) - 5

       = 16 - 5

       = 11

Answer:

13%

Step-by-step explanation:

the area of the flag is 4x6=24 the circle has an area of 3.14.  3.14/24 is 13%

The  percent of the flag is gold should be considered as the 13%.

Since

In a 4-by-6-foot Colorado state flag, the gold-colored disk has a 1-foot radius.

So here the area of the flag should be

= (4) (6)

= 24

Now the percentage be like

= 3.14/24

= 13%

hence, The  percent of the flag is gold should be considered as the 13%.

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At least 7 people chosen at random are needed to make the probability greater than 1/2 (or 50%) that there are at least two people born on the same day of the week.

To find the number of people needed to make the probability greater than 1/2 (which is 50%) that there are at least two people born on the same day of the week, we can use the concept of the birthday paradox.
The probability of two people having the same birthday is calculated as follows:
P(same birthday) = 1 - P(different birthdays)

The probability of two people having different birthdays can be calculated by considering the first person's birthday (1/7 chance of being born on any particular day of the week) and then multiplying it by the probability that the second person has a different birthday (6/7 chance).

Therefore, P(different birthdays) = (1/7) * (6/7) = 6/49.

To calculate the probability of no two people having the same birthday, we can calculate the complement:
P(no same birthday) = 1 - P(same birthday)

Using the complement rule, we can calculate the probability of no two people having the same birthday for different numbers of people chosen at random. We want to find the minimum number of people needed to make this probability less than 1/2.

For 2 people: P(no same birthday) = (6/49) ≈ 0.122

For 3 people: P(no same birthday) = (6/49) * (5/49) ≈ 0.092

For 4 people: P(no same birthday) = (6/49) * (5/49) * (4/49) ≈ 0.071

As the number of people chosen at random increases, the probability of no two people having the same birthday decreases. To find the minimum number of people needed to make the probability greater than 1/2, we continue this calculation until we find a probability less than 1/2:

For 5 people: P(no same birthday) = (6/49) * (5/49) * (4/49) * (3/49) ≈ 0.052

For 6 people: P(no same birthday) = (6/49) * (5/49) * (4/49) * (3/49) * (2/49) ≈ 0.037

For 7 people: P(no same birthday) = (6/49) * (5/49) * (4/49) * (3/49) * (2/49) * (1/49) ≈ 0.026

Therefore, at least 7 people chosen at random are needed to make the probability greater than 1/2 (or 50%) that there are at least two people born on the same day of the week.

In conclusion, at least 7 people chosen at random are needed to make the probability greater than 1/2 (or 50%) that there are at least two people born on the same day of the week.

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We have

For f(c+2) means x=c+2

Then we will simplify

ANSWER

f(c+2)=-4c+1

Answer:

We can convert the dimensions of the cubic block from meters to decimeters, since there are 10 decimeters in a meter.

0.255 meters = 2.55 decimeters

The volume of a cube is given by the formula:

Volume = (side length)^3

Plugging in the given value of 2.55 decimeters, we get:

Volume = (2.55 dm)^3

Volume = 16.419375 dm^3

Therefore, the volume of the cubic block in cubic decimeters is approximately 16.42 dm^3.

The volume of this block in cubic decimeters is 0.255 meters on a side is 0.000251485 dm³

The volume of the cubic block of concrete can be found by calculating the volume of a cube. The formula for the volume of a cube is V = s^3, where s is the length of the side of the cube.

The side of the cube is 0.255 meters, so the volume is calculated by cubing 0.255.

The volume of the block is 0.0251485m^3.

1m^3 = 1000dm^3.
So, the volume of the block in cubic decimeters is 0.000251485dm^3.

To summarize, the volume of a cubic block of concrete that is 0.255 meters on a side is 0.000251485 dm³.

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The question asks us to find the a graph which represents the width of the rectangle increasing by 1 unit while the area remains constant. The best graph to model this, would be answer choice C

The graph in option 3 models the length of the new rectangle.

According to the problem,

Now if width becomes (x+1) units

∴ Length will be represented as 10/(x+1)

Now from the given options we need to find the exact graph of              f(x) = 10/(x +1)

Here if x = 4 , y =2

So the point (4 , 2) is satisfied which is only happening in the graph of option 3

Option 3 represents the correct graph

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Answer:

Acute angle

Step-by-step explanation:

Acute angles are less than 90 degrees

The upper quartile for the number of inches of snowfall is 15 inches.

The upper quartile, also known as the third quartile, is the value that cuts off the highest 25% of data values. To find the upper quartile for the number of inches of snowfall, we need to follow these steps:

1. Arrange the data values in ascending order.
2. Find the median, or the middle value, of the data set.
3. The upper quartile is the median of the upper half of the data set.

For example, if the data set for the number of inches of snowfall is [2, 4, 6, 8, 10, 12, 14, 16, 18, 20], the steps to find the upper quartile would be:

1. Arrange the data values in ascending order: [2, 4, 6, 8, 10, 12, 14, 16, 18, 20]
2. Find the median: (10 + 12) / 2 = 11
3. The upper quartile is the median of the upper half of the data set: (14 + 16) / 2 = 15

Therefore, the upper quartile for the number of inches of snowfall is 15 inches.

To round the answer to 4 decimal places, we can use the following formula:

Upper quartile = round(upper quartile, 4)

In this case, an upper quartile is already a whole number, so rounding to 4 decimal places will not change the value.

The final answer is:  upper quartile = 15.0000 inches

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To write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10.

To write 10 more than a number, we need to use the mathematical operation of addition. Addition is the process of combining two or more numbers to find the total or sum.

In this case, we are given the number 5 and we are asked to find the number that is 3 more than it. To do this, we can use the mathematical notation: 10 + Number = N+10.

This notation means that we are adding 10 to a number, which results in N+10. The "+" symbol is the addition operator and it is used to indicate that we are performing an addition operation. The "=" symbol is used to indicate that the result of the addition is N+10.

Another way to write 10 more than a number is to use the phrase "10 plus a number". This phrase indicates that we are adding 10 to a number to get N+10.

Therefore, In short, to write 10 more than a number, we use the mathematical operation of addition and the notation 10 + Number = N+10. This means that we are adding 10 to a number, resulting in N+10. It can also be written as "10 plus N", indicating the same operation.

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Answer:

the new coordinates are (-4,1)

Answer:

Use https://www.bartleby.com/  it has helped me out a lot . Its actual tutors/teachers who answer your questions in about 30 minutes !!!!!!!!

Step-by-step explanation:

The probability of drawing a face card followed by condition of drawing non face card is equal to 18% ( approximately).

In a standard deck of cards,

There are 12 face cards 4 jacks, 4 queens, and 4 kings

And 40 non-face cards 10 numbered cards each for the 4 suits.

The probability of drawing a face card on the first draw is

=  12/52

= 3/13.

Assuming a face card was drawn on the first draw,

There are now 51 cards remaining in the deck.

Of which 40 are non-face cards.

Probability of drawing a non-face card on the second draw is

= 40/51.

Probability of both events happening drawing a face card followed by a non-face card

= Multiply the probabilities of the individual events

= (3/13) x (40/51)

= 120/663

=  0.181approximately  

= 18% (rounded to the nearest whole number).

Therefore,  the probability of drawing a face card followed by drawing a non-face card in a standard deck of cards is approximately 18%.

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Answer:

(0, -4)

Step-by-step explanation:

The lines intersect at 0, -4. That is also the solution.

Answer:

D

Step-by-step explanation:

The solution of two functions is the point(s) where they intersect. Since these two graphs intersect at the point (0,-4), this is the solution to the system. Hope this helps!

The 95% confident interval for the true mean length of stay of all hospital patients is (3.716, 5.284) days.

To find a 95% confident interval for the true mean length of stay of all hospital patients, we can use the formula:

Confidence interval = sample mean ± margin of error

The margin of error is calculated as the product of the critical value and the standard error, where the critical value is determined based on the desired confidence level and the standard error is the standard deviation divided by the square root of the sample size.

Given:

Sample mean  = 4.5 days

Standard deviation (σ) = 4 days

Sample size (n) = 100

Confidence level = 95%

First, let's calculate the critical value. Since the sample size is large (n > 30), we can use the Z-table to find the critical value for a 95% confidence level. The critical value corresponds to a 2-tailed test, so we need to find the value that leaves 2.5% in each tail.

Looking up the Z-table, the critical value for a 95% confidence level is approximately 1.96.

Next, let's calculate the standard error:

Standard error (SE) = σ / sqrt(n)

SE = 4 / sqrt(100)

SE = 4 / 10

SE = 0.4

Now, we can calculate the margin of error:

Margin of error = critical value * standard error

Margin of error = 1.96 * 0.4

Margin of error = 0.784

Finally, we can construct the confidence interval:

Confidence interval = sample mean ± margin of error

Confidence interval = 4.5 ± 0.784

Confidence interval = (3.716, 5.284)

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Answer:

Lea messed up on line one when you flip a fraction the exponents become negative hers haven't changed

Step-by-step explanation:

Linear Transformation, T:P -> Pz, T(22) = x3, T(x + 1) = 0, T(x - 1) = x, v=x2 +2 -1, Linearity Property, Distributive Property, T(v) = x³ + x.

Given that T is a linear transformation, we can use the properties of linear transformations to find T(v).

Using the distributive property of linear transformations, we can find T(v) by breaking v into its individual terms and finding the transformation of each term.

So, v = x² + 2 - 1 = x² + 1

T(v) = T(x² + 1)

Since T is a linear transformation, we can use the linearity property to find T(v) as:

T(v) = T(x²) + T(1)

Now, we have to find T(x²) and T(1).

T(x²) = T(x) * T(x) = T(x + 1) + T(x - 1) = 0 + x = x

And T(1) = T(1 * x°) = 1 * T(x°) = 1 * T(22) = 1 * x³ = x³

So,

T(v) = T(x²) + T(1) = x + x³ = x³ + x

Hence, T(v) = x³ + x.

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Answer:

Step-by-step explanation:

The required t score would be determined from the t distribution table. In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 50 - 1 = 49

Since confidence level = 99% = 0.99, α = 1 - CL = 1 – 0.99 = 0.01

α/2 = 0.01/2 = 0.005

the area to the right of z0.005 is 0.005 and the area to the left of z0.005 is 1 - 0.005 = 0.995

Looking at the t distribution table,

t score = 2.678

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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The number of trees more than 10m tall but not more than 20m tall is 18 trees.

0 < h ≤ 5 = 5

height greater than 0m less than or equal to 5m

5 < h ≤ 10 = 9

height greater than 5m less than or equal to 10m

10 < h ≤ 15 = 13

height greater than 10m less than or equal to 15m

15 < h ≤ 20 = 5

height greater than 15m less than or equal to 20m

20 < h ≤ 25 = 1

height greater than 20m less than or equal to 25m

The number of trees that are more than 10m tall but not more than 20m tall are;

10 < h ≤ 15 = 13

15 < h ≤ 20 = 5

So,

13 + 5 = 18 trees

Therefore, the total number of trees which are 10m tall but not more than 20m tall is 18 trees.

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The probability in percentage form is 6.25%

So the correct option is the second one.

Remember that the probability of drawing a random card is the same for all the cards in the deck.

So, we know that in a standard deck of 52 cards there are 13 hearts, then the probability of randomly drawing a heart card from a standard deck is:

P = 13/52

Now, the probability of drawing a diamond of another deck is exactly the same thing:

Q = 13/52

And the joint probability (probability of both events happening) is given by the product between the individual probabilities:

P*Q = (13/52)*(13/52)

And if we want this in percentage form, we just need to multiply this by 100:

100*(13/52)*(13/52) = 6.25%

We conclude that the correct option is the second one, counting from the top.

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Answer:

6.25%

Step-by-step explanation:

I got it right on the test.

In anova, by dividing the mean square between groups by the mean square within groups, a(n) Analysis of variance  statistic is computed.

What is Analysis of variance ?

What are some instances where ANOVA has been applied?

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Respuesta:

x = 5.656854249

Explicación paso a paso:

[NOTA: Solo quería disculparme de antemano por cualquier mala gramática, ya que estoy usando un traductor para esto.]

x/Sen30°= 8/Sen45° [Multiplica ambos lados por Sen30°]

x = (8/Sen45°) * Sen30° [Resuelve usando una calculadora]

x = 5.656854249

You have the following algebraic expression:

The previous expression can be simplified by taking into account, that for the simplification you sum or subtract (depending of signs) similar terms. Remind that similar terms are those one which has the same variable with the same exponent. In this case you have similar terms with variable x and exponent 4, furthermore you have similar terms with variable x and exponent 3. Then you sum this terms and you obtain:

where you have summed 8x^4 + 2x^4 = 10x^4, and 7x^3 + 4x^3 = 11x^3.

Hence, the simplied expression is 10x^4 + 11x^3 + 6

Answer:

The polygon with an interior angle sum of 1080° is an octagon or a polygon with 8 sides. We are given that the interior angle sum of our polygon

Step-by-step explanation:

Sorry if it's wrong.

Answer:

Step-by-step explanation:

Remark

First of all, you need a regular polygon, otherwise the question can have all sorts of interior angles. The standard way to solve this is set up an equation that looks like this.

(n - 2)*180 = 1080              Divide by 180

(n - 2) = 1080/180

n - 2 = 6                             Add 2 to both sides.

n = 6 + 2

n = 8

Conclusion

So an 8 sided figure has 8 interior angles that add up to 1080 if the 8 sided figure is regular.

The difference in the dollar value of Assistantship (Stipend) between art and science fields with  standard errors is equal to 1.214.

Mean      24041.62203                 25952.36501

Sample mean difference between Assistantship (stipend) in arts and science is equal to

=  $25952.36501 - $24041.62203

= $1910.74298.

Hypothesized mean difference is 0 (there is no difference in stipend between the two fields).

Variance        621483.0801            615193.5853

Sample size    521                             479

Standard error of the difference is,

=√[(variance in arts / sample size in arts) + (variance in science / sample size in science)]

= √[(615193.5853 / 479) + (621483.0801 / 521)]

= $49.77

t-statistic

= (sample mean difference - hypothesized mean difference) / standard error of the difference

Substitute the values into the t-statistic formula,

⇒ t-statistic = ($1910.74298 - 0) / $49.77

⇒ t-statistic = 38.39

t-critical value for a two-tailed test with 992 degrees of freedom at a significance level of 0.05 is 1.9624.

t-statistic (38.39) > t-critical value (1.9624)

⇒Reject the null hypothesis that there is no difference in stipend between the two fields.

standard errors

= t-statistic / √(sample size)

= 38.39 / √(479 + 521)

= 38.39 /31.62

=1.214

Therefore,  the difference in the dollar value of Assistantship (Stipend) between these two fields is 1.214 standard errors away from the hypothesized difference.

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Answer:

multiply every thing by 4 for where x is. so it is F(4)= $x4 + 12+7

Step-by-step explanation: