Jenna and Krista are accountants who both enjoy drinking coffee. Each accountant

recorded how many cups of coffee she drank each day for the 30 days in April, then


recorded that data in the box plots shown.


Jenna generally drank more coffee each day than Krista.
Jenna generally drank more coffee each day than Krista.

Krista generally drank more coffee each day than Jenna.
Krista generally drank more coffee each day than Jenna.

Both accountants drank at least 2 cups of coffee at least half the days in April.
Both accountants drank at least 2 cups of coffee at least half the days in April.

Both accountants drank at least 3 cups of coffee at least half the days in April.
Both accountants drank at least 3 cups of coffee at least half the days in April.

Both accountants drank at least 5 cups of coffee at least half the days in April.
Both accountants drank at least 5 cups of coffee at least half the days in April.

Both accountants drank at least 6 cups of coffee at least half the days in April.

Which of the following statements are true about the data? Select all that apply.

Answer: C. -82

Step-by-step explanation:

-82 is the depth which is the farthest from sea level.

The deep ocean is generally defined as the depth at which light begins to dwindle, typically around 200 meters (656 feet).

Given that, Four deep-sea divers reported the depths they went below sea level on their last dive.

The farthest point in sea among the given options, is -82, this is because, the distance down the sea is marked as a negative, and 82 is the greatest in the options, therefore, -82 is the greatest distance.

Hence, -82 is the depth which is the farthest from sea level.

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The function f(x) = 5 - 2x equals its average value at x = 1. To find the point(s) at which the function f(x) = 5 - 2x equals its average value on the interval [0,2], we first need to determine the average value of the function on that interval.

The average value of a function f(x) on the interval [a, b] is given by:

Avg = (1 / (b - a)) * ∫[a, b] f(x) dx

In this case, the interval is [0, 2]. So, the average value of f(x) on this interval is:

Avg = (1 / (2 - 0)) * ∫[0, 2] (5 - 2x) dx

Simplifying:

Avg = (1 / 2) * ∫[0, 2] (5 - 2x) dx

Avg = (1 / 2) * [5x - x^2] evaluated from 0 to 2

Avg = (1 / 2) * [(5 * 2 - 2^2) - (5 * 0 - 0^2)]

Avg = (1 / 2) * [10 - 4 - 0]

Avg = (1 / 2) * 6

Avg = 3

The average value of the function f(x) = 5 - 2x on the interval [0, 2] is 3.

To find the point(s) at which the function equals its average value, we set f(x) equal to the average value and solve for x:

5 - 2x = 3

Subtracting 3 from both sides:

2 - 2x = 0

Adding 2x to both sides:

2 = 2x

Dividing both sides by 2:

1 = x

Therefore, the function f(x) = 5 - 2x equals its average value at x = 1.

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Answer: A = 15cm squared

Step-by-step explanation:

I think :)

Given that the base of the prism is 4 cm by 3 cm and the height is 5 cm, the volume can be calculated as:

The volume of the prism = (length x width x height)

By applying the given values:

Volume of prism = 4 cm x 3 cm x 5 cm

The volume of the prism = 60 cubic cm

That implies the volume of the rectangular prism is 60 cubic cm.

We know that the pyramid's base measures 4 by 3 cm and its height is 5 cm, the base's area may be calculated as follows:

Area of base = length x width

Area of base = 4 cm x 3 cm

Area of base = 12 square cm

The volume of the pyramid can now be calculated as:

Volume of pyramid = (area of base x height) / 3

Volume of pyramid = (12 square cm x 5 cm) / 3

The volume of the pyramid = 20 cubic cm

Therefore, the volume of the square pyramid is 20 cubic cm.

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Answer:

  1

Step-by-step explanation:

You want the standard deviation of a normal distribution.

The "standard normal distribution" is defined to have a mean of 0 and a standard deviation of 1.

__

Additional comment

The standard distribution is often shifted and scaled to have some other particular mean and standard deviation. The computation of a "Z-score" is a way to relate a value in the scaled distribution back to the characteristics of the standard normal distribution. The Z-score is the number of standard deviations a value is from the mean.

a. No, the selection of the adults is not a binomial experiment.

A binomial experiment is a statistical experiment that has a fixed number of trials and two possible outcomes, often referred to as a "success" and a "failure". In this case, the sample of adults surveyed is not a fixed number of trials, and there is no set number of successes or failures.

Rather, the survey is attempting to measure the percentage of adults who save nothing for retirement. Therefore, the selection of the adults is not a binomial experiment.

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Answer:

My guess is either d or b

Step-by-step explanation:

Cause well we need money to support what we're doing and all

And we need labour to do the work. its my guess, so it might be incorrect , i'm not sure...I'm sorry

The factor of production which includes the human made resources used to produce a good or a service is C. Capital.

Factors of production are defined as anything which helps or are needed in the process of production.

The process of production includes the combination of the inputs in to various outputs like goods or services.

The four main factors of production are Labor, Land, Capital and Entrepreneurship.

Land represents the natural resources used for the production. It includes areas like rivers, land and mines.

Labor represents the physical or mental effort that human contributes in the production.

Capital is the one which includes human-made resources used in the process like tools, wealth, and factories.

Entrepreneurship includes the person who brings all these together.

Hence the correct option is C. Capital.

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Answer:

\( x =\pm \sqrt{26}\)

Step-by-step explanation:

Given :-

And we need to find the potential solutions of it. The given equation is the logarithm of x² - 25 to the base e . e is Euler's Number here. So it can be written as ,

Equation :-

\(\implies log_e {(x^2-25)}= 0 \)

In general :-

\(\implies log_a b = c \)

Then this can be written as ,

\(\implies a^c = b \)

In a similar way we can write the given equation as ,

\(\implies e^0 = x^2 - 25 \)

\(\implies 1 = x^2 - 25 \\\\\implies x^2 = 25 + 1 \\\\\implies x^2 = 26 \\\\\implies x =\sqrt{26} \\\\\implies x = \pm \sqrt{ 26}\)

Hence the Solution of the given equation is ±√26.

Answer:

4340.

Step-by-step explanation:

14-5 = 9 and 23-14 = 9 so this is an arithmetic series with common difference of 9.

Sum of n terms = (n/2)[2a1 + d(n - 1)]

Here n = 31, d = 9 and a1 = 5.

So, substituting, we have:

Sum of 31 terms = (31/2)[2*5 + 9(31-1)]

= 15.5 * 280

= 4340.

Answer:

Step-by-step explanation:

Answer:

60 pieces

Step-by-step explanation:

What we know:

There are 12 inches in a foot

There are 5 6-feet lengths of ribbon

So, we simply need to multiply.

Since there are 12 inches in a foot, and we only need 6 inches for each one, we can see that she makes 2 pieces for each foot.

Multiply

2*6=12

She makes 12 pieces for each length of ribbon.

Now multiply it by 5

12*5= 60

She can make 60 pieces from 5 of these length of ribbon.

Hope this helps!

Answer:

FIRST NUMBER IS 20

AND

SECOND NUMBER IS 45

Step-by-step explanation:

LET THE RATIO BE X

FIRST NUMBER = 4X

SECOND NUMBER = 9X

A/Q,

=}4X - 5 / 9X - 5 = 3 / 8

CRISS CROSS,

=}8 ( 4X - 5 ) = 9X - 5 ( 3 )

=}32X - 40 = 27X - 15

=}32X - 27X = - 15 + 40

=}5X = 25

=}X = 25 / 5

=}X = 5

THEREFORE,

FIRST NUMBER

=} 4X

=} 5 × 4

=} 20

SECOND NUMBER

=} 9X

=} 5 × 9

=} 45

The probability that a person did not see the ad given that they did not purchase the game is 0.146.

Let A be the event that a person has seen the advertisement, and let B be the event that a person has not purchased the game. We are asked to find the probability P(A' | B), which is the probability that a person did not see the ad given that they did not purchase the game.

We can use Bayes' theorem to calculate this probability:

P(A' | B) = P(B | A') * P(A') / P(B)

Where

We know that 47% of the market has seen the ad, so the probability of not seeing the ad is 1 - 0.47 = 0.53. We also know that 48% of those who see the ad purchase the game, so 52% of those who see the ad do not purchase the game. Finally, we know that 86% of those who have not seen the ad have not purchased the game.

Putting all of this information together, we can calculate:

P(B | A') = 86%

P(A') = 53%

P(B) = P(B | A') * P(A') + P(B | A) * P(A) = 0.52 * 0.47 + 0.14 * 0.53 = 0.3111

Substituting these values into Bayes' theorem, we get:

P(A' | B) = (0.86 * 0.53) / 0.3111 = 0.146 (rounded to three decimal places)

Therefore, the probability that a person did not see the ad given that they did not purchase the game is 0.146.

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Answer:

D. 1.0 x 10^-3

Step-by-step explanation:

1.2 ×10^-3 = .0012

2.0 ×10^-4 = .0002

.0012

.0002

_______

.0010 = 1.0 x 10^-3

Answer:D

Step-by-step explanation:

We can say with 90% confidence that the increase in proportion of people satisfied with their financial situation is between 1.05% and 6.71%.

To calculate the confidence interval for the increase in proportion of people satisfied with their financial situation, we need to first calculate the proportions for both years:

Proportion in year 1 = 478/2038 = 0.2342
Proportion in year 2 = 537/1967 = 0.2730

The increase in proportion is:
0.2730 - 0.2342 = 0.0388

To calculate the confidence interval, we can use the formula:
CI = (point estimate ± (critical value x standard error))

The point estimate is the increase in proportion we just calculated: 0.0388

The critical value can be found using a z-table for a 90% confidence level. The z-value for a 90% confidence level is 1.645.

The standard error can be calculated using the formula:
sqrt[(p1(1-p1)/n1) + (p2(1-p2)/n2)]

where p1 and n1 are the proportion and sample size for year 1, and p2 and n2 are the proportion and sample size for year 2.

Plugging in the values, we get:
SE = sqrt[(0.2342(1-0.2342)/2038) + (0.2730(1-0.2730)/1967)] = 0.0174

Now we can plug in all the values to get the confidence interval:
CI = (0.0388 ± (1.645 x 0.0174)) = (0.0105, 0.0671)

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Answer:

( 8,11)

Step-by-step explanation:

When x = 8 the output is 7

The new function

f(x) +4

when x = 8

The output is f(8) +4= 7+4 = 11

( 8,11)

Answer:

\(\boxed{(8,11)}\)

Step-by-step explanation:

Given the point (8,7)

This means when x = 8, the output is 7 . So, f(8) = 7

So, the new function will be:

=> f(8) + 4

=> 7 + 4

=> 11

So, the corresponding point for the function f(x)+4  is ( 8, 11 )

Let's simplify the given equation step by step:

First, let's simplify the expressions inside the parentheses:

Substituting these simplified expressions back into the equation:

Next, distribute the terms on the left side of the equation:

Simplifying further:

Now, distribute the negative sign on the right side of the equation:

Rearranging the equation by bringing all the terms to one side:

Finally, solving for 'a' by dividing both sides of the equation by -33:

Therefore, the solution for 'a' that satisfies the given equation is approximately 2.1212.

Answer:

4

Step-by-step explanation:

Because it's degree is 4

Answer:

4

Step-by-step explanation:

How many roots or zeros does the equation

f(x) = 5x4-8x3+4x2-6x+3 have?

Answer = 4

Answer:

Cross section is the term name given to the front of any prism. SO, they are only found in a prism. They are recognized as the side/face that appears twice in a prism, and the shape have a visible length between these 2, known as the height

Step-by-step explanation:

Hope this helps

Answer:

7x <5x-16

Step-by-step explanation:

7x-5x < 5x -16 -5x

Answer:

sum of ratio =3+2=5

David'share=£9900x3/5=£5940

Sum of ratio for part= 4+4+2=10

for himself=£5940x4/10=£2376

for wife=£5940x4/10=£2376

for son=£5940x2/10=£1188

his wife gets over son

£2376-£1188=£1188

Answer:

1188 pounds

Step-by-step explanation:

your welcome :)

The correct response, based on the facts provided, is 625.

What does a math power mean?

When a base number is raised to an exponent in mathematics, the exponent represents how many times the base number has been multiplied, and the base amount is the factor that is multiplied by itself.

What do you call 5 to the power of?

In mathematics and mathematics, the fifth power, or subsolid, of a number, n, is obtained by multiplying five occurrences of n around each other:\(n⁵ = n × n × n × n × n.\)The fourth power of a number or the squares of a number of times its cube can also be used to create fifth powers.

5 to the fourth power (also written as 5⁴) is:

\(5 × 5 × 5 × 5 = 625\)

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Answer:

A polynomial is a combination of terms separated by

+

or

−

signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms.

Polynomial

Step-by-step explanation:

The generalized 9th degree polynomial is given below \(a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0\) where \(a_1,a_2,....a_9\) are the coefficients and \(a_{10}\) is constant. The polynomial \(x^9\) is known as the nonic equation.

Given :

Polynomial  -- \(x^9\)

The following steps can be used in order to classify the given polynomial:

Step 1 - The generalized polynomial equation is given below:

\(a_1x+a_2x^2 + a_3x^3+a_4x^4+a_5x^5+.............+a_nx^n=0\)

where \(a_1,a_2,....,a_n\) are the coefficients.

Step 2 - The generalized quadratic equation is given below:

\(ax^2+bx+c=0\)

where a, b are the coefficients and c is the constant.

Step 3 - So the generalized 9th degree polynomial is given by:

\(a_1x^9+a_2x^8+a_3x^7+a_4x^6+a_5x^5+a_6x^4+a_7x^3+a_8x^2+a_9x+a_{10}=0\)

where \(a_1,a_2,....a_9\) are the coefficients and \(a_{10}\) is constant.

The polynomial \(x^9\) is known as the nonic equation.

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Answer:

179/495

Step-by-step explanation:

x = 0.3616161..........  ---------------(I)

Multiply by 1000

1000x = 361.616161......

Multiply (I) by 10

10x = 3.616161........

1000x = 361.6161......

    10x =      3.6161........   {Now subtract}

  990x=  358

         x = 358/990

 x = 179/495

\(\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504\)

If the probability that Mary will win a game is 0.03, and loosing game is 0.97 then the excepted value of game is equals to -$1.11.

Expected Value of the game is the mean of the probability distribution of the payout values, denoted by E(X). It is equal to the sum of the products of each possible payout value and its corresponding probability, that is\(E( x) = \sum_{i } x_i p( x_i) \\\)

where, xᵢ --> payouts

p(xᵢ) --> probability for corresponding to payouts. Let's consider X be a variable denotes the payouts ( the amount the player wins for a particular outcome of the game). Here possible value of x are $60 and -$3. Now, determine probabilities corresponding to payouts.

Probability that Mary will win a game= 0.03

Probability that marry will not win a game

= 1 - 0.03 = 0.97

So, Probability distribution table is

x $60 -$3

P(x) 0.03 0.97

Now, using formula of excepted value,

E(X) = - (prize for winning game × (Probability of winning) + (Prize for loosing game)×(Probability of loosing the game or \(E( x)= \sum_{i } x_i p( x_i)\\ \) Substitute all known values

= $60× 0.03 - $3× 0.97

= $1.80 - $2.91

= -$1.11

Hence required value is -$1.11.

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Answer:

Step-by-step explanation:

Ok:

Tips: The names and definition of shapes are arleady identified so just match them

1. The figure is a trapezoid since it has one parallel side.

2. The figure is a square since it is a side with four equal lengthed sides.

3. The figure is a rectangle since it has 2 sets of parallel sides with two same length and width

4. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

5. Parallelogram. Since it has four sides and and two are different lengths.

6. Rhombus. Since all sides are parallel to each other and width and length are the same.

7. Irregular Quardrileteral since it arleady looks irregular and four sides are all different lengths and widths!

8. Rectangle since it has 2 sets of parallel sides with two same length and width

9. Parallelogram. Since it has four sides and and two are different lengths.

There are p × (p − 1) × (p − 2) ×... × (p − n + 1) one-to-one functions from x to y and There are 2^(n^2 - n) reflexive relations on x.

(a) Calculation of the number of one-to-one functions from x to y :

Given, x and y are finite sets, with |x|= n, |y |= p.

A function is one-to-one if it maps distinct elements of x into distinct elements of y.

The first element of x can be mapped in p ways, the second element of x can be mapped in p − 1 ways (since we already used one element), and so on, until the nth element of x is mapped.

The number of one-to-one functions from x to y is, therefore,p × (p − 1) × (p − 2) ×... × (p − n + 1).

Hence, there are p × (p − 1) × (p − 2) ×... × (p − n + 1) one-to-one functions from x to y.

(b) Calculation of the number of reflexive relations on x:

A relation R on a set X is said to be reflexive if (a, a) ∈ R for every a ∈ X.

In our case, the relation R is a reflexive relation on x.

So we are looking for the number of reflexive relations on x.

We will think of R as a subset of the Cartesian product X × X.

We first select n elements of X and put each of them in relation with itself. That is, we include the pair (a, a) for each a ∈ X.

We now have (n² − n) pairs to place in any of the remaining elements of X × X.

We can choose any number of the remaining pairs, from zero to n² − n, and place them in the remaining positions.

So, the number of reflexive relations on x is equal to 2^(n^2 - n).

Therefore, there are 2^(n^2 - n) reflexive relations on x.

Answer: (a) p × (p − 1) × (p − 2) ×... × (p − n + 1)

             (b) 2^(n^2 - n).

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The number of blips in exactly one konk is 3 blips. found by using conversion factor.

we can use the given conversion factors:

- 28 konks = 1 foop

- 12 foops = 1 zark

- 1 zark = 20 neek

- 1 neek = 50 blips

To convert from konks to blips, we can follow this conversion chain:

1 konk -> (convert to foops) -> (convert to zarks) -> (convert to neeks) -> (convert to blips)

1 konk is equivalent to (28 konks/1 foop) * (12 foops/1 zark) * (1 zark/20 neeks) * (50 blips/1 neek) = 3 blips.

A conversion factor is a numerical ratio that represents the relationship between two different units of measurement, allowing for the conversion between them. It is used to multiply or divide a quantity to convert it from one unit to another. Conversion factors are derived from equivalences between different units and provide a way to express the same quantity in different units of measurement.

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