The standard deviations of four data sets are shown in the table below. Which
of the data sets is the most spread out?
Data set
Standard deviation
Data set A
6.06
Data set B
4.88
Data set C
5.21
Data set D
3.39
A. Data set B
B. Data set D
C. Data set C
D. Data set A

The range of the function is :

The correct option is (B) {-8, -3, 5, 7}.

We are given to find the range of the function shown in the figure.

We know that the range of a function is the set of all the elements of the co-domain which are associated to at least one of the elements of the domain.

From the given figure, we note that

Domain, D = {6, 8, 10, 12},

Co-domain , C= {-8, -3, 5, 7].

Also, the set of elements that are associated to some elements of the domain is given by

R = {-8, -3, 5, 7}.

Thus, the required range of the given function is {-8, -3, 5, 7}.

Option (B) is CORRECT.

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The correct option regarding the 95% confidence interval for this problem is given as follows:

A. The confidence interval from the first simulation is (0.187, 0.237), and the confidence interval from the second simulation is (0.209, 0.261). For the first trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.187 and 0.237. For the second trial, we are 95% confident the true proportion of wins with the new game strategy is between 0.209 and 0.261.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for the first simulation are given as follows:

\(n = 1000, \pi = \frac{212}{1000} = 0.212\)

Hence the lower bound of the interval is of:

\(0.212 - 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.187\)

The upper bound is of:

\(0.212 + 1.96\sqrt{\frac{0.212(0.788)}{1000}} = 0.237\)

For the second simulation, the parameters are given as follows:

\(n = 1000, \pi = \frac{235}{1000} = 0.235\)

Hence the lower bound of the interval is of:

\(0.235 - 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.209\)

The upper bound is of:

\(0.235 + 1.96\sqrt{\frac{0.235(0.765)}{1000}} = 0.261\)

This means that option A is the correct option.

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Approximately 78.76% of women meet the height requirement. Approximately 90.14% of men meet the new height requirement.

The US Navy requires that fighter pilots have heights between 62 inches and 78 inches. Given that information, let's answer the following questions:

(a) Find the percentage of women meeting the height requirement. If there is no information on how the height of women is distributed, let's assume that their height follows a normal distribution. The mean height for women in the US is about 64 inches with a standard deviation of about 2.5 inches. We can use the z-score formula to standardize the height to the standard normal distribution:

z = (x - µ) / σ

where x is the height, µ is the mean, and σ is the standard deviation.

For the lower bound of the height requirement, we have:

z = (62 - 64) / 2.5 = -0.8

For the upper bound, we have:

z = (78 - 64) / 2.5 = 5.6

To find the percentage of women meeting the height requirement, we need to find the area under the standard normal distribution curve between z = -0.8 and z = 5.6. We can use a table or a calculator to do this. Using a calculator, we get:

P(-0.8 ≤ z ≤ 5.6) = 0.9995 - 0.2119 = 0.7876

So, approximately 78.76% of women meet the height requirement.

(b) Find the percentage of men meeting the height requirement. Using the same reasoning, we can assume that the height of men also follows a normal distribution with mean µ = 70 inches and standard deviation σ = 2.5 inches. For the lower bound of the height requirement, we have:

z = (62 - 70) / 2.5 = -3.2

For the upper bound, we have:

z = (78 - 70) / 2.5 = 3.2

To find the percentage of men meeting the height requirement, we need to find the area under the standard normal distribution curve between z = -3.2 and z = 3.2. Using a calculator, we get:

P(-3.2 ≤ z ≤ 3.2) = 0.9982 - 0.0018 = 0.9964

So, approximately 99.64% of men meet the height requirement.

(c) If the height requirements are changed to exclude the tallest 10% of men. If the height requirements are changed to exclude the tallest 10% of men, we need to find the new cutoff height. We can use the inverse normal distribution function (also called the z-score function) to find the z-score corresponding to the 90th percentile of the standard normal distribution. Using a table or a calculator, we get: z = 1.28

This means that the height cutoff for men will be at a z-score of 1.28 above the mean. We can use the z-score formula to find this height:

x = zσ + µ = 1.28 × 2.5 + 70 = 73.2 inches

So, the new height requirement for men will be between 62 and 73.2 inches. To find the percentage of men meeting this requirement, we can repeat the steps we used in part (b), using 73.2 as the upper bound instead of 78. We get:

P(-3.2 ≤ z ≤ 1.28) = 0.9032 - 0.0018 = 0.9014

So, approximately 90.14% of men meet the new height requirement.

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Answer:

D. Volume A= Volume B

Step-by-step explanation:

rec. (A)

3×2×3.61 =21.66

cross (B)

4×3×3.61/2= 43.32/2=21.66

Volume A= Volume B

Answer:

D volume A = volume B

Step-by-step explanation:

I took the test and got it correct

The value of nickels is $76.80.

The height of each nickel is 6.25 / 100 = 0.0625 inches.

Divide 8 feet by 0.0625 inches to find that there are

8×12 / 0.0625 = 1536 nickels in an 8 ft stack.

Their value is $76.80.

Nickel is a chemical detail with the symbol Ni and atomic range 28. It is silvery-white lustrous steel with a mild golden tinge. Nickel belongs to the transition metals and is hard and ductile.

Pure nickel, powdered to maximize the reactive surface vicinity, indicates a widespread chemical interest, but large pieces are slow to react with air underneath fashionable conditions because an oxide layer paperwork at the floor stops further corrosion (passivation).

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f(x)=3x+5

f(-2)=3×(-2)+5

= -6+5

=-1

f(-1)=3×(-1)+5

=-3+5

=2

f(0)=3×0+5

=0+5

=5

f(1)=3×1+5

=3+5

=8

f(2)=3×2+5

=6+5

=11

a number divided by itself equals 1

for example:2/2=1

10/10=1 .......

hope it's helpful ❤❤❤❤❤❤❤

THANK YOU.

Answer:

1

Step-by-step explanation:

Because if you divide 1 by 1 then you get 1

Answer:

Choice A

The ratio of the rise to the run of the given triangle is \(\frac{1}{4}\)

The ratio of the rise to the run of the image triangle is \(\frac{1}{4}\)

Answer:

60 dollars

Step-by-step explanation:

75% of 80 is 60 so the answer is 60 dollars

Answer:

c

Step-by-step explanation:

And The opposite of the 54 is 1200s. That 1200 go on top and then below the hypothesis D. So Since it's opposite of hypotenuse opposite over hypotenuse, we signed 54 is 1200 over d. Here's what he says, Another way to look at this is like this 1200 Indians. This dash line drew is also 1200 And when it comes to this 54° angle, it's the same thing opposite. 1200 divided by the hypothesis of D.

Answer:

AC is 45 units

Step-by-step explanation:

Triangle ABC is a dilation of PQR. Triangle ABC is 9 times larger than Triangle PQR

Answer:

45

Step-by-step explanation:

Answer:

25,295.91

Step-by-step explanation:

304,770

1%=3047.7

0.1%=304.77

8%=24,381.6

0.3%=914.31

24,381.6+914.31=25,295.91

female viewers =25,295.91

Answer:

(x - 10)² + (y + 4)² = 121

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

here (h, k ) = (10, - 4 ) and r = 11 , then

(x - 10)² + (y - (- 4) )² = 11² , that is

(x - 10)² + (y + 4)² = 121

Answer:

33 is the correct answer

Answer:

2x+5

Step-by-step explanation:

if the number is x

∴ 5 more than twice a number is

       ll                          ll

       V                         V

       +5                        *2

So, 2*x+5

Answer:

96 Hours

Step-by-step explanation:

All you need to do is 48×2= 96 hours

Hope this Helped!

If half of the fudge machines are working, the order will only be completed in 96 hours.

Currently, four machines are able to work simultaneously to complete an order in 48 hours.

If only half of these start working, they will be able to complete the order in double the time because they would be working half as fast.

Double the time would be:

= 48 x 2

= 96 hours

In conclusion, the machines would take 96 hours to complete the order.

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Answer:

3x^2 + 3  -->  6, 15, 30, 51

2x^2 - 1    -->  1, 7, 17, 31

x^2 + 2     -->  3, 6, 11, 18

Step-by-step explanation:

Let's start with the first equation; 3x^2 + 3

Substitute 1 (the first digit in a sequence) for x.

3(1^2) + 3

3(1) + 3

3 + 3 = 6

3(2^2) + 3 Then the second digit.

3(4) + 3

12 + 3 = 15

Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.

2(1^2) - 1

2(1) - 1

2 - 1 = 1

This equation represents 1, 7, 17, 31.

These same steps apply to the other equation as well.

1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)

Answer:

e.

Step-by-step explanation:

Answer:

9/2 or 4 1/2 or 4.5

Step-by-step explanation:

4+1/2=8/2+1/2=9/2

Answer:

es 4 1/2 creo

Step-by-step explanation:brainliest plis

Answer:

-9 ≤ y ≤ 8

Step-by-step explanation:

look at the endpoints of the segment; (7, 8) and (-2, -9)

the y-values represent the range and they go from -9 to 8, inclusive

The cost of renting the car of given function is 350$.

A special kind of function called an algebraic function is the answer to a polynomial equation with polynomial coefficients. Numerous hints about an algebraic function's characteristics can be found in its informal formulation. To gain an intuitive understanding, it may be helpful to regard algebraic functions as functions which can be formed by the usual algebraic operations: addition, multiplication, division, and taking an nth root.

The function is S(x)=110+60(x-1)=50+60x, for x=number of days total/partial, rounded up to the next integer.

Day 1 $110

Day 2 $110+60=$170

So S(4.5)=S(5)

S(4.5)=$110+$240=$350

Hence, the cost of renting the car is 350$

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If there is a positive correlation between x and y in a research study, then the regression equation y = bx + a will have a positive slope.

The positive correlation between x and y indicates that as the values of x increase, the corresponding values of y also tend to increase. In the regression equation, the coefficient b represents the slope of the line, which indicates the change in y for a unit change in x. Since there is a positive correlation, the slope (b) will be positive, indicating that as x increases, y will also increase.

what is slope?

Slope refers to the measure of how steep or flat a line is. In mathematics, the slope is defined as the ratio of the vertical change (change in y-coordinates) to the horizontal change (change in x-coordinates) between two points on a line. It represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

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The terms of the expression are 5x², 9x and 6

Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.

They are also known to be made up of arithmetic operation, such as;

It is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.

They can be regrouped by the addition of  their coefficients. Like terms are those that has the same variables to the same powers or coefficients.

The types are;

5x², 9x and 6

Thus, they are 5x², 9x and 6

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Answer:

4/21 tablespoons of vanilla

Step-by-step explanation:

Let's have the ratios:

It is solved by cross multiplication as:

4/21 tablespoons of vanilla needed for 1 dozen of cookies

The correct answer is iii. 2n - c, where c is a constant.Kolmogorov complexity refers to the measure of the shortest possible description of a string in terms of computational resources required to generate it.

An incompressible string is a string that does not have any patterns or regularities that can be exploited to generate a shorter description.

For an incompressible string of length n, the Kolmogorov complexity is expected to be close to the length of the string itself. In other words, the shortest possible description of an incompressible string of length n would be of similar length to the string itself.

The option iii. 2n - c represents a bound where the constant c accounts for the details of the specific computation model used for measuring Kolmogorov complexity. It is a conservative estimate of the Kolmogorov complexity of an incompressible string, as it allows for some additional constant overhead in the description length beyond the length of the string itself.

Options i. logn - c and ii. n - c are not accurate estimations for the Kolmogorov complexity of incompressible strings. The logarithmic term in option i. is not suitable for incompressible strings because it suggests that the complexity decreases as the string length increases, which is not the case. Option ii. suggests that the complexity is simply the length of the string minus a constant, which does not account for the inherent complexity of the string itself.

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Answer:

752.884 cubic feet

Step-by-step explanation:

Brainliest?

Applying the formula, it is found that the flow rate is of 753 cubic feet per second.

The flow rate is modeled by:

\(Q = 3.367lh^{\frac{3}{2}}\)

\(Q = 3.367l\sqrt{h^3}\)

In which the parameters are:

In this problem:

Then:

\(Q = 3.367l\sqrt{h^3}\)

\(Q = 3.367(20)\sqrt{5^3}\)

\(Q = 753[/etx]

The rate is of 753 cubic feet per second.

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Answer:

50 %

Step-by-step explanation:

Temperature change for water due to sheer drop is approximately 0.7 °C when Multnomah Falls in the Columbia River has a sheer drop of 543 ft.

Given that,

Multnomah Falls in the Columbia River Gorge has a sheer drop of 543 feet.

We have to find estimate the water temperature change in °F caused by this drop using the steady flow energy equation.

We know that,

Sheer drop is z₁ - z₂ = 543 feet

We required to calculate temperature change that is ∆T caused by this drop using steady flow energy equation says SFEE.

Assuming

Adiabatic flow i.e. Q =0

No work done, i.e. W=0

Neglecting kinetic energies.

Steady flow energy equation is a mathematical expression that states that for a steady flow the net energy at the inlet of control volume is equal to the net energy at the exit of of the control volume.

SFEE is given as,

h₁ + \(\frac{(v_1)^2}{2}\) + gz₁ + Q = h₂ + \(\frac{(v_2)^2}{2}\) + gz₂ + Q -------> equation(1)

Where, h₁ and h₂ enthalpies at inlet and exit of control volume,

v₁ and v₂ are velocities at inlet and exit of control volume (kinetic energies),

z₁ and z₂ are elevation at inlet and exit of control volume (potential energies),  

Q is energy flow into the control volume and

W is work done by control volume.

Neglecting change in kinetic energies ; Q=0; W=0

Then equation (1) will be,

h₁ - h₂ = g(z₂ - z₁)

Cp(ΔT) =  g(z₂ - z₁)

ΔT = \(\frac{g(z_2-z_1)}{Cp}\)

Here,

Value of g is 32.2 feet per second square and value of Cp for water is 25100 feet

Substituting all values we get,

ΔT = \(\frac{32.2(543)}{25000}\)

ΔT = 0.69°C

ΔT = 0.7°C (approximately)

Therefore, Temperature change for water due to sheer drop is approximately 0.7 °C.

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Answer:

26.6666667

Step-by-step explanation: