The boxplot below represents the amount of time 20 gym members spent exercising in a
week.
AMOUNT OF TIME EXERCISING
AT THE GYM
H
90 140
250
400
Time (minutes)
What is the interquartile range of the data?
630

Answer:

length= 19cm

width= 9.1cm

Step-by-step explanation:

Answer:

[tex]\frac{11}{3}[/tex]

Step-by-step explanation:

2[tex]\frac{1}{5}[/tex] ÷ [tex]\frac{3}{5}[/tex]

2 1/5 = 11/5

[tex]\frac{11}{5}[/tex] ÷ [tex]\frac{3}{5}[/tex] = [tex]\frac{11}{5}[/tex] · [tex]\frac{5}{3}[/tex] = [tex]\frac{55}{15}[/tex] = [tex]\frac{11}{3}[/tex]

So, the answer is  [tex]\frac{11}{3}[/tex]

We are 95% certain that the average hourly earnings for waitresses in Iowa City

Based on the given data, the sample mean hourly earnings of waiters in Weston, West Virginia is x = 17.1 dollars. The standard deviation of the hourly earnings is given as $4.50. We can use this information to estimate the mean hourly earnings for all waitresses in Iowa City with 95% confidence.

To do this, we use the formula for the confidence interval:

CI = x ± t*(s/√n)

where CI is the confidence interval, x is the sample mean, t is the t-value from the t-distribution with (n-1) degrees of freedom and a confidence level of 95%, s is the sample standard deviation, and n is the sample size.

Using the given data, we have:

x = 17.1
s = $4.50
n = 10

To find the t-value, we look up the value in a t-table with (10-1) = 9 degrees of freedom and a confidence level of 95%. The t-value is 2.262.

Plugging in the values, we get:

CI = 17.1 ± 2.262*($4.50/√10)
CI = 17.1 ± $3.76
CI = ($13.34, $20.86)

Interpretation:

We can interpret this confidence interval as follows: if we were to take many random samples of 10 waiters in Weston, West Virginia, and calculate a confidence interval for each sample, we would expect that 95% of these intervals would contain the true mean hourly earnings for all waitresses in Iowa City. Based on this particular sample of 10 waiters, we are 95% confident that the true mean hourly earnings for all waitresses in Iowa City lies between $13.34 and $20.86.
To estimate the mean hourly earnings with 95% confidence for all waitresses in Iowa City, we will use the sample data from Weston, West Virginia, and assume that the standard deviation is the same in both locations.

Given the mean (x) of the sample is 17.1, and the sample size (n) is 10, with a standard deviation (σ) of $4.50, we can calculate the margin of error for the 95% confidence interval using the formula:

Margin of Error = (Z * σ) / square root n

For a 95% confidence interval, the Z-score is 1.96.

Margin of Error = (1.96 * 4.50) / square root 10 = 2.775

Now, we can calculate the confidence interval:

Lower Bound = x - Margin of Error = 17.1 - 2.775 = 14.325
Upper Bound = x + Margin of Error = 17.1 + 2.775 = 19.875

We can conclude with 95% confidence that the mean hourly earnings for all waitresses in Iowa City fall within the range of $14.325 to $19.875. This means that we are 95% certain that the average hourly earnings for waitresses in Iowa City, including tips, is between these values.

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Here the concept Pythagoras theorem is used here to prove that the square of hypotenuse is the sum of square of the base and altitude. It is an important topic in Maths which explains the relation between the sides of a right-angled triangle.

Pythagoras theorem states that ''In a right angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides. The sides of this triangle have been named perpendicular base and hypotenuse.

Here Hypotenuse is the longest side as it is opposite to the angle 90°. The formula of Pythagoras theorem is:

Hypotenuse² = Perpendicular² + Base²

In triangle STU, Pythagoras theorem is applied.

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Answer:

if you mean graph here's the answer

Root (2 , 0)

Domain x

Range y€ { - infinite , 0 }

Maximum (2 , 0)

Vertical intercept (0 , -12)

Step-by-step explanation:

if anything otherwise I don't know, sorry

The quantity of tomatoes in ounces Amanda picks each day as required to be determined on the task content is; 1.5 ounces.

It follows from the task content that Amanda grows tomatoes in pots on the rooftop of her building in which case, after 2 days, she picked a total amount of 3 pounds of tomatoes.

Since the same amount of tomatoes is picked each day;

The unit rate which represents the ounces of tomatoes she picked each day is; 3/2 = 1.5 ounces per day.

Ultimately, the number of ounces of tomatoes she picks each day is; 1.5 ounces.

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The average of the points A, B and C with weights 1, 1 and 1

respectively is: (-5/3, -2)

A technique known as a weighted average accounts for the varied levels of significance of the values in a data collection. Each number in the data set is multiplied by a predefined weight before the final computation is completed when calculating a weighted average.

Thus:

Weighted average = [(w₁ × x₁) + (w₂ × x₂) + (w₃ × x₃)]/(w₁ + w₂ + w₃)

Where:

w_i is the weight of the ith point

x_i is the coordinate of the ith point.

Thus:

x-coordinate = [(1 × -4) + (1 × 6) + (1 × -7)]/(1 + 1 + 1)

x-coordinate = -5/3

y-coordinate = [(1 × -5) + (1 × 6) + (1 × -7)]/(1 + 1 + 1)

y-coordinate = -2

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The expected value of the distribution is 0.84, which means that on average, a randomly chosen family household in the US in 2016 had 0.84 related children under the age of 18.

To find the expected value of this distribution, we need to multiply each possible number of children by its corresponding probability, and then add up the products. Since the table includes the category "4" to represent "four or more" children, but we're assuming it means exactly four children, we need to adjust the probability for the "4" category.

We can do this by subtracting the total probability of all the other categories from 1, since the probabilities must add up to 1

P(4) = 0.02 - 0.58 - 0.18 - 0.16 - 0.06 = 0.04

Now we can calculate the expected value

E(X) = (0)(0.58) + (1)(0.18) + (2)(0.16) + (3)(0.06) + (4)(0.04)

= 0 + 0.18 + 0.32 + 0.18 + 0.16

= 0.84

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The smoking during pregnancy is related with the "pre-mature" births of the child, and the 95% confidence interval to estimate length of pregnancy for smoker women is (258.49, 263.51) days.

The "Confidence-Interval" is defined as a range of values which is likely to contain the "true-value" of a population parameter based on a sample of data. It is a measure of the precision of the estimate.

Yes, the smoking during pregnancy has been associated with premature births in previous research.

To find the 95% confidence interval to estimate the length of pregnancy for women who smoke, we can use the formula:

⇒ Confidence Interval = x' ± [tex]z_{c}[/tex] × (σ/√n),

where, x' is = sample mean = 261 days, [tex]z_{c}[/tex] is = critical z-value = 1.96,

⇒ σ is = population standard deviation = 15 days, and

⇒ n is = sample size = 137,

Substituting the values in Confidence Interval Formula,

We get,

⇒ Confidence Interval = 261 ± 1.96 × (15/√137),

⇒ Confidence Interval = 261 ± 2.51,

⇒ Confidence Interval = (258.49, 263.51),

Therefore, the 95% confidence interval to estimate the length of pregnancy for women who smoke is (258.49, 263.51) days.

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Based on the results of the test, either reject or fail to reject the null hypothesis.

Based on the given information, the hypothesis test that can be used to determine whether there has been an increase in the proportion of rooms occupied over the one-year period can be formulated as follows:

Null hypothesis (H0): There is no significant increase in the proportion of rooms occupied over the one-year period.

Alternative hypothesis (Ha): There is a significant increase in the proportion of rooms occupied over the one-year period.

To test this hypothesis, we can use a one-sample proportion test. We can calculate the proportion of rooms occupied in February for each year and then compare the difference in proportions using a confidence interval or a hypothesis test.

If the calculated p-value is less than the level of significance (usually set at 0.05), we can reject the null hypothesis and conclude that there is a significant increase in the proportion of rooms occupied over the one-year period. On the other hand, if the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that there is no significant increase in the proportion of rooms occupied over the one-year period.

It is important to note that other factors such as content loaded tourism, seasonality, and external events can also impact hotel occupancy data. Therefore, it is essential to consider these factors when analyzing hotel occupancy data and making conclusions about the tourism industry.
Hi! To formulate a hypothesis test to determine if there has been an increase in the proportion of rooms occupied in Florida over a one-year period using the given terms, follow these steps:

1. Define the null hypothesis (H0): There is no significant increase in hotel occupancy between the two consecutive years.

2. Define the alternative hypothesis (H1): There is a significant increase in hotel occupancy between the two consecutive years.

3. Collect hotel occupancy data for February in two consecutive years, specifically focusing on "content loaded tourism," which refers to the experiences and attractions that draw visitors to the area.

4. Analyze the occupancy data and compare the proportions of rooms occupied in both years.

5. Perform a statistical test, such as a Z-test or a Chi-square test, to determine if there is a significant difference between the proportions.

6. Based on the results of the test, either reject or fail to reject the null hypothesis.

If you reject the null hypothesis, it would indicate that there has been a significant increase in hotel occupancy over the one-year period in Florida's tourism industry. If you fail to reject the null hypothesis, it means there is not enough evidence to support a significant increase in occupancy.

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the answer is 8 ddddddddddddddddddddddddddd

42.7

Step-by-step explanation:

V=1/3base area×height

1/3(4×4)×8

5.333×8

42.7

Answer:

v-at/m

Step-by-step explanation:

v=mu+at

change of subject of the formula

mu=v-at

u=v-at/m

We are given the expression for the velocity of a moving vehicle, [tex]v=mu+at[/tex] and asked to rewrite the expression in terms of "u."

To complete this, we simply need to use our knowledge of algebra.

[tex]\Longrightarrow v=mu+at[/tex]

[tex]\Longrightarrow v-at=mu\\[/tex] - Subtracted "at" from both sides of the equation

[tex]\Longrightarrow \frac{v-at}{m} =u\\[/tex] - Divided both sides by "m"

[tex]\Longrightarrow \boxed{u=\frac{v-at}{m} \\} \therefore Sol.[/tex]

Answer:

Step-by-step explanation:

Answer:12

Step-by-step explanation:

12

well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}[/tex]

now, let's apply the 5% taxation to that

[tex]\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}[/tex]

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60

       

Answer: One angle is 27 degrees and the other is 63 degrees.

Step-by-step explanation:

Use the equation:

x + x + 36 = 90

2x + 36 = 90

     - 36   -36

-------------------------

2x = 54

/2     /2

---------------

x = 27

If x is 27, that is the measure of one angle.

Than 27 + 36 which is 63 is the measure of the other angle because this is 36 more than the previous angle.

The area of the pentagon is given by A = 688.19 mm²

Given data ,

Let the area of the pentagon be represented as A

Now , the value of A is

Let the side length of the pentagon be a

where A = ( 1/4 )√5 ( 5 + 2√5 ) a²

On simplifying , we get

A = ( 1/4 ) √5 ( 5 + 2√5 )( 20 )²

On further simplification , we get

A = 688.19096 mm²

Hence , the area is A = 688.19 mm²

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Mary needs to pay a total of 483.09 pounds per month for her National Insurance contribution at a rate of 12.5% and her pension contribution at a rate of 3.4%.

To calculate Mary's National Insurance contribution, we can use the following formula

National Insurance Contribution = (Salary × Rate) / 12

where Rate is the percentage rate for National Insurance.

Substituting the values given in the problem, we get

National Insurance Contribution = (34833.33 × 12.5%) / 12

= 364.59 pounds per month

To calculate Mary's pension contribution, we can use the following formula

Pension Contribution = (Salary × Rate) / 100

where Rate is the percentage rate for pension contribution.

Substituting the values given in the problem, we get

Pension Contribution = (34833.33 × 3.4%) / 100

= 118.50 pounds per month

Therefore, Mary needs to pay a total of 364.59 + 118.50 = 483.09 pounds per month.

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To find the length of the loop of the given curve, we need to use the formula for arc length: L = ∫√(dx/dt)² + (dy/dt)² dt.

where dx/dt and dy/dt are the derivatives of x and y with respect to t.
In this case, we have:

dx/dt = 12 - 12t²
dy/dt = 24t

Therefore,
(dx/dt)² + (dy/dt)² = (12 - 12t²)² + (24t)² = 144t⁴ - 96t² + 144
and √(dx/dt)² + (dy/dt)² = √(144t⁴ - 96t² + 144)
The loop of the curve occurs when y = 0, which implies 12t² = 0, i.e., t = 0.

So, we need to integrate from t = 0 to t = 2: L = ∫₀² √(144t⁴ - 96t² + 144) dt
This integral can be quite difficult to solve analytically, so we can use numerical methods to approximate the value of L. Using a numerical integration tool, we get: L ≈ 33.14

Therefore, the length of the loop of the given curve is approximately 33.14 units.

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The standard enthalpy of reaction for the given chemical reaction is -188.42 kJ/mol.

To calculate the standard enthalpy of reaction for the given chemical reaction, we need to use the standard enthalpies of formation for the reactants and products.

First, we need to write the balanced chemical equation for the reaction:

2Na(s) + 2H₂O(l) → 2NaOH(aq) + H₂(g)

However, we need to account for the stoichiometry of the reaction by multiplying each standard enthalpy of formation by the corresponding stoichiometric coefficient in the balanced equation.

ΔH°f(NaOH) = -470.11 kJ/mol x 2 = -940.22 kJ/mol

ΔH°f(H₂O) = -285.8 kJ/mol x 2 = -571.6 kJ/mol

The standard enthalpy of formation for Na(s) and H₂(g) are both zero, as they are in their standard states.

Now, we can use the standard enthalpies of formation to calculate the standard enthalpy of reaction using Hess's law. Hess's law states that the enthalpy change for a reaction is the same regardless of the route taken from reactants to products, provided that the initial and final conditions are the same.

ΔH°rxn = ΣΔH°f(products) - ΣΔH°f(reactants)

ΔH°rxn = [2ΔH°f(NaOH) + ΔH°f(H₂)] - [2ΔH°f(H₂O) + 0]

ΔH°rxn = [2(-940.22 kJ/mol) + 0 kJ/mol] - [2(-571.6 kJ/mol) + 0 kJ/mol]

ΔH°rxn = -188.42 kJ/mol

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'A study that compares standardized test scores before and after a course is taken' is  most likely to be dependent samples.

The most likely dependent samples are those in which the measurements are taken from the same individual or group of individuals in different conditions. Based on this, the answer is:

'a study that compares standardized test scores before and after a course is taken'

In this case, the same individuals are being measured twice (before and after taking the course), and their scores are being compared. The scores are dependent because they are being measured from the same individuals in both conditions.

The other options are less likely to involve dependent samples:

a) In comparing wait times at two different emergency rooms, the measurements are independent because they are taken from different individuals at different locations.

b) In comparing salaries earned by men and women in the same job position, the measurements are independent because they are taken from different individuals.

c) In comparing weight gain for puppies who eat two different brands of food, the measurements are independent because they are taken from different individuals (puppies) who are being exposed to different conditions (different brands of food).

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Step-by-step explanation:

FV = PV ( 1 + i)^n     FV = future value      PV = present value ( 150)

                                  i = decimal interest per period (.067)

                                  n = periods = 5

FV = 150 ( 1 + .067)^5   = $ 207.45

The Matrix represents combined points scored per quarter for the first 4 games

A + B =  [ 6  3  2  3

              28 32 7 13

              17  37 18 17

              23 0 44 24]

We have two Matrix as

A = [ 6  0  13  3

       21  18 0  7

       14  28 6  0

       0   0  35  7 ]

and, B = [ 0  3  9  0

                7  14  7  6

                3  9  12  17

                23 0 9   7 ]

As, Only when the given matrices are in the same order may matrices be added. By order, we mean that the matrices have the same amount of rows and columns.

So, the Matrix represents combined points scored per quarter for the first 4 games

A + B =  [ 6  3  2  3

              28 32 7 13

              17  37 18 17

              23 0 44 24]

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For the function transformation form of f(x), [tex]g(x) = a f(\frac{1}{b} x - h) + k [/tex], we are replacing variable a by 2, result will in the transformation displayed in the above graph. So, option(d) is right one.

A transformation is an another way to a parent function's graph. There are serval formulas for distinct rules of transformation. If consider transformation function of f(x) is g(x) = f(x - h) + k,

We have a function f(x) = 2cos(x), that is cosine function and g(x) is it's transform function. Here, [tex]g(x) = a f(\frac{1}{b} x - h) + k [/tex], now see the graph carefully.

Thus, for g(x) in above graph, there are no horizontal and vertical translation. So, h = k = 0. Also, the graphs are not reflected on both axes. However, notice that the graph of g(x) is just the vertical stretched version of f(x). The values of g(x) are twice that of f(x). Therefore, the factor a must be twice, a = 2. Hence, we replace a by 2.

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Complete question:

The above graph of shows f(x) = 2cos(x) and transform g(x). For the transformation rule in the form , g(x) = a f( 1/b x - h) + k

replacing which variable with what number will result in the transformation displayed in the graph?

a) b is replacing by 1/2

b) k is replacing by -1/2

c) h is replacing by -2

d) a is replacing by 2

Answer:

List 3 is the correct sample space.

The feet of chicken wire needed by Kaitlin would be 95 feet.

The total to be spent on chicken wire would be $ 123. 50.

The feet length would be the circumference of the circular vegetable garden which would be :

= π x diameter

The feet length is:

= π x 30

= 94. 25 feet

= 95 Feet

This then means that the cost of the chicken wire would be ;

= 95 x 1. 30 per foot

= $ 123. 50

In conclusion, the cost of the chicken wire would be $ 123. 50.

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A concave hexagon with 2 pairs of congruent sides is a shape that has six sides and two pairs of sides that are of equal length, but the shape curves inward at one or more angles, creating a concave indentation.

A hexagon is a six-sided polygon, and when two pairs of its sides are congruent,

it means that four of its sides have the same length, if the shape curves inward at one or more angles,

it creates a concave hexagon, which means that the indentation on the shape is facing inward, rather than outward, a concave hexagon with 2 pairs of congruent sides is a six-sided polygon with four sides of equal length, but with a curvature that creates an inward indentation.

Hence, a concave hexagon with 2 pairs of congruent sides is a six-sided figure with an indentation and two sets of sides with equal lengths.

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The value of angle CDE is 140 degrees

The formula used for calculating the sum of the angles in a polygon is;

(n -2)180

where n is the number of sides of the polygon

Then, we have;

(6-2)180 = 720 degrees

From the information given, we have that;

Angle CDE = 2(DEF)

Substitute the values

115 + 145 + 90 + 160 + DEF + 2DEF = 720

Now, add the values, we get;

DEF + 2DEF + 510 = 720

collect the like terms

3DEF = 210

Divide by the coefficient

<DEF = 70

Then, angle CDE = 140 degrees

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Answer:

h

Step-by-step explanation:

Answer: H

Step-by-step explanation:

5 packs with 300 each. Each weigh 9.9x[tex]10^{-3}[/tex]

multiply all the numbers

you get

=14850    x[tex]10^{-3}[/tex]     the x[tex]10^{-3}[/tex] means move decimal left 3 places.

=14.85 lbs

H