The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 33 33 hours and the median is 29.2 29.2 hours. Twenty-four of the families in the sample turned on the television for 18 18 hours or less for the week. The 16th percentile of the data is 18 18 hoursApproximately how many families are in the sample?

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

aggregate attempting to determine the whole amount, time, or quantity. The amount at issue or under investigation is very active. the overall outcome, significance, or import. a third accounting, the principal, and the interest. There are word forms for quantities, amounting, and amounted. adaptable noun A thing's quantity is how much of it there is, that however much someone have, the amount you require or how much you can get. He needs that much money to make ends meet.

given

You can use a fraction to express the percentage 20%.

This is inferred from the fact that the sign for percentage,% means to divide by 100.

Therefore, it is important to understand that 20% equals 20/100, or 1/5.

As a result, the 20% tip represents one-fifth of the total.

Noting that the tip is one among the total sum charged on the bill is the best strategy for computing the required 20% tip using fractions.

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Answer:

\(\huge\boxed{\sf 5.6 \ miles}\)

Step-by-step explanation:

Given that,

Rachel runs 7 miles in 80 minutes.

80 minutes = 7 miles

Using unitary method

Divide 80 to both sides

1 minute = 7/80 miles

1 minute = 0.0875 miles

Multiply 64 to both sides

64 minutes = 0.0875 × 64 miles

64 minutes = 5.6 miles

So, Rachel will run 5.6 miles in 64 minutes.

\(\rule[225]{225}{2}\)

There is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

To determine whether there is enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes, we can conduct a one-sample t-test with the following hypotheses:

Null hypothesis: The true mean time in changing a muffler is equal to 13 minutes.

Alternative hypothesis: The true mean time in changing a muffler is less than 13 minutes.

Use the formula to calculate the test statistic,

\(t = \dfrac{(x - \mu)} { \dfrac{s} { \sqrt{n}}}\)

where x is the sample mean, μ is the hypothesized population mean (13 minutes), s is the sample standard deviation, and n is the sample size (6).

Plugging in the numbers, we get:

t = (12.3 - 13) / (2.3 / √6) = -0.72

Using a t-distribution table with 5 degrees of freedom (n - 1), we find that the critical value for a one-tailed test with α = 0.05 is -2.571. Since our calculated t-value (-0.72) is greater than the critical value, we fail to reject the null hypothesis.

Therefore, there is not enough evidence to conclude that the mean time in changing a muffler is less than 13 minutes.

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The ratio of the number of occupied seats to the total number of seats is 3:5.

Given that there are 15 occupied seats and 10 seats are empty on a bus. We need to determine the ratio of the number of occupied seats to the total number of seats.

To find the ratio of the number of occupied seats to the total number of seats, we need to add the number of occupied seats and the number of empty seats. The total number of seats is the sum of occupied seats and empty seats.

Total number of seats = 15 (occupied seats) + 10 (empty seats)
Total number of seats = 25

Therefore, the ratio of the number of occupied seats to the total number of seats is:

15 (occupied seats) / 25 (total number of seats)

We can simplify this ratio by dividing both the numerator and denominator by 5:

15 ÷ 5 / 25 ÷ 5
3 / 5
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Answer is y= -3/2x-15 the first one

Answer:

27 is 80% of 33.75

Step-by-step explanation:

c)there are not interval in which the function is constant

Explanation

Step 1

The interval is increasing if the value of the function f(x) increases with an increase in the value of x and it is decreasing if f(x) decreases with a decrease in x

so,let's check the graph

so, we can see the function is increasing starting at zero,so

and

b) decreasing

when a function is constant , the graph is a horizontal line, we can't see any horizontal line in eh graph, so we can conclude

there are not intervals in which the function is constant

I hope this helps you

a ) Construction of stem and leaf display of the data is:

For n = 129 and with splint unit = 0.1, the stem and splint map of the given data on Shower- inflow rate( L/ min) is as follows

a stem-and-leaf display of the data.

   Stems                                                Leaves

       2                                                       28

       3                                                1344567789

       4                                                 01356889

       5                                          00001114455666789

       6                              0000122223344456667789999

       7                                     00012233455555668

       8                                                02233448

       9                                         012233335666788

      10                                             2344455688

      11                                                2335999

      12                                                     17

      13                                                      9

      14                                                     36

      15                                                  0035

      16                                                  None

      17                                                  None

      18                                                     3

b) From brume and splint map we note that minimal Shower inflow rate is2.2 whereas outside is18.3 L/ mim. farther typical or representative rate is7.0 L/min.

c) The display of data on steam and leaf chart shows that data is positively skewed means concentration of data on left side or lower value side is high as compared to other side.

d) Distribution is not symmetric rather very clear positive skew ness is observed through steam and leaf chart. Even distribution is Unimodal.

e) From steam and leaf chart is indicative to conclude that the highest observation 18.3 is outlier.

A stem and splint plot, also known as a stem and splint illustration, is a way to arrange data so that it's simple to see how constantly colorful feathers of values do. It's a graph that displays ordered numerical data. A stem and a splint are divided into each piece of data.

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Complete question:

The accompanying data set consists of observations on shower-flow rate (L/min) for a sample of n = 129 houses:

4.6 12.1 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.1

11.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.5

7.5 6.2 5.8 2.8 3.4 10.4 9.8 6.6 3.7 6.4

8.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.9 6.2

5.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.3

7.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.3 7.2

5.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.2

8.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.7

5.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.6

10.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.6

7.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.3

9.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.2

8.3 3.1 4.9 5.0 6.0 8.2 6.3 3.8 6.0

(a) Construct a stem-and-leaf display of the data. (Enter numbers from smallest to largest separated by spaces. Enter NONE for stems with no values.)

Stems Leaves

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

(b) What is a typical, or representative, flow rate?

L/min

(c) Does the display appear to be highly concentrated or spread out?

highly concentrated, except for a few values on the positive sidehighly concentrated in the middle highly concentrated, except for a few values on the negative sidespread out

(d) Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?

Yes, the distribution appears to be reasonably symmetric.No, the data are skewed to the right, or positively skewed. No, the data are skewed to the left, or negatively skewed.No, the distribution of the values appears to be bimodal.

(e) Would you describe any observation as being far from the rest of the data (an outlier)?

Yes, the value 2.2 appears to be an outlier.Yes, the value 15.5 appears to be an outlier. Yes, the value 18.3 appears to be an outlier.No, none of the observations appear to be an outlier.

Answer:

Two of the sides are 25cm and the other two sides are 35cm.

Step-by-step explanation:

The perimeter is the distance all the way around the shape.

The shape is a parallelogram, so two sides across from each other are the same length. And the other two sides are also the same as each other. See image.

The shorter sides can be labelled x and the longer sides can be labelled x + 10. This is because the question said the long side is 10cm more than the short side.

see image.

Add up all the sides to make them equal to the perimeter. Set it equal to 120. See image.

Solve for x.

x + x+10 + x + x+10 = 120

4x + 20 = 120

Subtract 20.

4x = 100

Divide by 4.

x = 25

The short sides are 25cm and the long sides are 35cm.

Check:

25+35+25+35=

120 Check!

Answer:

Step-by-step explanation:

Thomas has 300 leaves and after (t) minutes will have:

Lucas has 250 leaves and after (t) minutes will have:

Required equation is:

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

$33.33

Step-by-step explanation:

9--->12.50

24---->y

y=12.50x24/9

y=33.33

If the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

The first quartile (Q1) of the ages of the 256 employees of CCNHS – Main Campus being 39 years old implies that 25% of the employees have an age equal to or less than 39 years old.

In statistical terms, the first quartile represents the point below which 25% of the data falls. It divides the data set into four equal parts, with each part containing 25% of the data. Therefore, if the first quartile is 39 years old, it means that approximately one-fourth of the employees at CCNHS – Main Campus are 39 years old or younger.

This information provides insight into the age distribution of the employees at the institution. It indicates that a significant portion of the employees are relatively young, with a quarter of them falling below the age of 39. Understanding the age demographics of the workforce can be useful for various purposes, such as planning professional development programs or implementing age-specific policies.

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Answer:

Step-by-step explanation:

8.008.009

Answer:

8

Step-by-step explanation:

24/3 =8

where 8miles = 1hour

The radius of the diameter X is 6cm. Option D

To determine the radius of the circle, we have;

It is important to that the formula for diameter

The formula for calculating the diameter is given as;

d = r/2

Such that the parameters are given as;

From the information given, we have that;

Diameter, d = 12cm

Now, we have to substitute the values

Radius =diameter/2

Radius = 12/2

Radius = 6cm

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Thanks for the update. "Irrotational" means curl = zero, so we compute the curl, set it equal to zero, and solve for the constants.

\(\vec f(x,y,z) = (axy+z^3) \, \vec\imath + (3x^2-z) \, \vec\jmath + (bz^2-y) \, \vec k\)

\(\nabla \times \vec f(x,y,z) = \left(\dfrac{\partial(bz^2-y)}{\partial y} - \dfrac{\partial(3x^2-z)}{\partial z}\right) \, \vec\imath - \left(\dfrac{\partial(bz^2-y)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial z}\right) \, \vec\jmath \\ ~~~~~~~~~~~~ + \left(\dfrac{\partial(3x^2-z)}{\partial x} - \dfrac{\partial(axy+z^3)}{\partial y}\right) \, \vec k\)

\(\nabla \times \vec f(x,y,z) = 3z^2 \, \vec\jmath + (6-a)x \, \vec k\)

At this point, all we can conclude is that a = 6 to make the k-component vanish. Unfortunately there's no zeroing out the j-component, so the field as given is *not* irrotational.

As I mentioned in comments, if the i-component had instead been \(axy+bz^3\), we would have ended up with

\(\nabla \times \vec f(x,y,z) = 3bz^2 \, \vec\jmath + (6-a)x \, \vec k\)

in which case we would have b = 0.

I'll continue working with this "fixed" field to find Φ, if only to give you an idea of how to proceed. We want a scalar function Φ(x, y, z) such that the given vector field is the gradient of f. This would entail solving the partial differential equations,

\(\dfrac{\partial\Phi}{\partial x} = axy+bz^3 = 6xy\)

\(\dfrac{\partial\Phi}{\partial y} = 3x^2 - z\)

\(\dfrac{\partial\Phi}{\partial z} = bz^2-y = -y\)

Let's start with the last equation. Integrating both sides with respect to z yields

\(\Phi(x,y,z) = \displaystyle \int (-y) \, dz = -yz + g(x,y)\)

Now differentiate both sides with respect to y :

\(\dfrac{\partial\Phi}{\partial y} = -z + \dfrac{\partial g}{\partial y} = 3x^2 - z \implies \dfrac{\partial g}{\partial y} = 3x^2\)

Integrate both sides of the latter PDE with respect to y to solve for g :

\(g(x,y) = \displaystyle \int 3x^2 \, dy = 3x^2y + h(x)\)

Now we differentiate Φ with respect to x :

\(\Phi(x,y,z) = -yz + 3x^2y + h(x) \\\\ \dfrac{\partial\Phi}{\partial x} = 6xy + \dfrac{dh}{dx} = 6xy \implies \dfrac{dh}{dx} = 0\)

Integrate to solve for h :

\(h(x) = \displaystyle \int 0 \, dx = C\)

where C is an arbitrary constant.

So the scalar function whose gradient is our "fixed" field f is

\(\Phi(x,y,z) = -yz + 3x^2y + C\)

We can conclude that the division property of equality was done between step 4 and step 5.

What is linear equation ?

Linear equation can be defined as the equation in which the highest degree is one.

The Division Property of Equality states that when both sides of an equation are divided by the same nonzero number, both sides remain equal.

That is, if a, b, and c are real numbers such that a = b and c ≠0, then  

a/c = b/c

At step 4: The equation was -6x = 57

To move to step 5, Paula had to divide both sides by the co-efficient of x (-6) in order to get the value of x. See below

-6x = 57

---- Divide both sides by -6 (Step 4)

-6x / -6  = 57 / -6

---- (Intermediary between step 4 and 5)

x = -9.5

----- Step 5

Hence, we can conclude that the division property of equality was done between step 4 and step 5

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Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer....

= 180 - (112 + 47)

= 180 - 159

= 21

Hope it helps you,

Mark me as the brainliest.....

Follow me! :)

The area of the circle is 95 m² when the diameter of the circle is 11cm with the formula A=πr².

Given that,

The diameter of the circle is 11cm.

The area of the circle is what.

We know that,

A circle's area is the area that it takes up in a two-dimensional plane. As an alternative, the area of a circle is the area included within the circle's perimeter. The formula for a circle's area is A = πr², where r is the circle's radius.

So,

A=πr²

Here r is radius that is diameter divided by 2.

r=11/2

So,

A=π(11/2)²

A=3.14(121/4)

A=3.14×30.25

A=94.985

Therefore, The area of the circle is 95 m² when the diameter of the circle is 11cm with the formula A=πr².

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Explanation

We are given the following:

We are required to solve the simultaneous equation given using substitution method.

This can be achieved as follows:

Now, we get the value of x as follows:

Hence, the answer is:

Answer:

y=-2x+4

Step-by-step explanation:

slope is -2

y-intercept is +4

slope intercept form is y=mx+b

slope foes where m is and y-intercept goes where b is

Explanation:

The various theorems involved include ...

For the purpose here, we wll use the notation D.1 to refer to the angle labeled "1" at vertex D.

The argument goes something like the following.

__

∠D.1 +∠R +∠S.1 = 180° . . . . angle sum theorem

∠S.1 +∠S.2 +∠S.3 +∠S.4 = 180° . . . . angle addition postulate (∠RSW is a straight angle, equal to 180°)

∠D.1 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitution property

∠D.1 = ∠S.2 . . . . alternate interior angles theorem

∠S.2 +∠R +∠S.1 = ∠S.1 +∠S.2 +∠S.3 +∠S.4 . . . . substitute for ∠D.1

∠R = ∠S.3 +∠S.4 . . . . subtraction property (subtract ∠S.1 +∠S.2)

∠R = ∠S.3 +∠S.2 . . . . substitute ∠S.2 for equal ∠S.4 (given)

∠R = arc DS/2 . . . . inscribed angle is half the arc measure

∠TSD = ∠S.2 +∠S.3 = arc DS/2 . . . . substitution, angle addition, angle naming

TS is tangent at S . . . . converse of "inscribed angle alternate" where the vertex of an inscribed angle is a point of tangency

_____

Additional comment

The alternate to the inscribed angle theorem says the angle is half the measure of the intercepted arc even as the vertex of the inscribed angle becomes a point of tangency (one ray of the angle is a tangent, so a zero-length chord). The converse of this says the vertex is a point of tangency if the intercepted arc is twice the measure of the angle, as in this problem.

i cant see anything but dashes..

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer: 122.182

Step-by-step explanation:

N-0.0781N=112.64

I am presuming that N is at currently 100% so...

0.9219N=112.64

Then i put this into desmos as

y=112.64

and the first half as 0.9219X

And they equal each other at 122.182

The surface area of the triangular prism is B. 1,008 \(cm^{2}\)

Triangular Prism is a polyhedron made up of two triangular bases and three rectangular sides. It is a three-dimensional shape that has three side faces and two base faces, connected to each other through the edges.

How to determine this

The surface area of the triangular prism =  Area of the front Triangle + Area of the triangle + Each sides of the triangle by the length of the triangular prism.

Area of the front and back triangle will be the the same given the same base and height

To find the area of the triangle = 1/2 * Base * Height

Where base = 12 cm

Height = 9 cm

Area = 1/2 * 12 cm * 9 cm

Area = 6 * 9 \(cm^{2}\)

Area of the one triangle = 54 \(cm^{2}\)

So, by multiplying each sides of the triangle by the length

= Base * Length

= 12 cm * 25 cm

= 300\(cm^{2}\)

Height * Length

= 9 cm * 25 cm

= 225 \(cm^{2}\)

Then, Hypotenuse * Length

= 15 cm * 25 cm

= 375 \(cm^{2}\)

Surface area = 54\(cm^{2}\) + 54\(cm^{2}\) * 300\(cm^{2}\) + 225\(cm^{2}\) + 375\(cm^{2}\)

Surface Area = 1,008\(cm^{2}\)

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Answer:

Ratios and Proportions

Nurses do not prescribe medicine, but they administer medication to their patients. When doing so, they use ratios and proportions to help them. ... The ratios and proportions also allow the nurse to know how long the medication will stay in the body of the patient before needing another dosage.

Step-by-step explanation:

Answer:

they are used for comparing data

Step-by-step explanation:

even im the medical feild, mathematics is an impeccable way to explain phenomenons... by using mathematical formulas ratios and fraction, data can be communicated easier and help it to be easier to understand