Question 4 of 18
What is the third quartile of the set of data shown below?
26, 34, 38, 49, 65, 75, 81
A. 49
B. 81
C. 75
D. 65

Answer: A

Step-by-step explanation:

Because Milwaukee's population is smaller than that of Baltimore, the only correct answer would be one that has the population of Baltimore higher than that of Milwaukee, which is only A

The answer to this question is 5775 different ways.

So total number of ways can be calculated

C(12,4)*C(8,4)*C(4,4)

= 495*70*1

= 34650

So 3 groups are formed and the order of the selected group is not important. Therefore:

Total number of ways = 34650 / 3! = 34650 / 6 = 5775

You can take a look the following questions and try to solve it as well.

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The answer is 1140.

The number of ways that students can be grouped into 3 group is C(20,3) = 1140

The answer is 28.

Groups of 2 can be made from 8 is C(8,2) = 28

The answer to this question is C.

Given that 10 persons divide into three groups having 2,3, and 5 persons.

C(10,2)*C(10,3)*C(10*5) = 45*120*252 = 1360800

The answer is 369 000 combinations.

The answer is 45.

The number of ways 10 students can be grouped into 2 groups is C(10,2) = 45.

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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Answer:

258.96

Step-by-step explanation:

%30 = 0.3

%6   = 0.06

so..

349 - (349 × 0.3)

349 - 104.7

244.3

then do the tax which is %6 or 0.06

244.3 + (244.3 × 0.06)

244.3 + 14.66

258.96

Good Job! Pls Brailniest! it would mean a lot ;) !

Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Answer:

I believe the constant rate is 13

Step-by-step explanation:

I believe this because for each time you divided y/x you will get 13. But in the last one (146/12) it will be 12.16...  So it will show a constant rate if you round the answer of (146/12) but if you aren't supposed to round then there wont be a constant.

Hope  this helps! :)

Answer:

1st x = 12

2nd x = 10

...................

Franco's trough drained water faster than Maria's trough.

We have,

To determine whose trough drained faster, we need to compare the rates at which they drained water.

Maria's trough drained 60 gallons in 75 minutes, which can be simplified to:

= 1 gallon per 1.25 minutes

(60 minutes divided by 75 minutes).

Franco's trough drained 75 gallons in an hour and a half, which is equivalent to:

= 1 gallon per 1.2 minutes

(90 minutes divided by 75 minutes).

Now,

Comparing the rates, we can see that Franco's trough drained water at a faster rate (1 gallon per 1.2 minutes) compared to Maria's trough (1 gallon per 1.25 minutes).

Therefore,

Franco's trough drained water faster than Maria's trough.

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Answer:

-9/14 so the answer is B

Step-by-step explanation:

Hope this helps

Answer:

b <3

Step-by-step explanation:

edge 2021

The value of x in the chord of the circle using the chord-chord power theorem is 0.

The chord-chord power theorem simply state that "If two chords of a circle intersect, then the product of the measures of the parts of one chord is equal or the same as the product of the measures of the parts of the other chord".

From the figure:

The first chord has consist of 2 segments:

Line segment 1 = 27

Line segment 2 = ( x + 16 )

The second chord also consist of 2 sgements:

Line segment 1 = 24

Line segment 2 = ( x + 18 )

Now, usig the Chord-chord power theorem:

27( x + 16 ) = 24( x + 18 )

Solve for x:

27x + 432 = 24x + 432

27x - 24x = 432 - 432

3x = 0

x = 0

Therefore, the value of x is 0.

Option D) 0 is the correct answer.

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Answer:

The required probability for the intersection of A & B = 0.25

Step-by-step explanation:

Given that:

Sample space S =  {E1, E2, E3, E4, E5, E6, E7} and the probability of each sample points are:

P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05.

Also;

A = {E1, E4, E6}

B = {E2, E4, E7}

C = {E2, E3, E5, E7}

Then

P(A) = 0.05 + 0.25 + 0.10 = 0.4

P(B) = 0.20 + 0.25 + 0.05 = 0.5

P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.6

The intersection of A and B are:

P(A ∩ B) = E4

P(A ∩ B) = 0.25

The required probability for the intersection of A & B = 0.25

The distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and  (x_2, y_2) is city b coordinates.

Given,

Two cities a and b are mapoed on the coordinate plane.

We need to find the distance between them.

One point has (a,b) coordinates.

The other point has (c,d) coordinates.

The distance between them is given by:

square root {(c-a)^2 + (d-b)^2}

Let,

City a has (x_1, y_1) coordinates.

City b has (x_2, y_2) coordinates.

Find the distance between city a and city b.

Distance = square root {(x_2 - x_1)^2 + (y_2 - y_1)^2}

Thus the distance between city a and city b is square root {(x_2 - x_1)^2 + (y_2 - y_1)^2} where (x_1, y_1) is city a coordinates and (x_2, y_2) is city b coordinates.

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Answer: 1 1/2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

32/sqrt(2) = 32sqrt(2)/2 = 16sqrt2

Answer:

C.

Step-by-step explanation:

It is a right triangle with hypotenuse c = 12, also for having two equal angles is an isosceles triangle, the missing sides (catethus) are equal (a and b)
a = b = the legs

Apply the Pythagorean theorem

\(c^{2}=a^{2} +b^{2} \\c^{2} =2a^{2}\)

\(a^{2} =\frac{c^{2} }{2}=\frac{(32)^{2} }{2} =512\)

\(a=\sqrt{512} =\sqrt{256(2)} =16\sqrt{2}\)

Hope this helps

Answer:

30

Step-by-step explanation:

150/5 = 30

30+30+30+30+30 = 150

The rate that Joe’s distance from the start of the path is changing with respect to time, in yards per minute is; 1.91 yards per minute

We are given the equation that represents Joe’s distance from the start of the path as;

D = 4s²/(5s + 10)

where;

D is distance measured in yards.

s is the total number of steps Joe has taken.

When s = 200, we have;

D = 4(200²)/(5(200) + 10)

D = 158.4158 yards

We are old that the constant rate is;

s/t = 100 steps per minute

From conversion rates, we know that , we know that;

1 step = 0.83 yards

Thus; 100 steps per minute = 83 yards per minute

Thus;

83 yards = 1 minute

Time for D = 158.4158 yards is;

158.4158 yards/83 yards per minute = 1.91 minutes

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Answer:

x = 7

y = 12

Step-by-step explanation:

The key to solving this problem is understanding the properties of exponents:

If you are multiplying two powers with the same base (in this case the base is 6), the result is the base raised to the power of the two exponents added together.

6^1/3+1/4 = 6^x/y

6^7/12 = 6^x/y

So the product would be 6^7/12

Therefore, the answers are:

x = 7

y = 12

Answer:

4.5 feet = 1.5 yards

Step-by-step explanation:

1 yard equals 3 feet

Then:

1 ----- 3

x -----4.5

\(x = 4.5/3 = 1.5 yards\)

Hope this helps

Answer:

y = -2x + 10

Step-by-step explanation:

y = mx + b is slope-intercept form where 'm' is the slope and 'b' is the y-intercept

use the point (2, 6), where 2 is the x-value and 6 is the y-value, and slope of -2 to find the y-intercept:

6 = (2)(-2) + b

6 = -4 + b

b = 10

y = -2x + 10

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

I belive the answer is 1380.

Answer:

90 minutos

Step-by-step explanation:

una hora es 60 minutos y media es 30 minutos.

Answer:

A. 1

Step-by-step explanation:

y-intercept of f(x)

y-intercept of g(x)

Distance

⇒ 3 - 2

⇒ A. 1

Answer:

no

Step-by-step explanation:

here, f (x)=x^3 - 4x^2 + 3x + 7

when, factor is (x + 5)

x - a =x + 5

a = -5

Reminder= f (a)

= (-5)^3 - 4 (-5)^2 + 3×(-5) + 7

= -233

Since Reminder = -233 which is not 0 .

(x + 5) is not a factor of f (x)=x3-4x2+3x+7

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

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3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

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Answer:

11.390625 in^3

Step-by-step explanation:

2.25^3 = 11.390625 in^3