Compute the range and interquartile range for the data collected for boys and girls. Describe their differences in detail using specific terms of spread. (4 points)

Answer:

A=48.81

Step-by-step explanation:

it is a right angle triangle find the hypotenuse c using Pythagorean theorem:

c²=a²+b²

c²=8²+7²

c=√64+49

c=10.63

sin A =opp/hyp

sin A=8/10.63

A=  48.81

another way :

tan A=opp/adj

tan A=8/7

A=48.81

Answer:

Rushmont

Step-by-step explanation:

Trenton can be ruled out due to its constant increase rate of 1.5. Rushmont can be ruled out because it goes from an increase rate of ~1.8 to an increase rate of 1.4 to an increase rate of 1.3 (exponential decay, not growth, so possibly...). Springville has a rate of ~1.9, then 1.475, then 1.3, also exponential decay. However, y\ =\ x\frac{38}{10}-185 goes through all of springville's points (or close to it), so Rushmont must be the answer.

The town that has growth that follows an exponential model is Town B, Rushmont where the population increases or decreases at a consistent rate over time.

In this case, analyze the population data from the three towns to determine which one exhibits exponential growth.

Let's go through each option briefly:

A. Springville:

B. Rushmont:

C. Trenton:

Based on the analysis above, the town that shows growth following an exponential model is Rushmont (B). It exhibits a consistent increase in population over time, suggesting exponential growth.

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Answer:

2x - 7y + 17

Step-by-step explanation:

Subtracting the 2 expressions

2x - 4y + 6 - (3y - 11) ← distribute parenthesis by - 1 )

= 2x - 4y + 6 - 3y + 11 ← collect like terms

= 2x - 7y + 17

Answer:

0

Step-by-step explanation:

2x_4y +6_3y_11

2x_7y=17

2x _7y+17=0

Answer:

15

Step-by-step explanation:

Aaron and his 2 friends = 3 people

Each received $5.00 = 3 people*5 each = 15 total

Answer:

(- 4, 17 ) and (2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = x² - x - 3 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - x - 3 into (2)

x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )

x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )

Answer:

9:45 A.M.

Step-by-step explanation:

First, add the time that took him to hike:

6:30 + 2 hours and 15 minutes = 8:45 A.M.

Next, add the 1 hour that he played volleyball for:

8:45 + 1 hour = 9:45 A.M.

So, he finished playing volleyball at 9:45 A.M.

Answer:

9:45 am

Step-by-step explanation:

He went at 6:30 am to a hike.

It took him 2 hours 15 minutes

=> 6 : 30

+  2    15

=> 8 : 45

He came back from the Hike at 8:45 am

He played volleyball for 1 hour.

=> 8 : 45

+  1

=> 9 : 45

He finished playing volleyball at 9:45 am

Answer:

3750 cm²

Step-by-step explanation:

To find the answer, we need to find the surface area of the cube. The surface area formula for a cube is 6a² where a = the length of an edge. We know that a = 25 so the surface area is 6 * 25² = 6 * 625 = 3750 cm².

Answer:

37.5 hopefully this is the answer you were looking for!

Step-by-step explanation:

Answer:

bro please send in a picture format so that it could be more easier

Answer:

63°

Step-by-step explanation:

complement means that the two angles add to 90°

90 - 27 = 63°

Answer:

Step-by-step explanation:

complement angles have sum of angles=90°

∠AOC=27

∠BOC=90-27=63°

Estimate:

2.3 rounds down to 2

So after multiplying by 2, the area is estimated to be 4 cm squared.

Actual Area:

2.3 x 2 = 4.6

The actual area of the shape is 4.6 cm squared.

Hope this helped!

Answer:

4.6

Step-by-step explanation:

Its $2.99 because 6.94-3.95=2.99 so $2.99

Answer:

$2.99

Step-by-step explanation:

To find the value of the drawing tablet, we can use the known total cost and the cost of the pencils.  Let's build an equation, where x represents the cost of the drawing tablet:

x + 3.95 = 6.94

Now let's solve the equation for x to find the cost of the tablet.

x + 3.95 = 6.94

x + 3.95 - 3.95 = 6.94 - 3.95

x = 2.99

So the cost of the drawing tablet is $2.99.

Cheers.

Answer:

Hey there!

x=95

This is because x and the angle of 95 degrees are vertical angles, and vertical angles are congruent to each other.

Let me know if this helps :)

Answer:

0.036

Step-by-step explanation:

We can find the probability by dividing the number of people with type A blood by the total amount of people.

There are 900 people in total and 323 of them have type A blood.

323/900

= approximately 0.036

Answer: Choice B)  0.36

================================================

Work Shown:

323 people have blood type A

900 people are being sampled

323/900 = 0.35888888888889 approximately

This rounds to 0.36, which is the probability of picking someone with type A blood.

We don't use any other values given, so they are probably put in there as a distraction.

Answer:

[tex] \frac{2 {}^{5} }{7 {}^{5} } [/tex]

Step-by-step explanation:

[tex]( \frac{2}{7}) {}^{5} =\frac{2 {}^{5} }{7 {}^{5} } [/tex]

Hope this helps ;) ❤❤❤

Answer:

39.35 sec

Step-by-step explanation:

Given that:

The winning time is represented by the function:

T = 46.97 - 0.099x

Where x = year ; x = 0 corresponding to 1920

According to the formula, what was the winning time in 1997?

first find the value of x;

x = 1997 - 1920 = 77 years

Nowing plugging the value of x in the function :

T = 46.97 - 0.099(77)

T = 46.97 - 7.623

T = 39.347 seconds

T = 39.35 s

Answer:

12.5

Step-by-step explanation:

2.5 * 5 = 12.5

Answer:

x=19.3333

Step-by-step explanation:

Cross multiply

6(x-3)=14*7

6x-18=98

6x=98+18

6x=116

x=19.3333

Answer:

64 mph

Step-by-step explanation:

Given that:

Speed for the first 3 hours = 52 mph

Average speed for 4 hours = 55 mph

To find:

Speed for the next hour = ?

Solution:

Formula for average speed is given as:

[tex]Average\ Speed = \dfrac{Total\ Distance}{Total \ Time \ Taken}[/tex]

Formula for Distance:

[tex]Distance =Speed \times Time[/tex]

Distance traveled in first 3 hours:

[tex]Distance =52\times 3 = 156\ miles[/tex]

Let the speed for the next hour = u mph

Distance traveled in 1 hour = [tex]u \times 1 = u\ miles[/tex]

Total distance traveled = (156 + u) miles

Total time = 4 hours

Average Speed = 55 mph

Putting the values in formula:

[tex]55 = \dfrac{156+u}{4}\\\Rightarrow 220 = 156+u\\\Rightarrow \bold{u = 64\ mph }[/tex]

So, the answer is: 64 mph

Answer:

The watered area is approximately 3783 square feet.

Step-by-step explanation:

The area that is watered due to the rotation of the spankler is a circular section area ([tex]A[/tex]), whose formula is:

[tex]A = \frac{\theta }{2}\times \frac{1}{360^{\circ}}\times 2\pi \times d^{2}[/tex]

Where:

[tex]d[/tex] - Water distance, measured in feet.

[tex]\theta[/tex] - Rotation angle, measured in sexagesimal degrees.

Given that [tex]d = 85\,ft[/tex] and [tex]\theta = 60^{\circ}[/tex], the watered area is:

[tex]A = \frac{60^{\circ}}{2} \times \frac{1}{360^{\circ}}\times 2\pi \times (85\,ft)^{2}[/tex]

[tex]A \approx 3783\,ft^{2}[/tex]

The watered area is approximately 3783 square feet.

Answer:176

Step-by-step explanation:

6 times 29.33333333333333

Answer:

[tex]\large \boxed{4}[/tex]

Step-by-step explanation:

[tex]\sf The \ sum \ of \ -5, \ -10, \ and \ -9 \ is \ divided \\ by \ the \ product \ or \ multiplication \ of \ 2 \ and -3.[/tex]

[tex]\displaystyle \frac{-5+-10+-9}{2 \times -3}[/tex]

[tex]\displaystyle \frac{-24}{-6}[/tex]

[tex]=4[/tex]

Answer:

4

Step-by-step explanation:

-5+(-10)+(-9)/2*(-3)

=-5-10-9/-6

=-24/-6

=4

Step-by-step explanation:

It looks like you have to draw a figure and then label every side with how long it is.

This first shape is a pentagon because it has 5 sides, and for each side of the pentagon the length would be 3/5 so .6 inches.

The second shape is a square because it has 4 sides, you than would label each side as 1 ft, because when you add them all it equals 4.

The third shape is a triangle with 3 equal sides. When you divide 16.8/3 it shows thag each side of this triangle will be labeled with 5.6 meters.

Answer:

True

Step-by-step explanation:

|9| means the absolute value, how far it is away from zero, so that's 9. Then it's just -9=-9. If it were |-9| then the absolute value would be 9 making the equation false.

The expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.

Hence, The answer is False.

The absolute value of a number is its distance from zero. It is always non-negative. Therefore, the absolute value of 9 is 9, not -9.

The negation of a number is its opposite. The opposite of 9 is -9.

Therefore, the expression −|9| is the negation of the absolute value of 9, which is 9. This is not equal to -9.

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Answer:

The value = 1

Step-by-step explanation:

Here in this question, we are interested in calculating the product of the trigonometric identities given.

To adequately calculate this correctly, we shall need to express the trigonometric identities in their normal division form which is as follows ;

Mathematically;

cotA = 1/tanA

let’s leave sin A

sec A = 1/cos A

So inputing the values of the following, we have ;

1/tan A * sin A * 1/cos A

This can be written as;

1/tan A * sin A/cos A

Mathematically; sinA/cos A = tan A

making that substitution, we have;

1/tan A * tan A

= tan A/tan A = 1

Answer:

12 apples

Step-by-step explanation:

3*4=12

Answer:

0.069

Step-by-step explanation:

0.3*0.23=0.069

Answer:

3 boxes with 4 sweets and 2 boxes with 5 sweets

Step-by-step explanation:

As per given, we have following equations:

x= 5- y as per the first equation, considering in second one:

Then:

So there 3 boxes with 4 sweets and 2 boxes with 5 sweets

Answer:

[tex]\boxed{\sf{view \: explanation}}[/tex]

Step-by-step explanation:

To convert percentages into a fraction, divide the value by 100.

[tex]\displaystyle 800\% =\frac{800}{100} =8[/tex]

[tex]\displaystyle 375\% = \frac{375}{100} =\frac{15}{4} =3\frac{3}{4}[/tex]

[tex]\displaystyle 240\% = \frac{240}{100} =\frac{12}{5} =2\frac{2}{5}[/tex]

Answer:

see below

Step-by-step explanation:

To change a percent to a fraction, divide by 100 and simplify

800% = 800/100

Dividing by 100

          = 8/1

         =8

375% = 375/100

        Dividing by 25

          =15/4

Changing to a mixed number

4 goes into 14 3 times with 3 left over

            3 3/4

240% = 240/100

Dividing by 20

           =12/5

Changing to a mixed number

 5 goes into 12  2 times with 2 left over

       = 2 2/5

Answer:

50 cars

Step-by-step explanation:

Let's define p as the number of people and c the number of cars.

We know that p / c = 3/5 or in other words, there are 5 cars every 3 people. If we have 30 people means that p = 30 which implies 30/c = 3/5 which implies c = 5/3 * 30 = 50.

Answer:

Step-by-step explanation:people=30=3/5

30/5=6*3=18

car=30=5/3

30/3=10

10*5=50

so there are 50 cars there