Mr. Ferarra is planning a field trip to the history museum for all of the students at his middle school. The school's buses can only transport 144 students. Mr. Ferarra needs to rent more buses for the remaining 290 students.

Answer:

24.5 is our interquartile range

Step-by-step explanation:

First, you need to order the data set from least to greatest:

41, 44, 44, 49, 59, 60, 62, 75, 79

We have a total of 9 numbers in the data set.  

**Note: Our minimum is 41 and our maximum is 79, this is important**

Next, we need to find the median in order to get the numbers divided into groups to find quartiles 1 and 3 easily.

Our median is the middle number which is 59.

**If you have an even set, find the 2 numbers in the middle add them, then divide by 2.**

Our data set without the median:

Data set 1: 41, 44, 44, 49

Data set 2: 60, 62, 75, 79

Now find the median of data sets 1 and 2.

Data set 1: 44+44/2 -> 88/2 =44

Data set 2: 62+75/2  -> 137/2 = 68.5

Now that we have quartiles 1 and 3, we need to take 68.5 and subtract it by 44.

68.5 - 44 = 24.5

24.5 is our interquartile range

Do you think you could attach a photo?

Step-by-step explanation:

the average score would be 3 i think

Answer:

16

Step-by-step explanation:

4 x 4 = 16 because you have to go through city E

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Area of circle :

[tex]\qquad \sf  \dashrightarrow \:\pi r {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \pi\times (3.5) {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:12.25 \: \pi[/tex]

[tex]\qquad \sf  \dashrightarrow \:38.465 \: \: unit {}^{2} [/tex]

Answer:

38.465 units²

Step-by-step explanation:

The formula to find the area of a circle is πr². Simply substitute the radius in the formula to find the area.

Substituting the radius in the formula:

⇒ πr²

⇒ π(3.5)²                                                                        [Radius (r) = 3.5 units]

Evaluating the area:

⇒ π x 12.25

⇒ 3.14 x 12.25

⇒ 38.465 units²

3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]31+22-50[/tex]

____________________________________________

Calculate

[tex]53-50[/tex]

____________________________________________

Calculate the sum or difference

[tex]3[/tex]

I hope this helps you

:)

Answer:

1: The amount on the card, 2:$7.50, 3: $12.50, 4: $20

Step-by-step explanation:

To find the measure of Angle A, we'll need to use a trigonometric function.

Remember: SOH-CAH-TOA

Looking from Angle A, we know the opposite side and the hypotenuse. Therefore, we should use the sine function.

sin(A) = 9 / 18

---To solve for A, you'll need to use the inverse sin function on your calculator. It should look like so: sin^-1()

The inverse sin of 1/2 = 30

Answer: first option, 30 degrees

Hope this helps!

Answer:

195.5 m²

Step-by-step explanation:

A = bh/2

A = (23)(17)/2

A = 391/2

A ≈ 195.5 m²

Answer:

y = -x - 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the area of the sheet metal

Area = L * w

L = 12

w = 8

Area = 12 * 8

Area = 96 square inches.

Find the value of the sheet metal

1 square inch costs $2.00

96 square inches cost 2 * 96 = $192.00

Answer:

[tex]\boxed{ \bold{x = -1 }}[/tex]

Explanation:

[tex]\rightarrow \sf 32x-16+48=0[/tex]

simplify

[tex]\rightarrow \sf 32x+32=0[/tex]

subtract both sides by 32

[tex]\rightarrow \sf 32x+32-32=0-32[/tex]

simplify

[tex]\rightarrow \sf 32x=-32[/tex]

divide both sides by 32

[tex]\rightarrow \sf \frac{32x}{32} =\frac{-32}{32}[/tex]

final answer

[tex]\rightarrow \sf x=-1[/tex]

[tex]32x - 16 + 48 = 0 \\ 32x - 16 = - 48 \\ 32x = 16 - 48 \\ 32x = - 32 \\ x = - \frac{32}{32} \\ x = - 1[/tex]

x = -1

Answer:

y = x + 6

Step-by-step explanation:

The y-intercept is 6

and the slope is the change in y over the change in x, which is 1

So, use the equation y = m*x + c

m is the (slope) = 1

c is the (y-intercept) = 6

Your answer is: y = x + 6

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

[tex]\dfrac{7\pi}{18}[/tex]

Step by step explanation:

[tex]70^{\circ}=\dfrac{70\pi}{180}~~\text{radians}=\dfrac{7\pi}{18}~~\text{radians}[/tex]

Answer:

285

Step-by-step explanation:

I could be wrong but if i remember you subtract 75 from 360 which would be 285

y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

Answer:

[tex]95\frac{5}6{[/tex] miles

Step-by-step explanation:

First, find base. 1 inch = [tex]\frac{25}{3}[/tex] miles.

multiply the map distance by base.

[tex]11.5\cdot\frac{25}{3} = 95.8\overline{3}=95\frac{5}{6}[/tex] miles

The operation between a rational and a irrational number that results in a rational number is a multiplication, hence the expression ab could represent a rational number.

If a number can be represented by a fraction, it is rational, otherwise, it is irrational.

The addition/subtraction of a rational and an irrational numbers is irrational, while the multiplication is rational, hence the expression ab could represent a rational number.

More can be learned about rational numbers at https://brainly.com/question/10814303

Answer:

80 years

Step-by-step explanation:

(.025)*n = 2     solve for n  

Answer:

author link

ghanami

Ace

2.9K answers

12.1M people helped

hello :

note :

an equation of the circle Center at the w(a,b) and ridus : r is :

(x-a)² +(y-b)² = r²  

in this exercice : x²+y²-16x+6y+53=0

(x²-16x) +( y²+6y ) +53 = 0

(x² -2(8)x +8² -  8²) +(y² +2(3)x -3²+3² ) +53=0

(x² -2(8)x +8²) -  8² +(y² +2(3)x +3²)-3²  +53=0

(x-8)² +( y+3)² = 20

the center is :  w(8,-3) and ridus : r  = √20

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

X=2000

Step-by-step explanation:

[tex]0.02x + 0.1(6000) = 0.08(x + 6000)[/tex]

[tex]0.02x + 600 = 0.08x + 480[/tex]

[tex]600 - 480 = 0.08x - 0.02x[/tex]

[tex]120 = 0.06x[/tex]

[tex]x = \frac{120}{0.06} [/tex]

[tex]x = \frac{120 \times 100}{0.06 \times 100} [/tex]

[tex]x = \frac{120}{6} \times 100[/tex]

[tex]x = 20 \times 100 = 2000[/tex]

X=2000

−6146.153846154

Step-by-step explanation:

0.02x+6=0.8(x+6000)

0.02x+6=0.8x+4800

0.02x+6−0.8x=4800

−0.78x+6=4800

−0.78x=4800−6

−0.78x=4794

x=4794/-0.78

x=479400/-78

x=- 79900/13

The width of the rectangle as a function of its length is w = 55/l

The formula for finding the area of a rectangle is expressed as:

A = lw

where

l is the length

w is the width of the rectangle

Given that A = 55 square inches, then;

55 = lw

w = 55/l

Hence the width of the rectangle as a function of its length is w = 55/l

Learn more on area of rectangle here; https://brainly.com/question/2607596

Answer:

5x - 5

Step-by-step explanation:

To find the missing side, add the two sides together and subtract them from the perimeter.

side 1 + side 2

3x + 2 + 8x + 7

combine like terms

11x + 9

Subtract from the perimeter

16x + 4 - (11x + 9)

rewrite as an addition problem, so you need to change the signs inside the parentheses.

16x + 4 + (-11x -9)

Now combine like terms

5x - 5

Answer:

[tex]x-2y+3=0[/tex]

Step-by-step explanation:

Equation of a circle:  [tex](x-h)^2+(y-k)^2=r^2[/tex]

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

Given equation: [tex](x-3)^2+(y+2)^2=20[/tex]

Therefore, the centre is (3, -2) and the radius is √20

To find the equation of the tangent

The tangent of a circle is perpendicular to the radius at the point.

Therefore, first find the gradient (slope) of the line that passes through the centre of the circle and the given point.

[tex]\textsf{let}\:(x_1,y_1)=(1,2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(3,-2)[/tex]

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-2-2}{3-1}=-2[/tex]

If two lines are perpendicular to each other, the product of their gradients will be -1.

Therefore, the gradient of the tangent is:  

[tex]m_t \cdot-2=-1\implies m_t=\dfrac12[/tex]

Now use the point-slope formula of a linear equation to find the equation of the tangent:

[tex]\implies y-y_1=m_t(x-x_1)[/tex]

[tex]\implies y-2=\dfrac12(x-1)[/tex]

[tex]\implies 2y-4=x-1[/tex]

[tex]\implies x-2y+3=0[/tex]

Answer:

w=2

Step-by-step explanation:

Step-by-step explanation:

first simplified by dividing both sides by -5.

then, at

w - 5 = -3

add 5 to both sides.

and we get

w = 2

Answer:

6 is what percent of 15? = 40.

I hope this answers your question

Answer:

6656 cm²

Step-by-step explanation:

6656 cm² is the required answer

d is the answer

let the number of tickets be x and y

then the prices are multiplied to the number of tickets.