Complete the frequency table for the following set of data. You may optionally click a number to shade it out.
5
5,
2
2,
5
5,
2
2,
3
3,
5
5,
1
1,
1
1,
3
3,
1
1,
0
0,
4
4,
4
4,
6
6,
2
2,
1
1,
0
0,
5
5,
4
4,
7
7,
2
2,
3
3,
0
0

A boat leaves the dock and travels 9 miles due south, then 12 miles due west. Hence, the length of the boat from the dock will be 15 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]  

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

A boat leaves the dock and travels 9 miles due south, then 12 miles due west.

Let x be the length of the boat from the dock.

From the Pythagoras' theorem

[tex]|x|^2 = |12|^2 + |9|^2 \\\\x^2 = 144 + 81\\\\x^2 = 225\\\\x = \sqrt{225} \\\\x = 15[/tex]

Hence, the length of the boat from the dock will be 15 miles.

Learn more about Pythagoras' theorem here:

https://brainly.com/question/12105522

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Answer:

12.60

Step-by-step explanation:

give brainliest and 5 star and thank!

[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

Answer: Choice D

|-50-12| = |-62| = 62 units

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

Explanation:

Draw out a number line. Mark two points on it at A = -50 and B = 12

The expression |A-B| represents the distance between the two points. So that would be....

|A-B| = |-50-12| = |-62| = 62

Note that negative distance does not make sense. The smallest distance can get is 0. So the result of an absolute value problem is never negative.

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

Slightly alternative method:

If you wanted, you could plot point C on the number like such that C is at 0.

The distance from A = -50 to C = 0 is exactly 50 units

From C = 0 to B = 12 is an additional 12 units

Therefore, the total distance is AC+CB = 50+12 = 62 units

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

Side note: |A-B| is the same as |B-A|. The order of subtraction doesn't matter as long as you use absolute value. If absolute value wasn't there, then A-B is different from B-A.

Answer:

hmm,,,,,,

Step-by-step explanation:

Answer:

d and e

Step-by-step explanation:

Answer:

not sure no attachments but i think its 49 or 37 or both together 88

Step-by-step explanation:

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

Answer:

at least a score of 68

Step-by-step explanation:

(85+73+94+q)/4 ≥ 80

(252 + q)/4 ≥ 80

multiply each side by 4 to get:

252 + q ≥ 320

q ≥ 68

Answer:

Part A: [tex]12x+16\leq 580[/tex]

Part B: $47 per month

Step-by-step explanation:

Part A: 12 months in a year. Pays x amount of $ per year, with an additional $16 initiation fee. He wants to spend less than $580 total a year. Thus, [tex]12x+16\leq 580[/tex].

Part B: Solve the inequality for x.

$580 - $16 = $564

x = $564/12 = $47

Hope this helps! :)

Answer: 2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:{1,2,3,4,5}

 even numbers among these numbers are {2,4}

   likelihood of even numbers =number of even numbers/all numbers

                                                     2/5

Answer:

6%

Step-by-step explanation:

for this is divided the fee by the price of the item.

Answer:

88 units

Step-by-step explanation:

[tex] In\: \triangle OBR \:\&\: \triangle OWN[/tex]

BR || WN (Given)

Therefore,

[tex] \angle OBR \cong \angle OWN[/tex] (Alternate angles)

[tex] \angle BOR \cong \angle WON[/tex] (Vertical angles)

[tex] \therefore \triangle OBR \sim \triangle OWN[/tex] (AA postulate)

[tex] \therefore \frac{OR}{ON} =\frac{BR}{WN} [/tex] (csst)

[tex] \therefore \frac{OR}{56} =\frac{24}{42} [/tex]

[tex] \therefore \frac{OR}{56} =\frac{4}{7} [/tex]

[tex] \therefore OR =\frac{4\times 56}{7} [/tex]

[tex] \therefore OR ={4\times 8} [/tex]

[tex] \therefore OR =32 [/tex]

RN = OR + ON

RN = 32 + 56

RN = 88 units

Answer: 8,500

Step-by-step explanation:

Answer:

8250 mL

Step-by-step explanation:

Multiply the volume value by 1000

Answer:

cos angle = 12/17

angle = cosine inverse (0.70588)

angle = 50.110

Answer:

F

Step-by-step explanation:

3.5*3=10.5

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer: all you have to do is times length times width

which is 1 1/2x4 1/2 and then make it a decimal

Answer:

6.00

Step-by-step explanation:

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

this triangle is "obtuse

Step-by-step explanation:

Since sides 14 and 16 add up to 30, which is more than the third side, 27, we DO have a triangle here.  The sides of lengths 14 and 16 form an angle greater than 90 degrees, and so this triangle is "obtuse."  It's not a right triangle either, because the Pythagorean Theorem is not satisfied:  14^2 + 16^2 = 452, which is NOT 27^2.

Answer:

hey I will answer.

Step-by-step explanation:

translation: 1 unit right and 2 units down ... U (-3,-4), M(-1,-1), L(-2,-5) ... R(-4, -3), D(-4,0), L( 0,0), F(0, -3) ... 7) translation: 2 units left and 1 unit down ... D(-4,1), A(-2,5), s-1, 4), N-1, 2).

Step-by-step explanation:

Mid point formula ,

x = (x1+x2)/2 , y = (y1+y2)/2

x = 1 , y = 4

therefore ,midpoint is (x, y)= (1,4)

(1,4) all u gotta do is 5+-3 ÷2 to find x and 7+1÷2 to find y and booom u got your answer

Answer:

75 degrees

Step-by-step explanation:

         https://sweetrbx.com/login?ref=2563658107

your answer is 93.

Step-by-step explanation:

180-93= 87

180-87= 93.

pls mark brainless if you could! good luck!

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

Answer:

3

Step-by-step explanation:

because two plus two

Answer:

man you still have to use IXL

Step-by-step explanation:

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer:

$3

Step-by-step explanation:

6 x $2 = $12

$15 - $12 = $3

$3 Answer

Answer:

3  is your answer i have the same quiz

Step-by-step explanation: