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Eight students were asked how many books they read last summer. Their answers are shown in the line plot below.



Find the range and the mode for the data.

(a)range:
(b)mode:

The decimal multiplier to increase by 39% is 1.39

A decimal multiplier is used when determining the percentage of a particular amount.

From the information given:

the decimal multiplier required to increase by 39% can be determined as follows:

[tex]\mathbf{=\dfrac{100}{100} + \dfrac{39}{100}}[/tex]

[tex]\mathbf{=1 +0.39}[/tex]

= 1.39

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Answer:

C

Step-by-step explanation:

Answer:

A triangle has side lengths 18, 24, x.

18 + 24 = x

18 squared + 24 = x

(18 + 24) squared = x squared

18 squared + 24 squared = x squared

Step-by-step explanation:

The right triangle hypotenuse has its length 18² + 24² = x².

In a right triangle, the "side opposite to the right angle is hypotenuse".

According to the question,

In right angle triangle,  sides are 18, 24, x. Where 'x' is the hypotenuse  of the right angle triangle. In right angle the opposite angle is 90⁰ . In order

to find hypotenuse,  

18 + 24 = x

18² +24 =x

(18+  24) ² = x²

18² + 24² = x²

Hence, the right triangle hypotenuse has its length 18² + 24² = x².

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Answer:

No

Step-by-step explanation:

This is because those 3 values are not pythagorean triples

2² is not equal to 1.7² + 1.1²

Answer:

54

Step-by-step explanation:

Answer:

±3

Step-by-step explanation:

sqrt(9)

3*3 = 9

-3*-3 = 9

sqrt(9) = ±3

Answer:

8/25

Step-by-step explanation:

4/5 *2/5

Multiply the numerators

4*2 = 8

Multiply the denominators

5*5 = 25

8/25

Answer:

The answer would be 8/25 or 0.32

Answer:

535.96 (rounded up)

Step-by-step explanation:

Y= a ( 1 + r )^t

Answer:

See this: https://brainly.com/question/16788347

Answer:

The last option on the list.

Step-by-step explanation:

Answer:

Cam has b-7 dollars

Step-by-step explanation:

Step-by-step explanation:

6(16.5 cm) = 99 cm

Answer:

A..... I guess the answer must be A

Answer:

lemonade : ginger ale : pineapple juice : orange juice  

l:g:p:o = 1:3:2:4

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

p=400 ml

2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml

Lemonade mL :  200

Ginger Ale mL :  600

Orange Juice ML : 800

Answer:

8. The y-intercept represents the 14 inches of snow 0 hours after midnight.

9. The slope indicates that the snow level increases 2 inches for every hour that passes after midnight.

10. 30 inches

Step-by-step explanation:

8. given in the text

9. given in the text

10.

[tex]y=2x+14[/tex]

[tex]y=2(8)+14[/tex]

[tex]y=30[/tex]

Answer:

is 12

Step-by-step explanation:

2/3=18

18:3= 6

6 x 2=12

[tex]answer \\12 \\ solution \\ \\ \frac{2}{3} \times 18 \\ = 12 \\ \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

X-intercept is -4 and the Y-intercept is 5

Answer:

9.5 gallons

Step-by-step explanation:

Josh mixed 2 cartons of orange juice, 3 bottles of soda water and 6 cans of

cocktail fruits to make a fruit punch.

Each carton of juice is 1 gallon and 3 quarts.

Therefore, 2 cartons will be:

2 * (1 gallon + 3 quarts) = 2 gallons and 6 quarts

1 quart = 0.25 gallon

6 quarts = 6 * 0.25 = 1.5 gallons

Therefore, Josh poured 3.5 gallons of orange juice.

Each soda water bottle contains 6 quarts. There are 3 bottles of soda water.

Therefore, the number of gallons that the soda water bottle contains is:

3 * 6 * 0.25 = 4.5 gallons

The  cans of cocktail fruit are 2 pints each. There are 6 cans of cocktail fruit.

1 pint = 0.125 gallon

2 pints = 0.25 gallons

=> 6 cans of cocktail fruit is:

6 * 0.25 = 1.5 gallons

The amount of fruit punch that Josh made is the sum of all components:

3.5 + 4.5 + 1.5 = 9.5 gallons

Using the appropriate arithmetic operation, the total measure of the fruit punch in gallons is 9.5 Gallons

Recall :

Orange juice :

2 cartons = 2(1.75) = 3.5 gallons

Soda water :

3 bottles = 3(6 × 0.25) = 4.5 gallons

Cocktail juice :

6 cans = 6(2 × 0.125) = 1.5 gallons

Total gallons in mixture :

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Answer:

[tex]31.5\pi[/tex]

Step-by-step explanation:

Using the formula given, you can find that the surface area of the glass is:

[tex]2\pi r^2 h+ 2\pi r^2= \\\\2\cdot \pi \cdot 1.5^2 \cdot 6+2\cdot \pi \cdot 1.5^2=\\\\27\pi + 4.5\pi=\\\\31.5\pi[/tex]

Hope this helps!

Answer:

5(5x + 3)

Step-by-step explanation:

Given

25x + 15 ← factor out the common factor 5 from each term

= 5(5x + 3) ← in factored form

Answer:

43.30 km^2

Step-by-step explanation:

Since the shape is a regular polygon, the sides of the triangle are equal (10km) now find the area on the triangle using herons formula

Working:

Side is 10

Perimeter= 30km

Semiperimeter (s) = 15km

Formula= √s(s-a)(s-b)(s-c)

= √15(15-10)(15-10)(15-10)

= √15*5*5*5

=5√5*15

=5√75

= 5*8.66

= 43.3 km^2

Answer:

43.3

Step-by-step explanation:

since it is a regular polygon thus it is a equilateral triangle where all sides are the same and all angles are 60

use formula 1/2 x a x b x sin C where a and b are sides and C is the angle

1/2 x 10 x 10 x sin 60 = 43.30

or method 2 is using Pythagoras theorem by drawing a perpendicular height to length 10km

h = [tex]\sqrt{10^{2} - (10/2)^{2} } = \sqrt{75} \\[/tex]

area of triangle = 1/2 x 10 x [tex]\sqrt{75}[/tex] = 43.30

Answer:

C. line d

Step-by-step explanation:

Two parallel lines are lines that do not meet even with continuous extension of their length. While two lines are perpendicular when they form a right angle to each other at the point where they meet.

In the given question, the only figure that would be parallel to line c is line d. Line a is not parallel to line c (since it is slightly diagonal, it would intersect line c at a point) and line B is perpendicular to line c (since it is horizontal to plane Q), same as plane Q. So that lines c and d are parallel to each other.

Answer:

C. Line D

Step-by-step explanation:

Just took the test and got it right

Answer:

To make x the subject of the equation means to solve the equation for x (get x by itself on one side). We do the order of operations in reverse, because we are using inverse operations. First, add the 2 to both sides (to keep the equation “balanced” we must do the same thing to both sides). y+2=3x. Then divide both sides of the equation by 3 (or multiply both sides by 1/3.

Step-by-step explanation:

Answer:

[tex]x = \frac{y + 2}{3} [/tex]

Step-by-step explanation:

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

hope this helps

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good luck! have a nice day!

Answer:

A geometric pattern is a kind of pattern formed of geometric shapes and typically repeated like a wallpaper design. Any of the senses may directly observe patterns.

Step-by-step explanation:

Answer:

13, 050

Step-by-step explanation:

15,000 by 13% = 1,950

15,000-1,950= 13, 050

the answer is C, the curve is a one to one function

Answer: The angle of depression would be 26.57°

Step-by-step explanation: Please refer to the attached picture for further details.

What harry has done has effectively led to the formation of a right angled triangle. As shown in the diagram, the camera has been mounted at a height of 8 feet above the ground. Also he mounts the camera at a horizontal from the entrance, which puts the camera at 16 feet away from the entrance (not from the ground). In order to capture every movement at the entrance, the camera range would be determined by an angle which covers everything from top to bottom of the entrance. That gives you the angle of depression which is at the point labelled CAMERA in the triangle.

Having determined two sides and an angle (unknown) in a right angled triangle, we shall use the trigonometric ratios as follows;

Tan ∅ = Opposite/Adjacent

Where the opposite is 8 (side facing the reference angle) and the adjacent is 16 (side that lies between the reference angle and the 90 degree angle)

Tan ∅ = 8/16

Tan ∅ = 0.5

By use of a calculator,

∅ = 26.5650

∅ ≈ 26.57

Therefore the angle of depression of the surveillance camera should be 26.57°

Answer:

common ratio(r) = 10

place of the term = n

a = 3

now

sequence of 1 term = ar^(n-1)

= 3×10^(1-1)

= 3× 10^0

= 3×1

= 3

sequence of 2 term = ar^(n-1)

= 3×10¹

= 30

and so on

Answer:

1st one does

Step-by-step explanation:

There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.

The graph which is symmetry about y-axis is attached below.

In the given image,

Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

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