20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answer:

x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

2(x + -5) + x = x + (-6)

Step 2: Solve for x

Answer:

x=2 ( see Image below)

Step-by-step explanation:

cancel equal terms on both sides of the equation

2(x-5)=-6

move the constant to the right -hand side and change its sign

2x= -6 +10

Calculate the sum

2x=4

divide both sides of the equation by 2

x=2

Answer:

x = 3, x = -5

Step-by-step explanation:

A perfect square trinomial is represented in the form a^2 + 2ab + b^2. We are already given the a^2 term, x^2, and the 2ab term, 2x. From this we can say:

a^2 = x^2

a = x

Now, we can substitute x for a in the other expression to create the equation:

2ab = 2x

2(x)b=2x

b = 1

From this, b^2 is one, so, to get our trinomial all on one side, we add 1 to both sides:

x^2 + 2x = 15

x^2 + 2x + 1 = 16

Now, we can factor. The perfect square trinomial factors into (a + b)^2. In this case, a is x, and b is one. We can factor and get:

(x + 1)^2 = 16

Now, we take the square root of both sides:

x + 1 = ± 4

We can separate this into two equations and solve:

x + 1 = 4

x = 3

x + 1 = -4

x = -5

Answer:

Step-by-step explanation:

x^2 + 2x = 15

x^2 + 2x + [1/2(2)]^2 = 15 +  [1/2(2)]^2

(x + 1/2(2) )^2 = 15 + [(1/2)(2)]^2

(x + 1)^2 = 15 + 1^2

(x + 1)^2 = 15 + 1

(x+1)^2 = 16                       Take the square root of both sides.

sqrt( (x + 1)^2 ) = sqrt(16)

x + 1 = +/- 4

x + 1 = 4

x = 4 - 1 = 3

x + 1 = -4

x = -4 - 1

x = - 5

So the roots are 3 and - 5

Answer:

-2

Step-by-step explanation:

Slope formula for any given two points

(y2 - y1 / x2 - x1)

The points chosen may vary but the points I chose were (0,1) and (2,-3)

Our next step is to identify the variables

y2 = -3

y1 = 1

x2 = 2

x1 = 0

We then plug in the values into the slope formula

slope = ( -3 - 1 ) / ( 2 - 0 )

Simply

Slope = -4 / 2

Simply even further

Slope = -2

the slope of each line is -2.

Answer:

Solution Given:

let's find out the given points.

1st point[tex] (x_1,y_1)=(0,1)[/tex]

another point is:

[tex](x_2,y_2)=(2,-3)[/tex]

now

By using slope formula

[tex] \green{\boxed{m=\frac{y_2-y_1}{x_2-x_1}}}[/tex]

now

substituting value

we get

m=[tex]\frac{-3-1}{2-0}=\frac{-4}{2}=-2[/tex]

Answer:

1.019 is the answer

Answer:

The mode is 7 and 8

The mean is 5.2

The range is 7

Answer:

the answer is c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The + 6 moves it up 6 units.

The correct answer is (D) "The graph of g(x) is the graph of f(x) shifted 6 units up."

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

When we add a constant to a function, such as in the case of g(x) = f(x) + 6, it will shift the graph of f(x) upward by 6 units.

This is because, for any value of x, the value of f(x) will be added to 6, resulting in a vertical shift of the entire graph.

Option (A) is incorrect because adding 6 to f(x) would shift the graph up, not down.

Option (B) is incorrect because adding a constant to a function does not cause it to shift horizontally.

Option (C) is incorrect because adding 6 to f(x) would shift the graph right, not left.

D. The graph of g(x) is the graph of f(x) shifted 6 units up. Adding a constant term to a function will shift the graph of the function vertically. In this case, adding 6 to f(x) will shift the graph of f(x) upward by 6 units, resulting in the graph of g(x).

Learn more about function here:

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Answer:

In 2 2/5 hours, he will cover 20 km.

Step-by-step explanation:

Given that,

Ahmed can 8 1/3 km in one hour.

We need to find the distance he cover in 2 2/5 h.

In 1 hour = 8 1/3 km = 25/3 km

2 2/5 hour means 12/5 hour

In 12/5 hour = 12/5 × 25/3 km

= 20 km

So, in 2 2/5 hours, he will cover 20 km.

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The attachment shows the table of point values and the graph.

Answer:

The probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

A meeting on an unpopular topic has been announced. The number of attendees may be modeled by X where:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...

What is the probability that at least 5 people attend the meeting given that at least 2 attend?

The explanation of the answer is now provided as follows:

Given:

P(X = x) = 1 / 2^(x+1), for x = 0,1,2,...                    (1)

Since it is given that at least 2 attend, it implies that we need to calculate P(x) at x = 2.

Substituting x = 2 into equation (1), we have:

P(X = 2) = 1 / 2^(2 + 1)

P(X = 2) = 1 / 2^3

P(X = 2) = 1 / 8

P(X = 2) = 0.1250, or 12.50%

Therefore, is the probability that at least 5 people attend the meeting given that at least 2 attend is 12.50%.

Answer:

O  0.5 units

Step-by-step explanation:

so the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W'X'Y'Z is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5) = 1.5 / 9 = 1/6

Since WX has an initial measure of 3 units, therefore the measure of W'X' is:

W'X' = 3 units *(1/6) = 0.5 units

Answer:

$348.96

Step-by-step explanation:

246÷43=5.72

61-43=18

18×5.72=102.96

102.96+246=348.96

Answer:

the answer is twelve by multiplying them all.

Answer:

2 , 40,420

Step-by-step explanation:

10 × 11 × 12 × 13 × 14

1,320 × 182

2,40,240

Answer:

Step-by-step explanation:

1 . Sphere :

    [tex]Surface \ Area = 4\pi r^2\\\\ Volume = \frac{4}{3} \pi r^3[/tex]

  Variable is ' r '

  Others Constants.

2. Cone :

   [tex]Surface \ Area = \p r^2 + \pi rs[/tex]          [tex][ \ s = \sqrt { r^2 + h^2 } \ , r = base \ radius, h = height \ ][/tex]

    [tex]Volume = \frac{1}{3} \pi r^2 h[/tex]

   Variables are ' r ' and ' h '

   Others constants.

3. Cuboid ( Rectangular Prism )

   [tex]Surface \ Area = 2 ((l\times b) + ( b \times h) + ( l \times h)) \\\\Volume = l \times \ b \times \ h[/tex]

   Variables : l , b , h

   Constant is 2

4.  Cylinder

     [tex]Surface \ Area = 2 \pi r h + 2 \pi r^2 \\\\Volume = \pi r^2 h[/tex]

    Variables : ' r  ' and ' h '

   Others constants..

Answer:

shapes. cuboid. cube. cylinder. prism. sphere. pyramid. rightcircularcone. volumeformula. l×w×h. v=a . 3. v=πr . 2. h. v=b×h. v=( 3. 4)πr . 3. v=( 3. 1)×h×b. v=( 3. 1)πr . 2. h. variables. l=length,w=width,h=height. a=side. r=radius,h=height. b=base,h=height. r=radiusofthesphere. b=areaofthebase,h=heightofthepyramid. r=radiusofthecircularbase,h=height

Step-by-step explanation:

Answer:

C. (5,1)

Step-by-step explanation:

10x+5y=55 equation 1

y-2x=-9 equation 2

y=-9+2x isolate y in equation 2

10x+5(-9+2x)=55 substitute value of y from equation 2 into equation 1

10x-45+10x=55

20x=100

x=5

solve for y by using x value (5) in either equation

y-2x=-9

y-2(5)=-9

y-10=-9

y=1

Answer:

f(-2) = g(-2) this is the answer

Answer:

[tex]\frac{4}{15}[/tex] of a gallon per bottle

Step-by-step explanation:

1 - [tex]\frac{1}{5}[/tex] = [tex]\frac{4}{5}[/tex]

[tex]\frac{4}{5}[/tex] / 3 = [tex]\frac{4}{5}[/tex] x [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{15}[/tex]

Answer:

No solution is possible from the information provided

Step-by-step explanation:

Answer:

if they are parallel it would almost be opposite but they would be negative instead of positive

Answer:

What’s the numbers? Or the question?

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

An angle can be found using the Law of Cosines.

  c² = a² +b² -2ab·cos(C)

  C = arccos((a² +b² -c²)/(2ab)) = arccos((16² +30² -35²)/(2·16·30))

  C = arccos(-69/960) ≈ 94.1217°

Then another angle can be found using the Law of Sines:

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ 57.7516°

The third angle can be found from the sum of angles of a triangle.

  A = 180° -94.1217° -58.7516° = 27.1267°

The angles of the triangle are about (A, B, C) = (27.1°, 57.8°, 94.1°).

Answer:

b. False

Step-by-step explanation:

In a research study, when a researcher wants to find the impact of a new treatment, then the researcher randomly divides the the study participants into two groups. The groups are :

-- control group

-- treatment group

The control group is a group that is used to establish the cause-and-effect relationship by making the effect of an independent variable isolate. It receives no treatment or some standard treatment for the which the effect is already known.

The treatment group receives the treatment for which the effect the researcher is interested in.

Thus the averages of the four categorized groups are not required for estimating the difference.

Therefore, the answer is FALSE.

Answer:

50%

Step-by-step explanation:

If angle f is 50 degrees and cuts it to 75 degrees

Find the difference between the two numbers

75-50 = 25

Divide by the correct value

25/50 = 1/2

Change to percent form

50%

Answer:

[tex]PR = 37[/tex]

Step-by-step explanation:

Given

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

[tex]QR = x[/tex]

Required

PQ

Since Q is between the given points, then:

[tex]PR = PQ + QR[/tex]

This gives:

[tex]PR = 2x + 1 + x[/tex]

Collect like terms

[tex]PR = 2x + x+ 1[/tex]

[tex]PR = 3x + 1[/tex]

Next, solve for x

We have:

[tex]PQ = 25[/tex]

[tex]PQ = 2x +1[/tex]

This gives:

[tex]2x + 1 = 25[/tex]

Collect like terms

[tex]2x = 25 -1[/tex]

[tex]2x = 24[/tex]

Divide by 2

[tex]x = 12[/tex]

So:

[tex]PR = 3x + 1[/tex]

[tex]PR = 3 * 12 + 1[/tex]

[tex]PR = 37[/tex]

Answer:

197 in^2

Step-by-step explanation:

Add the areas of each face:

2 trapezoid faces:

(5+9) ÷ 2 x 5 = 35

2(35) = 70 in^2

2 squares:

5 x 5 = 25

2(25) = 50 in^2

Rectangular base:

5 x 9 = 45 in^2

Area of slanted rectangle:

6.4 x 5 = 32 in^2

Add:

32 + 45 + 50 + 70 = 197

The median penguin height is greater at Cityview Zoo than at Park

Zoo, Option C is correct.

Mode is the most occuring number.

The range is the difference of the highest value and the lowest value.

The median is the middle value in a set of data

After finding the range and medians of the given data.

The median penguin at Cityview Zoo is 42 cm tall,

The median penguin at Park Zoo is barely 41 cm tall.

Cityview Zoo's median penguin height is higher than that of Park Zoo.

Hence, the median penguin height is greater at Cityview Zoo than at Park Zoo.

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Step-by-step explanation:

Consider Similarity and enlargement

To get the enlargement factor,

Take the ratio result of any two similar sides. i.e

PQ/AB = 3.6/2 = 1.8

The enlargement factor is 1.8

To get ST, consider ED then multiply it by the enlargement factor. i.e

= 5 x 1.8

= 9

Answer:

The gain percent is 33.3 %

Step-by-step explanation:

Let the selling price of 1 m cloth is p.

Cost of 33 m = 33 p

gain = cost of 11 m = 11 p  

The gain percentage is given by

[tex]\frac{11 p}{33 p}\times 100\\\\= 33.3 %[/tex]

The gain percent is 33.3 %.

Answer:

[tex] log_{2}(20) - log_{2}(30) \\ log_{2}(20 \div 30) \\ log_{2}(0.667) [/tex]

hope this helps you

Brainliest appreciated

log1(20)-log2(30)

log2 (20÷30)

log2=0.667