graph the solution of the inequality x ≤ 3

There are 126 blue marbles.

Total marbles in the bag=150

There are 21 blue marbles for every 4 white marbles then the sequence will be⇒ 4+21+4+21+4+21+4+21+4+21+4+21=150

21 blue marbles appear 6 times for every 4 blue marbles

So 21×6=126 blue marbles and 4×6=24, then 126+24=150 total marbles

∴There will be a total of 126 blue marbles along with 24 white marbles among the 150 marbles.

Submitting an online survey is one example of volunteer sampling.

When researchers look for volunteers to participate in studies, they use voluntary sampling. Volunteers can be recruited in person, online, through public postings, and through a variety of other means. When using voluntary sampling, a researcher usually makes little effort to control the sample composition.

The customer satisfaction survey is a common form of voluntary sampling. When a company provides a service or a product, it frequently asks customers to rate their satisfaction. The sample is voluntary and biased because the company asks all customers to volunteer their opinions.

Researchers in academia frequently seek volunteer samples by asking students to participate in research or by looking for people in the community.  Volunteer samples are used for a variety of different types of research because they are inexpensive.

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A level of confidence of 95% was used in the case above. A table at the back of a statistics textbook can be used to get the value of z* for a certain confidence level. For a 95% confidence level, the value of z* is 1.96.

 An error margin of 3.92 is discovered when the value of z*, the demographic standard error, and the sample size are entered into the equation.

Statistical Estimation's Justification

Where does the confidence interval calculation formula come from?

The population mean's true value is never known; it can only ever be estimated or approximated. The easiest way of doing this is to choose many identical-sized random samples from the population.

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Answer:

496.5714285714

Step-by-step explanation:

82+79+85+100+46+92+88

7

=496.5714285714

The measure of the angle ∠C is 17°.

The angle having a measure equal to 32° and the angle ∠B form a linear pair. They are supplementary angles. When two lines cross, they generate a pair of neighbouring angles called a linear pair. A linear pair's two angles are always supplementary, which means their measurements add up to 180 degrees. The sum must be equal to 180°.

32° + ∠B = 180°

∠B = 180° - 32° = 148°

Now, we will use the angle sum property of a triangle. The sum of all the angles in a triangle is equal to 180°.

∠B + ∠C + 15° = 180°

148° + ∠C + 15° = 180°

∠C + 163° = 180°

∠C = 180° - 163° = 17°

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Regarding the situation described, it is found that:

The total amount invested is of $25.

1. You start making a profit when 15x - 25 > 0.

2. You earned $215 with this work.

With the investment, you made money (option b).

The investment was as follows:

Hence the total amount invested was of:

10 + 15 = $25.

The profit is given by revenue subtracted by costs.

In the context of this problem, the revenue and the cost functions are given as follows:

Hence the profit function is:

P(x) = R(x) - C(x)

P(x) = 15x - 25.

You start making a profit when:

P(x) > 0.

15x - 25 > 0.

The amount you earned mowing 16 lawns is of:

P(16) = 15(16) - 25 = $215.

(positive profit, hence you made money).

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Answer:

Step-by-step explanation:

When dividing, you always have to make sure that your remainder
(40) is ALWAYS less than your divisor (24)

24<40, so the students' answer is incorrect.

The equation of linear equation is y = -5x +3.

What is equation of linear equation?

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

The standard form or the general form of linear equations in one variable is written as, Ax + B = 0; where A and B are real numbers, and x is the single variable. The standard form of linear equations in two variables is expressed as, Ax + By = C; where A, B and C are any real numbers, and x and y are the variables.

The slope intercept form of linear equation is

y = mx + b

where m is the slope.

Given,

The slope = -5

and the points are (4, -17)

y = -17, x = 4, m = -5

-17 = -5(4) + b

-17 = -20 + b

-17 + 20 = b

b =3

The equation of linear equation is y = -5x + b

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Answer:

90 degrees is the amount of degrees in a right angle

Answer:

(x+10,y+8)

Step-by-step explanation:

If you look at the point (0,2) and it image (10,10)  To go from 0 to 10 you must move 10 spaces to the right.  That would be x + 10.

If you look at the same two points.  You would have to move up 8 spaces to go from 2 to 10.  That would be y + 8.

The same thing is true with the second two points given.

Answer:

41 pounds of raspberries and 25 pounds of grapes

Step-by-step explanation:

x = pounds of raspberries
y = pounds of grapes

1.50x + 2.75y = 130.25
x + y = 66 --> y = -x + 66

Substitute and solve for x:
 1.50x +2.75(-x +66) = 130.25
1.50x - 2.75x + 181.5 = 130.25
150x - 275x + 18150 = 13025
           -125x +18150 = 13025
                       -125x = -5125
                              x = 41

Substitute x to find y:
41 + y = 66
y = 25

Answer:

There were 41 pounds of raspberries sold and 25 pounds of grapes sold.

Step-by-step explanation:

A police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

Given that, a police officer is parked in a supermarket parking lot located at the junction of two streets. He wants to be equidistant from both streets.

A perpendicular bisector is a line that bisects a line segment in two equal parts and makes an angle of 90° at the point of intersection. In other words, we can say that a perpendicular bisector divides a line segment at its midpoint making an angle of 90°.

Perpendicular bisector: A line that bisects a line segment in two equal parts.

Median: The middle number; found by ordering all data points and picking out the one in the middle.

Angle bisector: The angle bisector in geometry is the ray, line, or segment which divides a given angle into two equal parts.

An altitude: Height, altitude, elevation mean vertical distance either between the top and bottom of something or between a base and something above it.

Therefore, a police officer wants to be equidistant from both streets. He should be on a perpendicular bisector.

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3 thousand 500 dollars

Step-by-step explanation:3x7=21

Answer:

I think it's 187.5

Step-by-step explanation:

I divided 150 by 20 and got 7.5.

i multiplied 7.5 by 25 and got 187.5

Hop this is correct and helps you.

Answer:

[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Divide the top and bottom on the fraction by 4

Answer:

-5/7

Step-by-step explanation:

know what to put here don't know how to explain!

Answer: 55.56%

Step-by-step explanation:

To find the percentage, we need to do part over whole. Part being the females and the total marathon runners being the total. So that would be 95/95+125, then 95/225, then 55.555555 and repeating. Then we would round that to 55.56%.

Answer:

Step-by-step explanation:

Percent increase is the percent of the increased value over the initial value.

In our case the increase is represented by the difference of values and the initial value is Value 1.

So the matching choice is D.

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

Answer choices in the comment:

The cost for 14 boxed lunches is $107.10.

From the information, the company orders 11 boxed lunches from a deli for $84.15. Therefore, we need to calculate the unit price and this will be:

= Total amount / Number of orders

= $84.15 / 11

= $7.65

Therefore, the value for 14 boxes will be:

= Unit price × Number of orders

= $7.65 × 14

= $107.1

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Answer:

x > 17

Step-by-step explanation:

x - 5 > 12 ( isolate x by adding 5 to both sides )

x > 17

-------------- from your comment

x - (- 5) > 12 , that is

x + 5 > 12 ( subtract 5 from both sides )

x > 7

Answer:

D

Step-by-step explanation:

The domain of this function is all real numbers because you can see that there are no endpoints on the graph. The function is going off of the graph, which means it is continuing aka never-ending.

(-∞,∞) aka all real numbers

Answer:

If two parallel lines are cut by a transversal, then the corresponding angles are congruent.

The cost of each adult ticket for watching movie at the theatre equals to $12.

Given data:

Student ticket price = $7

Group of 4 students and 3 adults paid $64 in all for movie tickets.

The computation of each of the adult ticket cost is as follows:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Now:

The cost of 1 student ticket = $7

The cost of 4 student ticket = $7(4)

Then, we get the following equation:

7(4) + 3x = 64

18 + 3x = 64

3x = 64 - 18

3x = 36

x = 12

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The values indicated trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

Trigonometric functions are the periodic functions that denote the relationship between angle and sides of a right-angled triangle e.g sine, cosine, tangent, etc.

Given: tan(β) = 7

Thus, β = arc tan 7 = 81.87

(a) cot(β) = 1/tan(β) = 1/7 = 0.14

(b) cos(β) = cos 81.87 = 0.14

(c)  tan(90-β) =  tan(90-81.87) = tan 8.13 = 0.14

(d) csc(β) = 1/sinβ = 1/sin(81.87) = 1.01

Therefore, the value of the trigonometric functions are cot(β) = 0.14, cos(β) = 0.14, tan(90-β) =  0.14 and csc(β) = 1.01

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The length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

A rectangle has length 3 cm greater than it’s width

Consider the width of the rectangle = x

The length of the the rectangle = x + 3

The area of the rectangle = 28 square centimeter

The area of the rectangle = The length of the the rectangle × The width of the rectangle

Substitute the values in the equation

x(x+3) = 28

Apply the distributive property

[tex]x^2[/tex]  + 3x = 28

[tex]x^2[/tex] + 3x -28 = 0

Split the middle term and solve the equation

[tex]x^2[/tex] -4x + 7x -28 = 0

Take common term outside

x(x-4) + 7(x-4) =0

Take common term outside

(x+7) (x-4) = 0

x = -7, 4

The length cannot be negative value

x = 4 centimeter

Then the length of the rectangle = x + 3

= 4 +3

= 7 centimeter

Hence, the length of the rectangle is 7 centimeter and the width of the rectangle is 4 centimeter

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Answer:

x ≥ -10

Step-by-step explanation:

Given equation,

→ 5x + 13 ≥ -37

Now the value of x will be,

→ 5x + 13 ≥ -37

→ 5x ≥ -37 - 13

→ x ≥ -50/5

→ [ x ≥ -10 ]

Hence, the value of x is -10.

Answer:

24,278

Step-by-step explanation:

Answer:

Probability = A. 2 / 5

Step-by-step explanation:

Probability = ( Number of Favorable Outcomes ) / (Total Number of Outcomes )

So the Total Number of Students = 20

Number of Students ( Dots ) scored more than 15 = 3+2+1+2 = 8

Probability = 8 / 20 = 2 / 5

Glad to Help

Answer: 12/20= 3/5

Step-by-step explanation:

you have to count all the dots on the dot plot to find your denominator which is 20.

then you count all the dots that are fifteen or more and there are 12 so 12/20 is the probability which is simplified into 3/5.

The required equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

The slope of a line is expressed as the gradient of the line.

Given that line passes through the points (-9,5), (17,-8)

Let the required line would be y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

x₁ = -9, y₁ = 5

x₂ = 17, y₂ = -8

⇒ y - y₁ = (y₂ - y₁)/(x₂ -x₁ )[x -x₁]

Substitute values in the equation, we get

⇒ y - 5 = (-8- 5)/(17-(-9))[x -(-9)]

⇒ y - 5 = (-13)/(26)[x +9]

⇒ y - 5 = -1/2(x +9)

⇒ y = -(1/2)x - 9/2 + 5

⇒ y = -(1/2)x + 1/2

Therefore, the equation of the line is y = -(1/2)x + 1/2 which passes through the points (-9,5), (17,-8).

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