Julia had a bag filled with gumballs. There were 1 watermelon, 2 lemon-lime, and 3 grape gumballs. What is the correct sample space for the gumballs in her bag?

A. Sample space = watermelon, lemon-lime, lemon-lime, grape, grape, grape
B. Sample space = lemon-lime, watermelon, grape
C. Sample space = 1, 2, 3, 4, 5, 6
D. Sample space = 1, 2, 3

The solution to the arithmetic progression is A = 94,188

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the sum of the arithmetic sequence be represented as A

Now , the value of A is

Let the zeroth term of the series be a₀

when i = 0

∑i=0 ( 2i - 312 ) = 2 ( 0 ) - 312

a₀ = -312

Let the first term of the series be a₁

when i = 1

∑i=1 ( 2i - 312 ) = 2 ( 1 ) - 312

a₁ = 310

So , the common difference d of the series = first term - zeroth term = 2

The value of d = 2

The number of terms n = 500

Sum of n terms of the arithmetic sequence is

Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Substituting the values in the equation , we get

A = a₀ + ( 500/2 ) [ 2 ( -310 ) + ( 500 - 1 ) ( 2 ) ]

On simplifying the equation , we get

A = -312 + ( 250 ) [ ( -620 ) + 499 ( 2 ) ]

A = -312 + ( 250 ) [ ( -620 ) + ( 998 ) ]

A = -312 + ( 250 ) [ 378 ]

A = -312 + 94,500

A = 94,188

Hence , the sum of the arithmetic sequence is 94,188

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Answer: C 14h + 30 = 240

Step-by-step explanation:

He gets paid 14 dollars an hour at his job, but we do not know how many hours he has worked this week, so we use the variable, h. He also gets a bonus of 30 dollars each week. SO the equation should be 14h + 30= 240. You can also solve for h using this information: First subtract 30 from 240= 210, and then divide that by 14 and you get h= 15

The fraction of the basketball team that are 6.14 feet is 2/5 of the 45 members

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

The number of members that are six feet tall or taller is 45

The number of members that 6.14 feet tall or taller is 18.

From the member of 6 feet tall or taller, the fraction of member that are 6.14 feet tall or taller is 18/45 = 6/15 = 2/5.

therefore 2/5 of the 6 ft tall or taller members are 6.14 feet tall or taller.

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Answer:

8 hours

Step-by-step explanation:

9 pair of earrings in 6 hours
=> 9 : 6 = 1,5 pair of earrings in 1 hour
12 : 1,5 = 8 hours

Karima can make 12 pair of earrings in 8 hours.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Given that, Karima made 9 pairs of earrings in 6 hours.

Let the number of hours it took to make 12 pair of earrings be x.

Now, the proportion is

9/6 =12/x

9x=72

x=8

Therefore, Karima can make 12 pair of earrings in 8 hours.

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The line QS represents nothing from the given options, option D is correct.

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given a ΔTQR

a line from Q intersects at TR at point S and divides angle Q to 30° and 34°,

The line QS is not a median, because a median divides the side into two equal halves, and the figure does not show that  ST is equal to SR.

The line QS is not an attitude because the figure has not specified the angle of S in line TR, if given that the ∠QSR = ∠QST = 90° then QS will be called altitude.

The line QS is also not an angle bisector because an angle bisector divides the angle into two equal parts but the given angles are not equal.

Hence option D is correct.

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The values of the x are, x = 5,  x = 1.

What is solving an equation?

The fundamental guidelines and procedures to simplify any algebraic expression are as follows:

By multiplying factors, remove any grouping symbols like brackets and parentheses.

If the terms contain exponents, use the exponent rule to eliminate grouping.

Add or subtract like terms to combine them.

Add the constants together.

Consider, the given equation

y = x²                            ..(1)

y - 6x + 5 = 0               ..(2)

Replace y = x²  in second equation.

       x² - 6x + 5 = 0

  x² - 5x - x + 5 = 0

x(x - 5) - 1(x - 5) = 0

      (x - 5)(x - 1) = 0

⇒  (x - 5) = 0,       (x - 1) = 0

x = 5,   x = 1

Hence, the values of the x are, x = 5,  x = 1.

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Answer:

x > -3

Step-by-step explanation:

4 - 4x < 16

- 4x < 16 - 4

- 4x < 12 (note that both can be divided by -4)

x > -3

That's the final answer.

AND if you're co fused about why the sign changed, you should always remember this

By negative num I mean any number that starts with a minus for example -2, -3, -5, -100

Based on the function, an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient is f(x) = (x+1)^2 -25. (Option D)

The function is f(x) = (x + 6)(x – 4). Solving the function

f(x) = (x + 6)(x – 4)

= x (x – 4) + 6(x – 4)

= x^2 – 4x + 6x – 24

= x^2 + 2x – 24

= x^2 + 2x + 1– 25

= (x + 1)^2 – 25

When x = -1, the value of f(x) = (-1 + 1)^2 – 25 = -25

Hence, the equation for which the minimum value of f appears as a constant or coefficient is (x + 1)^2 – 25.

Note: The question is incomplete. The complete question probably is f(x) = (x + 6)(x – 4). Which of the following is an equivalent form of the function f above in which the minimum value of f appears as a constant or coefficient? A) f(x) = x^2-24 B) f(x) = x^2+2x-24 C) f(x) = (x-1)^2 -21 D) f(x) = (x+1)^2 -25

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It can change be 6 5/8 as a percentage is 662.5%.

The percentage is defined as a ratio expressed as a fraction of 100.

To change a mixed fraction to a percent, you first need to convert the fractional part (in this case, 5/8) to a decimal. To do this, divide the numerator (5) by the denominator (8). In this case, 5/8 simplifies to 0.625.

Next, add the whole number (6) to the decimal from step 1 (0.625) to get 6.625.

Finally, multiply this sum by 100 and add the percent sign %, so 6.625 * 100 = 662.5%

So, 6 5/8 as a percent is 662.5%.

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Answer:ok sorry if this don't help pls come find me

Step-by-step explanation: In many companies, especially small and medium, where there is a strive to establish any work process, it has been observed that testers are a little puzzled about how to start, progress and finish their testing job in a hurried manner.

The project or test manager always pressurize the test team to complete testing as soon as possible. With this pressure, somebody starts with a great methodical way but cannot complete the testing; somebody tries to be fast by short-cutting it, but cannot achieve quality. So, there is a problem in daily practice.

Using the concept of proportionality to find the linear function, we can model it as y = 1/55 x

A mathematical function known as a linear function, when plotted, describes a straight line. It has the mathematical formula f(x) = mx + c, where m denotes the line's slope and c its y-intercept.

In this problem, we can represent the relationship between the number of miles Dave drives and the time he uses to cover that distance.

Since the number of miles he drove is given as y and the time he takes as x, we can represent this in a proportional relationship such that the proportionality constant will be used.

y = kx

55 miles = 1 hour

1 mile = x

x = 1 /55

This can be used as

y = 1/55 x

Where x is the time it takes to cover that distance

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The number of children in the group based on the information is 13.

Total number of cookies Abby baked = 124

Number of cookies remaining after children left the kitchen = 7

Number of cookies taken by the group of children = 124 - 7 = 117

Given that 117 cookies were equally shared by the children.

Let the number of children be x.

Number of children was more than 10 and less than 30

10 < x < 30

x will always be an integer.

Let a number of cookies each child took be c.

The prime factorization of 117 is 3*3*13.

As 117 = x * c

117, when written as the product of 2 numbers, that is x*c form, will be as given below:

1*117, 3*39, 9*13, 13*9, 39*3, 117*1

Given that 10 < x < 30. Therefore, we can only take 13 * 9 as the required x * c form.

x = 13 and c = 9

Number of children in the group is 13.

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Answer:

m∠A  = 38/3

Step-by-step explanation:

Sum of 3 angles of a triangle = 180°

m∠D + m∠A + m∠B = 180°

Substituting values given for each angle

121 + 2x + (x + 40) = 180

121  + 3x + 40 = 180

3x + 161 = 180

3x = 180-161 = 19

x = 19/3

m∠A = 2x = 38/3

At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.

The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. The line's slope is represented by the m. A straight line's slope is a measure of how steep it is. The gradient is another name for it. The slope equations. The ratio of a line's "change in y" to its "change in x" is known as the slope. You can get the slope of a line by dividing the distance between two points (x1,y1) and (x2,y2) by the distance between the two locations.

From the given information,

By using calculator,

A. Putting Temperature=20 in the given regression equation,

Predicted sales= 442.284

B. Slope=$ 30.0879

If temperature increases by 1 degree celsius then Sales increases by $30.0879, on average.

C. y-intercept= -159.474

At 0 degree celsius of temperature, Sales will be $-159.474 which is meaningless to interpret.

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When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.

The unit technique is a strategy for addressing issues that entails first figuring out the value of a single unit, then multiplying that value to figure out the needed value. Simply put, the unit technique is used to extract a single unit value from a multiple that is supplied. This procedure could follow a regular procedure. a single nation. anything has a distinct identity.

given

A standard shared labor equation can be employed because time varies inversely with the number of persons (i.e., the more people, the less time).

Let the finished task equal 1 and let a = the amount of time needed by the other person alone.

Each person will contribute a portion of the work, and the two fractions together equal one.

When the denominators are removed by multiplying through by 21a,

the answer is 12a + 21(12) = 21a 252

= 21a - 12a 252 = 9a a = 252/9 a

When they worked together, they finished the car in 12 minutes, but it took the second person 28 minutes to do it.

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These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

the triangle's circle's center. It is the point where the "perpendicular bisectors," or lines parallel to the centre of both sides, cross.

The intersection of any two perpendicular bisectors of any two triangle sides is known as the circumcenter of a triangle ABC.

The equation y=1 is the perpendicular bisector of sides B(3,0) and C(3,2). Because AB's midpoint is at 3,1 and its slope is unknown. The perpendicular bisector has zero slope. The equation for such a line is y=y1.

The equation for the perpendicular bisector of A(0,0) and B is also x=1.5 (3,0). The reason is that AB has a midpoint of zero slope and (1.5,0). The perpendicular bisector's slope won't be clearly defined. The equation for such a line is x=x1.

These two perpendicular bisectors will meet at (1, 5, 1). These are the coordinates of the triangle's circumcenter.

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Black and very dark greys are difficult for LCDs to produce. They consequently typically have lower contrast than CRTs and have less colour saturation for low intensity hues.

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The complete table showing the weight of Decker's object in pounds is;

Weight of Bode's object          Weight of Decker's object

20                                                         5

30                                                         6

60                                                         12

We are told that  Decker, can pick up objects that are 1/5 of the weight of the objects that Bode can pick up.

Thus;

If weight of Bode's object in pounds is 20 pounds, then the weight of Decker's object in pounds = 1/5 * 20 = 5 pounds

Similarly;

If weight of Bode's object in pounds is 30 pounds, then the weight of Decker's object in pounds = 1/5 * 30 = 6 pounds

Likewise;

If weight of Bode's object in pounds is 60 pounds, then the weight of Decker's object in pounds = 1/5 * 60 = 12 pounds

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35:20 and 28:20 are equivalent and proportional.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, 35:25 will be:

= 35 / 25

= 7 / 5

= 7:5

28:20 will be:

= 28 / 20

= 7/5

= 7:5

Therefore, they are equivalent and proportional.

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An expression that represents the distance that Reggie travels on the highway in h hours is Distance, D = 55h

An expression that represents Reggie's total distance from the

airport h hours after reaching the highway is Distance, D = 10 + 55h.

A distance is defined as an object's total movement without regard for direction. Distance is also defined as the amount of ground travelled by an object from its starting point to its final destination.

A distance can also be thought of as a scalar quantity, which means that the distance travelled by an object is independent of its motion direction. It is the entire path taken by an object. To calculate distance, we can use the formula below:

Distance[d] = Time[t] x Speed[s]

Displacement simply refers to a change in the position of a specific object. When an object moves from point A to point B, displacement occurs. Displacement is a vector quantity with both magnitude and direction.

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Answer:

The answer is C x-8

Step-by-step explanation:

one x is just x raised to the negative 8 is -8 so it is x -8

Predicting when Old Faithful will spurt next can be done by timing the previous eruption. the next eruption is expected to occur at 12:59. p.m

Generally, The eruption that begins at 11:32 a.m. will end at 11:36 a.m.

So, the next eruption will occur approximately 12.5t + 33 minutes after 11:36 a.m., which is 12.5 * 4 + 33 minutes after 11:36 a.m., or 83 minutes after 11:36 a.m.

Therefore, the next eruption is expected to occur at 12:59. p.m. (11:36 a.m. + 57 minutes).

To calculate this, you would first add the minutes (83) to the number of minutes in the starting time (36). This sum, 119, is greater than 60, so you need to carry over 1 hour from the minutes to the hours.

This leaves 19 minutes, which is less than 60, so the result is 12:19. However, you also need to add 1 hour to the starting time to account for the carried over hour, giving you a final result of 12:59.

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Luis must score 96 the fourth test to have an average score of exactly 90 for all four test.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that  Luis had a score of 75,96, and 93.

We have to find the  fourth test to have an average score of exactly 90 for all four test

Let the score of fourth test be x.

75+96+93+x/4=90

264+x=360

Subtract 264 on both sides

x=360-264

x=96

Hence, he must score 96 the fourth test to have an average score of exactly 90 for all four test.

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The numeric value of the expression in this problem is given as follows:

44.2.

The expression for this problem is defined as follows:

[tex]\pi \left(\frac{1}{\sqrt{2} - 1}\right)^2(\sqrt{2}+1)[/tex]

The first step is applying the square, which has higher precedence over multiplication.

For the square of a fraction, the square is applied to both the numerator and the denominator, and then the numerator is divided by the denominator, as follows:

[tex]\left(\frac{1}{\sqrt{2} - 1}\right)^2 = \frac{1^2}{(\sqrt{2}-1)^2} = \frac{1}{0.1716} = 5.83[/tex]

Then we have a multiplication of three terms, and the associative property states that the order of the factors do not change the product, hence:

π x 5.83 x (square root(2) + 1) = 44.2.

Which is the numeric value for the expression presented in this problem.

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Answer:

12 friends can eat pizza

Step-by-step explanation:

if there are 4 slices in each pizza and there are 3 pizzas and 1 slice per person then 12 people will get 1 slice

4x3=12

Answer:

Step-by-step explanation:

Gallons, 1, 2

Quarts, 4, 8

Pints, 8, 16

Cups, 16, 32

Fluid ounces, 128, 256

Dude, it's conversation rates, you could have just looked up gallons to quarts etc.

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

Explanation:

Let,

These equations are valid because segment AP bisects the angle CAB, i.e. it splits it into two equal pieces. Similarly, segment BP bisects angle ABC.

Then we can say,

Let's focus on triangle CAB. The three interior angles add to 180 degrees. This is true of any triangle.

(angleCAB)+(angleCBA)+(angleACB) = 180

(2x) + (2y) + (44) = 180

2x+2y+44 = 180

2(x+y+22) = 180

x+y+22 = 180/2

x+y+22 = 90

x+y = 90-22

x+y = 68

Normally we would try to isolate one variable, but I'll stop here. We'll use this later in the next section.

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

Now focus your attention on triangle PAB.

The three interior angles add to 180.

(anglePAB)+(angleABP)+(angleAPB) = 180

(x)+(y)+(z) = 180

x+y+z = 180

(x+y)+z = 180

68+z = 180 .... replace "x+y" with 68

z = 180-68

z = 112 degrees is the measure of angle APB.

Answer:

y = -2/3x - 18

Step-by-step explanation:

The equation can be rewritten in slope-intercept form by subtracting 9 from each side (to isolate y) and then multiplying both sides by 6/1 to clear the fraction. This gives us: y = -2/3x - 18, which is written in simplest form, using integers, proper fractions, and improper fractions. Hope this helps!

Answer:

First, let's find the total amount of time the children spent asleep: 10 hours - 7.5 hours = <<10-7.5=2.5>>2.5 hours

Then, let's find the amount of time the children spent dreaming by multiplying the total amount of time they spent asleep by 25%: 2.5 hours * 25% = <<2.525.01=.625>>.625 hours

We can represent this situation with the compound inequality: .625 hours <= x <= 2.5 hours

To graph this inequality, we can plot a point at 2.5 on the number line and shade in the region to the left of it. Then, we can plot a point at .625 on the number line and shade in the region to the right of it. The solution to the inequality is the region where both shaded regions overlap.

[asy]

unitsize(1 cm);

draw((-2,0)--(4,0));

draw((0,-1)--(0,1));

draw((-.2,0)--(0,.2)--(.2,0)--(0,-.2)--cycle);

draw((2.5,-1)--(2.5,1),dashed);

draw((.625,-1)--(.625,1),dashed);

label("$x$",(4,0),SE);

fill((-2,0)--(-2,1)--(2.5,1)--(2.5,0)--cycle,gray(.7));

fill((2.5,0)--(2.5,1)--(4,1)--(4,0)--cycle,gray(.7));

[/asy]

Step-by-step explanation:

The shaded region shows the possible set of solutions.

inequality : An inequality is used to make unequal comparisons between two expressions or numbers.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is the inequality as -

y > -3x + 2

The inequality is -

y > -3x + 2

Refer to the graph attached. It shows the possible set of solutions under the shaded region.

Therefore, the shaded region shows the possible set of solutions.

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