Pete has some marbles. ben has 30 marbles more than pete.
leon has twice as many marbles as pete. the ratio of the number of
leon's marbles to the number of ben's marbles is 6: 5.

a: how many marbles do they have altogether?

b: if all the boys are to share the marbles equally, how many
more marbles must be given to pete?

9514 1404 393

Answer:

  see attachment

Step-by-step explanation:

The "experimental probability" is the ratio of actual outcomes of interest to the number of trials. It is based on actually performing the selection over and over some number of times. The "theoretical probability" will be the fraction that is the outcomes of interest divided by the total number of possible outcomes.

We note that Mel's purse contains a total of 6 +8 +4 +7 = 25 coins. The theoretical probability of selecting any given coin is then 1/25.

__

Orange

A. The experimental probability of selecting a dime is ...

  number of dime outcomes / number of trials = 30/150 = 1/5

B. The theoretical probability of selecting a dime is ...

  (4 dimes)/(25 coins) = 4/25

C. The assumption in probability experiments is that randomly selected outcomes will always approach the theoretical probability in their frequency of occurrence.

See the attachment for the appropriate answer choices.

__

Purple

A. The experimental probability of selecting a penny is ...

  number of penny outcomes / number of trials = 45/200 = 9/40

B. The theoretical probability of selecting a penny is ...

  (6 pennies)/(25 coins) = 6/25

C. The difference between these values is ...

  6/25 -9/40 = 48/200 -45/200 = 3/200

See the attachment for the appropriate answer choices.

Answer:

the answer is A since they are all rational and the rest are irrational.

Step-by-step explanation:

Answer:

4.25

Step-by-step explanation:

To find the slope:

 ⇒ must know the slope's formula

    ⇒ \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

        ⇒ \((x_{1} ,y_{1} )\) and \((x_{2} ,y_{2} )\) are any points on the line

           ⇒ we use (-1,2) and (0,5) since they are the only points that we

                know that are on the line

Let's solve:

  \(Slope = \frac{5-2}{0--1} =\frac{3}{1}\)

Slope is 3

Hope that helps!

A rectangle is a four-sided geometric shape with opposite sides that are parallel and equal in length. The opposite sides are called the length and width of the rectangle. Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = \(1162.75 m^2\)

a. The maximum area of turf that Toby needs to buy can be found by using the measurements given by James, which are the length and width of the rectangle.

The area of a rectangle is found by multiplying its length and width, so the maximum area of turf needed would be:

Area = length x width = 30m x 40m = \(1200 m^2\)

b. The minimum area of turf that Toby needs to buy can also be found by using the measurements given by James, but this time taking into account the margin of error due to the measurements being given to the nearest metre.

If the true length and width of the rectangle are slightly less than the measurements given by James, the mini  mum area of turf needed would be:

Area = (30m - 0.5m) x (40m - 0.5m) = 29.5m x 39.5m = \(1162.75 m^2\)

So the minimum area of turf that Toby needs to buy would be \(1162.75 m^2\)and the maximum area of turf that Toby needs to buy would be \(1200 m^2.\)

In general, the measurements given by James could be off by half a meter in both directions, therefore the minimum area of turf that Toby needs to buy would be the area calculated by taking into account the margin of error, in this case, it's \(1162.75 m^2.\)

The maximum area of turf that Toby needs to buy would be the area calculated using the measurements given by James, which is \(1200 m^2.\)

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The proportion of all adults go to a health club at least twice a week is 4%.

What is percent?

A percentage is a number or ratio expressed as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent sign, "%," is frequently used to indicate it. A percentage is a number without dimensions and without a standard measurement.

Given:

At the gym suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week.

The proportion of adults who belong to health clubs is 10% that is 0.10.

The proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.

Hence, the proportion of all adults go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

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The amount by which the population decreased from 2015 to 2020, to the nearest 100 people will be 101577.114.

We will use the concept of percentage to solve this problem. By using percentage we can write any number in multiples of 100 and we denote the percentage by the sign %. The population of the city in 2010 was 101000. Now the population grew by 6.2% so the population in 2015 will be

Population in 2015 = 101000 + 6.2% of 101000

Population in 2015 = 101000 + 6262

Population in 2015 = 107262

Now the population decreased from 2015 to 2020 by 5.3% and population in 2020 will be

Population in 2020 = 107262 - 5.3% of 107262

Population in 2020 = 107262 - 5684.886

Population in 2020 = 101577.114

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(a) The graph of the function is a straight line with a negative slope. (b) The range of the function is all real numbers. (c) The function is decreasing for all values of x. (d) The zero of the function is x = -18. (e) The function does not have any absolute extrema.

(a) To graph the function f(x) = -x - 21+3, we plot points on a coordinate plane. Here is the graph in image.

(b) The range of the function f(x) is all real numbers since the graph extends indefinitely both upwards and downwards.

(c) The function f(x) is a linear function with a negative slope of -1. Therefore, it is decreasing for all values of x. The interval on which the function is increasing is empty.

(d) To find the zeros of the function, we set f(x) = 0 and solve for x:

-x - 21+3 = 0

-x = 21-3

x = -18

The zero of the function is x = -18.

(e) Since the function is a straight line with a negative slope, it does not have any absolute extrema.

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The probability of having 7 boys in a family with 7 children is 1 out of 128, as there is only one favorable outcome out of 128 total possible outcomes.

To find the probability, we need to calculate n(E) and n(S).

In this case, event E represents the scenario where all 7 children are boys. The sample space S consists of all possible permutations of boys and girls for the 7 children, which is 2^7 = 128.

This is because each child has 2 possibilities (boy or girl), and we multiply these possibilities for all 7 children.

Since event E includes only one specific outcome (all boys), n(E) is equal to 1. Therefore, both n(E) and n(S) are 1 and 128, respectively. The probability of having 7 boys is given by n(E)/n(S) = 1/128.

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Answer:

They are congruent to one another because both triangles have all equal sides. Therefore they are congruent.

Step-by-step explanation:

Answer:

y = -2/9 |X| - 8

Step-by-step explanation:

I'm not certain whether the -7 is part of the |X| or it's just out of the equation. But shifting an equation up or down is very intuitive.

If you want to move an equation up a certain unit, you just add that many units (positive) onto the end of an equation. The same goes for moving a unit down, where you subtract that many units you want to go down.

Answer:

y=-2/9 |x| -8

Step-by-step explanation:

y = f(x) + C  C < 0 moves it down

y=-2/9 |x| -7 Shift down 1 by subtracting 1

y=-2/9 |x| -7-1

y=-2/9 |x| -8

Answer:

Yes

Step-by-step explanation:

12 - 8 / 4 - 2 --> Rise over Run

4/2 or 2

This is the slope

Y-Intercept:
12 (y2) - 8 (y1) = 4

In the present situation, the equation that best suits the sinusoidal function is given as:

(C) y = -12cos(1/12x)+ 12.

What is the meaning of a sinusoidal function?

A sinusoidal function is a function which oscillates smoothly, on a periodic basis, between high and low values. It is a sine-based function. Such a type of function is known as a sinusoidal function.

The cosine function, on the other hand, is just a horizontal shift of the sine function, can be used as a foundation for the sinusoidal functions.

A  mathematical curve also called as the sine wave, a sinusoidal wave or simply a sinusoid, can be described in terms of sine-trigonometric function, whose graph it is. It is a particularly a continuous wave or a smooth periodic function.

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Answer:

1/40

Step-by-step explanation:

Multiplication of fractions is just multiplying the numerators and denominators. 1 x 1 = 1

5 x 8= 40

So your answer is 1/40.

1/5 x 1/8 = 1/40

Hope this answer helps you on your math test and good luck.

The following are five activity ideas connected to the 5 math domains that can be done with children using the outdoor playground environment:

1. Numbers and OperationsChildren can create a math equation with numbers using a hopscotch game or math-related story problems.

It can help them develop their counting skills and engage in math talk such as addition, subtraction, multiplication, or division.

2. GeometryChildren can use chalk to draw shapes on the playground or can make shapes using a jump rope, hula hoop, or other materials.

They can discuss symmetry, shape names, edges, vertices, sides, and angles during the activity.

3. MeasurementChildren can measure things using a measuring tape, yardstick, or ruler.

They can measure things like the height of a slide, the length of a balance beam, or the distance they jump.

During the activity, they can learn words like length, height, weight, capacity, time, etc.

4. AlgebraChildren can play outdoor games that help them develop algebraic reasoning.

For example, they can play a game of "I Spy" where one child gives clues about a shape, and the other child guesses which shape it is.

In the process, they will use words such as equal, unequal, greater than, less than, or the same as.

5. Data and ProbabilityChildren can collect data outside using a chart or graph and then analyze the results.

For example, they can take a poll on which is their favorite equipment on the playground, and then graph the results.

In this activity, they can learn words such as graph, chart, data, probability, etc.

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Answer: 24

Step-by-step explanation:

¼ of Andy's sweets = 5 + 1 with Dan

¼ of Andy's sweet is 6

Andy has 6×4 sweet

In the conjugate gradient method, if v(k) = 0 for some iteration k, then it can be concluded that Ax(k) = b.

The conjugate gradient method is an iterative algorithm used to solve systems of linear equations. At each iteration, it generates a sequence of approximations x(k) that converges to the true solution x*. The algorithm relies on the concept of conjugate directions and minimizes the residual vector v(k) = b - Ax(k), where A is the coefficient matrix and b is the right-hand side vector.

If v(k) = 0, it means that the current approximation x(k) satisfies the equation b - Ax(k) = 0, which implies Ax(k) = b. This proves that x(k) is indeed a solution to the linear system.

The conjugate gradient method aims to find the solution x* in a finite number of iterations. If v(k) becomes zero at some iteration, it indicates that the current approximation has reached the solution. However, it's important to note that in practice, due to numerical errors, v(k) may not be exactly zero, but a very small value close to zero is typically considered as convergence criteria.

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Answer:from least to greatest:

1) g (x)

2) f (x)

3) h (x)

Step-by-step explanation:

Answer:

For f (x):

f (x) = (x + 3) ^ 2 - 2

For x = -1

f (-1) = (-1 + 3) ^ 2 - 2

f (-1) = (2) ^ 2 - 2

f (-1) = 4 - 2

f (-1) = 2

For x = 3

f (3) = (3 + 3) ^ 2 - 2

f (3) = (6) ^ 2 - 2

f (3) = 36 - 2

f (3) = 34

AVR = ((34) - (2)) / ((3) - (- 1))

AVR = 8

For g (x):

linear graph with and intercept of negative 3 over 2 and x intercept of 3

y = mx + b

b = -3/2

For me we have:

0 = m (3) - 3/2

3m = 3/2

m = 1/2

The function g (x) is:

g (x) = (1/2) x - 3/2

For x = -1

g (-1) = (1/2) (- 1) - 3/2

g (-1) = -1/2 - 3/2

g (-1) = -4/2

g (-1) = -2

For x = 3

g (3) = (1/2) (3) - 3/2

g (3) = 3/2 - 3/2

g (3) = 0

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

AVR = 1/2

For h (x):

Using the table we have:

AVR = ((62) - (14)) / ((3) - (- 1))

AVR = 12

Step-by-step explanation:

Answer:

A. 130 degrees

B. 50 degrees

Step-by-step explanation:

A. It's a straight line so the angle is 180. U subtract 50 from. 180 and u get 130

B. It 50 because it's vertically opposite angle to angle AEC

Answer:

a. the angle measure is 130°

b. the angle measure is 50°

Step-by-step explanation:

a. you have to subtract 180°- 50° to get 130°

b.angle AEC is congruent to angle DEB so they are both 50°

The value of k in the quadratic equation is k = 2

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

x² + kx - 5/4 = 0   be equation (1)

Now , on simplifying the equation , we get

If 1/2 is the root of given equation, then it will satisfy it.

So , when x = 1/2

( 1/2 )² + k ( 1/2 ) - 5/4 = 0

( 1/4 ) + k/2 - 5/4 = 0

k/2 - 1 = 0

Adding 1 on both sides of the equation , we get

k/2 = 1

Multiply by 2 on both sides of the equation , we get

k = 2

Therefore , the value of k is 2

Hence , the value of k in the equation is 2

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The correct answer is A. Standard deviation measures the dispersion or variability around the expected value or mean of a data set. It is a commonly used statistical measure to quantify the spread of data points.

Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences between each data point and the mean. By squaring the differences, negative values are eliminated, ensuring that the measure of dispersion is always positive.

A higher standard deviation indicates greater variability or dispersion of data points from the mean, while a lower standard deviation suggests that the data points are closer to the mean.

On the other hand, the mean (option B) is a measure of central tendency that represents the average value of a data set. It does not directly measure the dispersion or variability around the mean.

The coefficient of variation (option C) is a relative measure of dispersion that is calculated by dividing the standard deviation by the mean. It is useful for comparing the relative variability between different data sets with different scales or units.

The chi-square test (option D) is a statistical test used to determine if there is a significant association between categorical variables. It is not a measure of dispersion around the expected value.

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Answer:

35742

Step-by-step explanation:

Answer: 4 units to the right

Step-by-step explanation:

i took the quiz

Answer:

Step-by-step explanation:

Look at the File I attached. The Question says that a car travels 76 km north then 25 km east. Now think of this as the Right angled triangle I attached in the file.

a) Bearing from the staring point to the means the degrees of the part i marked with a question mark.

Now SOH CAH TOA

76 km is the ADJACENT

25 km is the OPPOSITE

and x is the HYPOTENUSE

We have the values of the ADJACENT and the OPPOSITE.

Now see which rule has both, It is TOA(tan rule) which is:

tan(y) = OPPOSITE/ADJACENT     (y is the degrees we will get)

tan(y) = 25/76  ( opposite of the degree we need is 25 and adjacent is 76)

tan inverse(25/76) = y  (inverse will be given as to the power -1 on the calculator)

FINAL ANSWER OF (a) = 18.21°

b) This part is asking for the length of the hypotenuse, which i denoted as x in the attached file.

For this part, you will use the Pythagoras Theorem

Which is :

   a² + b² = c²

Where c is the hypotenuse and a and b are the opposite and adjacent.

So

    76² + 25² = x²

     6401 = x²

  √6401 = x

     x = 80.01

Answer:

We can use proportion to estimate the number of households that have a dog in the town of Nowaday.

From the data given in the random sample, we know that 24 out of 60 households had a dog. This can be written as:

24/60 = x/3000

where x is the number of households in the town that have a dog.

To solve for x, we can cross-multiply and simplify:

24 x 3000 = 60 x x

x = (24 x 3000) / 60

x = 1,200

Therefore, we can estimate that approximately 1,200 households in the town of Nowaday have a dog.

Answer:

y=4

Step-by-step explanation:

4y+2+y=4y+6

4y-4y+y=6-2

y=4

hope it helps

Answer:

4

Step-by-step explanation:

Answer:

27 dollars

Step-by-step explanation:

9 dollars per hour and you multiply that by 3 hours to get 27 dollars.

Answer:

Daityn would of paid 27 dollars. This is because you can do 3*9

Step-by-step explanation:

Hope This Helps

Have A Great Day

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

Step-by-step explanation:

get the standard equation ,and use the formula solve it

Answer:

\(x = -3 \frac{ + }{} \sqrt{14} \)

Step-by-step explanation:

\(6x - 5 = {-x}^{2} \)

\( {x}^{2} + 6x - 5 = 0\)

a = 1, b = 6, c= -5

\(x = \frac{ - b \frac{ + }{} \sqrt{(b) {}^{2} - 4(a)(c)} }{2(a)} \)

Substitute then solve

\(x = \frac{ - 6 \frac{ + }{} \sqrt{( 6) {}^{2} - 4(1)(-5) } }{2(1)} \)

\(x = \frac{-6 \frac{ + }{} \sqrt{36 + 20} }{2} \)

\(x = \frac{ -6 \frac{ + }{} \sqrt{56} }{2} \)

\(x = \frac{ -6 \frac{ + }{}2 \sqrt{14} }{2} \)

\(x = -3 \frac{ + }{} \sqrt{14} \)

In a balanced reaction "2Al + 6HBr = 2AlBr3 + 3H2", HBr will get used up first so it's a limiting reactant and Al is in excess.

Since 2 moles aluminium are required for every 6 moles of hydrogen bromide, yet we only have 3.22 moles aluminium and 4.96 moles hydrogen bromide, it implies that HBr will get used up first and is hence the limiting reactant, while Al is in excess.

The limiting reagent is a substance that prevents a chemical reaction from occurring completely. When a limiting reagent is used in a chemical reaction, the atoms, molecules, or ions of the other reactant that it (the limiting reagent) reacts with will either remain free or unreacted.

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