Mrs.Reynolds is picking up 17 playground balls after recess and she wants to put the same number of balls into each ball bin . What are the different ways she could group the balls

Answer:-7.5

Step-by-step explanation:

If we take out the negative and make it 24 ÷ 3.2, it would be 7.5 since 3.2 would go into 24 7.5 times. But since we changed it to figure it out, we have to change it back with the rule that "a negative x negative is a positive" meaning that the

24 ÷ 3.2 = 7.5

would change to

24 ÷ (-3.2) = -7.5 OR

Positive ÷ negative = negative

(And this goes with any operation)

To convert 75 feet into inches:

75 feet = 75 * 12 inches = 900 inches.

To convert 67 yards into miles:

67 yards = 67 * 0.333 miles = 22.311 miles (rounded to the nearest 2 decimal places).

To convert 34 cups into grams:

34 cups = 34 * 8 ounces = 272 ounces

272 ounces * 28.35 grams/ounce = 7709.2 grams (rounded to the nearest 2 decimal places).

To convert 16 gallons into quarts:

16 gallons = 16 * 4 quarts = 64 quarts.

To convert 14 pints into ounces:

14 pints = 14 * 16 ounces = 224 ounces.

To convert 600 milligrams to pounds:

600 milligrams = 600 * 0.00000220462 pounds = 0.00132 pounds (rounded to the nearest 2 decimal places).

To convert 3 kilograms to ounces:

3 kilograms = 3 * 35.274 ounces = 105.822 ounces (rounded to the nearest 2 decimal places).

To convert 200 centigrams to milligrams:

200 centigrams = 200 * 10 milligrams = 2000 milligrams.

To convert 18 meters into inches:

18 meters = 18 * 39.37 inches = 708.66 inches (rounded to the nearest 2 decimal places).

To convert 2500 centimeters into yards:

2500 centimeters = 2500 * 0.0109361 yards = 27.09 yards (rounded to the nearest 2 decimal places).

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Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

The null hypothesis (H0) for this test is that the proportion of customers who try out the samples being offered is 0.15 or less. The alternative hypothesis (Ha) is that the proportion of customers who try out the samples being offered is more than 0.15.
The researcher wants to test whether the proportion of customers who try out the samples being offered is higher than 0.15, which means the null hypothesis states that the proportion is 0.15 or lower. The alternative hypothesis, on the other hand, suggests that the proportion is greater than 0.15. The researcher will conduct a hypothesis test to determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.
Therefore, The null hypothesis is that the proportion of customers who try out the samples being offered is 0.15 or less, while the alternative hypothesis is that the proportion is more than 0.15.

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Answer:

It’s b

Step-by-step explanation:

If you add 5 to each data point in a set of data with a mean of 50 and a standard deviation of 10, the mean of the new set of data will become 55. The standard deviation of the new set of data will remain the same at 10.

The term standard deviation is frequently used in statistics to quantify the dispersion or spread of a set of data. The standard deviation is a measure of the amount of variation or dispersion of a set of data values from the mean. Standard deviation is denoted by the symbol s or σ (sigma).

The term mean or arithmetic mean is used in statistics to refer to the value that represents the central tendency of a data set. It is computed by dividing the sum of all data values into a data set by the total number of data points. The formula for computing the mean is given as:

mean = (sum of data values) / (total number of data points)

When you add 5 to each data point in a data set with a mean of 50, the sum of all data values in the data set will increase by (5 * n), where n is the total number of data points. Consequently, the new mean will be given as:

new mean = (sum of new data values) / (total number of data points)

⇒ [(sum of old data values) + (5 * n)] / n ⇒ (50n + 5n) / n ⇒ 55

When you add a constant value to each data point in a data set, the measure of central tendency, i.e., mean, median, and mode will also be shifted by the same constant value. This is because the sum of all data values in the data set increases by the product of the constant value and the total number of data points, n.

The measure of variability or spread, i.e., range, interquartile range, variance, and standard deviation, however, remains the same because it is independent of the location of the data values in the data set. Therefore, adding a constant value to every data point in a data set does not change the spread of the data set but shifts the measure of central tendency to a new value.

Hence, the mean of the new dataset will increase by 5, from 50 to 55, and the standard deviation of the new dataset will remain the same at 10.

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Answer:

Equation- p-6= -14

Answer- p=-8

Step-by-step explanation:

Answer:

total angles in triangle = 180

180 = 44+56+ y

y = 180-44-56

y = 80°

now to find z and x

we know the 2 straight lines are parallel (indicated by arrows)

x = 56°

z = 44°

how?

alternate angles theorem

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size. Alternate angles are equal: We can often spot interior alternate angles by drawing a Z shape: There are two different types of alternate angles, alternate interior angles and alternate exterior angles.

Answer:

the origin or middle

Step-by-step explanation:

like this:

                    l

                    l

    -----------here-----------

                    l

                    l

Answer:

0heads of hair, 0 hours

Step-by-step explanation:

If x is the point reached by F after t seconds, and y is the point reached by S after t seconds, then x = 3t, y = 2t. 30 seconds after leaving point 0, 30 units far apart are F and S. At 100 seconds, F and S will be 100 units apart.

The speed of F reached 12 units in 4 seconds or 3 units per second.

 x = 3t

The speed of S reached 8 units in 4 seconds or 2 units per second.

 y = 2t

x - y = 3t -2t = t

After 30 seconds, the bugs will be apart by (x -y) = 30 units

x - y = 100 = t

After 100 seconds, The bugs will be 100 units apart.

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The average number of credit hours per semester for all students at the local college is 9.2.

It is given that,

at the local college a study sound that students earned an average of 9.2 credit hours per semester.

⇒ x = 9.2 credit hours per semester

Therefore by the central limit theorem,

x = μ  = 9.2 credit hours per semester

The central limit theorem states that the distribution of a sample variable approximates a normal distribution as the sample size becomes larger, assuming that all samples are identical in size, and regardless of the population's actual distribution shape.

Therefore the average number is 9.2 credit hours per semester for all students at the local college.

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The function f(x) = ⌈x^4⌉ is not one-to-one because different x-values can produce the same y-value. Therefore, there exist counterexamples where distinct inputs map to the same output.

To determine if the function f(x) = ⌈x^4⌉ is one-to-one, we need to examine whether different inputs produce different outputs (i.e., distinct x-values map to distinct y-values).

Let's consider the function's behavior. Taking the ceiling of x^4 ensures that the output is always an integer. The key observation is that for any positive integer n, there exist multiple values of x that yield the same output of n.

For example, let's consider n = 1. Both x = 0.5 and x = 0.6 would result in f(x) = ⌈x^4⌉ = 1. Similarly, for any other positive integer n, there are multiple x-values that produce the same output.

Therefore, the function f(x) = ⌈x^4⌉ is not one-to-one since different x-values can map to the same y-value, providing a counterexample.

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SOLUTION

The given equation is:

To graph the equation, calculate a few values of y

When x=3, it follows:

It follows that the point (0,4) is on the graph.

Following the same procdure few other possible points are:

The graph of the function is shown below:

The amount of fertilizer required for a 200 square-foot garden is 5 pounds.

According to the given data, the directions say to use 4 pounds of fertilizer for 160 square feet of soil. Then, for 1 square foot of soil, Omar needs 4/160 = 0.025 pounds of fertilizer.So, to find the amount of fertilizer needed for 200 square feet of soil, we will multiply the amount of fertilizer for 1 square foot of soil with the area of Omar's garden.i.e., 0.025 × 200 = 5 pounds of fertilizer.
So, Omar needs 5 pounds of fertilizer for a 200 square-foot garden.

Therefore, the amount of fertilizer required for a 200 square-foot garden is 5 pounds.

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Answer: y < 5x+6

Step-by-step explanation:

Answer: 37.68 feet.

Step-by-step explanation:

To find the diameter of a circle, use the equation:

C = 2 * pi * r, where r is the radius of the circle.

The diameter is 12 feet, and the radius is 6 feet.

C = 12 * pi

C = 37.68 feet.

Answer: 5m

Step-by-step explanation: multiply the numbers.

DNE in each coordinate of the ordered triplet are y is -7 , DNE ,y is-2.

1.) 2+3 = y + 12

Make y the formula's subject after adding the LHS.

5 = y + 12

Y = 5 - 12

Y = - 7

The answer to the equation is -7

2.) 2 + 13 = 1 +8

The equation cannot have a solution since there is no unknown variable and the sum of the numbers on the left hand side (LHS) does not equal the sum of the numbers on the right hand side (RHS).

3.) y - 7 = 2 - 11

RHS is added, and y is become the formula's subject.

Y - 7 = -9

Y = -9 + 7

Y = -2

The equation's answer is -2.

The complete question is:Solve the following system of equations. If there is no solution, write DNE in each coordinate of theordered triplet. If there are an infinite number of solution, write each coordinate in terms of z.2+3 = y + 12

2 + 13 = 1 +8

y - 7 = 2 - 11

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Answer:

The amount of yards the running back gained was 76 yards

Step-by-step explanation:

Have a nice day/night :)

(a) When performing an ANOVA with the data the alternative hypothesis is at least two of the restaurants have different mean delivery times.

(b)75.8

Analysis of variance. or ANOVA, is a statistical method that separate observed variance data into different components to use for additional tests. A one way ANOVA is used for three or more groups of data, to gain information about the relationship between the dependent and independent variables.

The ANOVA table shows how the sum of squares are distributed according to source of variation, and hence the mean sum of squares.

It is given that a pizza lover wants to compare the average delivery times.

Therefore the null hypothesis and alternate hypothesis implies that,

H₀ =  all restaurants have equal mean delivery time

Hₐ = at least two restaurants have different two deliveries

Hence the alternate hypothesis for performing an ANOVA with the data is at least two of the restaurants have different mean delivery times.

The alternate hypothesis (Hₐ) defines that there is a statistically important relationship between two variables. Whereas null hypothesis states that is no statistical relationship between the two variables.

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the extreme value theorem does not guarantee the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2).

To determine whether the extreme value theorem guarantees the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2), we need to check if the function satisfies the conditions of the theorem.

The extreme value theorem states that if a function is continuous on a closed interval [a, b], then it must have both an absolute maximum and an absolute minimum on that interval.

In this case, the interval (-2, 2) is an open interval, not a closed interval. Therefore, the extreme value theorem does not directly apply to this interval.

However, we can still analyze the function within the given interval to determine whether it has an absolute maximum or minimum.

The function f(x) = 10^4x is an exponential function with a positive base. Exponential functions with positive bases are continuous over their entire domain, including the interval (-2, 2). Since f(x) is continuous on the interval, it is possible for it to have an absolute maximum or minimum within the interval.

To find the extreme values, we can analyze the behavior of the function as x approaches the endpoints of the interval (-2, 2). As x approaches -2, the value of f(x) approaches 0, and as x approaches 2, the value of f(x) approaches a large positive value.

Therefore, in this case, we cannot directly conclude the existence of an absolute maximum or minimum within the interval (-2, 2) based on the extreme value theorem, as it is not applicable to open intervals. However, by analyzing the function and its behavior, we can see that there is no absolute maximum value and that the function approaches positive infinity as x approaches 2.

In summary, the extreme value theorem does not guarantee the existence of an absolute maximum and minimum for the function f(x) = 10^4x over the interval (-2, 2).

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The value of x for the congruent sides is determined as 12.

The value of x in the given expression is calculated by applying the following formula.

From the given diagram, we have line AB congruent to line AD;

AB ≅ AD

So we will have the following equation;

15x + 4 = 2x + 160

The value of x is calculated as;

15x - 2x = 160 - 4

13x = 156

x = 156/13

x = 12

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Answer:

Step-by-step explanation:

Answer:

n = 18

Step-by-step explanation:

Corresponding parts of similar triangles are in same ratio

\(\frac{FG}{XY}=\frac{HG}{YZ}\\\\\frac{n}{6}=\frac{15}{5}\\\\n=\frac{15}{5}*6\\\\n=3*6\\\\n=18\)

Using the statistical formula, the median of the given data-set is 20.5.

It is given that

Number of touchdowns in 10 sessions are:

29, 5, 26, 20, 23, 18, 17, 21, 28, 20

The median is the middle number in a sorted, ascending, or descending, list of numbers and can be more descriptive of that data set than the average.

For the median, let us arrange the given data in ascending order.

5, 17, 18, 20, 20, 21, 23, 26, 28, 29

Number of terms = 10

Median of n terms when n is even is given by:

(n/2^th term+ (n/2 +1)^th term)/2

n/2 th term = 5th term = 20

(n/2+1)th term = 6th term = 21

So median= (20+21)/2 = 20.5

Therefore, the median of the given data-set is 20.5

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Answer:

The range is 24 touchdowns.

The interquartile range is 8 touchdowns.

Step-by-step explanation:

Answer:  The amount of grain it can hold can also be called it's volume. 423.9

The formula for volume is PI × Raduis² × Height

And for the radius we divide the diameter by 2.

Answer:

Option A.

V = π × r(9)² × 15 ≈ 3,817.04

Which rounds closest to

3,815.10 inches

9514 1404 393

Answer:

  (2x +1)/(4x^2) . . . . except x=0, -1

Step-by-step explanation:

Addition of fractions works in the usual way:

  a/b +c/d = (ad +bc)/(bd)

Division of fractions works in the usual way:

  (a/b)/(c/d) = (ad)/(bc)

__

  \(\dfrac{\left(\dfrac{1}{2x}+\dfrac{1}{2x+2}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{1}{x}+\dfrac{1}{x+1}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{2x+1}{x(x+1)}\right)}{\left(\dfrac{2x^2}{x(x+1)}\right)}\\\\=\boxed{\dfrac{2x+1}{4x^2}}\)

The expression is undefined for any denominator equal to zero: x=0 or x=-1.

If I earned $2 more than Andrew at the end of the day, then the value of t  is \(1\frac{2}{3}\)

Number of hours that I used to work = 1 hour

My hourly pay =  $3t - 3

My total pay at the end of the day = Number of hours x hourly pay

My total pay at the end of the day = 1 (3t - 3)

My total pay at the end of the day = $ 3t - 3

Number of hours that Andrew used to work = 3t -5 hour

Andrew's hourly pay =  $2

Andrew's total pay at the end of the day = Number of hours x hourly pay

Andrew's total pay at the end of the day = 2 (3t - 5)

Andrew's total pay at the end of the day = $ 6t - 10

At the end of the day, I earned $2 more than Andrew

My total pay = Andrew's total pay + 2

3t - 3   =  6t - 10  +  2

6t  -  3t  =  -3 +10 - 2

3t  =  5

t  =  5/3

\(t = 1\frac{2}{3}\)

If I earned $2 more than Andrew at the end of the day, then the value of t  is \(1\frac{2}{3}\)

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Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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