The school store sells erasers for $0.35 each and pencils for $0.15 each. Anthony spent $2.80 to buy a total of 12 erasers and pencils. How many erasers did Anthony buy?

The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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Answer:

\((2x + 3y^{2}) (2x + 3y^{2} )^{2}\)

Step-by-step explanation:

\(a^{3} + b^{3} = (a + b) (a^{2} - ab + b^{2})\) where a = 2x and b = \(3y^{2}\)

Answer:

9 jars

Step-by-step explanation:

If you have 25.5 cups of peaches and each jar holds 3 cup you just divide 25.5 by 3 and you get 8,5. But if you want to hold all the peaches you round up to 9 jars.

Looking at the graph we can see that around 25% of apartment residents pay between $700-749

And we also have around 4% that pay more than 749, then the total of residents that pay more than 700 will be

To match the answers we can round the 4% to 5%, which changes the result to

Therefore the correct result is 30%

Answer: Joe began with 36 books.

Step-by-step explanation:

x/2+18=36. 36+18=x. x/2-18=36.

Answer:

exponential equation

thia is the form of quadratic equation

Answer:

Yes, this is a rational function because it can be written as a ratio of two polynomials.

Step-by-step explanation:

no, because a square root is not a rational function, it is not a polynomial.

but the function has to be a fraction of 2 polynomials.

no matter what we do (we can e.g. multiply numerator and denominator by sqrt(x)), we cannot get rid of the square root in the overall function. we can move it up to the numerator and back down to the denominator, but it airways stays and converts at least one part of the fraction into simmering that is not a polynomial.

therefore, no.

Using Cooking measurements,

The value replacement for 3/4 cup is = 36 teaspoons or 12 tablespoons.

Cooking Measurements :

Calculate and determine the specific amounts of ingredients required using standard measuring equipment.

A measuring spoon, measuring cup, or measuring utensil.

Measuring Spoons come in a variety of sizes and materials. The smallest set of spoons measure smudges, pinches and dashes. Other sets include tsp (tsp) and tsp (tbsp)

we have given 3/4 cup and we want to replace it

Using the cooking measurement chart ,

1 cup = 16 tablespoons or 48 teaspoons

1/2 cup = 8 tablespoons or 24 teaspoons

we have 3/4 cup then

3/4 cup = 1 cup - 1/4 cup

1/4 cup = 4 tablespoons or 12 teaspoons

then , 3/4 cup = 16 tablespoons - 4 tablespoons

= 12 tablespoons or

3/4 cup = 48 teaspoons - 12 teaspoons

= 36 teaspoons

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Answer:

1) Option C is correct.

Difference should be 0.

2) Option D is correct.

The cutoff t-scores are -2.262, 2.262.

t < -2.262, t > 2.262

3) Option A is correct.

The variance = (135/10) = 13.5

Step-by-step explanation:

1) For any hypothesis test, the first step is usually to define the null and alternative hypothesis.

In hypothesis testing, especially one comparing two sets of data, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

For this test, the counselling psychologist wants to check if there is a difference, whether positive or negative between the procrastination times before and after attending the workshop.

So, the appropriate parameter to compute would be the difference in procrastination times before and after the workshop.

Then the null hypothesis would be that the difference between these two times is 0.

Alternative hypothesis would be that there is no difference between the two times.

Mathematically, if the difference between the two times is p.

The null hypothesis is represented as

H₀: p = 0

The alternative hypothesis is represented as

Hₐ: p ≠ 0

Hence, it is evident that the comparison population would be the difference scores being 0.

b) This test aims to test whether there's a negative or positive difference in the scores before and after the workshop.

So, the test will be in both directions. The cut off t-score indicating the rejection regions would be found using the significance level provided (0.05) and the degree of freedom.

degree of freedom = df = n - 1 = 10 - 1 = 9

t(9, 0.05) = ± 2.2622 (from the t-distribution tables)

c) Variance is an average of the squared deviations from the mean.

Mathematically, estimate of the population variance is given as

Variance = σ² = [Σ(x - xbar)²/N]

Where Σ(x - xbar)² = square of the deviations from the mean = 135

N = Sample Size = 135

So, variance = (135/10) = 13.5

Hope this Helps!!!

(-∞,8) is interval is the solution to set 0.35x – 4.8 < 5.2 – 0.9x.

0.35x - 4.8 < 5.2 - 0.9x

Adding 0.9x to both sides of equation.

0.35x - 4.8 + 0.9x < 5.2 - 0.9x + 0.9x

1.25x - 4.8 < 5.2

Adding 4.8 to both sides of equation.

1.25x - 4.8 + 4.8< 5.2 + 4.8

1.25x < 10

Dividing both sides of equation by 1.25

x < \(\frac{10}{1.25}\)

Hence x < 8

Thus, (-∞,8) interval is the solution to given set 0.35x – 4.8 < 5.2 – 0.9x.

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Answer:

i dont understand

Step-by-step explanation:

Answer:

$1.5 and $8.75

Step-by-step explanation:

Given data

let tables be x and chairs be y

The total cost to rent 3 chairs and 2 tables is $22

so

3x+2y=22----------1

The total cost to rent 5 chairs and 6 tables is $60

so

5x+6y=60---------2

the system of equation is

3x+2y=22----------1X 6

5x+6y=60---------2X 2

 18x+12y= 132

- 10x+12y=120

8x+0y= 12

8x= 12

divide both sides by 8

x= 12/8

x=$1.5

put x= 1.5 in 2

5(1.5)+6y=60---------2

7.5+6y=60

6y=60-7.5

6y=52.5

divide both sides by 6

y= 52.5/6

y=$8.75

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

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The covariance of X and Y when X = aU + bV and Y = cU + dV is ac + bd.

If U and V are independent random variables, both having variance 1, then the covariance of X and Y can be found using the formula for covariance of two random variables:

Cov(X, Y) = E[(X - E[X])(Y - E[Y])]

Since X = aU + bV and Y = cU + dV, we can substitute these values into the formula:

Cov(X, Y) = E[(aU + bV - E[aU + bV])(cU + dV - E[cU + dV])]

Using the properties of expected value, we can simplify this expression:

Cov(X, Y) = E[(aU + bV - aE[U] - bE[V])(cU + dV - cE[U] - dE[V])]

Cov(X, Y) = E[(a(U - E[U]) + b(V - E[V]))(c(U - E[U]) + d(V - E[V]))]

Cov(X, Y) = E[ac(U - E[U])² + ad(U - E[U])(V - E[V]) + bc(V - E[V])(U - E[U]) + bd(V - E[V])²]

Since U and V are independent, the expected value of the product of their deviations from the mean is zero:

E[(U - E[U])(V - E[V])] = 0

So the covariance of X and Y simplifies to:

Cov(X, Y) = E[ac(U - E[U])²] + E[bd(V - E[V])²]

Cov(X, Y) = acE[(U - E[U])²] + bdE[(V - E[V])²]

Cov(X, Y) = acVar(U) + bdVar(V)

Since the variance of both U and V is 1, the covariance of X and Y is:

Cov(X, Y) = ac + bd

Therefore, the covariance of X and Y when X = aU + bV and Y = cU + dV is ac + bd.

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Answer: a rational number

Answer:

D

Step-by-step explanation:

To find the standard function, open the bracket

f(x) = (x-2)^2 + 6

(x-2)^2 becomes

x(x-2) -2(x-2)

= x^2 -2x -2x + 4

= x^2 -4x + 4

Now add 6 and it becomes x^2 -4x + 4 + 6

= x^2 -4x + 10

Answer:

THE ANSWER IS AS FOLLOWS

Step-by-step explanation:

The following statements are true based on the given information:

- The largest total number of electronic devices sold was on Wednesday.

- The smallest number of TVs sold was on Monday.

- The same number of phones was sold on each of Monday, Tuesday, and Wednesday. (Note: we cannot tell from the chart whether this number was zero or some other value.)

- On Tuesday, more tablets were sold than any other type of electronic device.

A graph is a way to represent a lot of data in such a visual format.

Hence, The correct statements are A, B, and D.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The statement that is correct about the given table is,

A.) The largest total number of electronic devices sold was on Wednesday.

B.) The smallest number of TVs sold was on Monday.

D.) On Tuesday, more tablets were sold than any other type of electronic device

hence, the correct statements are A, B, and D.

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Answer:

60 km/hr

Step-by-step explanation:

Let the speed at the initial average speed from Town X to Town Y be a.

We are told that it journeyed to Town Z at an average speed 20 km/h faster than its initial average speed. Thus, its average speed here is (a + 20) km/hr.

Town Y was 200 km from Town Z.

Thus, time spent here is;

t_2 = 200/(a + 20)

Time from X to Y is; t_1 = 150/a

We are told that it took the same time to travel for both parts of the journey.

Thus; t_1 = t_2

150/a = 200/(a + 20)

Cross multiply to get;

150(a + 20) = 200a

150a + 3000 = 200a

200a - 150a = 3000

50a = 3000

a = 3000/50

a = 60 km/hr

1) The wavelength of A is equal to 6.98 × \(10^{-8}\)meters

2) The wavelength of B is equal to 3.45 × \(10^{-11}\) meters

Since we know that the wavelength = speed of light / frequency

The speed of light is 3.00 × \(10^8\) meters per second.

For light sample A with a frequency of 4.30 × 10^15 Hz can be calculated as;

wavelength of A = (3.00 ×  \(10^8\)  m/s) / (4.30 × 10^15 Hz)

wavelength of A = 6.98 ×  \(10^{-8}\) meters

For light sample B with a frequency of 8.70 × \(10^18\) Hz can be calculated as;

wavelength of B = (3.00 ×  \(10^8\) m/s) / (8.70 ×\(10^18\) Hz)

wavelength of B = 3.45 ×  \(10^{-11}\)  meters

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Given radius of circle = 35 cm

\(\color{plum}(\pi \: value = \frac{22}{7} )\)

Then, circumference (perimeter) of circle :

\( = 2\pi r\)

\( = 2 \times \frac{22}{7} \times 35\)

\( = \frac{44}{7} \times 35\)

\( = \frac{1540}{7} \)

\(\color{plum}\bold{ = 220 \: cm}\)

Therefore, the circumference(perimeter) of this circle = 220 cm

Answer:

Yes, you will have enough ribbon

Step-by-step explanation:

16/4 divided by 1/8

32 people will get ribbon

Answer:

Yes you have enough

Step-by-step explanation:Multiply 1/4 times 2 that is 2/8, Already 2 people done.22 people are left and 4 whole yards of ribbon are left too, for every yard of ribbon you have right now its 8 people so , 4 times 8 is 32.So you have enough.

Answer:

Step-by-step explanation:

since EG bisects angle DEF

31 = x + 15

31 - 15 = x

x = 16 degree

6x - 4 = 56

6x = 56 + 4

x = 60/6

x = 10

Answer:

8. 16

9. 10

abcdefghijklmnopqrstyvwxyz

Answer:

Step-by-step explanation:

√49/√729 = 7/27

Answer:

This gives us a square with an area of 225 square units.

Step-by-step explanation:

To find the dimensions of the rectangle with the largest area for a given perimeter of 60, we need to use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.

In this case, we know that P = 60, so we can write:

60 = 2l + 2w

Simplifying this equation, we get:

30 = l + w

To find the largest area of the rectangle, we need to maximize the product of the length and the width, which is the formula for the area of a rectangle, A = lw.

We can solve for one variable in terms of the other using the equation above. For example, we can write:

w = 30 - l

Substituting this expression for w into the formula for the area, we get:

A = l(30 - l)

Expanding and simplifying this expression, we get:

A = 30l - l^2

This is a quadratic equation in l, which has a maximum value when l is halfway between the roots. We can find the roots using the quadratic formula:

l = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = -1, b = 30, and c = 0, so we get:

l = (-30 ± sqrt(30^2 - 4(-1)(0))) / 2(-1)

Simplifying, we get:

l = (-30 ± sqrt(900)) / -2

l = (-30 ± 30) / -2

So the roots are l = 0 and l = 30. We want the smaller value first, so we take l = 0 and find w = 30. This would give us a rectangle with zero area, so it is not a valid solution.

The other root is l = 30, which gives us w = 0. Again, this is not a valid solution because we need both dimensions to be positive.

Therefore, the dimensions of the rectangle with the largest area for a perimeter of 60 are:

l = 15 and w = 15

This gives us a square with an area of 225 square units.

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Answer: Less than or equal to 45

Step-by-step explanation:

Let's use algebra to write the inequality.

Let h be the number of hamburgers purchased and t be the number of tacos purchased.

Each hamburger costs $5.50 and each taco costs $2, so the total cost of h hamburgers and t tacos is:

5.5h + 2t

Serenity has a total of $45 to spend, so we can write:

5.5h + 2t ≤ 45

This is the inequality that represents the possible values for the number of hamburgers purchased, h, and the number of tacos purchased, t.

Note that the inequality is less than or equal to 45, since Serenity cannot spend more than $45.

To represent the possible values for the number of hamburgers and tacos purchased, an Inequality can be written as 5.5x + 2y ≤ 45.

To write an inequality to represent the possible values for the number of hamburgers purchased (h) and the number of tacos purchased (t), we need to consider the cost of each item and the total amount Serenity has to spend.

Let's assume Serenity buys x hamburgers and y tacos. Each hamburger costs $5.50, so the total cost of hamburgers purchased would be 5.5x. Each taco costs $2, so the total cost of tacos purchased would be 2y.

The total amount Serenity has to spend is $45. Therefore, the inequality that represents the possible values for h and t is: 5.5x + 2y ≤ 45.

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Answer:

They both have the same slope of 2. Their y-intercepts are different. One is -2 and the other is -3/2.

Step-by-step explanation:

4x-2y=4

4x - 4 = 2y

(divide 2 by both sides)

2x-2=y

-4x+2y=-3

2y=4x-3

(divide 2 both sides)

y = 2x - 3/2

Answer:

a. A statistical that estimates a population parameter

Step-by-step explanation:

A point estimate is a mathematical or statistics term that describes that is used as a means of revealing an estimated value of some parameter. It utilizes a single value, which can sometimes be the statistic mean to carry out the process of point estimation.

Hence, in this case, the correct answer is Option A: A statistical that estimates a population parameter

Answer:

What is a biased sample? How can biased sampling affect the statistical study of a

population?

Answer:

9 and 10 i dont know why they have us doing this confusing  stuff

Step-by-step explanation: