The average of six numbers is 4. If the average of two if those numbers is 2,what is the average of the other 4 numbers?

Answer:

Step-by-step explanation:

1. Write an equation to find the number of toppings, x, when you would pay for the same amount for Pizza A and B.

So, we have to make a relationship between Pizza A and Pizza B, and this is talking about the pizza and toppings so,

$10 + $1.50x = $12.50 + $1.00x

Now we solve for the x values and the starting amount of money,

0.50x = 2.50

and that gives us,

$5

The answer also solves for the bottom one, the answer you need on the top one is,

$10 + $1.50x = $12.50 + $1.00x

The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7

Information from the question

the statement: -2/7 is at most the product of a number and -4/5

Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to

at most means the highest value hence the answer is either the number or less.

let the number be x

x * -4/5 ≤ -2/7

--4x/5 ≤ -2/7

Learn more about inequality:

brainly.com/question/29244324

#SPJ1

Answer:

y=1

Step-by-step explanation:

2y+5y-7=0

Combine y: 7y-7=0

Move 7 over: 7y=7

Divide by 7:y=1

g(x) = -3x + 3

g(-2)= -3.(-2) + 3

=6 + 3

=9 ✔

Answer:

$478.80

First I added up al the people, which equaled 38.

Then, I multiplied 38 by 12 and got 456

Finally I added the tax (22.80) and got $478.80

Answer:

  C.  51 -10√2

Step-by-step explanation:

You want the square of 5√2 -1.

The square of 5√2 -1 can be found using the distributive property.

  \((5\sqrt{2}-1)^2=(5\sqrt{2}-1)(5\sqrt{2}-1)\\\\=5\sqrt{2}(5\sqrt{2}-1) -1(5\sqrt{2}-1)\\\\=(5\sqrt{2})(5\sqrt{2}) -5\sqrt{2}-5\sqrt{2}+1\\\\=25(\sqrt{2})^2-10\sqrt{2}+1\\\\=25\cdot2+1-10\sqrt{2}=\boxed{51-10\sqrt{2}}\)

Answer: The answer is 7x.

Step-by-step explanation:

Answer:

The answer is x=9 and y=1

Step-by-step explanation:

First, you have to substitute x from -4x to 9y which is -4(9y).

That would equal -36y.

Then the second equation would look like this:

-36y + y = -35

Then simplify. If you add -36y and y, it would equal -35y.

-35y = -35

Divide -35 on each side.

y = 1

To find the x value, you have to plug 1 into the first equation. (It doesn't matter which equation you plug into).

So if you plug it into the first equation it would look like this:

9(1) = x

9 = x

Answer:

A

Step-by-step explanation:

6/3 = 2

Answer:

$2 each

Step-by-step explanation:

3 pounds of apples for $6

$6÷3 lbs= $2 each pound

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

Answer:

1. C 2.B .  

Step-by-step explanation:

answer : 1. A+ 5/4 +19/4 ,,,,, 2. 14/4 = 7/2

Hope it helps :)

Answer:

What is the equation that models this scenario?

✔ A + 5/4 = 19/4

and

How many pounds of apples did Angelica buy?

✔ 14/4 = 7/2

Step-by-step explanation:

Hope this helps!! :)

The probability that the mean lifespan from the sample of 999 houseflies  is less than 242424 days is almost zero

Standardize the sample mean lifespan and find the corresponding probability using the standard normal distribution.

The formula for the standardized sample mean is:

z = (X - μ) / (σ / √n)

Where:

X = sample mean lifespan = 242424 days

μ = population mean lifespan = 262626 days

σ = population standard deviation = 121212 days

n = sample size = 999

Substituting the values in the formula, we get:

z = (242424 - 262626) / (121212 / √999) ≈ -10.33

The corresponding probability can be found using a standard normal distribution table or calculator. Alternatively, we can use the formula:

P(z < -10.33) ≈ 0

This means that the probability of obtaining a sample mean lifespan of 242424 days or less, assuming a population mean of 262626 days and a population standard deviation of 121212 days, is extremely low (almost 0).

Learn more about standard normal distribution here

brainly.com/question/17009149

#SPJ4

The number of independent variables that can be tested in a single experiment depends on various factors, including the research design, resources, and the complexity of the study. In general, it is best to limit the number of independent variables to maintain control over the experiment and facilitate clear interpretation of results.

In simpler experiments, researchers often focus on a single independent variable to study its effect on the dependent variable while controlling for other factors. This allows for a clear cause-and-effect relationship to be established.

However, in more complex experiments, researchers may introduce multiple independent variables to examine their combined effects or interactions. This can provide insights into how different factors influence the outcome simultaneously.

The exact number of independent variables that can be tested in a single experiment varies, but it is generally recommended to keep the number manageable and avoid excessive complexity. This ensures that the experiment remains feasible, interpretable, and effectively addresses the research question or hypothesis.

Learn more about Independent Variables at

brainly.com/question/17034410

#SPJ4

The operationalization of the used constructs of the model is not typically considered a part of the theoretical aspects of a model. The correct option is (B).

Operationalization refers to the process of defining and measuring the variables or constructs in a study. It involves turning abstract concepts into observable and measurable variables.

On the other hand, the theoretical parts of a model typically include:

A. The hypotheses corresponding to the model: This refers to the specific statements or predictions derived from the theoretical framework of the model.

Hypotheses provide testable expectations about the relationships between variables in the model.

C. A logical explanation of the relationship within a model: This involves providing a theoretical rationale or logical explanation for the expected relationships between variables in the model.

It is the theoretical framework that underlies the model and helps in understanding the underlying mechanisms or processes.

D. A graphical representation of the model: Graphical representation, such as diagrams or visual models, can be used to depict the structure or relationships within a model. It helps in visualizing the connections between variables and understanding the overall framework.

Therefore, B. The operationalization of the used constructs of the model does not belong to the theoretical parts of a model.

To know more about operationalization refer here:

https://brainly.com/question/30636311#

#SPJ11

The probability of landing heads exactly 11 times when a coin is tossed 20 times is option a) 0.1602

The repeated tossing of a coin follows a binomial distribution

P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ ⁻ ˣ⁾

where,

n = No. of times the experiment was repeated

x = random variable defining the number of "successes"

p = probability of "success"

Here

"succeess" is the event of landing a head.

n = 20

x = no. of times heads should show, i.e 11

p = probability of landing a head in a single toss

= 1/2

Hence, putting all this in the formula above we get

P(X = 11) = ²⁰C₁₁ 0.5¹¹ (1 - 0.5)⁽²⁰ ⁻ ¹¹⁾

= ²⁰C₁₁ 0.5¹¹ 0.5⁹

= ²⁰C₁₁ 0.5²⁰

= 20!/ 11! (20 - 11)! X 0.5²⁰

= a) 0.1602

Complete Question

An unbiased coin is tossed 20 times.

Find the probability that the coin lands heads exactly 11 times

a. 0.1602

b. 0.5731

c. 0.2941

d. 0.1527

e. 0.6374

To learn more about probability visit

https://brainly.com/question/12844710

#SPJ4

Kyle's claim is incorrect. The fact that the ratio of the corresponding sides of two quadrilaterals is equal does not guarantee that the quadrilaterals are similar.

There are other criteria that need to be met to establish similarity between quadrilaterals.

For two quadrilaterals to be similar, not only must the ratios of their corresponding sides be equal, but their corresponding angles must also be congruent. This condition is known as the Angle-Angle Similarity Criterion (AA criterion). In other words, if the corresponding angles of two quadrilaterals are congruent, and the ratios of their corresponding sides are equal, then the quadrilaterals are considered similar.

Simply comparing the ratios of the corresponding sides is not sufficient to determine similarity. It is possible for two quadrilaterals to have equal ratios of corresponding sides but different corresponding angles, which means they would not be similar.

To establish the similarity of quadrilaterals, it is necessary to compare both the ratios of corresponding sides and the congruence of corresponding angles. Only when both conditions are satisfied can we conclude that the quadrilaterals are similar.

In summary, Kyle's claim is incorrect. The ratio of corresponding sides alone is not enough to determine the similarity of quadrilaterals. Both the ratios of corresponding sides and the congruence of corresponding angles must be considered to establish similarity.

Learn more about quadrilaterals at: brainly.com/question/29934440

#SPJ11

Answer: Um B and D are irrational numbers.

Step-by-step explanation:

Answer:

there are 20 movies

Step-by-step explanation:

The value of b in an expression which is equivalent to bx and both a and b are constants will be 3a.

Given that the expression is equivalent to bx,

where b is a constant, and a is also a constant.

We are to find the value of b.

To solve this question, we need to remember that a constant multiplied by a variable is the coefficient of that variable. Thus the coefficient of x in the expression given will be the value of b.

Hence, b = 3a. Therefore, the value of b is 3a.

To know more about constants refer here:

https://brainly.com/question/27875513

#SPJ11

The volume of the sphere of radius 7 is \(1176 * \pi\) cubic units.

To find the volume of a sphere of radius 7 using polar coordinates, we can first observe that the equation of a sphere centered at the origin with radius r is given by:

\(x^2 + y^2 + z^2 = r^2\)

In polar coordinates, this equation becomes:

\(r^2 = x^2 + y^2 + z^2 = r^2 cos^2(\theta) + r^2 sin^2(\theta) + z^2\)

Simplifying this equation, we get:

\(z^2 = r^2 - r^2 sin^2(\theta)\)

The volume of the sphere can be found by integrating the expression for \(z^2\) over the entire sphere.

Since the sphere is symmetric about the origin, we can integrate over a single octant (0 <=\(\theta\) <= \(\pi/2\), 0 <= \(\phi\) <=\(\pi/2\)) and multiply the result by 8 to obtain the total volume of the sphere.

Thus, we have:

V = 8 * ∫∫\((r^2 - r^2 sin^2(\theta))^(1/2) r^2 sin(\theta) dr d(\theta) d(\phi)\)

Since the sphere has a radius of 7, we have r = 7 and the limits of integration are as follows:

0 <= r <= 7

\(0 < = \theta < =\pi/2\)

\(0 < = \phi < = \pi/2\)

Using these limits and integrating, we get:

V = 8 * ∫∫\((49 - 49 sin^2(\theta))^(1/2) (7^2) sin(\theta) dr d(\theta) d(\phi)\)

=\(8 * (4/3) * \pi * (49)^2/3\)

= \(1176 * \pi\)

Therefore, the volume of the sphere of radius 7 is \(1176 * \pi\) cubic units.

Learn more about volume of the sphere

brainly.com/question/9994313

#SPJ11

Answer:

ready-steady paint

Step-by-step explanation:

if he needs 12 tins, and purchased from paint -O  mine, he would spend (12/3) X 7.50 = 4 x 7.50 = £30

from ready steady, he can buy 4 for £11. he needs 12.

so he will spend (12/4) X 11 = 3 X 11 = £33. but he can get 15% off. 15% off is the same as multiplying by 0.85.

33 X 0.85 = £28.05.

so he his better purchasing from ready steady paint

When we subtract a velocity vector from another velocity vector, the result is B. another velocity.

When we subtract a velocity vector from another velocity vector, we are essentially finding the difference between the two velocities. This difference is also a velocity vector, but in a different direction and with a different magnitude. Therefore, the answer is another velocity, option B.

It is important to note that acceleration is a change in velocity, not the result of subtracting one velocity from another. Scalar refers to a quantity with only magnitude, whereas velocity is a vector quantity with both magnitude and direction. Displacement refers to the change in position of an object and is not directly related to subtracting velocity vectors.

To know more about velocity visit:

https://brainly.com/question/14534415

#SPJ11

Answer:

x>6

Step-by-step explanation:

answer is above

Answer:

x>6

Step-by-step explanation:

3x/2 - 2 > 7

+2>+2

3x/2>9

2(3x/2)>(9)2

3x>18

3x/3>18/3

x>6

Answer:

a

Step-by-step explanation:

both the end points are around the same number

Answer:The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. ... For example, -5 is an integer but not a whole number or a natural number.

Step-by-step explanation:

Answer:

25: 10.71123852 or 10.7 millimeters

50:  10.07431926 or 10.1 millimeters

Step-by-step explanation:

Plus in age number for a since a represents the age, then solve.

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

To find the minimum score required for an A grade, we need to determine the cutoff point that corresponds to the top 13% of scores.

Given that the scores on the test are normally distributed with a mean of 69.5 and a standard deviation of 9.5, we can use the standard normal distribution to calculate the cutoff point. Using a standard normal distribution table or a statistical calculator, we find that the z-score corresponding to the top 13% is approximately 1.04. To find the corresponding raw score, we can use the formula:

x = μ + (z * σ)

where x is the raw score, μ is the mean, z is the z-score, and σ is the standard deviation. Plugging in the values, we have:

x = 69.5 + (1.04 * 9.5) ≈ 79.58

Rounding this to the nearest whole number, the minimum score required for an A grade would be 80. Therefore, a student would need to score at least 80 on the test to achieve an A grade according to the professor's grading scheme.

Learn more about grade here

https://brainly.com/question/30659423

#SPJ11

Answer:

15mi

Step-by-step explanation:

9:30am to 11:10am equals 100 minutes

100 minutes divided by 10 minutes per segment equals 10 segments

1.5 miles per segment multiplied by 10 segments equals 15 total miles