What is the mean of 75,14,48,81,39,67,33,19

Answer:

you have it correct sir

Step-by-step explanation:

Answer:

\(3(x+1)^2(x-2)(x^2-4x+7)\\\\\)

I hope this helps and good luck!

Answer:

Step-by-step explanation:

The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.

Given that the radius of the circle is 13 millimeters, the circumference of the circle is:

2 * π * 13 = 26 * π millimeters

Since the value of π is approximately 3.14, the approximate circumference of the circle is:

26 * 3.14 = 81.64 millimeters.

The solution to the inequality is a coordinate of (-1.8, 0.6)

From the question, we have the following parameters that can be used in our computation:

y> -2x - 3

Y <4/3x +3

Next, we make a plot of the system to determine the solution

The shaded area in the plot represent the solution to the inequality

In this case, the shaded area has a coordinate of (-1.8, 0.6)

Hence, the solution is (-1.8, 0.6)

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Answer:

x=33

y=134

z=46

Step-by-step explanation:

Lets solve for Z first. It is in a triangle with 2 angles already known: 84 and 50. Because the 3 angles in all triangles add to 180...

z+50+84=180

z=180-50-84

z=46

Angles z and y are supplementary, because they exist on the same line and are cut off by one line segment. This means that their angles add to 180.

180=y+z

we already know that z=46

180=y+46

y=180-46

y=134

Now we can use the same rule we used to find z, to find x.

x+y+13=180

we just found that y=134

x+134+13=180

x=180-134-13

x=33

Five water glasses each minute, one minute to fill the cooler.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. what kinds of values and units

Let's say you go to the store to buy six apples.

You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples. Recognizing the units and values is crucial when using the unitary technique to a problem.

Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.

We are aware of the quantity of apples and the amount of money in the aforesaid problem.

According to our question-

divide 150 by 30 equal 5

= 5

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Answer:

77 is the correct answer I think so

Answer:

a)77

Step-by-step explanation:

The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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An "event" is an outcome of a population that has some probability of being selected.

In statistics, an event refers to a specific outcome or combination of outcomes of an experiment or random process. It represents a subset of the sample space, which is the set of all possible outcomes.

For example, let's consider rolling a fair six-sided die. The sample space consists of the numbers 1, 2, 3, 4, 5, and 6. An event could be rolling an even number, which consists of the outcomes 2, 4, and 6. Each of these outcomes has an equal probability of 1/6.

Events can also be combined using logical operators. For instance, the event of rolling a number greater than 3 and less than 6 would consist of the outcome 4 and 5. The probability of this event would be 2/6 or simplified, 1/3.

In summary, an event is a specific outcome or combination of outcomes from a population, and it has a certain probability of being selected.

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An "outcome" is an outcome of a population that has some probability of being selected.

An "outcome" refers to a specific result or observation that can occur in a given situation or experiment. In the context of a population, an outcome represents one possible result that could be selected or observed.

When we talk about a population, we are referring to a group of individuals or items that share a common characteristic. For example, a population could be all the students in a school, all the trees in a forest, or all the cars in a city.

In statistics, we often take samples from populations to make inferences or draw conclusions about the entire population. When selecting a sample from a population, each individual or item in the population should have some probability of being chosen. This ensures that the sample is representative of the population and provides reliable information.

For example, if we want to study the average height of all students in a school, we might randomly select a sample of students from the population (all students in the school). Each student in the population has some chance of being selected, which means each student represents a potential outcome of the sample.

In summary, an outcome in the context of a population refers to a specific result or observation that has some probability of being selected from the population.

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Considering that she does not know the population standard deviation, the hypothesis test that she should use is given by:

c. one-sample, left-tailed t-test for a mean.

First, we consider that she does not know the population standard deviation, hence a t-test should be used instead of a z-test.

Then, we consider that she suspects that the mean weight is less than 15 lb, and less is associated with a left-tailed test, instead of a right-tailed(associated with more) or a two-tailed(associated with different).

Hence option c is correct.

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Answer:

A.

Step-by-step explanation:

33.75 / 15 = 2.25 for one lunch

Answer:

C :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:  B) -56i - 24

This is the same as -24 - 56i

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

Explanation:

The 'i' refers to the imaginary number \(\sqrt{-1}\)

In other words, \(i = \sqrt{-1}\)

Squaring both sides gets us \(i^2 = -1\)

So,

\(x = -8(7i - 3i^2)\\\\x = -8(7i - 3(-1))\\\\x = -8(7i + 3)\\\\x = -8(7i) -8(3)\\\\x = -56i -24 \ \ \text{ .... Answer: Choice B}\\\\x = -24 - 56i\\\\\)

The result is in the form a+bi where a = -24 is the real part and b = -56 is the imaginary part.

The area of the surface of z2 = 2xy with 0 ≤ x ≤ 4 , 0 ≤ y ≤ 2, 0 ≤ z is 16.

To calculate the area of the surface defined by the equation z^2 = 2xy, we need to find the limits of integration for x and y. The given conditions are 0 ≤ x ≤ 4 and 0 ≤ y ≤ 2.

We can rewrite the equation as z = √(2xy), which represents the upper half of the surface since we are considering 0 ≤ z.

To calculate the area, we integrate the function √(2xy) with respect to x and y over the given limits. The integral expression becomes:

Area = ∫∫√(2xy) dx dy

Integrating with respect to x first, we have:

Area = ∫[0,2]∫[0,4]√(2xy) dx dy

Evaluating this double integral will give us the area of the surface.

By performing the integration, we find that the area of the surface is 16. Therefore, the correct answer is b.) 16.

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Answer:

Step-by-step explanation:

Graph #          Matching equation

1                             |-3x|

2                            |-x|

3                           -|2x|

You can tell which one matches by finding the slope and whether the V points up or down

The rotation R C, 90° ccw (P) = Q means 90 degrees counterclockwise rotation

The rotation transformation involves moving a shape or point in a circular path about a fixed point.

The rotation statement is given as:

R C, 90° ccw (P) = Q

ccw means counterclockwise rotation

So, the rotation R C, 90° ccw (P) = Q means that:

90 degrees counterclockwise rotation of point P to get point Q

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Answer:

9(4x+3)     :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

the first step in factorising is to look for any common factors.

27

and

36

are both multiples of

3

and

9

.

We use

9

because it is the highest common factor:

Divide

9

out of each term:

27+36x=9(3+4x)

The reverse process would be to use the distributive law to multiply each term in the bracket by

9

.

This will give us the original expression:

9(3+4x)=27+36x

A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.

This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.

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The apprοximate number οf students enrοlled in public schοοls in the United States is 7.68 × 10⁷, which cοrrespοnds tο chοice (C).

Unitary method widely used ease, already-present variables, οr all impοrtant elements frοm the οriginal Bishοp custοmizable questiοn can all be used tο achieve the gοal. If sο, a secοnd chance tο engage with the οbject will present itself. Otherwise, every crucial element that affects hοw well a prοοf οf an expressiοn wοrks will be gοne.

Here,

Tο sοlve this prοblem, we can start by multiplying the number οf students in the lοcal schοοl system by 480, since there are 480 times mοre students in public schοοls in the United States.

1.6 × 10⁵ × 480

= 7.68 × 10⁷

Therefοre, the apprοximate number οf students enrοlled in public schοοls in the United States is 7.68 × 10⁷, which cοrrespοnds tο chοice (C).

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K2/3 = 12Hence, K = (12)3/2 = 20.784 Profit maximizing value of K is 20.784.

Given the production function, (K, L) = 12K1/3L1/2 - 4K – 1, where K > 0,1 ≤ 20, L = π. We need to find the profit-maximizing level of K.

Profit maximization occurs where Marginal Revenue Product (MRP) is equal to the Marginal Factor Cost (MFC).To determine the optimal value of K, we will derive the expressions for MRP and MFC.

Marginal Revenue Product (MRP) is the additional revenue generated by employing an additional unit of input (labor) holding all other factors constant. MRP = ∂Q/∂L * MR where, ∂Q/∂L is the marginal physical product of labor (MPPL)MR is the marginal revenue earned from the sale of output.

MRP = (∂/∂L) (12K1/3L1/2) * MRLMPPL = 6K1/3L-1/2MR = P = 10Therefore, MRP = 6K1/3L1/2 * 10 = 60K1/3L1/2The Marginal Factor Cost (MFC) is the additional cost incurred due to the use of one additional unit of the input (labor) holding all other factors constant.

MFC = Wages = 5 Profit maximization occurs where MRP = MFC.60K1/3L1/2 = 5K1/3Multiplying both sides by K-1/3L-1/2, we get;60 = 5K2/3L-1Therefore,K2/3 = 12Hence, K = (12)3/2 = 20.784Profit maximizing value of K is 20.784.

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Answer:

Step-by-step explanation:

A radius to the tangent point always forms a right angle with the tangent:

m∠XWY = 90°

So:

  90° + 58° + x - 7° = 180°

    141° + x = 180°

        x = 39°

The area of shaded triangle is 20 square feet

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface.

Area of triangle = 0.5*base*height

Area of whole triangle = 0.5*8*10 =  40 square feet

Area of unshaded triangle = 0.5*4*10 =  20 square feet

Area of shaded triangle

= Area of whole triangle  - Area of unshaded triangle

=  40 - 20

= 20 square feet

Thus, the area of shaded triangle is 20 square feet

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Step-by-step explanation:

mass(m)= 3kg

height(h)= 2m

gravity(g)= 9.8 m/s^2

P.E.= mgh

=3*2*9.8

=58.8 Joule

Answer:

58.84 Joules

Step-by-step explanation:

3(Mass)*2(Height)*9.8=58.84J

In the above equation 3ln2 + ln8 = 2ln (4x), the value of x is 2.

According to the question, given that

Equation  3ln2 + ln8 = 2ln (4x)

  3ln2 + ln8 = 2ln (4x)

⇒ ln8 + ln8 = 2ln4x                                       (m l n n = \(lnn^{m}\))

⇒ 2ln8 = 2ln4x

⇒ 4x = 8

⇒ x = 2

Therefore, we get the value of x of given equation 3ln2 + ln8 = 2ln (4x) is 2

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It shows that the expressions printed on the left and right sides have an equal relationship.

Following are the steps to solve a linear basic equation with one variable:

Step 1: Apply arithmetic operations to both sides of the equation to bring all the terms with variables to one side and all the constants to the other.

Step 2: Add or subtract all phrases that are similar (terms with the same variable and the same exponent).

Step 3: Simplify it to find the solution.

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The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.

The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.

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