A student earned grades of 78, 72, 74, and 88 on her four regular tests. She earned a grade of 79 on the final exam and 88 on her class projects. Her combined homework grade was 89. The four regular
tests count for 40% of the final grade, the final exam counts for 20%, the project counts for 10%, and homework counts for 30% What is her weighted mean grade? Round to one decimal place.
O A. 82.5
OB. 71.0
O C. 63.6
OD. 81.5

Answer:

x = 14

Step-by-step explanation:

Two lines given in the picture intersect each other at a point.

Given angles are the linear pair of angles.

Since, linear pair of the angles is supplementary,

(7x - 1)° + (6x - 1)° = 180°

(7x + 6x) + (- 1 - 1) = 180

13x -2 = 180

13x = 180 + 2

x = \(\frac{182}{13}\)

x = 14

Therefore, x = 14 will be the answer.

The content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

Content dimensions is a generic concept to have multiple variants of a content node. It involves the information being explicitly discussed. The content repository supports any number of dimensions. The content dimension is the meaning of the actual message itself.

"Relational dimension of communication is a concept in which we have similar weight and impact as that of the message. This concept deals with the quality or nature of the relationships and networks."

Hence we can conclude that the content dimension of a message deals with the what of a message, while the relational dimension of a message deals with the how of a message is the correct answer.

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The reasonable domain for this function is 0 < x < 50

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

Given;

A = 50W - W2

The area of a rectangle cannot be negative;

The practical domain of A is determined when;

50W-W^2>0

Taking common factor W

W(50-W)>0

Since W must be positive W>0

50-W>0

Or equivalently

50>w

W<50

The total interval is

0<W<50

Therefore, the domain of the function will be 0 < x < 50

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Step 1

Use the law that the sum of angles on a straight line is 180° to find y given that x = 42°

Step 2

Using the law

x + y = 180°

After substitution

42 + y = 180

y = 180 - 42

y =138°

Answer:

the second one

Step-by-step explanation:

y = 2/3 (x +6)-5

Answer:

B

Step-by-step explanation:

Answer:

123

Step-by-step explanation:

hope this helps

Answer:

option.d 123°

DETAILED EXPLANATION:

angle JIK+ angle IJ L= 1 80 ( By CO Interior angle )

57° + angle IJL= 180°

angle IJ L = 1 80°-57°

angle IJL=123°

50,400 different anagrams can be made from the letters in the word statistics.

Given word : STATISTICS

Anagrams are words formed by jumbling the positions of the letters given in the word.

For such problems we do factorial of number of words and divide by the repeated letters factorials.

Total number of letters = 10

They can be permutated among themselves in 10! ways.

Some letters are repeated in word STATISTICS

Since, there are 3 S's and 3 T's and 2 I's

So, Number of anagrams = \(\frac{10!}{3!.3!.2!}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}\)

= \(\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}\)

= 10 × 9 × 8 × 7 × 2 × 5

= 50,400

50,400 different anagrams can be made from the letters in the word statistics.

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The ROC of the volume of a cube with respect to the length of its side is s > 0. The given rate of change of volume with respect to side length does not affect the calculation of ROC.

The volume of cube is given by V = s^3, where s is the length of its side.

Taking the derivative of V with respect to s, we get:

dV/ds = 3s^2

The rate of change of volume with respect to the length of the side s is given as:

dV/ds = 8

Substituting the value of dV/ds and solving for s, we get:

8 = 3s^2

s^2 = 8/3

s = ±√(8/3)

Since the length of side of a cube cannot be negative, we take the positive root:

s = √(8/3)

The radius of convergence (ROC) of the volume is s > 0, which means the series expansion of the volume of the cube in terms of the length of its side converges for values of s greater than zero.

Therefore, the ROC is s > 0.

The rate of change of volume does not affect the change in the calculation of ROC.

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Answer:

Irrational

\(\sqrt{3}\) = approx. 1.7

Step-by-step explanation:

The square root of 3 is irrational, because 3 is not a perfect square.

For example, 4 is a perfect square, so the square root (2) will be rational.

The square root of 3 is 1.73205080757,

and we can round this to 1.7 for the tenths place

Answer: Infinite solutions

Explanation: replace 3y with -2x and 3 which would be -6x and 9. So it would be 6x-6x+9=9

One reason a sample may fail to represent the population of interest is sampling error.

The correct answer is an option (c)

We know that the sampling error is a statistical error that occurs when an analyst does not select a sample which represents the entire population of data.

So, the results found in the sample and the results obtained from the entire population would be different.

This error occurs when the sample used in the study is not representative of the entire population.

A sampling error is nothing but a deviation in the sampled value vs. the true population value.

Even randomized samples might have some degree of sampling error because in randomized samples, sample is only an approximation of the population from which it is drawn.

There are different categories of sampling errors.

- Population-Specific Error

- Selection Error

- Sample Frame Error

- Non-response Error

- Eliminating Sampling Errors

Therefore, One reason a sample may fail to represent the population of interest is sampling error.

The correct answer is an option (c)

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Answer:

110

Step-by-step explanation:

Just trust me mate im in 7th grade

Answer:

The answer is r\(z^{2r}\)

Step-by-step explanation:

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

Step-by-step explanation:

Answer:

a) The probability of exactly 6 people increasing in the U.S. population in a given minute is approximately 0.1042 or 10.42%.

b)  The probability of more than three people increasing in the U.S. population in a given minute is approximately 0.3712 or 37.12%.

c) The probability of at most four people increasing in the U.S. population in a given minute is approximately 0.6288 or 62.88%.

a. To find the probability of exactly 6 people increasing in the U.S. population in a given minute, we can use the Poisson distribution with a mean of 4 people per minute:

\(P(X=6) = (e^(-4) * 4^6) / 6! = 0.1042\)

Therefore, the probability of exactly 6 people increasing in the U.S. population in a given minute is approximately 0.1042 or 10.42%.

b. To find the probability of more than three people increasing in the U.S. population in a given minute, we can use the cumulative distribution function of the Poisson distribution:

\(P(X > 3) = 1 - P(X ≤ 3) = 1 - ∑(k=0 to 3) [(e^(-4) * 4^k) / k!] = 1 - 0.6288 = 0.3712\)

Therefore, the probability of more than three people increasing in the U.S. population in a given minute is approximately 0.3712 or 37.12%.

c. To find the probability of at most four people increasing in the U.S. population in a given minute, we can again use the cumulative distribution function of the Poisson distribution:

\(P(X ≤ 4) = ∑(k=0 to 4) [(e^(-4) * 4^k) / k!] = 0.6288\)

Therefore, the probability of at most four people increasing in the U.S. population in a given minute is approximately 0.6288 or 62.88%.

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As per the given options, focal point of the problem is the Present value PV

A focal point is typically a decision made automatically by individuals in the absence of conversation. The context and the particular problem under consideration will determine the problem's focal point. Based on a discount rate, present value (PV) is the current value of a future financial amount. This idea is frequently applied in finance to assess the value of an investment or a potential cash flow.

PV can also be used to estimate how much cash is required right now to satisfy a financial obligation in the future. So, in some financial issues, figuring out the present value of a future cash flow can be the main concern, while in others, figuring out the future value or estimating the time it will take for an investment to achieve a specific value might be.

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Answer:

The y coordinate is 3

Step-by-step explanation:

Here, we want to find the y-coordinate of the line that divides the line segment in the given ratio.

To calculate this, we shall be using the internal division formula;

It is as follows;

( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

In this question;

m = 3 and n = 4

x1 = 0 , y1 = 6

x2 = -10, y2 = -1

Now substituting these values into the equation, we have;

(3(-10) + 4(0)/(3 + 4) , (3(-1) + 4(6)/(3+4))

= -30/7 , (-3 + 24)/7

= -30/7 , 21/7

= -30/7 , 3

Answer:

4

Step-by-step explanation:

I looked it up. Hope this helps

Answer:

its 4 or -4

Step-by-step explanation:

I used  The Using the slope-intercept

True. For any f(x), if f'(x) < 0 when x < cand f'(x) > 0 when x > c, then f(x) has a minimum value when x = c.

If a function f(x) is such that f'(x) is negative for x less than c and positive for x greater than c, then it indicates that the function is decreasing before x = c and increasing after x = c.

This behavior suggests that f(x) reaches a local minimum at x = c. The critical point c is where the function transitions from decreasing to increasing, indicating a change in the concavity of the function.

Therefore, when f'(x) < 0 for x < c and f'(x) > 0 for x > c, f(x) has a minimum value at x = c.

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The cook can make 30 pizzas using the 144 ounces of tomato sauce available

To determine how many pizzas the cook can make with the available sauce, we'll need to divide the total ounces of tomato sauce by the ounces of sauce used per pizza.
First, we need to convert the mixed number 4\(\frac{3}{4}\) into an improper fraction. To do this, multiply the whole number (4) by the denominator (4) and then add the numerator (3).
4 × 4 = 16
16 + 3 = 19
So, 4\(\frac{3}{4}\) is equivalent to \(\frac{19}{4}\)
Now we can set up our division problem:
\(\frac{144 ounces }{\frac{19}{4}ounces/pizza }\)= number of pizzas
To divide by a fraction, we multiply by its reciprocal:
144 × \(\frac{4}{19}\)= number of pizzas
Multiplying the fractions:
144 × \(\frac{4}{19}\) = \(\frac{576}{19}\) = number of pizzas
Since the cook can only make whole pizzas, we need to round down to the nearest whole number.
576 ÷ 19 = 30 (rounded down)

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Answer:

okay i will gladly

Answer:

0.25 is the probability

Step-by-step explanation:

If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.

The complex vector space of polynomials is a vector space over complex number fields and is composed of complex-valued functions of a complex variable.

A vector represents a mathematical entity with both magnitude and direction. When the vector elements are generally complex numerals, then the column space is referred to as complex. The set of polynomials in such a vector space generates the space over the domain of complex numbers by combining extra polynomials that are each specified portion and by multiplying each coefficient by the scalar.

In this vector space, the polynomials are vectors whereas the complex numerals are scalars. These requirements for the space are in addition also catered by this space, like the associativity and commutativity of vector addition, the presence of additive inverses, the distributivity of scalar multiplication over vector addition, and the existence of a neutral element with respect to vector addition.

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Answer:

Number of different selection = 50C6

Number of different selection = 50 x 49 x 48 x 47 x 46 x 45

Number of different selection = 15 890 700

Step-by-step explanation:

The number of the different ways of selections are possible will be 28,989,675.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

To win at LOTTO in a certain state, one must correctly select 6 numbers from a collection of 55numbers (one through 55).

The order in which the selections are made does not matter.

Then the number of the different ways of selections are possible will be

⇒ ⁵⁵C₆

⇒ (55!) / [(55 - 6!) × 6!]

⇒ (55 × 54 × 53 × 52 × 51 × 50 × 49!) / [49! × 6 × 5 × 4 × 3 × 2 × 1]

⇒ 11 × 3 × 53 × 13 × 51 × 25

⇒ 28,989,675

Thus, the number of the different ways of selections are possible will be 28,989,675.

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Answer:

\((a)\ y = 2x +8\)

\((b)\ y = 0\)

\((c)\ y = -5\)

Step-by-step explanation:

Given

\(y = x^2\)

First, graph \(y = x^2\) (See attachment)

We are not limited to any particular linear equation; as long as we meet the required condition

Solving (a): Equation of a line that intersects \(y = x^2\) at two points

Select any two points on opposite sides of the curve

The selected points are:

\((x_1,y_1) = (-2,4)\)

\((x_2,y_2) = (4,16)\)

Calculate slope (m)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{16 - 4}{4 - -2}\)

\(m = \frac{12}{6}\)

\(m = 2\)

The equation is then calculated using:

\(y = m(x - x_1) + y_1\)

This gives:

\(y = 2(x - -2) + 4\)

\(y = 2(x +2) + 4\)

Open bracket

\(y = 2x +4 + 4\)

\(y = 2x +8\)

Solving (b): Equation of a line that intersects \(y = x^2\) at one point

A good illustration of this is x-axis

Because it intersects with the line at just one point, which is origin (0,0).

The equation of line at this point is:

\(y = 0\)

Solving (c): Equation of a line that does not intersect \(y = x^2\)

Here, we make use of any horizontal line below the x-axis

Select any two horizontal points below the x-axis

\((x_1,y_1) = (-5,-5)\)

\((x_2,y_2) = (5,-5)\)

Calculate slope

\(m = \frac{-5--5}{5--5}\)

\(m = \frac{0}{10}\)

\(m = 0\)

The equation is then calculated using:

\(y = m(x - x_1) + y_1\)

\(y = 0(x - -5) + (-5)\)

\(y = 0-5\)

\(y = -5\)

Answer:

\(c \: \: y = 3x - 8\)

if you insert x and y value in equation you can find equation