Question 2 of 25The coach of a college basketball team categorizes the number of pointsscored by the team in each game, with the categories being 51 - 57, 58 - 64,65 - 71, and 72 or more. If the following data represent the numbers ofpoints scored in the last 10 games, how many games were in the 51 - 57category?51, 70, 63, 59, 56, 75, 60, 55, 67, 64O A1B. 2O c. 4O D. 3

Christian, this is the solution to the problem:

p = 2l + 2w

Solving for l, we have:

2l = p - 2w

Dividng by 2 at both sides:

2l/2 = (p - 2w)/2

l = (p - 2w)/2

The correct answer is D.

200 is the 17th term of the progression

What is arithmetic progression?

Arithmetic progression or arithmetic sequence (AP) is a numerical series in which the difference between subsequent terms is constant. The sequence 5, 7, 9, 11, 13, 15,..., for example, is an arithmetic progression with a common difference of 2. A finite arithmetic progression, or simply an arithmetic progression, is a finite section of an arithmetic progression. An arithmetic series is the sum of a finite arithmetic progression. An arithmetic series is the sum of the elements of a finite arithmetic progression. A closed expression determines the product of the members of a finite arithmetic progression with a beginning element a1, common differences d, and n elements in total.

This can be solved using arithmetic progression

Aₙ = a + (n - 1)d

where, Aₙ = 24, d = 35 - 24 = 11

so, n = (Aₙ - a)/d + 1 = (200-24)/11 + 1 = 17

Hence, 200 is the 17th term of the progression

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The probability of drawing a blue socks and white socks is 1/12.

Given that, a drawer contains 10 red socks, 6 white socks and 8 blue socks.

Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes.

As we know the probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes = 10+6+8=24

Probability of getting blue socks = 8/24 = 1/3

Probability of getting white socks = 6/24 =1/4

Now, probability of an event = 1/3 × 1/4 = 1/12

Therefore, the probability of drawing a blue socks and white socks is 1/12.

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Solution

For this case we need to take in count that in music 3/4 time can be grouped into 3 groups of 2 eight notes and then the answer for this case would be:

6/8

Answer:  [tex](x,y) \to (x+8, y+4)[/tex]

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

Explanation:

The x coordinate of A and A' are -3 and 5 respectively.

This is an increase of +8 since -3+8 = 5

Therefore, we shift the preimage 8 units to the right to get the image point.

That explains how x turns into x+8.

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The y coordinates of A and A' are 1 and 5 respectively.

This is an increase of +4, so we shift the preimage up 4 units.

This signals that y turns into y+4

--------------

To recap we found that,

Therefore we get to the answer [tex](x,y) \to (x+8, y+4)[/tex]

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To check the answer, let's apply this translation to point A(-3,1) and we should get (5,5) as the result.

[tex](\text{x},\text{y})\to(\text{x}+8,\text{y}+4)\\\\(-3,1)\to(-3+8,1+4)\\\\(-3,1)\to(5,5)\\\\[/tex]

This confirms the answer is correct.

Answer:

Step-by-step explanation:

The quadratic equation in standard form is represented by:

For the following equation;

Compute all the terms on the left side, equalizing 0:

The expression that can be said to as equal to log(xy / z) is the expression logx + logy - logz and this can be found out through the logarithmic identities.

The “basic” logarithmic function can be seen as the the function, y=logbx, where x, b>0 and b≠1.

In the kind of complex analysis that we come across three types of logarithms namely ln, log and Log are used.

In mathematics log tends to always mean the natural log.

Log is often seen as the main and principal branch that comes under the complex logarithm.

Logarithmic functions are said as important only largely because of their relationship to the kind of exponential functions. Logarithms can also be used to solve any kind of exponential equations and thus help to explore the properties of exponential functions.

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Given:

a. H0: µ = 0

b. H0: µ ≥ 0

c. H0: µ ≤ 0

d. H0: µ

Required:

To choose the hypotheses that is not valid.

Explanation:

The null hypothesis: It is a statement of no difference between sample means or proportions or no difference between a sample mean or proportion and a population mean or proportion. In other words, the difference equals 0.

Here the option d is not valid.

Final Answer:

The option d is not valid.

H0: µ < 0

Given:

The length of the base of the triangular base of the prism, b=7 in.

The altitude of the triangular base, l=5 in.

The height of the prism, h=13 in.

Now, the volume of the prism can be calculated as,

Therefore, the volume of the triangular prism is 227.5 cu. in.

Answer:

Step-by-step explanation:

You want a sequence of transformations that maps ∆ABC to ∆A'B'C' where the vertices are A(-5, 3), B(-2, 3), C(-4, 1), A'(8, -2), B'(5, -2), and C'(7, 0).

Segment AB is a 3-unit line segment directed to the right. Segment A'B' is a 3-unit line segment directed to the left. This means there is no dilation involved in the transformation. At least, the figure has been reflected left-to-right.

Point C is below segment AB, while point C' is above segment A'B'. This means the figure has also been reflected top-to-bottom.

Together these reflections can be accomplished by either of reflection across the origin, or rotation 180° about the origin.

The reflected figure would leave A' at (5, -3). Its location at (8, -2) means the figure has also been translated to the right and up.

Translation to the right has been by 8 -5 = 3 units.

Translation up has been by -2 -(-3) = 1 unit.

Triangle ABC can be transformed to triangle A'B'C' by ...

The corresponding ordered-pair rules for these transformations are ...

__

Additional comment

The single transformation that will accomplish the mapping is ...

  (x, y) ⇒ (3 -x, 1 -y) . . . . . reflection across the point (3/2, 1/2)

Solution:

Given:

The greatest common factor (GCF) is factored out of the expression.

The GCF is 12.

Hence,

Therefore, the factorization of the given polynomial 36a - 12b - 60c is;

Arc STU and arc SRU can form the complete circle. Therefore

Dividing both sides by 2, we have

Also, substitute 2 m

pick yes in options 2 and 3

pick no in options 1 and 4

SOLUTION

If a coordinate is refleted over the x-axis, the formula to apply is

So for B(-5, -5), this becomes

First, let's write the data set in crescent order:

The mean is given by the sum of all values divided by the number of values:

The median is given by the central value of the set in crescent order. Since this set has 13 values, the median is the 7th value:

The mode is the value that repeats the most. Looking at the set, the value that repeats the most (three times) is 50, so the mode is 50.

When a number is raised to a power, it simply refers to the number of times that number is multiplied by itself.

Applying that logic here, 11 to the power of 2 is simply

and the answer is

Therefore, 11 to the power of 2 is 121.

As you can see, both variables are directly proportional.

Thus, the given line should have the form:

Where k is the proportionality constant.

To find the number of gallons of gas needed to drive 120 miles, we should find k first.

Notice that we need 1 gallon of gas to drive 25 miles and 2 gallons of gas to drive 50 miles. The rate of change (k) between these variables is:

This means that it takes 25 gallons to drive each mile.

Now, we could replace:

Therefore, Justin needs 4.8 gallons to drive 120 miles.

We need to find the value for x using the inverse operation:

Then:

Let us solve for x:

The x is subtracting, so it will add up to the other side:

Now, the 84 is positive, so it will be negative on the other side:

Hence, the solution for x is -77.

The volume of a rectangular prism is given by

Where L is the length, W is the width, and H is the height of the rectangular prism.

For the given case, we have

Length = 17 in

Width = 8 in

Height = 19 in

Let us substitute these values into the above formula

Therefore, the volume of the given rectangular prism is 2584 cubic inches.

To put

In the standard form, we must multiply the numerator and denominator by the complex conjugate of (7-i), it means

And now we solve it, therefore

Remember that

Then

Now we can simplify it

And we have it in the standard form

The fill in the blanks (that uses division) can be filled as -1.2([tex](\frac{2}{5} )[/tex] ÷ -2, -0.48÷-2 and 0.24.

According to the question,

We have the following information:

-1.2 [tex](\frac{2}{5} )[/tex] ÷ -2

Now, we have to solve this problem and fill the blanks at the same time.

Now, the first step would be to write the question.

So, for the first blank we have:

-1.2 [tex](\frac{2}{5} )[/tex] ÷ -2

Now, the required number is (2/5).

Now, the next step is to multiply -1.2 with 2/5:

-2.4/5

-0.48

So, the second blank can be filled by -0.48.

Now, the third step would be to divide -0.48 by -2:

-0.48÷-2

0.24

So, the next blank can be filled by 0.24.

Hence, the numbers in the blanks are [tex]\frac{2}{5}[/tex], -0.48 and 0.24 respectively.

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Answer:

c

Step-by-step explanation:

The metre or meter, symbol m, is the primary unit of length in the International System of Units, though its prefixed forms are also used relatively frequently.

Given the parent function:

If y is shifted right by 7 units, we obtain:

If y is compressed horizontally by a factor of 7, we have:

If y is stretched vertically by the factor 7, we obtain:

A shift downwards by 7 units gives:

Answer:

I eat birds tasty

Answer:

Yes

Step-by-step explanation:

-36/6 = -6

Integers are the whole numbers (0.1.2.3.4.5....) and their opposites ...-4,-3,-2,-1

a) The Average Propensity to Consume (APC), rounded to three decimal places, is 0.916.

b) The Average Propensity to Save (APS), rounded to three decimal places, is 0.084.

c) The Marginal Propensity to Consume (MPC), rounded to three decimal places, is 0.820.

d) The Marginal Propensity to Save (MPS), rounded to three decimal places, is 0.180.

The average propensity to consume is the ratio of consumption expenditures to the total consumers' disposable income.

The average propensity to save is the inverse of the APC. It shows the rate of or total disposable income reserved instead of being consumed.

The marginal propensity to consume is the ratio of consumption based on additional income.

The marginal propensity to save is the inverse of the MPC, showing the percentage of the additional income saved instead of being consumed.

APC = 91.6%

= 0.916

APS = 1 - APC

= 0.084 (1 - 0.916)

MPC = 82%

= 0.820

MPS = 1 - MPC

= 0.180 (1 - 0.820)

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The distance s as a function of time is  s = 50√(162t² -126t +25)

Take miles and hours to be the problem's units.

The distance of the first plane from point p is provided by

x = 150 -450t

The distance of the second plane from point p is given by

y = 200 -450t

The Pythagorean theorem can be used to calculate the distance between them because their flight trajectories are at right angles (s).

s² = x² + y²

s² = (150 -450t) (150 -450t)

² + (200 -450t)² = 22500 -135000t +202500t² +40000 -180000t +202500t²

... s² = 40500t² -315000t +62500 = 2500(162t² -126t +25)

... s = 50√(162t² -126t +25)

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Given:

Let's solve for the following:

• (a). Find C'(x).

Here, we are to find the derivative of C(x).

Apply the sum rule:

• (b). The critical numbers of C(x).

The critical numbers will be the points where the graph changes direction.

Using the derivative, let's solve for x.

Factor the left side using the rational root test:

Now factor using the AC method:

Equate each factor to zero and solve for x:

Therefore, the critical numbers of C(x) are:

x = -6, 5

• (C). Increasing interval.

Use the critical points to find the increasing and decreasing intervals.

Using interval notation, the increasing interval is:

• D. Decreasing interval:

Using interval notation, the decreasing interval is:

ANSWER:

(a). C'(x) = x³ - 4x² - 35x + 150

(b). x = -6, 5

(c). Increasing: (-6, 5) U (5,∞)

Decreasing: (-∞, -6)

the answer is 8

add 3+2, that gives u 5, add 7+5 which is 12, do 12-4 its equal to 8