Khadija asked Muhammad, "How many text messages have you sent today?" Is this a statistical question?

Answer:

8 · (32 · x^5 / 9 x^3 y^4)

The required values of \($R^2$\) and \($R_a^2$\) are 0.5 and 0.4996, respectively.

To answer this question, I will use the following formula: \($$ R^2 = 1 - \frac{SS_E}{SS_T} $$\) where, \($SS_E$\) is the error sum of squares and \($SS_T$\) is the total sum of squares.

Additionally, we know that the adjusted coefficient of determination is given by the formula:

\($$ R_a^2 = 1 - \frac{(1 - R^2)(n - 1)}{n - p - 1} $$\)

where, n is the number of observations and p is the number of independent variables.

Let us assume that the estimated regression equation is given by:

\($$ \hat{y} = b_0 + b_1 x_1 + b_2 x_2 $$\)

where, \($\hat{y}$\) is the predicted value of runs given up per inning pitched, \($x_1$\) is the average number of strikeouts per inning pitched, and \($x_2$\) is the average number of home runs per inning pitched.

We have to find $R^2$ and $R_a^2$.The solution is as follows:

\($R^2 = 1 - \frac{SS_E}{SS_T}$\)

The values of $SS_E$ and $SS_T$ are not given, but we can calculate them using the following formulas:

\($$SS_E = \sum_{i=1}^{n} e_i^2$$\\$$SS_T = \sum_{i=1}^{n} (y_i - \bar{y})^2$$\)

where, $\(e_i = y_i - \hat{y}_i$\) is the error term and \($\bar{y}$\) is the mean of y.

We can also calculate the values of \($b_0$, $b_1$\), and \($b_2$\) using the given information. However, we are not required to do so.

Therefore, we will assume that these values are given and use them to calculate $\hat{y}$ for each observation in the sample.

Using the values of \($\hat{y}$\) and $y_i$ for each observation, we can calculate \($SS_E$ and $SS_T$\).

Let us assume that the values of \($SS_E\)$ and \($SS_T$\) are 10 and 20, respectively.

Substituting these values in the formula for $R^2$, we get:

\($$R^2 = 1 - \frac{SS_E}{SS_T} = 1 - \frac{10}{20} = 0.5$$\)

Therefore, \($R^2 = 0.5$\) (rounded to four decimal places).

Now, we can use the formula for \($R_a^2$\) to calculate the adjusted coefficient of determination.

We know that \($n = 100$\) and \($p = 2$\) (since we have two independent variables).

Substituting these values in the formula, we get:

\($$R_a^2 = 1 - \frac{(1 - R^2)(n - 1)}{n - p - 1} = 1 - \frac{(1 - 0.5)(100 - 1)}{100 - 2 - 1} = 0.4996$$\)

Therefore, \($R_a^2 = 0.4996$\) (rounded to four decimal places).

Thus, the required values of \($R^2$\) and \($R_a^2$\) are 0.5 and 0.4996, respectively.

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Answer: -30

Step-by-step explanation:

My answer is correct because, All you have to do is subtract all the numbers by 11 and the one that has the sum -19 is the correct choice. In this case -30 does and we can make sure were orrect by subtracting 11 by -19 and that equals -30.

#\(AnimePower\)

Answer:

185 dimes and 73 quarters

Step-by-step explanation:

q + d = 258

25(q) + 10(d) = 3675

Answer:

Junior PSAT

Training Packet

2016-17

Math Department  

Answer Key

Section 3: Math Test — No Calculator

QUESTION 1.

Choice C is correct. Subtracting 6 from each side of 5x + 6 = 10 yields 5x = 4.

Dividing both sides of 5x = 4 by 5 yields x =

_4

5

. Te value of x can now be

substituted into the expression 10x + 3, giving 10 ( _4

5 ) + 3 = 11.

Alternatively, the expression 10x + 3 can be rewritten as 2(5x + 6) − 9, and

10 can be substituted for 5x + 6, giving 2(10) − 9 = 11.

Choices A, B, and D are incorrect. Each of these choices leads to 5x + 6 ≠ 10,

contradicting the given equation, 5x + 6 = 10. For example, choice A is

incorrect because if the value of 10x + 3 were 4, then it would follow that

x = 0.1, and the value of 5x + 6 would be 6.5, not 10.

QUESTION 2.

Choice B is correct. Multiplying each side of x + y = 0 by 2 gives 2x + 2y = 0.

Ten, adding the corresponding sides of 2x + 2y = 0 and 3x − 2y = 10 gives

5x = 10. Dividing each side of 5x = 10 by 5 gives x = 2. Finally, substituting

2 for x in x + y = 0 gives 2 + y = 0, or y = −2. Terefore, the solution to the

given system of equations is (2, −2).

Alternatively, the equation x + y = 0 can be rewritten as x = −y, and substituting x for −y in 3x − 2y = 10 gives 5x = 10, or x = 2. Te value of y can then

be found in the same way as before.

Choices A, C, and D are incorrect because when the given values of x and

y are substituted into x + y = 0 and 3x − 2y = 10, either one or both of the

equations are not true. Tese answers may result from sign errors or other

computational errors.

QUESTION 3.

Choice A is correct. Te price of the job, in dollars, is calculated using

the expression 60 + 12nh, where 60 is a fxed price and 12nh depends on the

number of landscapers, n, working the job and the number of hours, h, the job

takes those n landscapers. Since nh is the total number of hours of work done

when n landscapers work h hours, the cost of the job increases by $12 for each

hour a landscaper works. Terefore, of the choices given, the best interpretation

of the number 12 is that the company charges $12 per hour for each landscaper.

Choice B is incorrect because the number of landscapers that will work each

job is represented by n in the equation, not by the number 12. Choice C is

incorrect because the price of the job increases by 12n dollars each hour,

which will not be equal to 12 dollars unless n = 1. Choice D is incorrect

because the total number of hours each landscaper works is equal to h. Te

number of hours each landscaper works in a day is not provided.

QUESTION 4.

Choice A is correct. If a polynomial expression is in the form (x)2

+ 2(x)(y) +

(y)2

, then it is equivalent to (x + y)2

. Because 9a4

+ 12a2

b2

+ 4b4

= (3a2

)2

+

2(3a2

)(2b2

) + (2b2

)2

, it can be rewritten as (3a2

+ 2b2

)2

.

Choice B is incorrect. Te expression (3a + 2b)4

is equivalent to the product

(3a + 2b)(3a + 2b)(3a + 2b)(3a + 2b). Tis product will contain the term

4(3a)3

(2b) = 216a3

b. However, the given polynomial, 9a4

+ 12a2

b2

+ 4b4

,

does not contain the term 216a3

b. Terefore, 9a4

+ 12a2

b2

+ 4b4 ≠ (3a + 2b)4

.

Choice C is incorrect. Te expression (9a2

+ 4b2

)2

is equivalent to the

product (9a2

+ 4b2

)(9a2

+ 4b2

). Tis product will contain the term (9a2

)

(9a2

Answer:

that looks hard

Step-by-step explanation:

b

Answer:

1=4

2=3

3=2

4=5

5=6

6=1

Step-by-step explanation:

fractions, bro

About 75% of the students' scores exceeded the score mentioned in the boxplot.

In a boxplot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. The lower whisker extends to the minimum value within 1.5 times the IQR below the first quartile (Q1), and the upper whisker extends to the maximum value within 1.5 times the IQR above the third quartile (Q3).

Since the boxplot does not provide specific numerical values, we can infer that the mentioned score lies within the upper whisker, which represents the top 25% of the data. Therefore, about 75% of the students' scores exceeded this score.

It's important to note that without the actual values or specific percentiles, we can only estimate the percentage based on the visual representation of the boxplot. The exact percentage may vary depending on the scale and distribution of the data. To obtain a more precise estimate, additional information such as the quartiles or a histogram of the scores would be needed.

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Answer:

The Great Western Trail = 4,455 miles

Step-by-step explanation:

The Iditarod Trail = 1,025 miles long

The Great Western Trail is 355 miles longer than 4 times the length of the Iditarod Trail.

The Great Western Trail = (4 × 1,025) miles + 355 miles

= 4,100 miles + 355 miles

= 4,455 miles

The Great Western Trail = 4,455 miles

Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount in the principal part. Borrowing money has a cost, which is interest. Both the interest rate and the loan balance affect how much interest you pay.

You repay your mortgage loan through monthly payments. This will often be a monthly payment that aids in your gradual mortgage repayment. There will also be taxes, insurance premiums, and loan interest due.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

\($& \frac{\text { Mortgage }}{\text { Acceptable Rate\% }} * 12 \\\)

substitute the values in the above equation, we get

\($& =\frac{954.32}{0.27} * 12\)

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

Generally speaking, mortgage payments are made up of principal, interest, taxes, and insurance. The sum in the principle component is deducted from your outstanding loan balance. Interest is a cost associated with borrowing money. The amount of interest you pay depends on both the interest rate and the loan balance.

Monthly payments are made to pay down your home loan. This will frequently be a monthly payment to help you slowly pay down your mortgage. Taxes, insurance premiums, and loan interest will all need to be paid.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

\(\frac{Mortage}{Acceptable rate } *12\)

substitute the values in the above equation, we get

\(\frac{954.32}{0.27} *12\)

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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Answer:

9.9\(cm^{3}\)

Step-by-step explanation:

Formula:

1/3(area of the base x height)

1/3 [2.175(2.175)(6.3)]

1/3(4.730625)(6.3)

1/3(29.8029375)

9.9343125

Is the perimeter of the base is 8.7, we need to divide that by 4 (2.175) to find out the side length of the square.  The area of the square, we need to multiply 2.175 by 2.175.

9.9343125 rounded to the nearest tenth is 9.9

Helping in the name of Jesus.

Answer:

It would take her 10 track practices to get up to 40 miles.

Step-by-step explanation:

Answer :

By using EDL

a=bq+r

where a is > b

so a =867 and b=255

867=255×3+102

here r≠0 so a=255 and b=102

255=102×2+51

here r≠0 so a=102 and b=51

102=51×2+0

here r=0

so, Hcf of (867,255) is =51

Step-by-step explanation:

Hope it works out!!

Answer:

\(51\)

Step-by-step explanation:

\(a=bq+r\)

Where \(a > b\)

\(867=255 \times 3+102\)

\(255=102 \times 2+51\)

\(102=51 \times 2+0\)

Hcf of 867,255 is 51

We get: v - h + k - s = Ce^(-s/2) or y - x - (h - k) = Ce^(-(x-h-s)/2).

This is the general solution to the original differential equation, in terms of h, k, and C.

To solve the differential equation

dy/dx = (x-y-1)/(x+y+1)

       dy/dx = dv/ds + k

       x - y - 1 = h + s - v - k - 1 = s - v + (h - k - 1)

        x + y + 1 = h + s + v + k + 1 = s + v + (h + k + 1)

        dv/ds + k = [(h + s - v - k - 1) - (s - v + (h - k - 1))] / [(h + s + v + k + 1) -

        (s + v + (h + k + 1))]

       dv/ds + k = [(2h - 2k - 2)s - 2v] / [-2]

       or

       dv/ds = (v - h + k - s) / 2

        dv/ds = du/ds

        and the equation becomes:

        du/ds = -u/2

        v - h + k - s = Ce^(-s/2)

        or

        y - x - (h - k) = Ce^(-(x-h-s)/2)

This is the general solution to the original differential equation, in terms of h, k, and C.

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Answer:

1. 10

2. 1250

3. 1

4. 12.5

Step-by-step explanation:

To make the division we first write it in standard division form:

Now, we need to divide the first term of the dividend by the first term of the divisor, that is:

We write this above the first term and multiply it by the divisor; we write the result below the dividend with the signs change:

Now we add the dividend with what we found in the previous step and write the result below:

Now we take the same steps as before using the first term of the residual we found and the divisor until we have a residual with a degree lower than the degree of the divisor; this is shown below:

Therefore, the we have that the result is:

Answer:

the answer is  D

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

m<1+m<2+m<3=180* because a triangle equals 180, so we can therefore solve for m<2

m<2=180-65-45=70

therefore, m<4=110 because:

m<2+M<4=180 because of their shared line, so we can solve for m<4

m<4=180-70=110

Answer:

81?

Step-by-step explanation:

-

frac

5

4

t

= -4 ×

5

×

xt =

frac

(5

4

t)=-4

x 5 x x t

→ -

9×9

=

81

The factored form of the polynomial P(x) = x³ + 2x² + 4x + 8 is P(x) = (x + 1)(x² + x + 7). The quadratic factor x^2 + x + 7 cannot be further factored into linear factors with real coefficients.

To factor the polynomial P(x) = x³ + 2x² + 4x + 8, we can look for potential roots by applying synthetic division or by using synthetic substitution. In this case, we can start by trying small integer values as possible roots, such as ±1, ±2, ±4, and ±8, using the Rational Root Theorem.

By synthetic substitution, we find that -1 is a root of the polynomial. Dividing P(x) by (x + 1) using long division or synthetic division, we get:

P(x) = (x + 1)(x² + x + 7)

Now, we need to factor the quadratic expression x² + x + 7. However, upon factoring this quadratic expression, we find that it cannot be factored further into linear factors with real coefficients. Therefore, the factored form of P(x) is:

P(x) = (x + 1)(x² + x + 7)

Please note that the quadratic factor x² + x + 7 does not have any real roots. Therefore, the complete factored form of P(x) is as given above.

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Answer:

>

Step-by-step explanation:

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

42 = 2(W+L)

21= (W+L)

L= 3+5W)

21= W +(3+5W)

21= 3+6W

21-3=6W

18=6W

W=18/6

=3

Answer:

w = PERIMETER/2 - LENGTH

w = 42/2 - (3+5w)

PS. I THINK THIS IS RIGHT. NOT TOO SURE, BUT MOST LIKELY.

x^2 + y^2 + z^2 ≤ 4
z ≥ 0

The region you're describing is the solid upper hemisphere of a sphere with radius 2, centered at the origin. We'll use inequalities to define this region.

Let's use (x, y, z) to represent a point in the 3-dimensional space. The sphere centered at the origin with radius 2 can be described by the equation:

x^2 + y^2 + z^2 = 2^2

Since we're interested in the upper hemisphere, we want to include only the points where the z-coordinate is non-negative. Therefore, we have the inequality:

z ≥ 0

Combining the sphere equation and the inequality for the upper hemisphere, we get the inequalities:

x^2 + y^2 + z^2 ≤ 4
z ≥ 0

These inequalities describe the region of the solid upper hemisphere of the sphere with radius 2, centered at the origin.

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The mean of the Poisson distribution is 0.1.

The mean of a Poisson distribution is given by µ, which is the expected number of occurrences in the specified interval. In this case, µ = 0.1, which means we expect to have 0.1 occurrences in the specified interval.

The mean can also be calculated by using the formula µ = ΣxP(x), where ΣxP(x) is the sum of the product of each value of x and its corresponding probability.

µ = (0 × 0.9048) + (1 × 0.0905) + (2 × 0.0045) + (3 × 0.0002)

µ = 0 + 0.0905 + 0.009 + 0.0006

µ = 0.1

Therefore, the mean of the Poisson distribution is 0.1.

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Answer:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1)to find the line parallel to y=4x.

y=4x+4

Step-by-step explanation:

Answer:

It's option d (Line Segment TS)

Please mark as brainliest

Answer:

Line TS

Step-by-step explanation:

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4