Find the value of k so that the remainder is -5 for (3x+kx^2-7x+10) / (x+3).

5
10
3
-8
60

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

9 teenagers

Step-by-step explanation:

12/20 = x/15

180/20 = x

9 = x

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

9 teenagers would take to finish the large pizza in 15 mins

Answer:

(-3, -1.5)

Step-by-step explanation:

Given:

\(\boxed{\text{Midpoint of a line segment:} \ \huge\text(\dfrac{x_1 + x_2}{2} ,\dfrac{y_1 + y_2}{2} \text)}\)

Substitute the endpoints of the line segment in the midpoint:

\(\implies \huge\text[\dfrac{-2 + (-4)}{2} ,\dfrac{6 + (-9)}{2} \text]\)

Simplify the coordinates in the midpoint:

\(\implies \huge\text[\dfrac{-2 - 4}{2} ,\dfrac{6 - 9}{2} \text] \implies \huge\text[\dfrac{-6}{2} ,\dfrac{-3}{2} \text]\implies \huge\text[-3 ,-1.5 \text]\)

Thus, the coordinate of the midpoint is (-3, -1.5)

Answer:

the answer is a f(x)= x+5.

Step-by-step explanation:

the answer is f(x)= x+5 because in each row the value increases by 5.

Answer:

a

Step-by-step explanation:

The correlation coefficient ρ for X and Y is ρ = -0.6675 in the given function.

The correlation coefficient is a statistical concept that aids in establishing a relationship between expected and actual values obtained through statistical experimentation. The calculated correlation coefficient's value explains why the difference between the predicted and actual values is so exact.

Correlation Coefficient value is always in the range of -1 to +1. A similar and identical relationship exists between the two variables if the correlation coefficient value is positive. Otherwise, it reveals how differently the two variables behave.

Pearson's correlation coefficient is calculated by taking the covariance of two variables and dividing it by the sum of their standard deviations. is typically used to represent it (rho).

The correlation coefficient is computed as,

\($ \rho & =\frac{{Cov}(X, Y)}{\sqrt{V(X)} \times \sqrt{V(Y)}}\)

\($=\frac{-0.0267}{\sqrt{0.04} \times \sqrt{0.04}}\)

= -0.6675

Thus, the correlation coefficient ρ for X and Y is ρ = -0.6675.

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Answer:

x=9

Step-by-step explanation:

x+1=10

*subtract 1 from both sides

x=9

Answer:

800 roller coasters

Step-by-step explanation:

120/x = 15/100

120/x=15 x 8/100 x8

120/x = 120/800

x=800

The correct answer is B. 36 years.

Explanation:

Let's use the continuous compounding formula to solve the problem:

A = Pe^(rt)

A is the final amount, P is the initial amount, e is the mathematical constant equal to approximately 2.71828, r is the annual interest rate, and t is the time in years.

We want to find the time it takes for the initial amount P to triple, which means that A = 3P. Substituting this into the formula, we get:

3P = Pe^(rt)

Dividing both sides by P, we get:

3 = e^(rt)

Taking the natural logarithm of both sides, we get:

ln(3) = rt

Solving for t, we get:

t = ln(3)/r

Substituting the values of P, r, and e, we get:

t = ln(3)/(0.03)

t ≈ 36.6 years

So, it will take approximately 36 years for the initial amount of $1000 to triple at an annual interest rate of 3% with continuous compounding. The closest answer choice is B. 36 years.

Answer:

30 cm

Step-by-step explanation:

If you look at maggie's height it's 60 cm and minnie's is half of that so it's 30 cm.

On calculation by combination, it is found that there are 17,341,448 ways scholarships can be awarded.

Given that Blackhawk Tech gives four Presidential Scholarships and there are 53 nominees, the number of ways scholarships can be awarded is to be determined. Here, we can use the concept of combinations and permutation to find the answer.

Permutation: It is defined as the arrangement of objects in a specific order. The formula to find permutation is given as:

nPr = n!/(n - r)!,

where n is the total number of objects and r is the number of objects being arranged.

Combination: It is defined as the selection of objects without any specific order. The formula to find combination is given as:

nCr = n!/[r! (n - r)!],

where n is the total number of objects and r is the number of objects being selected.

Now, to find the number of ways scholarships can be awarded, we need to select four nominees out of 53 nominees without considering the order in which they are selected. So, here we will use the combination formula, which is as follows:

nCr = n!/[r! (n - r)!]

53C4 = 53!/[4! (53 - 4)!]

53C4 = 53!/[4! 49!]

53C4 = (53 × 52 × 51 × 50)/(4 × 3 × 2 × 1)

53C4 = 416,214,750/24

53C4 = 17,341,447.92

Therefore, the number of ways scholarships can be awarded is 17,341,448.

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Step-by-step explanation:

The right answer is d because inverse means power in minus

Answer........

Step-by-step explanation:

Answer:

2y=-x+11

Step-by-step explanation:

Answer:

yes it can be done.

Answer:

Y e s

Step-by-step explanation:

N o ?

I d r k

Answer:

Whenever they are played in a commercial or a movie

Step-by-step explanation: oyriuqewyfuqasyerdb8o7iu

Answer:

$9

Step-by-step explanation:

4.50×2=9

9514 1404 393

Answer:

  \(B=\dfrac{T+9}{A}\)

Step-by-step explanation:

Add 9 to both sides of the equation, and divide by the coefficient of B.

  T = BA -9

  T +9 = BA

  (T +9)/A = B

We can rewrite that with B on the left:

  B = (T +9)/A

We are increasing every professor's salary by 4000, let this new salary be Yi for every professor then mean of new salary Y will be

Y = 1/n∑Yi

Y  = 1/n∑(Xi + 4000)

Y  = 1/n(∑Xi + ∑4000/n)

Y  = X + 4000

Median Xm is the middle most value of the Professor's old salary, since new salary is

            Yi = Xi + 4000

then new median salary Ym will be

            Ym = Xm + 4000

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Answer:

Step-by-step explanation:The mean and Median salary would increase by $4,000.

Let sum of the salaries be n1+n2+n3+.......... +n30

   Mean = sum of observation / no. of observation

Thus,

   Initial mean, M1 = n1+n2+n3+.......... +n30 / 30

When $4,000 is added to every salary 4000 is added 30 times to the sum.

Thus,

  New mean, M2 = n1+n2+n3+.......... +n30 +( 4000 * 30)

                                                30

                           = M1 + ( 4000 * 30)

                                              30

  Thus,         M2 = M1+ 4000

Therefore, The mean salary increase by $4,000.

We know Median of even number of observation =  [(n/2)th term + ((n/2) + 1)th term]/2

Here n/2th term is n15 and (n/2 +1)th term is n16

Thus,

    Initial Median, Median 1 = n15 + n16  

                                                     2

When $4,000 is increased in each salary

    New Median, Median 2 = n15 + 4000 + n16 + 4000

                                                                 2

                                         = Median 1 + 2 * 4000

                                                                    2

Thus,                  Median 2= Median 1 + 4000

Therefore, The median salary increases by $4,000

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The required equation of the vertical line is x=5 and the horizontal line is y=2 when passing through the point (5,2).

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. A linear equation has the algebraic form y=mx+b, where m and b are constants, x is the independent variable, and y is the dependent variable. A linear equation is stated in statistical terms as y=a+bx, where a and b are constants. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane.

Here,

As the coordinate is (5,2),

The vertical line is x=5

The horizontal line is y=2

When passing through the point (5,2), the vertical line's required equation is x=5, and the horizontal line's required equation is y=2.

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Answer:

K=5

Step-by-step explanation:

D. None of these, as neither option B nor option C can be obtained using the Law of Detachment.

The Law of Detachment states that if a conditional statement "if p, then q" is true and p is true, then q must also be true.

Analyzing the given options:

A. The conclusion "There is no school" can be obtained by applying the Law of Detachment to the given information, as it matches the format of the law: "If today is Saturday (p), then there is no school (q)." Since today is Saturday (p), the conclusion that "There is no school" (q) can be derived using the Law of Detachment.

B. The conclusion "He is able to buy a new set of headphones" is not directly obtained by using the Law of Detachment. It involves an additional conditional statement and is not in the form of the given "if p, then q" structure.

C. The conclusion "George lives in both Brick and Ocean County" cannot be derived using the Law of Detachment. It is not in the form of a conditional statement, and there is no given information that connects George's residence to the conditional statement provided. Therefore, D is the right answer. None of them are possible utilizing the Law of Detachment, as neither option B nor option C can be obtained. Therefore, Option D is correct.

The question was incomplete. find the full content below:

Which of the following conclusions is true AND obtained by using the Law of Detachment

A. If today is Saturday, then there is no school.

Today is Saturday.

There is no school.

B. If you work 8 hours, then you'll earn $100.

If you earn $100, you'll be able to buy a new set of headphones.

Jonathan works 8 hours.

He is able to buy a new set of headphones.

C. If a person lives in Long Beach Island, then they live in Ocean County.

Brick is in Ocean County.

George lives in both Brick and Ocean County

D. None of these.

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a) When 44 is divided by 8, the quotient is the number of times 8 can be subtracted from 44 without going below zero.

44 divided by 8 gives a quotient of 5 with a remainder of 4. Therefore, the quotient is 5 and the remainder is 4.

b) When 777 is divided by 21, we find the quotient and remainder as follows:

777 divided by 21 gives a quotient of 37 with a remainder of 0. Therefore, the quotient is 37 and the remainder is 0.

c) When -123 is divided by 19, we find the quotient and remainder as follows:

-123 divided by 19 gives a quotient of -6 with a remainder of 9. Therefore, the quotient is -6 and the remainder is 9.

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To construct a 98% confidence interval for B₁, we can use the t-distribution since the sample size is small (n = 12).

Given the sample mean (B₁ = 46), sample standard deviation (s = 5.7), and sum of squares (SSzz = 57), we can calculate the confidence interval.

The formula for a confidence interval is:

Confidence Interval = Sample Mean ± (Critical Value * Standard Error)

For a 98% confidence level and n = 12, the critical value is approximately 2.681 (obtained from a t-distribution table).

The standard error is calculated as the sample standard deviation divided by the square root of the sample size (s / √n).

Plugging in the values:

Standard Error = 5.7 / √12 ≈ 1.647

Confidence Interval = 46 ± (2.681 * 1.647)

Therefore, the 98% confidence interval for B₁ is approximately (42.21, 49.79).

In conclusion, we can be 98% confident that the true value of B₁ falls within the range of 42.21 to 49.79 based on the given sample data.

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An acceptable residual plot exhibits constant error variance. Therefore, option c) is correct.

An acceptable residual plot exhibits c) constant error variance. This means that the spread of the residuals is consistent across all values of the predictor variable, indicating that the model's assumptions are being met.

Residual plots with increasing or decreasing error variance (a or b) suggest that the model is not adequately capturing the relationship between the predictor and response variables.

A curved pattern (d) suggests that the model is not linear and may require a different approach, such as a quadratic or logarithmic model.

A mixture of increasing and decreasing error variance (e) suggests that the model may not be appropriate for the data and may need to be revised.

In a good residual plot, the points should be randomly scattered around the horizontal axis, showing no discernible pattern, and maintaining a constant variance throughout. This indicates that the model's assumptions are met and its predictions are reliable.

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Answer:

make y the subject first

Step-by-step explanation:

y=x/2 +3

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-4=1/2(x-(-1))

y=1/2(x) +1/2+4

final answer

y=1/2(x) +9/2

Answer:

b. 31.

Step-by-step explanation:

The other 2 angles in the triangle are congruent so they are:

(180 - 118) / 2

= 31 degrees.

The possible measure of two similar angles in an isosceles triangle could be b. 31 °

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know in an isosceles triangle two sides are equal and angles opposite sides to the equal side are also equal.

We also know that the sum of all the interior angles in a triangle is 180°.

Let, The similar angles be 'x'.

Therefore,

x + x + 118 = 180

2x = 62.

x = 31°.

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(a) Randomized controlled trial, (b) Development of polio, (c) Vaccine and placebo, (d) Substance with no therapeutic effect, (e) To ensure statistical power and precision, (f) Yes, the vaccine appears effective as fewer cases of polio were observed in the experimental group.

(a) This experimental design is a randomized controlled trial.

(b) The response variable is the development of polio in the children.

(c) The treatments are the vaccine (given to the experimental group) and the placebo (given to the control group).

(d) A placebo is a substance or treatment that has no therapeutic effect but is administered to the control group in order to account for any psychological or contextual effects.

(e) Such a large number of subjects is needed to ensure statistical power and increase the precision of the results. With a larger sample size, the study can better detect and measure the effectiveness of the vaccine.

(f) Based on the given information, it appears that the vaccine was effective. The number of polio cases in the experimental group (33) is significantly lower compared to the control group (115), suggesting that the vaccine helped prevent the development of polio. However, further analysis and statistical testing would be required to establish the statistical significance of the results.

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