How many games did the team play last season?

The polynomial function of degree 3 with leading coefficient 1 and zeros at -5, 0, and 6 is f(x) = x³ - x² - 30x.

To find a polynomial function of degree 3 with leading coefficient 1 and zeros at -5, 0, and 6, we start by using the factor theorem. This theorem tells us that if a polynomial function has a zero at some value c, then it is divisible by the linear factor (x - c).

Therefore, the polynomial with zeros at -5, 0, and 6 can be written as:

f(x) = a(x + 5)(x - 0)(x - 6)

where a is a constant coefficient that we need to determine. Since the leading coefficient of the polynomial is 1, we set a = 1.

Multiplying out the factors, we get:

f(x) = (x + 5)(x)(x - 6)

= x³ - x² - 30x

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for the first question  answer is 35 , which we can clearly see its pointing 35 degree in the protractor  .second question is incomplete

what is protractor ?

To measure an angle using a protractor instrument, follow these steps:

Place the protractor on the angle: Place the flat side of the protractor on one of the angle's sides, making sure that the vertex (the point where the two sides of the angle meet) is at the center of the protractor.Align the protractor with the angle: Make sure the protractor is aligned with the angle you want to measure. The zero-degree mark on

In the given question,

for the first question  answer is 35 , which we can clearly see in the protractor  

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We are given that the sample size $\sf\:n = 18$, sample mean $\sf\:\bar{X} = 103$, sample standard deviation $\sf\:S = 10$, and margin of error $\sf\:E = 6.05$ for a 98% confidence interval estimate for the population mean.

Using the formula for the margin of error, we can find the value of the t-score that corresponds to a 98% confidence level with 17 degrees of freedom (since we have 18 samples):

$\sf\:t_{0.01/2, 17} \implies 2.898$

Now, we can use the formula for a confidence interval estimate to find the lower and upper bounds of the interval:

$\sf\:\bar{X} - E \implies 103 - 6.05 < \mu < \bar{X} + E \implies 103 + 6.05$

Substituting in the values we have:

$\sf\:103 - 6.05 < \mu < 103 + 6.05$

Simplifying:

$\sf\leadsto\:96.95 < \mu < 109.05$

Therefore, a 98% confidence interval estimate for the population mean is $\sf\: (96.95, 109.05)$ rounded to two decimal places.

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The price that the insurance company should charge for a one-year extended warranty on a Prego SUV is $402.

To determine the price that the insurance company should charge for a one-year extended warranty on a Prego SUV, the company needs to calculate the expected value of the repair costs and then add their desired profit to it.

Let's assume that the price for the warranty is x dollars. Then, the expected value of the repair costs for the insurance company would be:

(0.50)(0) + (0.35)($500) + (0.12)($1500) + (0.03)($4000) = $352

This means that on average, the insurance company can expect to pay out $352 in repair costs for each policy sold. To make an average profit of $50 per policy, the insurance company should charge:

x = $352 + $50 = $402

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The probability is P = 0.51, and the odds are 15 to 14.

If all the ties have the same probability of being randomly choosen, then the probability of randomly selecting a tie that goes well with the sports coat is equal to the quotient between the number of ties that goes well with the sports coat (15) and the total number of ties.

The probability will be:

P = 15/29 = 0.51

And the odds are the number of good ties to the number of the other ones, there are 15 good ones and 14 bad ones, so the odds are 15 to 14.

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Answer:

Based on the residual plot, we can check for the following conditions:

I. The true relationship between x and y is linear:

We can check this condition by looking at the pattern of the residuals in the plot. If the residuals are randomly scattered around zero, without any discernible pattern, then it suggests that the true relationship between x and y is linear. If there is a pattern in the residuals, then it suggests that the true relationship is not linear. Since we are not given a residual plot to examine, we cannot determine whether this condition is met.

II. The standard deviation of y is constant for different levels of x:

We can check this condition by looking at the spread of the residuals in the plot. If the spread of the residuals is roughly the same for all values of x, then it suggests that the standard deviation of y is constant for different levels of x. If the spread of the residuals increases or decreases as x increases, then it suggests that the standard deviation of y is not constant for different levels of x. From the residual plot, we cannot determine whether this condition is met.

III. The value of 0 is contained in the confidence interval:

This condition refers to the confidence interval for the slope of the regression line. If the confidence interval includes 0, then it suggests that the slope is not significantly different from 0 and there is no significant linear relationship between x and y. From the residual plot, we cannot determine whether this condition is met.

Therefore, based on the given information, we cannot determine which conditions appear to be met based on the residual plot.

Answer:

A trainee requires 3 days of training before they can assemble 9 heaters.

Step-by-step explanation:

We are given the formula for the number of water heaters h that a trainee can assemble per 8-hour shift as:

h = 2.1 0.9t + 4

where t is the number of days of training the trainee has received. We need to find out how many training days are required before a trainee can assemble 9 heaters. So we set h to 9 and solve for t:

9 = 2.1 0.9t + 4

Subtracting 4 from both sides, we get:

5 = 2.1 0.9t

Dividing both sides by 2.1 0.9, we get:

t = (5 / (2.1 0.9))

Using a calculator, we get:

t ≈ 2.49

Rounding up to the nearest day, we get:

t = 3

Therefore, a trainee requires 3 days of training before they can assemble 9 heaters.

If Joe lowers the price he charges per pizza, he will sell more pizzas. option B

To sell more pizza, Joe must decrease the price he charges per unit. The law of demand dictates that when a product's cost decreases, its quantity demanded rises resulting in an increased sales volume.

It follows then that if Joe reduces his pizza prices more people will be inclined to purchase it creating this increase in sales . Nonetheless, whether Joe’s profit will rise or diminish depends on the extent of the rise in sales compared to the lowering of the price.

Even if there is a reduction in the price of every pizza, if the resultant sales volume is significant enough, Joe’s profit margin could still experience a positive turn.

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Answer:

N = M + 10/3P

Step-by-step explanation:

Answer:

Step-by-step explanation:

11000*14539.95

7.1483737364203627356954981215625 × 10^24

is the answer

Step-by-step explanation:

|6| - | -6|-(-6) =

 6  -   6   +6  = 6

James pays back approximately 82.33% of the total loan in interest over the 20-year period.

To calculate the percentage of the total loan that James pays back in interest, we need to determine how much of the monthly payments go towards interest and how much goes towards paying down the principal.

Using a loan calculator or a formula, we can determine that the monthly interest rate for James' loan is approximately 0.35% (4.25% annual rate divided by 12 months). The monthly payment of $915.00 is comprised of both principal and interest.

In the first month, the interest portion of the payment would be $531.25 and the remaining $383.75 would go towards the principal. As the loan is paid down over time, the interest portion of each payment decreases while the principal portion increases.

To calculate the total interest paid over the life of the loan, we can multiply the monthly interest by the number of months (20 years x 12 months/year = 240 months) and subtract the original principal amount of $150,000. This gives us a total interest paid of approximately $123,500.

To find the percentage of the total loan that this represents, we can divide the total interest paid by the original principal and multiply by 100:

$123,500 ÷ $150,000 x 100 ≈ 82.33%

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The volume of vase A is given as follows:

504 cm³.

The volume of vase A is obtained applying the proportions in the context of the problem.

Vase A has height 10 cm. Vase B has height 15 cm, hence the ratio between the heights is given as follows:

[tex]\frac{h_B}{h_A}[/tex] = 15/10

[tex]\frac{h_B}{h_A}[/tex] = 1.5.

The heights are given in units, while the volumes are given in cubic units, hence the rate between the volumes is given as follows:

[tex]\frac{vB}{vA}[/tex] = 1.5³

[tex]\frac{vB}{vA}[/tex]= 3.375

[tex]v_B = 3.375v_A[/tex].

The difference between the volume of vase A and the volume of vase B is 1197 cm³, hence:

[tex]v_B - v_A = 1197[/tex]

[tex]3.375v_A - v_A = 1197[/tex]

[tex]v_A = 1197/2.375[/tex]

[tex]v_A[/tex] = 504 cm³.

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Answer:

O True

Step-by-step explanation:

Unit rate of essays/minute:

40 minutes / 5 essays = 8 essays/minute

256 essays / 32 minutes = 8 essays/minute

The unit rates are equal.

Answer: O True

The next number in the sequence would be 25 + 4 = 29.

First off, we rearrange these numbers in ascending order and this gives us:

3 9 15 18 20 22 25

Next, we try and find the pattern:

The pattern seems to be adding consecutive odd numbers starting from 3.

3 + 6 = 9

9 + 6 = 15

15 + 3 = 18

18 + 2 = 20

20 + 2 = 22

22 + 3 = 25

Therefore, the next number in the sequence would be 25 + 4 = 29.

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crack the code

09, 15. 18. 20, 22, 25, 03

Find the next number

Answer:  Joe's property tax bill is based on the assessed value of the house, not the purchase price.

To calculate his annual property tax bill, we first need to calculate the assessed value of the house that will be used to determine the tax. The assessed value is given as $280,000.

The annual property tax bill is then calculated as follows:

Tax bill = assessed value x tax rate

Tax bill = $280,000 x 0.029

Tax bill = $8,120

Therefore, Joe's annual property tax bill for this house is $8,120.

The maximum horsepower of the ice cream truck engine is 827.025.

For quadratic equation y = ax² + bx + c, the maximum value of y is given by:

y(max) =  c- b²/4a

Since the horsepower generated by the ice cream truck engine power curve is approximated by Y = -X²/5000 + 19x/23 -26

In this case, a = -1/5000, b = 19/23 and c = -26

Thus, the maximum horsepower will be:

maximum horsepower =  -26 - (19/23)²/[4*(-1/5000)]

maximum horsepower = 827.025 horsepower

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The measure of angle A'B'C' in the resulting figure is approximately 142.6 degrees.

The reflection of a point (x, y) across the y-axis is (-x, y). Applying this transformation to the coordinates of A, B, and C, we get:

A' (-2, 1)

B' (-6, 1)

C' (-6, 4)

The rotation of a point (x, y) by 180 degrees counter clockwise is (-x, -y). Applying this transformation to the coordinates of A', B', and C', we get:

A'' (2, -1)

B'' (6, -1)

C'' (6, -4)

Next, we can use the law of cosines to find the measure of angle B:

A'B'C' = 180 - arccos(-7/24)

≈ 142.6 degrees

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the circumference of the circle with a radius of  [tex]2.5[/tex] meters, approximated using  [tex]\pi = 3.14[/tex], is  [tex]15.7[/tex] meters. Thus, option C is correct.

The circumference of a closed curved object, such a circle or an ellipse, is the length around its perimeter.

The circumference of a circle is the distance around its perimeter. [tex]C = 2r[/tex] , where r is the radius (the distance from the centre of the circle to any point on its border), and pi is a mathematical constant roughly equal to  [tex]3.14159[/tex], is the formula for a circle's circumference.

The formula for the circumference of a circle is [tex]C = 2\pi r[/tex]  , where r is the radius of the circle.

Substituting the given value of the radius, we get:

[tex]C = 2 \times 3.14 \times 2.5 = 15.7[/tex] meters (approx.)

Therefore, the circumference of the circle with a radius of  [tex]2.5[/tex] meters, approximated using π = 3.14, is 15.7 meters.

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we need combination formula:

[tex] \frac{nı}{(n - r)ı \times rı} [/tex]

"I means !"

so the answer is:

12!/9! × 3! = 440

The median weekly earnings of the data set of the workers in the occupations listed for 2010 is calculated as: $971.

To find the median weekly earnings for the occupations listed in 2010, we need to first arrange the earnings in order from least to greatest:

$501, $900, $971, $977, $1071

The median is the middle value in this ordered list. Since there are an odd number of values, the median is simply the middle value.

Therefore, the median weekly earnings of workers in the occupations listed for 2010 is $971.

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The correct statement is A) that is found by adding the data values and dividing the total by the number of data values

What is meant by adding?

Adding is an operation in which two or more numbers or quantities are combined to obtain a sum. It is represented by the symbol "+" and is one of the four basic arithmetic operations.

What is meant by dividing?

Dividing is an operation that separates a quantity or a number into equal parts or groups. It is represented by the symbol "÷" or "/" and is one of the four basic arithmetic operations.

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The measures of center for this data set are the mean and median. The mean is 5.1 and median is 6.

The measure of variability is the range. The range is 10.

The measures of center describe the typical or central value of the data. For this data set, we can use the mean or the median as measures of center. The mean is the average of all the quiz scores, while the median is the middle value when the scores are arranged in order.

Mean = (0x1 + 1x0 + 2x0 + 3x0 + 4x0 + 5x2 + 6x4 + 7x2 + 8x2 + 9x1 + 10x0) / (1+0+0+0+0+2+4+2+2+1+0) = 5.1

Median = 6 (the middle score)

The measures of variability describe the spread or dispersion of the data. For this data set, we can use the range. The range will be:

= Highest score - Lowest score

= 10 - 0

= 10

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The line plot shows a student's quiz scores.

Quiz Scores

0 = 1

1,2,3,4 = 0

5 = 2

6 = 4

7 = 2

8 = 2

9 = 1

10 = 0

Which measures of center and variability should be used to describe the data?

Answer:

The length of the straw will be 5.91607 inches long in radical form.

What is Length of diagonal in cuboid?

If a cuboid has length = l units, breadth = b units, and height = h units, then we can evaluate the length of the diagonal of a cuboid using the formula

As per the question the length of the straw is equal to length of the diagonal of Rectangular box.

l= 3 inch , b= 5 inch , h= 1 inch

Let us consider the length of the straw be 'x'.

As, Diagonal of Cuboid is,

X= 5.91607 (in radical form)

Step-by-step explanation:

Hence, the length of the straw will be  5.91607 inches.

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When expressed in symbolic form, the original claim would then be H ₀: μ = 68. 9  bpm.

One common approach to express a hypothesis in symbolic form is through the application of logical symbols including "if-then" statements. This symbolized portrayal can be instrumental in directing the design of an experiment aimed at assessing its validity.

The null hypothesis is represented as H₀, with μ describing the mean pulse rate for male adults within the population. The underlying assertion suggests that on average adult males possess a pulse rate equivalent to 68.9 bpm.

H ₀: μ = 68. 9  bpm.

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Answer:

x=2

Step-by-step explanation:

f(x) is 89

f(x)=41x+7

89=41x+7

41x+7=89

41x=89-7

41x=81

x=81/41

x=2