What is a polynomial function in standard form with zeros 1,-1, 2, and 4?
○_A. y = x¹ − 6x³ + 7x² + 6x − 8
O B. y = x² - 6x³ + 9x² + 6x-8
OC. y = x³ + 7x² + 6x - 8
OD. y = x - x³ + x²+x-8

Answer:

\(\displaystyle r \approx 5.8 \ ft\)

General Formulas and Concepts:

Symbols

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Sphere Formula: \(\displaystyle V = \frac{4}{3}\pi r^3\)

Step-by-step explanation:

Step 1: Define

Identify variables

Volume V = 797 ft³

Step 2: Solve for r

The probability that the dice under the table is 6 given that the first dice is 6 can be calculated using Bayes' theorem. Bayes' theorem states that the probability of event B given event A is equal to the probability of event A and event B occurring together divided by the probability of event A.

In this case, the probability of event A is the probability that the first dice shows a 6, which is 1/6. The probability of event B is the probability that the second dice shows a 6, which is also 1/6. The probability of event A and event B occurring together is the probability that both dice show 6, which is (1/6) * (1/6) = 1/36.

Using Bayes' theorem, we can calculate the probability of event B given event A as:

P(B | A) = P(A and B) / P(A) = (1/36) / (1/6) = 1/6

So the probability that the dice under the table is 6 given that the first dice is 6 can be written as a fraction 1/6.

The function has an average rate of change of -1.

To find the average rate of change of a function, we can use the formula:

Average Rate of Change = (Change in y) / (Change in x)

Using the data provided in the table, we can calculate the average rate of change between each pair of consecutive points. Let's calculate it for each pair:

Between (-2, 7) and (-1, 6):

Change in y = 6 - 7 = -1

Change in x = -1 - (-2) = 1

Average Rate of Change = (-1) / (1) = -1

Between (-1, 6) and (0, 5):

Change in y = 5 - 6 = -1

Change in x = 0 - (-1) = 1

Average Rate of Change = (-1) / (1) = -1

Between (0, 5) and (1, 4):

Change in y = 4 - 5 = -1

Change in x = 1 - 0 = 1

Average Rate of Change = (-1) / (1) = -1

From the calculations, we can see that the function has a constant average rate of change of -1 between any two consecutive points in the table.

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Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses, and 8 triangles when she has 4 squares,

Koda is making birdhouses for a park. For one birdhouse she required 2 trapezoids, 1 square 2 triangles and 4 rectangles.

For the 8 birdhouses, the number of trapezoids she need is,

Trapezoids=2 x 8

Trapezoids=16

For the 3 birdhouses, the number of rectangle she need is,

Rectangle =4 x 3

Rectangle=12

The number of birdhouses when she uses 4 square,

Bird house=4 x 1

Bird house=4

Thus, the number of triangles for 4 birdhouses is,

Triangle=2 x 4

Triangle=8

Hence, Koda who is making birdhouses for a park needs 16 trapezoids for 8 birdhouses, 12 rectangles for 3 birdhouses, and 8 triangles when she has 4 squares,

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The type of the quadrilateral DEFG is a parallelogram

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

The graph

On the graph, we have four coordinate points joined together

Using the above as a guide, we have the following:

Slope EF = (4 - 5)/(3 - 7) = 1/4

Slope GF = (2 - 5)/(6 - 7) = 3

Slope DG = (1 - 2)/(2 - 6) = 1/4

Slope DE = (1 - 4)/(2 - 3) = 3

For the distance, we have

EF = √[(3 - 7)² + (4 - 5)²] = 4.12

GF = √[(6 - 7)² + (2 - 5)²] = 3.16

DG = √[(2 - 6)² + (1 - 2)²] = 4.12

DE = √[(2 - 3)² + (1 - 4)²] = 3.16

Opposite sides have equal slope and are parallel

This means that the quadrilateral is a parallelogram

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a) The value of n is 0.39.

b) E(x) = 9.35, V(x) = 19.71, Standard deviation = √V(x)

1)

a) To find the value of "n," we need to sum up the probabilities for all the possible values of "x" and set it equal to 1. From the given probability distribution, the sum of probabilities is:

0.1 + 2n + 0.2 + 0.1 + 0.04 + 0.07 = 1

Simplifying the equation:

2n + 0.51 = 1

2n = 0.49

n = 0.245

b) To find the mean/expected value (E(x)), multiply each value of "x" by its corresponding probability and sum them up:

E(x) = (0 * 0.1) + (5 * 2n) + (10 * 0.2) + (15 * 0.1) + (20 * 0.04) + (25 * 0.07)

Variance (V(x)) can be calculated using the formula: V(x) = E(x^2) - (E(x))^2

Standard deviation (SD) is the square root of the variance.

To find E(-4A x + 3), substitute the values of "x" into the expression and calculate the expected value using the same approach as in part b.

For V(6B x - 7), substitute the values of "x" into the expression and calculate the variance using the formula mentioned earlier

c) To find the probability that the lifetime of a keyboard is less than 120 months, calculate the z-score using the formula: z = (x - mean) / standard deviation, where x = 120, mean = 150 + B, and standard deviation = 20 + B. Then use the z-score to find the corresponding probability from a standard normal distribution table.

Similarly, calculate the z-scores for more than 160 months and between 100 and 130 months, and find the corresponding probabilities.

2)

a) To find the probability that exactly 5 out of 10 randomly selected smartphones are defective, we can use the binomial probability formula: P(X=k) = (nCk) * (p^k) * (q^(n-k)), where n = 10, k = 5, and p = B/100. Substitute the values and calculate the probability.

b) To find the probability that at most 3 out of 10 randomly selected smartphones are defective, we need to calculate the probabilities of having 0, 1, 2, and 3 defective smartphones separately using the binomial probability formula. Then sum up these probabilities to get the final answer.

Please note that the actual calculations and final answers will depend on the specific values of "A" and "B" given in the problem.

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Answer:

30

So the two sectors add to the full length:

JK + IJ = IK

x+6 + 9 = 2x

Rearrange:

x=15

So the numerical length:

2x

2*15

30

Answer:

720 possible arrangements.

Step-by-step explanation:

The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.

The combination is a way of selecting items from a collection where the order of selection does not matter.

We have,

Number of cars = 8

Number of cars that are the same in color = 3

Cars that are the same in color can be arranged = 3!

There are 8 cars such that,

1 2 3 4 5 6 7 8

Three cars of the same color are taken out and we have,

1  2  3  4  5

We see that there are six spaces = 6!

where we can put the same color cars together so,

The possible arrangement of the cars, given that the three cars of the same color are kept together:

= 3! x 6!

= 3 x 2 x 1  x 6 x 5 x 4 x 3 x 2 x 1

= 4320

Thus,

The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.

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Answer: the scale factor is 3/4

Step-by-step explanation:

Answer:

whats the rest of the answer?

Step-by-step explanation:

Answer: 3.2t − 2.4

Step-by-step explanation:

Add −3.6 and 1.2

Then, add −1.9t and 5.1t

3.2t − 2.4

44 x 15 = 660

660/2 = 330

330cm^2

Answer:

330

Step-by-step explanation:

area of a triangle = 1/ 2 × base× height

base = 44 m

height = 15 m

area = 1/ 2 × 44× 15

= 22 × 15

= 330 Sq. m

Answer:

13/15

Step-by-step explanation:

THis is because 2/3and 1/5 change 5 and 3 to 15 . And 2 to 10 and 1 to 3=13/15

The staff should order 48 blue bags, 54 black bags, and 18 gray bags for a total of (48 + 54 + 18) = 120 bags

To determine the number of bags of each color that the staff should order, we need to use the information from the sample of 120 students and make an inference about the entire population of 800 students.

If we assume that the sample of 120 students is representative of the entire population, we can use the proportions from the sample to estimate the number of bags of each color that the staff should order.

Let's use the following proportions from the sample:

40% of the students prefer blue bags (0.40 x 120 = 48)

45% of the students prefer black bags (0.45 x 120 = 54)

15% of the students prefer gray bags (0.15 x 120 = 18)

Therefore, based on this sample, the staff should order 48 blue bags, 54 black bags, and 18 gray bags for a total of (48 + 54 + 18) = 120 bags.

However, it's important to note that this is just an estimate based on a sample, and there may be some variability or uncertainty in the actual preferences of the entire population.

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Answer:

6

Step-by-step explanation:

6 decimal places

0.005011 has six decimal places.

'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'

According to the given problem,

For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.

For counting decimal places, we need to count the number of digits present to the right of decimal point.

Hence, we can conclude that 0.005011 has 6 decimal places.

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Hey there!

\(\mathsf{x^2 - 11 = 25}\)

\(\large\textsf{ADD 11 to BOTH SIDES}\)

\(\mathsf{x^2 - 11 + 11 = 25 + 11}\)

\(\large\textsf{CANCEL out: -11 + 11 because that gives you 0}\)

\(\large\textsf{KEEP: 25 + 11 because that helps solve for the x-value}\)

\(\mathsf{25 + 11 = \bf 36}\)

\(\large\textsf{NEW EQUATION: }\mathsf{x^2=36}\)

\(\large\textsf{Take the square root of the number (36)}\)

\(\mathsf{x = \pm \sqrt{36}}\)

\(\mathsf{\pm = \boxed{\bf plus-or-minus}}\)

\(\mathsf{x = \sqrt{-36}\rightarrow \bf -6}\)

\(\large\textsf{or}\)

\(\mathsf{x = \sqrt{36} = \bf 6}\)

\(\boxed{\boxed{\huge\textsf{Answer: \bf x = 6 or x = -6}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

x² - 11 = 25

Add 11 to both sides.

x² - 11 + 11 = 25 + 11

Cancle out the 11 because when we add -11 to 11 that gives 0. On other side add 25 and 11 we get 36.

x² = 36

Take the square root of both sides of the equation and remember to use both positive and negative roots.

√x² = ± √36

x = ± 6

Write the solutions, one with a+ sign and one with a- sign.

\( x_1 = 6\)

\(x_2 = -6\)

This equation has two solutions which are :-

\( x_1 = 6\)and \(x_2 = -6\)

Answer:

THE banking industry’s collective response to the pandemic thus far has been notable. It was no easy feat to go fully virtual and execute an untested operating model in a matter of weeks. Despite some hiccups, many banking operations were executed smoothly. Customers were served, employees were productive, and regulators were reassured. Banks effectively deployed technology and demonstrated unprecedented agility and resilience.

If line J is perpendicular of line K, they should cross to make an X. If the slope of line K is -5, Line J would be 5.

James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.

To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.

The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.

In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.

In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.

This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.

Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.

Combining like terms, we have 9000 + 270 = 1.04x.

Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.

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After losing 4 Kg ,the weight of Artur is 14 Kg .

In the question ,

it is given that ,

the ratio of weight of Max : Artur is 5 : 9 .

So the weights of Max and Artur before dieting is 5x and 9x .

Now Artur goes on dieting and lose 4 Kg weight and

the ratio of weight of Max and Artur becomes 5:7  .

and the weights of Max and Artur after dieting is  5x and 7x .

Present weight of Artur = 7x .

As we can see that the change in Artur weight is 9x - 7x = 2x

According to the question

2x = 4

x = 2

hence Artur now weighs 7*(2) = 14 Kg

Therefore , after losing, 4 Kg the weight of Artur is 14 Kg .

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Calamitous Clod creates a geometric sequence with common ratio 2 by adding 2 to the second term and 11 to the third term. The first term is 7.

Let the numbers are: a₁, a₂, a₃.

These three numbers form an arithmetic sequence, which means the differences between 2 consecutive terms are the same.

Hence,

a₃ - a₂ = a₂ - a₁

a₃ = 2a₂ - a₁   ..... (equation 1)

Calamitous Clod creates a geometric sequence with common ratio 2 by adding 2 to the second term and 11 to the third term.

Hence, the geometric sequence is:

a₁, a₂ + 2, a₃ + 11.

with common ratio =  2

common ration = (a₃ + 11) / (a₂ + 2) = 2

a₃ + 11 = 2a₂ + 4

a₃ = 2a₂ - 7  ..... (equation 2)

Substitute equation 2 into equation 1

2a₂ - 7  = 2a₂ - a₁

a₁ = 7

Hence,

The first term =  a₁ = 7

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the number of days cannot be negative, so this solution is not valid.

Let's denote the number of problems in the packet as P.

According to the given information, Annie solved six problems each day and finished four days after Ben did. This means that Annie worked for (B + 4) days, where B represents the number of days Ben worked. Therefore, the total number of problems Annie solved is 6(B + 4).

Claire solved three more problems each day than Ben did and finished two days before he did. This means that Claire worked for (B - 2) days. Therefore, the total number of problems Claire solved is (B + 3)(B - 2).

To find the total number of problems in the packet, we need to sum up the number of problems solved by each person:

P = 6(B + 4) + (B + 3)(B - 2)

We can simplify this equation:

P = 6B + 24 + B² - 2B + 3B - 6

Combining like terms:

P = B² + 7B + 18

Now, we know that Annie, Ben, and Claire each worked at a constant rate, so the number of problems solved is directly proportional to the number of days worked.

Since the problem states that Annie finished four days after Ben did, we can set up the equation:

6(B + 4) = B

Simplifying this equation:

6B + 24 = B

5B = -24

B = -24/5

However, the number of days cannot be negative, so this solution is not valid. Therefore, there must be an error in the problem statement, as the information given leads to an inconsistent situation.

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Answer:

option a c d are correct

Step-by-step explanation:

    Since, the item was burried at the midpoint of the segment joining bowl and the tool. Archaeologist should dig at the midpoint which is at (2, 7).

        Mid-point = \((\frac{a+c}{2},\frac{b+d}{2})\)

Given points representing a bowl and a tool are (1, 4) and (3, 10).

Since, an item is burried at the midpoint of the segment joining bowl and tool,

Use the expression for the position of the mid-point of the segment.

Position of the item → \((\frac{1+3}{2},\frac{4+10}{2})\)

                                 → (2, 7)

       Hence, position of the burried item will be at (2, 7).

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The probability of the frequency of an event in repeated trials under comparable circumstances is a statistical analysis.

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

Finding the distribution hidden in your data is the aim of a statistical analysis. What do you mean by the distribution that lies underlying my data? "The distribution of your data describes the peaks and valleys of its characteristics in relation to a target population.

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The probability that the number of people wanting new copies is more than two standard deviations away from the mean is very low. For Steph Curry making exactly three of his next five free throws, the probability is approximately 0.25.

The probability that the number of people wanting new copies is more than two standard deviations away from the mean is very low. This is because the standard deviation measures the amount of variability or dispersion from the mean. The probability of any given value being more than two standard deviations away from the mean is very slim.For Steph Curry making exactly three of his next five free throws, the probability is approximately 0.25. This can be calculated using a binomial probability formula, which states that the probability of a certain outcome (in this case, making three free throws out of five attempts) is equal to the number of ways the event can occur (3) divided by the total number of possible outcomes (5). Therefore, the probability of Curry making exactly three of his next five free throws is 3/5 or 0.25.

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The probability of light being green ,yellow, not red ,and not green are 11/17, 1/17, 12/17 and 6/17 respectively.

Traffic light is red for 25 sec

Traffic light is yellow for 5 sec

Traffic light is green for 55 sec

Total of 85 seconds

The probability of the light being yellow when you reach it, all other things being equal, is 5 / 85 = 1/17

The probability of the light being green when you reach it, all other things being equal, is 55/ 85 = 11/17

The probability of the light being not red when you reach it, all other things being equal, is 5+55/ 85 = 60/85 = 12/17

The probability of the light being not green when you reach it, all other things being equal, is 5+25/ 85 = 30/85 = 6/17

As a result, the odds of a light being green, yellow, not red, or not green are respectively 11/17, 1/17, 12/17, and 6/17.

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Answer:

rtjstj idrk

Step-by-step explanation:

Answer:

I may be late on this but the answer is 5/4

Step-by-step explanation:

Answer:

2486.88

Step-by-step explanation:

Find the area of the pizza. A=πr²

the radius is half the diameter so here it's 6.

A= π6²

6²=36

36 × 3.14= 113.04

the pizza is 113.04 in². multiply that by 22.

Answer:

2487

Step-by-step explanation:

This is correct for k12 people