Find the y -intercept
of the parabola y = x2 + 2x + 10

The probability that flood volume exceeds its mean value by more than one standard deviation is approximately 0.000.In rounded form, it is 0.000 (to three decimal places).Hence, the required probability is approximately 0.000.

Given that the flood volume follows a normal distribution. We are supposed to find the probability that flood volume exceeds its mean value by more than one standard deviation.

To find the probability, we need to standardize the variable, X.

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

We can standardize the variable X with the help of the following formula:

Z = (X - μ) / σ

Where Z is the standard score,

X is the raw score,

μ is the population mean, and

σ is the population standard deviation.

Now, we need to find the value of Z.

Z = (X - μ) / σZ = (20 - 10) / 2

Z = 5P(X > 20) = P(Z > 5)

From the z-table, we can find that the probability of Z being greater than 5 is very close to 0.

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Number of students at preschool are four-years-old in the program is 6

If 16 students are four-years-old, then the remaining students must be older than four. Let's call the number of older students "x". Then the total number of students is

16 + x

Now we know that 3/8 fraction of the total students attend the full-day program. So we can set up an equation

3/8 (16 + x) = number of students in full-day program

To solve for the number of four-year-old's in the program, we need to find 3/8 of the number of four-year-old's (16). We can do this by multiplying 16 by 3/8

16 x 3/8 = 6

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The population of a town increases by 9.2% annually.

Exponential growth is a process where a quantity grows at a constant percentage rate over time. This means that the rate of growth of the quantity itself increases as the quantity becomes larger.

The context that represents exponential growth is:

The population of a town increases by 9.2% annually.

Exponential growth occurs when a quantity grows at a constant percentage rate over time. In this case, the population of the town is growing at a constant rate of 9.2% per year, which means that the population is increasing exponentially over time.

The other options describe either decay (the radioactive compound decaying at a rate of 25% per hour) or decreasing quantities (the town's population shrinking at a rate of 3.5% every year or the fixed monthly cost of the music service).

For example, let's say that a population of rabbits grows at a rate of 10% per year. If there are initially 100 rabbits, we can use the formula to calculate the population after 5 years:

y = 100 * (1 + 0.10)^5 = 161.05

This means that after 5 years, there will be approximately 161 rabbits, which is a 61% increase from the initial population of 100 rabbits.

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I think we need to (4 divided by 5)+2

4 divided by 5= 0.8

0.8+2

=2.8

answer: 2.8

the probability that both drivers are wearing their seatbelts is 0.64, or 64%.

P(A and B) = P(A) x P(B|A)

The probability of both drivers wearing seatbelts can be calculated as follows, assuming that one driver's use of a seatbelt has no effect on the other driver's use of a seatbelt and that the probability of a driver wearing a seatbelt is independent of the other driver:

Let P(S) be the probability that a driver wears a seatbelt, then P(not S) is the probability that a driver does not wear a seatbelt.

Given that 4 out of every 5 drivers wear seatbelts, we have P(S) = 4/5 = 0.8 and P(not S) = 1 - P(S) = 1 - 0.8 = 0.2.

Let A be the event that the first driver wears a seatbelt, and B be the event that the second driver wears a seatbelt. We need to find the probability of both A and B occurring, which is denoted as P(A and B).

he probability of the first driver wearing a seatbelt is P(A) = P(S) = 0.8,

and the probability of the second driver wearing a seatbelt given that the first driver is wearing a seatbelt is P(B|A) = P(S) = 0.8 because the two drivers are stopped at random.

Using the multiplication rule for independent events, we have:

P(A and B) = P(A) x P(B|A)

= 0.8 x 0.8

= 0.64

Therefore, the probability that both drivers are wearing their seatbelts is 0.64, or 64%.

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Twenty percent of the students in a class of 400 are planning to go to graduate school. The standard deviation of this binomial distribution is 8.

The binomial distribution is a type of probability distribution that computes the probability of a given number of successes in a fixed number of independent tests with two possible results: success and failure. Furthermore, the following are the features of the binomial distribution:

The trial is identical, with two possible outcomes: success and failure.

The probability of success (p) and failure (q = 1 - p) remains constant throughout the trials.

All trials are independent of one another.

The formula for a standard deviation for binomial distribution is given by:

[tex]$\sqrt{npq}$$[/tex]

Where n is the sample size, p is the probability of success, and q is the probability of failure.

Therefore, given that the percentage of students planning to go to graduate school is 20%, the probability of success (p) is 0.2, and the probability of failure (q) is 0.8. The sample size (n) is 400.

Thus, the standard deviation can be calculated as follows:

[tex]$$\sqrt{npq} = \sqrt{400\times 0.2\times 0.8} \approx 8$$[/tex]

Therefore, the standard deviation of this binomial distribution is 8.

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Answer:

Step-by-step explanation:

try 39

Annabelle supplied 121.35 pounds of shrimp, Curly Q supplied 96.9 pounds of shrimp, and Slojoe supplied 72.81 pounds of shrimp.

The three shrimp boats, Annabelle, Curly Q, and Slojoe, collectively supplied 242.7 pounds of shrimp to Hudson's, 217 pounds to Captain J's, and 159.3 pounds to Mainstreet.

Annabelle supplied 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. Therefore, Annabelle supplied: (242.7 x 0.5) = 121.35 pounds of shrimp to Hudson's, (217 x 0.2) = 43.4 pounds of shrimp to Captain J's and (159.3 x 0.3) = 47.79 pounds of shrimp to Mainstreet.

In total, Annabelle supplied = 121.35 + 43.4 + 47.79 = 212.54

Curly Q supplied 40% of its catch to Hudson's, 40% to Captain J's, and 20% to Mainstreet. Therefore, Curly Q supplied (242.7 x 0.4) = 96.9 pounds of shrimp to Hudson's, (217 x 0.4) = 86.8 pounds of shrimp to Captain J's, and               (159.3 x 0.2) = 31.86 pounds of shrimp to Mainstreet.

In total, Curly Q supplied = 96.9 + 86.8 + 31.86 = 215.56

Slojoe supplied 30% of its catch to Hudson's, 40% to Captain J's, and 30% to Mainstreet. Therefore, Slojoe supplied (242.7 x 0.3) = 72.81 pounds of shrimp to Hudson's, (217 x 0.4) = 86.8 pounds of shrimp to Captain J's, and              (159.3 x 0.3) = 47.79 pounds of shrimp to Mainstreet.

In total, Slojoe supplied = 72.81 + 86.8 + 47.79 = 207.4

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The length of AC is approximately 29.4 units.

We can use the Pythagorean theorem and the fact that the two triangles ABD and CBD are similar to solve for the length of AC:

Let's denote the length of AB as a and the length of BC as b.

From triangle ABD, we have:

a^2 + 18^2 = c^2 (where c is the length of AC)

From triangle CBD, we have:

b^2 + 6^2 = c^2

Since the two triangles ABD and CBD are similar, we have:

a/b = 18/6 (because the altitude BD divides the hypotenuse AC into segments with lengths of 18 and 6, respectively)

Simplifying, we get:

a/b = 3

a = 3b

When we enter this into the initial equation, we obtain:

(3b)^2 + 18^2 = c^2

9b^2 + 324 = c^2

Substituting this into the second equation, we get:

b^2 + 6^2 = 9b^2/4 + 81

Simplifying, we get:

3b^2/4 = 45

b^2 = 60

Substituting this back into the equation for c^2, we get:

9(60) + 324 =c^2

c^2 = 864

Taking the square root of both sides, we get:

c ≈ 29.4

Therefore, the length of AC is approximately 29.4 units

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The width of the rectangle is 6 centimeters

We know that the area of a rectangle is given by the formula

A = L x W

where A is the area, L is the length, and W is the width.

In this problem, we are given the length of the rectangle (L) as 9 centimeters and the area (A) as 54 square centimeters. We can use these values to find the width (W) of the rectangle.

We can start by substituting the given values into the formula

54 = 9 x W

Next, we can solve for the width (W) by dividing both sides of the equation by 9

54 / 9 = W

Simplifying the left-hand side, we get

W = 6 centimeter

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I have solved the question in general, as the given question is incomplete.

The complete question is:

The length of a rectangle with area 54 square centimeters is 9 centimeters. What is the width of the rectangle

The values of x and y in the cyclic quadrilateral are 107 degrees and 75 degrees

From the question, we have the cyclic quadrilateral

In a cyclic quadrilateral, opposite angles are supplementary, meaning they add up to 180 degrees. This property is known as the "Opposite Angles Theorem."

For example, angles A and C are opposite angles, and they are both subtended by diameter BD.

Similarly, angles B and D are opposite angles, and they are both subtended by diameter AC.

Therefore, we can state that in a cyclic quadrilateral, the sum of opposite angles is 180 degrees

So, we have

x = 180 - 73 = 107

y = 180 - 105 = 75

Hence, the value of x is 107 degrees

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Issues with the quality of data, finding appropriate data, determining which data to collect, handling big data and research issues like low response rates are some of the factors that may influence the collection of data.

1) Issues with the quality of data. Raw data often contains errors, inconsistencies, and other problems. Although data collection measures are designed to prevent or minimize these issues, they are not foolproof. Therefore, collected data usually undergoes data profiling to identify problems and data cleansing to correct them.

2) Finding appropriate data. With various systems to navigate, gathering data for analysis can be a complex task for data scientists and other users within an organization. Data curation techniques make it easier to find and access data. For instance, this may involve creating a data catalog and searchable indexes.

3) Determining which data to collect. This is a crucial issue for both upfront collection of raw data and when users collect data for analytics applications. Collecting unnecessary data adds time, cost, and complexity to the process. However, leaving out valuable data can limit a data set's business value and impact analytics results.

4) Handling big data. Big data environments usually involve a mixture of structured, unstructured, and semistructured data in large volumes. This makes the initial data collection and processing stages more complicated. Additionally, data scientists frequently need to filter sets of raw data stored in a data lake for specific analytics applications.

5) Research issues like low response rates. In research studies, a lack of responses or willing participants raises concerns about the validity of the data that is collected. Other research challenges include training people to collect the data and establishing adequate quality assurance procedures to ensure data accuracy.

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The factored form of the polynomial after factoring out the greatest common factor is 3s^(2) (s + 2)

The greatest common factor (GCF) of a polynomial is the largest factor that is common to all the terms in the polynomial. To find the GCF of a polynomial, we need to factor each term into its prime factors, and then identify the factors that appear in all the terms.

To factor out the greatest common factor from the given polynomial, we need to find the largest monomial that divides each term in the polynomial.

The first step is to identify the common factors of the two terms. In this case, both terms have a factor of 3 and a factor of s^2. So, we can factor out 3s^2 from both terms

3s^(3) + 6s^(2) = 3s^(2) (s + 2)

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In perspective of this, the function that degrades as input values go closer to both negative and positive infinity is [tex]g(x) = -2x^3 - 4x^2 +9[/tex] and the appropriate response is (2).

Functions are the central idea of calculus in mathematics. The functions are special types of relations. A function seems to be a rule that generates a unique outcome one per input x in mathematical. A mapping as well as transformation in mathematics represents a function.

(1) [tex]f(x) = x^3 - 4x^2 + x[/tex]

x3 and -4x2 become extremely big negative numbers as x approaches negative infinity, and x becomes a very large negative number. As a result, f(x) approaches infinity. [tex]x^3[/tex] and [tex]-4x^{2}[/tex] become extremely big positive values as x approaches positive infinity, and x becomes a very large positive number. As a result, f(x) approaches infinity. As a result, f(x) does not decrease when the input values approach negative and positive infinity.

(2) [tex]g(x) = -2x^3 - 4x^2 +9[/tex]

When x approaches negative infinity, the negative integers -2x3 and [tex]-4x^{2}[/tex] grow very big, and 9 becomes negligible. As a result, g(x) approaches infinity. When x approaches positive infinity, the negative integers -[tex]2x^3[/tex] and [tex]-4x^{2}[/tex] grow very big, and 9 becomes negligible. As a result, g(x) approaches infinity. As a result, g(x) diminishes as the input values approach negative and positive infinity.

(3) [tex]h(x) = x^4 - 4x^3 + 2x + 8[/tex]

When x approaches negative infinity, the negative integers [tex]x^4[/tex] and [tex]-4x^3[/tex] grow very big, whereas 2x and 8 become unimportant. As a result, h(x) approaches infinity. When x approaches positive infinity, the positive integers [tex]x^4[/tex] and [tex]-4x^3[/tex] grow very big, whereas 2x and 8 become unimportant. As a result, h(x) approaches infinity. As a result, h(x) does not decrease when the input values approach negative and positive infinity.

(4) [tex]r(x) = -x^4 + 9x^3 + x^2 + 8x + 2[/tex]

When x approaches negative infinity, the negative numbers [tex]x^4[/tex] and [tex]9x^3[/tex] grow quite big, whereas [tex]x^2[/tex], 8x, and 2 become unimportant. As a result, r(x) approaches infinity. When x approaches positive infinity, the negative integers  [tex]-x^{4}[/tex] and [tex]9x^{3}[/tex] grow quite big, whereas [tex]x^2[/tex], 8x, and 2 become unimportant. As a result, r(x) approaches infinity. As a result, r(x) diminishes as the input values approach negative and positive infinity.

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We use the symbol '[tex]\bar{x}[/tex]' to represent the mean arsenic level in the sample, and 'p' to represent the proportion of health issues in the sample.

The mean tells us about the average arsenic level in the sample, while the proportion tells us about the fraction or percentage of individuals in the sample who have health issues.

First, let's talk about the mean arsenic level in the sample. The mean is a measure of central tendency that tells us about the average value of a dataset. In this case, we are interested in finding the average arsenic level in our sample. The symbol we use to represent the mean is '[tex]\bar{x}[/tex]' (pronounced x-bar). So, if we have a sample of n arsenic level readings, we would calculate the mean arsenic level as follows:

[tex]\bar{x}[/tex] = (x₁ + x₂ + x₃ + ... + xₙ) / n

Here, 'xi' represents the ith observation in our sample. By summing up all the observations and dividing by the sample size, we get the mean arsenic level.

Now, let's move on to the proportion of health issues in the sample. Proportion is a statistic that tells us what fraction or percentage of a sample has a certain characteristic.

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Answer:

The value of the function f at t = 7, will be 11.

Step-by-step explanation:

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given as,

f = 2t – 3

Then the value of the function f at t = 7, will be

f = 2 x 7 – 3

f = 14 – 3

f = 11

Answer:

f = 11

Step-by-step explanation:

i got it right on khan academy lol

The approximate percentage that the price of the computer was reduced is 12.5%.

A number can be expressed as a fraction of 100 using a percentage. The letter "%" stands for it. We may compare numbers of various sizes quickly and efficiently using percentages to compare a quantity to its entire or total.

To find the approximate percentage that the price of the computer was reduced, we can use the following formula:

percentage decrease = (original price - new price) / original price x 100%

Substituting the given values, we get:

percentage decrease = (399 - 349) / 399 x 100%

percentage decrease = 50 / 399 x 100%

percentage decrease ≈ 12.5%

Therefore, the approximate percentage that the price of the computer was reduced is 12.5%.

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Atticus asks Calpurnia to go with him to tell Helen Robinson about the death of her husband. Option B is the correct answer.

Helen Robinson was Tom Robinson's widow in To Ki-ll a Mockingbird, a novel by Harper Lee. Despite the fact that she is not a major character in the story, she plays a significant role in the novel's plot. When Bob Ewell accuses Tom Robinson of ra-pe, Atticus Finch is hired to defend him, and Helen Robinson appears in the story.

When Tom Robinson, a black man, was accused of rapi-ng a white woman, Mayella Ewell, he was arrested and imprisoned in the local jail. He was sentenced to death, but he attempted to flee and was subsequently sh-ot and kill-ed by a group of guards. When the news of his death reaches Atticus, he goes to tell Helen Robinson that her husband had died.  Atticus, recognizing that it will be difficult for her to receive such news, offers to accompany her and asks Calpurnia to come along with him.

Calpurnia was the Finch family's black housekeeper in the novel To K-ill a Mockingbird. She is one of the few African American characters in the book who has a speaking role, and she serves as a motherly figure to Scout and Jem. Throughout the novel, she serves as a bridge between the white and black communities, and she plays a crucial role in the story's resolution.

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the answer is (D) 3/10. we know that the arrow landed on the red section 15 times out of 50 total spins. So we can find by  the experimental probability of landing on the red section

what is probability ?

Probability is a measure of the likelihood or chance that a particular event will occur. It is expressed as a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain to happen. A probability of 0.5 means that the event is equally likely to occur or not occur.

In the given question,

The experimental probability of an event is defined as the ratio of the number of times the event occurred to the total number of trials. In this case, we want to find the experimental probability of landing on the red section.

From the given data, we know that the arrow landed on the red section 15 times out of 50 total spins. So the experimental probability of landing on the red section is:

P(Red) = Number of red spins / Total number of spins

= 15/50

= 3/10

Therefore, the answer is (D) 3/10.

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Answer:

$217.99

Step-by-step explanation:

To calculate your electricity bill, you need to multiply the number of kilowatt-hours (kWh) used by the rate per kWh.

Using the given information:

Number of kWh used = 2205

Rate per kWh = $0.09884

To calculate the bill:

Bill = Number of kWh used x Rate per kWh

= 2205 kWh x $0.09884/kWh

= $217.99

Therefore, your electricity bill would be $217.99 if you used 2205 kWh at a rate of $0.09884 per kWh.

Answer:

To calculate your bill for using 2205 kWh of electricity at a rate of $.09884 per kWh, you can use the following formula:

Bill = kWh used x Rate per kWh

Plugging in the values given, we get:

Bill = 2205 x 0.09884

Simplifying the calculation, we get:

Bill = 217.5354

Rounding to two decimal places, the bill would be $217.54.

Hope This Helps!

The axis of symmetry of the function h(x) is x = 5. So, option D is correct.

The axis of symmetry of a quadratic function is a vertical line that divides the parabola into two symmetric parts. The axis of symmetry is always a vertical line passing through the vertex of the parabola.

In algebraic terms, the axis of symmetry of a quadratic function of the form [tex]f(x) = ax^2 + bx + c[/tex] is given by the equation:

[tex]x = -\frac{b}{2a}[/tex]

Where a and b are the coefficients of the quadratic expression.

Let's consider the given question:

To find the axis of symmetry of the quadratic function [tex]h(x) = 6x^2 - 60x + 147[/tex], we can use the formula [tex]x = -\frac{b}{2a}[/tex], where a and b are the coefficients of the quadratic expression.

In this case, a = 6 and b = -60, so the axis of symmetry is:

[tex]x = -\frac{(-60)}{2*(6)}[/tex]

[tex]x = 5[/tex].

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3.a. The slope of the line is -2.

b. The y-intercept of the line is 17.

c. The equation of the line is y=-2x+17.

4. The correlation coefficient is -2.

5. When the number of losses is 20, the week is 6.

6. When the week is 15, the number of losses is -13.

It is calculated by dividing the vertical change (rise) between two points by the horizontal change (run) between the same two points.

3.a. The slope of the line is -2.

This can be determined by calculating the change in the y-values

(15-12=3,

12-10=2,

10-7=3,

7-6=1,

6-3=3,

and 3-1=2)

and dividing by the change in the x-values

(1-2=-1,

2-3=-1,

3-4=-1,

4-5=-1,

5-6=-1,

and 6-7=-1),

which gives us (3+2+3+1+3+2)/-6=-2.33=-2

b. The y-intercept of the line is 17.

This can be determined by finding the y-value when x=0.

Since there is no x=0 value in the table, we can use the equation of the line to calculate the y-value when x=0.

When x=0, y=17.

c. The equation of the line is y=-2x+17.

4. The coefficient of correlation is -2.

This can be determined by using the slope of the line, which is -2.

The coefficient of correlation is equal to the slope of the line, which is -2.

5. When the number of losses is 20, the week is 6.

This can be determined by using the equation of the line and solving for x when y=20.

When y=20,

-2x+17=20,

so 2x=3 and x=3/2, which is 6 weeks.

6. When the week is 15, the number of losses is -13.

This can be determined by using the equation of the line and solving for y when x=15.

When x=15,

y=-2(15)+17

=-13.

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Answer:

Step-by-step explanation:

The area of a Circle is (Pie)r^2

Area of the Semi-circle will be (Pie)r^2 /2

In this particular case, the given radius = 98cm.

Therefore, the Area will be (Pie)(98)^2 /2

= (22/7)*(98)^2 /2

=15,092 sq. cms. which will be our final answer.

The equation, (x - 10)² + (y - 5)² = 144, represents a circle with center (10, 5) and radius 12.

From the question, we are to determine the center and radius of the circle represented by the given equation

From the given information, the given equation is

(x - 10)² + (y - 5)²= 144

To determine the center and the radius of the circle we will compare the given equation to the standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

The equation

(x - 10)² + (y - 5)²= 144

can be written as

(x - 10)² + (y - 5)²= 12²

By comparison,

h = 10, k = 5 and r = 12

Hence, the center of the circle is (10, 5) and the radius is 12

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Answer:

x = 12 , -2

Step-by-step explanation:

For the first Question ,

we Know that by VOA , The angles are equal to 40*
and by being a linear pair , we get 180 - 110 = 70*

By exterior angle property , 40 + 70 = 9x - 2

= 110 = 9x - 2

9x = 108

x = 108/9 = 12



For the second question ,

By VOA , we know that the interior angles of the triangle are x+74 , 37 + x and 73


By Angle - sum Property , x+ 74 + 37 + x + 73 = 180

                                               2x + 184 = 180
                                                2x = 180 - 184
                                                2x = -4 , so x = -2

Answer:

Step-by-step explanation:

The median of a data set is the middle number.

The middle number in a data set of 9 will be the 5th number, with 4 on either side.

e.g.

1 2 3 4 5 6 7 8 9

5 is the middle number, as there are four on either side

Answer:

4.85 ft

Step-by-step explanation:

Answer: -25/21

Step-by-step explanation:

[tex](4x+5)/5 + (x-3)/4 = -1\\= > 4(4x+5) + 5(x-3) = -1*5*4\\= > 16x + 20 + 5x - 15 = -20\\= > 21x + 5 = -20\\= > 21x = -20 - 5\\= > 21x = -25\\= > x = -25/21[/tex]