6. Consider the function f(x) = -(x - 7)(x + 3)(x - 2). a) Determine the end behaviour of the function b) Find all X- and y-intercept(s). c) Sketch the function.

The high temperature for today using a 3-day moving average is 92 degrees.

To calculate the high temperature for today using a 3-day moving average, we take the average of the temperatures from the past three days, including today.

Given the daily high temperatures in St. Louis for the last week:

92, 92, 93, 95, 95, 86, 95 (yesterday)

To find the 3-day moving average for today's high temperature, we consider the temperatures from yesterday, the day before yesterday, and three days ago.

(95 + 86 + 95) / 3 = 92

Therefore, the high temperature for today, calculated using a 3-day moving average, is approximately 92 degrees Fahrenheit, rounded to one decimal place.

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Answer:

-3

Step-by-step explanation:

Hey there! :)

Answer:

\(n_{4} = 8\\ n_{5} = 16\)

Formula: \(f(n) = 2^{n-1}\)

Step-by-step explanation:

Derive a rule from the numbers in the sequence:

\(n_{1} = 1\\n_{2} = 2\\n_{3} = 4\)

We can see that each number is double of the previous. We can write an explicit function describing this sequence:

\(f(n) = 2^{n-1}\) where 'n' is the term number.

Substitute in to solve for the 4th and 5th terms:

\(f(4) = 2^{4-1} = 2^{3} =8\)

\(f(5) = 2^{5-1} = 2^{4} =16\)

Therefore:

\(n_{4} = 8\\ n_{5} = 16\)

Answer:

Explanation:

Rational Numbers are numbers that can be represented as a repeating or terminating decimal.

Examples are:

Therefore, Irrational numbers cannot be represented as a terminating decimal.

Answer:

I wrote out the answers on top of the sheet. Hope this helped!

Step-by-step explanation:

The probability that we draw a total of 4 cards is approximately 0.074.

The probability that we draw a total of n cards is a function of n.

the expected number of times we draw a card until we get a heart or a face card is: E(X) = 1/p = 3.25.

To solve this problem, we can use the geometric distribution, which models the number of trials needed to get the first success in a sequence of independent trials.

Since we are drawing a heart or a face card, there are 16 cards (4 face cards and 12 hearts) out of 52 that are successful. Therefore, the probability of success is:

p = 16/52 = 4/13

What is the probability that we draw a total of 4 cards

We want to find the probability that we get the first success on the fourth trial, i.e., we draw three non-successes followed by a success. The probability of this event is:

P(X = 4) = \((1 - p)^3 * p = (9/13)^3 * (4/13) = 0.074\)

We want to find the probability that we get the first success on the nth trial, i.e., we draw n-1 non-successes followed by a success. The probability of this event is:

\(P(X = n) = (1 - p)^(^n^-^1^) * p\)

The expected value of a geometric distribution is 1/p. Therefore, the expected number of times we draw a card until we get a heart or a face card is:

E(X) = 1/p = 13/4

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a) The mean height of adult women in this distribution is 63.5 inches.

b) The standard deviation of heights in this distribution is 4.06 inches.

To calculate the mean and standard deviation of heights in inches, we need to convert the heights given in feet and inches to inches. We can use the formula:

height in inches = 12 x height in feet + height in inches

For the 10th percentile height:

height in inches = 12 x 5 + 0 = 60 inches

For the 90th percentile height:

height in inches = 12 x 5 + 7 = 67 inches

(a) To find the mean height, we can use the formula:

mean = (10th percentile + 90th percentile) / 2

mean = (60 + 67) / 2

mean = 63.5 inches

(b) To find the standard deviation, we can use the formula:

standard deviation = (90th percentile - 10th percentile) / (2 x 1.645)

where 1.645 is the z-score corresponding to a 90% confidence interval.

standard deviation = (67 - 60) / (2 x 1.645)

standard deviation = 4.06 inches

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Answer:

d

Step-by-step explanation:

Answer:

Domain: 0,2,3

Range: -1,-3,-2

Step-by-step explanation:

Answer:

115.96

Step-by-step explanation:

=> \(9393 / 81 * 1\)

By BODMAS, Dividing first

=> 115.96 * 1

Now, Multiplying

=> 115.96

Answer:

115.962963

Step-by-step explanation:

81 x 1 = 81

9393 ÷ 81 = 115.96

Answer:

39

Step-by-step explanation:

273/7=39

Answer:

What is 39 feet

273 Divided By 7= 39 Feet

Please allow me to know if it helped by rating or thank you heart

Have a happy day!

\(\text{Given that}~ x = 2,~ y = 3 ~ \text{and}~ z = -2\\\\\textbf{a)}\\\\2(x-y)=2(2-3) = 2(-1) = \boxed{-2}\\\\\textbf{b)}\\\\4x+3y-z = 4(2) +3(3) -(-2) = 8+9+2=\boxed{19}\\\\\textbf{c)}\\\\-2(3z+y) = -2[3(-2) +3] = -2(-6+3) = -2(-3) = \boxed{6}\)

The regression equation for predicting y from x in the given set of data is y = 1.909x + 2.227. This equation represents the line of best fit that minimizes the sum of squared residuals between the predicted values and the actual values of y based on the corresponding values of x.

To find the regression equation, we use the method of least squares to fit a line to the data points. The equation takes the form of y = mx + b, where m is the slope (coefficient of x) and b is the y-intercept. Using the given set of data, we calculate the slope (m) and the y-intercept (b) to determine the regression equation.

By applying the formulas for m and b:

m = (nΣxy - ΣxΣy) / (nΣx² - (Σx)²)

b = (Σy - mΣx) / n

where n is the number of data points, Σxy is the sum of the products of x and y, Σx and Σy are the sums of x and y respectively, and Σx² is the sum of the squares of x.

By substituting the values from the given data set into these formulas, we obtain the values for m and b. The resulting regression equation for predicting y from x in this case is y = 1.909x + 2.227. This equation represents the line that best fits the data points and can be used to estimate or predict the value of y for any given x within the range of the data.

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Correlated variables are two explanatory factors that are connected to both the response variable and each other. The statistical relationship between two variables, which shows how they change together, is referred to as correlation.

Explanatory variables are used in regression analysis to forecast or explain the response variable. A correlation between two explanatory variables indicates that changes in one are influenced by changes in the other. Understanding the relationship between the explanatory variables and the response variable can be significantly impacted by this correlation. When analysing data, it's crucial to take into account the presence of correlated variables in order to avoid problems like multicollinearity and properly interpret the analysis's findings.

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Answer:

10

Step-by-step explanation:

E={2,3,5,7, 11, 13, 17, 19, 23, 29}

therefore,

n(E)={10}

Answer:

10 if I recall correctly

Answer:

r,myp5\6t[

Step-by-step explanation:

Answer:

there is 243.84 cm in 8 feet

round to the nearest hundredths =3266.53

The fence Ben paints is 150 square feet.

Given:

ratio of the amount of work allen does to the amount of work ben does is 3:5

allen : ben = 3:5

total work done in ratio = 3 + 5 = 8

Count the fence Ben paints

Since , fence requires a total of 240 square feet to be painted

Thus, ben = ratio of ben/ total ratio × total of works

ben = 5/8 × 240

ben = 1,200/8

ben = 150

Hence , The fence Ben paints is 150 square feet .

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In summary, the Total Diet Study conducted by the FDA typically tests around 280 different food samples each year. This study helps monitor the levels of contaminants and nutrients in the average American diet and informs the FDA's regulations and recommendations regarding food safety and nutrition.

The Total Diet Study (TDS) is conducted by the U.S. Food and Drug Administration (FDA) to monitor the levels of various contaminants and nutrients in the average American diet. The study aims to assess potential health risks associated with these substances.
Each year, the TDS collects and analyzes a wide range of food samples from different locations throughout the United States. These samples include fruits, vegetables, grains, dairy products, meat, and seafood, among others.
The number of food samples tested during each TDS cycle may vary, but the study typically analyzes around 280 different food items. These items are selected based on their significance in the American diet and their potential for contamination or nutrient analysis.
By analyzing these food samples, the FDA can identify any potential risks associated with contaminants or nutrient deficiencies. This information helps the FDA in setting regulations and recommendations to ensure the safety and nutritional quality of the food supply.

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The length of the rectangle will be 7 inches, so that its perimeter will be 18 inches.

We have a rectangle with a width of 2 inches and perimeter of 18 inches. Perimeter is the total length of all the boundaries of a closed geometrical shape. So for a rectangle it will be the sum of all four sides. There are two equal and opposite sides.  

So, perimeter of a rectangle = l + l+ b+b = 2(l+b)

  Perimeter  = 18 inches and width = 2 inches. Substituting the values in the equation,

   P = 2 (l+b)

  18 = 2 (l+ 2)

 18/2 = l+ 2

 l = 9 - 2 = 7 inches.

So for a rectangle with a perimeter of 18 inches and width of 2 inches, the length will be 7 inches.

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Answer:

10 hours......is answer

The equation in slope-intercept form of the line with a slope of 2.5 and a y-intercept of (0, 0.5) is y = 2.5x + 0.5.

In slope-intercept form, the equation of a line is given by y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is given as 2.5 and the y-intercept is (0, 0.5).

The slope, 2.5, indicates that for every increase of 1 unit in the x-coordinate, the corresponding y-coordinate increases by 2.5 units. The positive slope means that the line slopes upward from left to right.

The y-intercept, (0, 0.5), indicates that the line intersects the y-axis at the point (0, 0.5). This means that when x = 0, the y-coordinate is 0.5.

By substituting the values into the slope-intercept form equation, we get y = 2.5x + 0.5 as the equation of the line. This equation represents a line with a slope of 2.5 and a y-intercept of (0, 0.5), describing its direction and starting point on the coordinate plane.

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The requried measure of the angle H is m∠H = 26°.

Since the sum of the angles in a triangle is always 180 degrees, we can write:

m∠F + m∠G + m∠H = 180

Substituting the given values, we get:

(5x-6) + (3x+16) + (x+8) = 180

Simplifying and solving for x, we get:

9x + 18 = 180

9x = 162

x = 18

Now, we can use the value of x to find the measures of the angles:

m∠F = (5x-6)° = (5(18)-6)° = 84°

m∠G = (3x+16)° = (3(18)+16)° = 70°

m∠H = (x+8)° = (18+8)° = 26°

Therefore, m∠H = 180 - m∠F - m∠G = 180 - 84° - 70° = 26°

And m∠H = 26°.

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The value of arc angle EFG is 160⁰.

The value of arc angle EHG is 200⁰.

The length of arc EHG is 200⁰

The value of arc angle FEG is 280⁰.

The value of EFG is calculated as follows;

arc ∠EFG = m∠EDF  + m∠FDG (intersecting chord theorem)

arc ∠EFG = 80⁰  + 80⁰

arc ∠EFG = 160⁰

The value of arc EHG is calculated as follows;

arc EHG = 360 - (160⁰) (sum of angles in a circle)

arc EHG = 200⁰

arc length EHG = 200⁰

The value of arc FEG is calculated as follows;

arc FEG = 360 - 80⁰ (sum of angles in a circle)

arc FEG = 280⁰

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Answer:

8 (sorry if i got it wrong)

Answer:

0.19 50% 15/20 9/10 95%

Step-by-step explanation:

I know

The resulting cross-section of a cylinder intersected by a plane parallel to the bases is a circle.

When a plane passes through a cylinder parallel to the bases, it creates a cross-section that is congruent to the bases of the cylinder. Since the bases of a cylinder are circles, the resulting cross-section is also a circle. The circle formed will have the same diameter as the bases of the cylinder and will be parallel to them. This is because the plane slices through the cylinder at a constant distance from the bases, resulting in a circular shape that is perpendicular to the axis of the cylinder. This characteristic holds true for any position of the plane parallel to the bases, resulting in circular cross-sections.

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The given condition can be modeled by the compound inequality:

x < -3 or x > 3.

We want to find an inequality that describes the next condition:

"All real numbers X with an absolute value of greater than three"

So our variable will be X, and the absolute value of X is written as:

|X|

We want to have an absolute value larger than 3, so we can write the inequality:

|X| > 3.

The absolute value part can be separated into two, such that we will get two inequalities:

x > 3

x < -3

So the inequality that illustrates the given condition is the compound inequality:

x < -3 or x > 3.

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