What is the equation, in factored form, of the quadratic function shown in the graph?

Graph shows upward parabola on a coordinate plane. Parabola vertex is at (minus 0.5, minus 6.2) in quadrant 3. Left slope intersects X-axis at (minus 3, 0) and enters quadrant 2. Right slope intersects X-axis at (2, 0) and enters quadrant 1.

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Answer:

740%

Step-by-step explanation:

a.  The 68% of the widget weights lie between  33 ounces and  55 ounces.

b. The percentage of widget weights lying between 11 and 55 ounces is approximately 68%.

c. The percentage of widget weights lying above 22 ounces is approximately = 5%.

Based on the given data points: 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, the five-number summary can be identified as follows:

Minimum: 5

First Quartile (Q1): 7

Median (Q2): 11

Third Quartile (Q3): 15

Maximum: 18

Now, let's answer the questions related to the distribution of widget weights using the Empirical Rule:

a) The Empirical Rule states that for a bell-shaped distribution, approximately 68% of the data lies within one standard deviation of the mean. Since the mean is 44 ounces and the standard deviation is 11 ounces, we can say that approximately 68% of the widget weights lie between 44 - 11 = 33 ounces and 44 + 11 = 55 ounces.

b) To determine the percentage of widget weights lying between 11 and 55 ounces, we need to calculate the z-scores for these values. The z-score is calculated using the formula: z = (x - mean) / standard deviation.

For 11 ounces: z1 = (11 - 44) / 11 = -33/11 = -3

For 55 ounces: z2 = (55 - 44) / 11 = 11/11 = 1

Using the Empirical Rule, we know that approximately 68% of the data lies within one standard deviation of the mean. Therefore, the percentage of widget weights lying between 11 and 55 ounces is approximately 68%.

c) To determine the percentage of widget weights lying above 22 ounces, we need to calculate the z-score for 22 ounces: z = (22 - 44) / 11 = -22/11 = -2.

Using the Empirical Rule, we know that approximately 95% of the data lies within two standard deviations of the mean. Therefore, the percentage of widget weights lying above 22 ounces is approximately 100% - 95% = 5%.

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Covariance is the measure of the joint variability of two random variables. It measures how much two random variables are linearly related to each other. It is denoted by Cov(X, Y).

f(x, y) = 2(xo-* yot) _40536 orgs 7.6, otherwise, covariance X1j = ?The value of covariance X1j can not be determined from the given equation f(x, y) = 2(xo-* yot) _40536 orgs 7.6. There is no relation mentioned between the variables of x and y in the equation. The equation f(x, y) = 2(xo-* yot) _40536 orgs 7.6 means that the function f(x, y) is the multiplication of the value of x to the value of y and then multiplying it by a constant value. The value of the constant is 2(xo-* yot) _40536 orgs 7.6 but the actual value of x and y is unknown. Therefore, we can not calculate the covariance X1j using the given equation. The covariance X1j needs at least two random variables to determine their interdependence, whereas the given equation is a single-variable function that has no relation between two variables .

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Answer:

A = 1413.72 unit²

Step-by-step explanation:

area of a semicircle formula: A = (πr²)/2

To find the area of a semicircle that has a radius of 30 feet, apply r = 30 to the formula A = (πr²)/2:

A = (π30²)/2

A = 1413.72 unit²

Both (4, 1) and (5, 2) is the solution to the given equation. Therefore, option C is the correct answer.

The given equation is y+1=3(x-4).

A) The given coordinate point is (4, -1).

Substitute (x, y)=(4, -1) in y+1=3(x-4), we get

-1+1=3(4-4)

0=0

So, (4, -1) is the solution to the given equation.

B) The given coordinate point is (5, 2).

Substitute (x, y)=(5, 2) in y+1=3(x-4), we get

2+1=3(5-4)

3=3

So, (5, 2) is the solution to the given equation.

C) Here, both (4, 1) and (5, 2) is the solution to the given equation.

Therefore, option C is the correct answer.

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Answer:

50 x 100=5,000

Step-by-step explanation:

50 x 100

Answer:

equal

Step-by-step explanation:

Most quadratic equations have equal roots.

Answer:

I need help with math too. Can u help me and I’ll help u

Step-by-step explanation:

Answer:

$84

Step-by-step explanation:

Answer:

$4.20 / box

Step-by-step explanation:

12.60 / 3 = 4.20

Answer: y = (3^(x-1))*1500

Step-by-step explanation:

We want the relationship

y = f(x)

where y is the number of songs, and x is the number of years.

We know that in the first year, x = 1, the site has 1,500 songs.

The next year, x = 2, the number of songs is tripled, then we will have:

1,500*3 = 4500 songs.

The next year, x = 3, we will have: 3*(3*1500) = (3^2)*1500.

when x = 4, the number is tripled again:

3*(3^2)*1500 = (3^3)*1500

We already can see the pattern, for the year x, the site will have:

y = (3^(x-1))*1500 songs.

This is the equation we are looking for.

The correct answer to 0.125 x 0.08 is 0.01. Dina's calculator provided the correct result.

The rule Dina mentioned about multiplying 125 x 8 and then moving the decimal point 5 places is not applicable in this case. When multiplying decimal numbers, we need to consider the number of decimal places in each factor.

Here's the correct approach to multiply 0.125 x 0.08:

Step 1: Ignore the decimal point and multiply the numbers as if they were whole numbers:

0.125 x 0.08 = 125 x 8

Step 2: Count the total number of decimal places in the original numbers:

0.125 has three decimal places

0.08 has two decimal places

Step 3: Add the number of decimal places from the original numbers:

Three decimal places + two decimal places = five decimal places

Step 4: Place the decimal point in the result by counting five places from the right:

125 x 8 = 1000

Adding the decimal point five places from the right gives us the final answer: 0.01000

Therefore, the correct answer to 0.125 x 0.08 is 0.01. Dina's calculator provided the correct result.

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Answer:

27.6 cm

Step-by-step explanation:

Answer: 44.6

Step-by-step explanation:

It’s not that hard use the formula of the volume of a sphere. And just replace the R with whatever your radius is, if you have a diameter just divide it by 2 to get the radius. Hope this helps

Answer:

Part I:  The degree of a polynomial is the greatest of the degrees of its terms.

Part II:  In order to write a polynomial in descending order, you must write the terms with the exponents decreasing from left to right.

Part III: A. -4x² + 11x - 12, degree = 2,

B. 5x³ + 4x + 14, degree = 3.

Step-by-step explanation:

Part I : Since the degree of a polynomial is the highest power of its monomials ( single term ),

e: degree of is 5.

Thus, in part I, the correct option is 'greatest'

Part II: When we write a polynomial then we write the terms of the polynomial in descending order of their degrees.

Thus, in part II the correct option is 'least'

Part III: A.  

∵ -4x² has the highest power in the polynomial.

⇒ Degree = 2,

Also, in the polynomial descending order of degrees,

2 > 1 > 0

⇒ polynomial in descending order,

B.  

Combining like terms,

∵ 5x³ has the highest degree,

⇒ Degree = 3,

Also, the order of the degrees in the polynomial is,

3 < 2 < 1 < 0

Thus, the polynomial in descending order,

Answer: I had trouble with this one too.

Step-by-step explanation:

Answer:

The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Step-by-step explanation:

Here are the options to this question :

A) The sales tax rate is 6%

B) The sales tax rate is 8%.

C. The sale price is 20% less than the regular price

Sales tax rate = (tax paid / discounted selling price) x 100

tax paid = amount customer paid - discounted selling price

$73.44 - $68 = $5.44

($5.44 / $68) x 100 = 8%

The sales tax is 8%

Sales price = (discount / initial price) x 100

discount = $85 - $68 = $17

($17 / 85) x 100 = 20%

Answer:

B.) The Sales Tax Rate is 8%

C.) 85-68/85 = discount rate

E.) The Sale Price is 20% less than the regular price.

Step-by-step explanation:

i did the usatestprep :)

The number of conversions Mrs. Yellow's company can achieve is 10, and the revenue they can earn is $10,000.

Mrs. Yellow is an email marketing manager and her company has the following characteristics:

20% open rate, 5% click-through rate, 5% conversion rate, and $1000 average order value. She is sending the promotion email to a list of 20000 members.

To calculate the number of conversions and revenue, we need to use the following formula:

Revenue = Number of conversions × Average order value

Number of conversions = Total number of emails × Conversion rate

Total number of emails = Total number of opened emails × Click-through rate

Total number of opened emails = Total number of sent emails × Open rate

Total number of sent emails = 20,000

Revenue = Number of conversions × Average order value

Total number of sent emails = 20,000

Total number of opened emails = 20,000 × 20/100 = 4,000

Total number of emails = 4,000 × 5/100 = 200

Number of conversions = 200 × 5/100 = 10

Revenue = 10 × 1,000 = $10,000

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Answer:

Hello! A function is easily identified when an x value does not have more than 1 y value. a y value can have as many x values to infinity, but x can only have one y.

Example...

x                       y

3                       5

4                       5

1                        2

The specificity of the diagnostic test is 88%, indicating its ability to accurately identify individuals without the disease as negative.

Specificity is a measure of the test's ability to correctly identify individuals without the disease as negative. To calculate the specificity, we need to consider the number of true negatives (controls who yield negative tests) and the total number of controls.

In this case, the number of controls tested is 250, and out of those, 30 yield positive tests. The number of true negatives can be calculated by subtracting the number of false positives (controls who yield positive tests) from the total number of controls:

Negatives which are true = Total Controls - False Positives

True Negatives = 250 - 30 = 220

The specificity is then calculated as the ratio of true negatives to the total number of controls:

Specificity = True Negatives / Total Controls

Specificity = 220 / 250 ≈ 0.88

Therefore, the specificity of this test is approximately 0.88 or 88%. This means that the test correctly identifies 88% of individuals without the disease as negative.

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Statistic 1 would you recommend for estimating average of smallest and largest values in the sample

To compute Statistics 1, 2, and 3 for the given samples, and determine which statistic would be recommended for estimating the average of the smallest and largest values, let's go through each sample one by one:

1. 2,3,3*

 Statistics 1: Sum of the values = 2 + 3 + 3 = 8

 Statistics 2: Average of the values = (2 + 3 + 3) / 3 = 2.67

 Statistics 3: Median of the values = 3

2. 2,3,4

   Statistics 1: Sum of the values = 2 + 3 + 4 = 9

   Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

   Statistics 3: Median of the values = 3

3.  2,3,4*

    Statistics 1: Sum of the values = 2 + 3 + 4 = 9

    Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

    Statistics 3: Median of the values = 3

4. 2,3*,4*

Statistics 1: Sum of the values = 2 + 3 + 4 = 9

Statistics 2: Average of the values = (2 + 3 + 4) / 3 = 3

Statistics 3: Median of the values = 3

5. 2,4,4*

Statistics 1: Sum of the values = 2 + 4 + 4 = 10

Statistics 2: Average of the values = (2 + 4 + 4) / 3 = 3.33

Statistics 3: Median of the values = 4

6. 3,3*,4

Statistics 1: Sum of the values = 3 + 3 + 4 = 10

Statistics 2: Average of the values = (3 + 3 + 4) / 3 = 3.33

Statistics 3: Median of the values = 3

7.  3,3*,4*

Statistics 1: Sum of the values = 3 + 3 + 4 = 10

Statistics 2: Average of the values = (3 + 3 + 4) / 3 = 3.33

Statistics 3: Median of the values = 3

8.  3,4,4*

Statistics 1: Sum of the values = 3 + 4 + 4 = 11

Statistics 2: Average of the values = (3 + 4 + 4) / 3 = 3.67

Statistics 3: Median of the values = 4

9.  3*,4,4*

Statistics 1: Sum of the values = 3 + 4 + 4 = 11

Statistics 2: Average of the values = (3 + 4 + 4) / 3 = 3.67

Statistics 3: Median of the values = 4

For estimating the average of the smallest and largest values in the sample, the recommended statistic would be Statistics 1, which is the sum of the values. Taking the average of the smallest and largest values can be obtained by dividing the sum by the number of values, which in this case is 3.

Therefore, the recommended statistic for estimating the average of the smallest and largest values is Statistics 1 (sum of the values).

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Answer:

72°

Step-by-step explanation:

From the question,

Area of the circle = πr²

A = πr²................. Equation 1

Where r = radius of the circle.

⇒ r = √(A/π)............. Equation 2

Given: A = 346.5 cm², π = 3.14

r = √(346.5/3.14)

r = √(110.35)

r = 10.5 cm.

Therefore,

circumference of the circle = 2πr = 2×3.14×10.5

circumference = 65.94 m

If the length of the arc(s) is 1/5 of its circumference.

Therefore, length of arc (s) = 13.188

⇒ length of arc/circumference = 13.188/65.94 =  1/5

s/2πr = θ/360

Where θ = angle substends at the center of the circle

1/5 = θ/360

θ = 360/5

θ = 72°

Answer:

Answer is A.  -296x+960/ -636x+3,024

Step-by-step explanation:

Answer:

HEREEE besties

The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.

To calculate the income elasticity of demand, we need to use the formula:

Income Elasticity of Demand = Percentage change in quantity demanded / Percentage change in income

Given that incomes increase by 58% and the quantity demanded of tennis balls drops by 87%, we can plug these values into the formula:

Income Elasticity of Demand = (-87%)/58%

Simplifying the calculation:

Income Elasticity of Demand = -1.5

The income elasticity of demand for tennis balls is -1.5. The negative sign indicates an inverse relationship between income and the quantity demanded of tennis balls, suggesting that tennis balls are an inferior good.

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a) The value of k for the systematic sample is given as follows: k = 114.

b) The individuals are: 1, 2, 3, 4, 5.

In a systematic sample, every kth element of the sample out of a sample of n elements is taken.

In this problem, we have a total of 5705 employees, and want a systematic sample of 50 employees, hence the value of k is obtained as follows:

k = 5705/50 = 114.

(rounding the value down to the nearest integer, we just divide the number of people by the sample size to obtain the value of k).

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Answer:

no

Step-by-step explanation:

To determine if (1, 6) is a solution, substitute x = 1, y = 6 into the left side of both equations and if the value obtained equals the right side then it is a solution.

10(1) - 6 = 10 - 6 = 4 ≠ - 6

- 10(1) + 5(6) = - 10 + 30 = 20 ≠ 30

Then (1, 6 ) is not a solution to the system

It is a fundamental concept in statistical inference and scientific research.

The hypothesis is a statement that the value of a population parameter is equal to some claimed value. A hypothesis serves as a proposed explanation or prediction about the population based on existing knowledge or observations. In statistical hypothesis testing, two types of hypotheses are considered: the null hypothesis (H0) and the alternative hypothesis (Ha). The null hypothesis assumes no significant relationship or difference between variables, while the alternative hypothesis suggests the presence of a significant relationship or difference.

Hypothesis testing involves collecting sample data and performing statistical analysis to evaluate the evidence against the null hypothesis. The goal is to determine whether the data provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis. This process allows researchers to make conclusions about the population based on the available evidence.

Hypothesis testing provides a framework for making objective and informed decisions in various fields of study, such as psychology, biology, economics, and more. It enables researchers to validate or challenge theories, investigate causal relationships, and contribute to the advancement of knowledge in their respective disciplines.

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Answer:

1 hour

Step-by-step explanation:

Travels 18 km/h

km/h = kilometers per hour

Answer:

1 hour

Step-by-step explanation:

Answer:

The equation is x-18 + 8x = 180 (because they form a linear pair of angles.

Each angle measure:-

x-18 + 8x = 180

x + 8x = 180 + 18 (-18 becomes +18)

9x = 198

x = 198/9

x = 22

Angle 1 = x-18 = 22-18 = 4 degrees

Angle 2 = 8x = 8 * 22 = 176 degrees

Hope it helps :')

Answer:

D

Step-by-step explanation:

please mark brainliest thanks:)

Answer:

381 in^3

Step-by-step explanation:

The volume of the green block is V1 = length(width)(height), or

                                                         V1 = (16 in)(7 in)(3 in) = 336 in^3, and

the volume of the red triangular prism is V2 = (1/2)(3 in)(5 in)(6 in) =

                                                           V2 = 45 in^3

So the total volume is the sum of these two results:  381 in^3