Which of the following functions is graphed below?

The temperature that separates the top 7% from the bottom 93% is 98.78°F.

To solve this problem, we need to use the concept of the normal distribution. In a normal distribution, data is symmetrically distributed around the mean, with the majority of values falling within a certain range determined by the standard deviation. In this case, we are given a normal distribution of human body temperatures with a mean of 98.20°F and a standard deviation of 0.62°F.

To find the temperature that separates the top 7% from the bottom 93%, we need to locate the value on the distribution that corresponds to the 93rd percentile. The 93rd percentile represents the point below which 93% of the data falls. Conversely, the top 7% of the data lies above this point.

Using statistical tables or a calculator, we can determine the z-score corresponding to the 93rd percentile. The z-score measures the number of standard deviations a given value is away from the mean. Once we find the z-score, we can use it to calculate the temperature value.

In this case, the z-score corresponding to the 93rd percentile is approximately 1.475. We can then use the z-score formula: z = (x - mean) / standard deviation. Rearranging the formula to solve for x (the temperature value), we get x = (z * standard deviation) + mean. Plugging in the values, we find x = (1.475 * 0.62) + 98.20 = 98.78°F.

Therefore, the temperature that separates the top 7% from the bottom 93% is approximately 98.78°F. This means that 93% of human body temperatures are below 98.78°F, while the top 7% are above this value.

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Population: The set of all possible customers in the store.

Sample: The 82 customers randomly surveyed.

Variable: Age of the customers Type of variable: Quantitative parameter

Parameter: The mean age of all the customers in the store.

Statistic: The sample mean age of the 82 customers surveyed.

Analysis: The mean age of all customers is a parameter since the store owner is interested in knowing the mean age of all the customers that come to her store.

The store owner will be interested in collecting data on all the customers who come to her store. Since this will be difficult, she will sample some customers instead. The store owner randomly surveyed 82 customers, which is the sample size. The variable of interest is the age of the customers. This is a quantitative variable since it is measured using numerical values. The sample mean age of the 82 customers surveyed is a statistic.

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Answer:

at first , you need the sum of both equations . It will be like :

2y= 0 + 2

Y=1

_____

now that you know the value of Y , place it in the one of the equation that you like , forexample i place it in the second equation and find out that the value of x is ( -3/2)

1= 2X+5

-4=2X

X= -2

Hope it helps , good luck ^.^

Answer:

16.0(?)

Step-by-step explanation:

I’m not really sure if it’s correct. But I’m assume it’s correct.

Answer:

h = 403.92in or 1026cm

Step-by-step explanation:

Given

Let x represent the density of mercury, and y the density of water.

[tex]y = 13.5x[/tex]

[tex]Mercury\ barometer =76cm[/tex] or [tex]Mercury\ barometer =29.92in[/tex]

Required

Determine the height of the barometer

At standard atmospheric pressure, the relationship between the mercury barometer and the height (h) of the barometer is:

[tex]h = 13.5 * Mercury\ barometer[/tex]

In centimeters, we have:

[tex]h = 13.5 * 76cm[/tex]

[tex]h = 1026cm[/tex]

In inches, we have:

[tex]h = 13.5 * 29.92in[/tex]

[tex]h = 403.92in[/tex]

The largest area the rectangle can have is -1024 square units.

To solve the given problem, follow the steps given below:

Step 1: Sketch the given graph on a coordinate plane as shown below:

Step 2: Let's assume that the base of the rectangle is x units and its height is y units.

Step 3: As the base of the rectangle is on x-axis, we have the length of the base as the x-coordinate of the upper two vertices of the rectangle.

Now, the x-coordinate of the upper two vertices of the rectangle lie on the given semicircle whose equation is y = V1 - 32.

So, we can write:

y = V1 - 32x^2 = (y + 32)^2 ⇒ x^2 = y^2 + 64y + 1024

Step 4: Now, we can write the area of the rectangle as: A = base × height= x × y

Using the value of x from equation (1), we get: A = (y^2 + 64y + 1024)1/2 y

So, we have an equation for area in terms of y. Let's differentiate it with respect to y to find the maximum value of A. dA/dy = (y^2 + 64y + 1024)-1/2 (2y + 64)

By equating dA/dy = 0, we get: 2y + 64 = 0y = -32

Substituting the value of y in equation (2), we get:x^2 = 1024 ⇒ x = ±32

The given rectangle lies in the first quadrant.

Hence, the length of the base of the rectangle is x = 32 units.

So, we have the dimensions of the rectangle as length = 32 units and breadth = height = y = -32 units.

However, as the length and breadth of the rectangle cannot be negative, we cannot consider the negative value of y.

Therefore, the maximum area of the rectangle is: A = base × height= 32 × (-32)= -1024 sq. units

Hence, the largest area the rectangle can have is -1024 square units.

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Answer:

y = 6

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in y = 3 and x = 9, and solve for k

y = kx

3 = k(9)

1/3 = k

So, the equation is y = 1/3x

Plug in 18 as x and solve for y

y = 1/3x

y = 1/3(18)

y = 6

So, when x = 18, y = 6

Answer:

12.68 de

Step-by-step explanation:

[tex]\Huge \textsf{Answer:\fbox{25 pizzas and 80 sodas sold.}}}[/tex]

[tex]\Huge \textsf{Step-by-step explanation}[/tex]

[tex]\LARGE \bold{\textsf{Step 1: Assign Variables}}[/tex]

[tex]\textsf{Let's assign a variable for the number of pizzas sold, we will call it \textit{"p."}}\\\textsf{And we will assign the variable\textit{"s"} for the number of sodas sold.}[/tex]

[tex]\LARGE \bold{\textsf{Step 2: Write equations based on the given information}}[/tex]

[tex]\large \bold{ \textsf{From the problem, we know that:}}[/tex]

[tex]\bullet \textsf{The school made \$260 from seeling 4 pizzas and 2 sodas.}\\\\\bullet \textsf{The number of sodas sold was five more than three times the number of pizzas sold.}[/tex]

[tex]\large \bold{ \textsf{We can use this information to write two equations:}}[/tex]

[tex]\text{Equation 1} : 4p + 2s = 260 \text{(since each pizza costs \$4 and each soda costs \$2)}[/tex]

[tex]\text{Equation 2} : s = 3p + 5 \text{(The number of sodas sold was 3 times the number of}\\\text{pizzas sold plus 5)}[/tex]

[tex]\LARGE \bold{\textsf{Step 3: Solve the system of equations}}[/tex]

[tex]\large \textsf{To solve the system of equations, we can substitute Equation 2 into Equation}\\\textsf{1 for \textit{"p"}:}[/tex]

[tex]\bullet \textsf{4\textit{p} + 2\textit{s} = 260}\\\\\bullet \textsf{4\textit{p} + 2(3\textit{p} + 5) = 260}[/tex]

[tex]\large \textsf{Simplifying this expression gives us:}[/tex]

[tex]\textsf{10\textit{p} + 10 = 260}[/tex]

[tex]\large \textsf{Subtracting 10 from both sides:}[/tex]

[tex]\textsf{10\textit{p} = 250}[/tex]

[tex]\large \textsf{Dividing both sides by 10}[/tex]

[tex]\textsf{\textit{p} = 25}[/tex]

[tex]\large \textsf{Now that we know the number of pizzas sold, we can use Equation 2 to find}\\\textsf{the number of sodas sold:}[/tex]

[tex]\bullet \textsf{\textit{s} = 3\textit{p} + 5}\\\\\bullet \textsf{\textit{s} = 3(25) + 5}\\\\\bullet \textsf{\textit{s} = 75 + 5}\\\\\bullet \textsf{\textit{s} = 80}[/tex]

[tex]\large \textsf{So, 25 pizzas and 80 sodas were sold.}[/tex]

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The domain of the function f(x) = x² - 2x + 1 is all real numbers, which is denoted as (-∞, +∞).

To find the domain of the function f(x) = x² - 2x + 1, we determine the set of all possible values for x that make the function well-defined.

The given function is a polynomial-function, and polynomial functions are defined for all real numbers. So, the domain of f(x) = x² - 2x + 1 is the set of all real numbers, which can be represented as (-∞, +∞).

It means that any real-number can be substituted into the function, and it will give a valid output. There are no limitations on the possible values of x in this case.

Therefore, the domain is all real numbers.

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The given question is incomplete, the complete question is

Find the domain of the function f(x) = x² - 2x + 1.

Answer:

m<PRS+m<PRQ=m<QRS.

17 + 17 = 34

m<QRS=34

Answer:

the answer is 675.70 or 4,504.33

Step-by-step explanation:

the right answer is that

The difference between a low-cost provider strategy and a focused low-cost strategy lies in their scope and target market. A low-cost provider strategy aims to achieve a cost advantage over competitors while targeting a broad market segment.

A low-cost provider strategy involves offering products or services at a lower cost compared to competitors while targeting a broad customer base. The focus is on achieving economies of scale, operational efficiencies, and cost reduction across the value chain to deliver products or services at competitive prices. This strategy aims to attract a large customer base through cost advantages and can be employed in various industries.

In contrast, a focused low-cost strategy narrows down the target market to a specific segment or niche. Instead of targeting a broad market, the company focuses on serving a particular group of customers with specialized needs or preferences. By understanding the unique requirements of this specific segment, the company can tailor its offerings and operations to provide lower costs, thereby gaining a competitive edge within that niche market. This strategy allows for a more concentrated effort and customization to cater to the specific demands of the chosen market segment.

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The minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor is 86.64%.

To find the minimum percentage of data values that lie within the range of $48 to $60 an hour for the mechanic's labor.

We need to calculate the z-scores for both values and use a z-table to find area under the normal curve between those two scores.

First, we calculate the z-score for $48 an hour:

z = (48 - 54) / 4 = -1.5

Next, we calculate the z-score for $60 an hour:

z = (60 - 54) / 4 = 1.5

Using a standard normal distribution table, we can find that the area under the curve between -1.5 and 1.5 is approximately 0.8664 or 86.64%.

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Answer:

Reconciled balance $3,142.11

Step-by-step explanation:

The computation of the reconciled balance is shown below:

Debit balance as per check book $1,955.81

Add: interest earned $31.55

Collection of note $3,100

Outstanding checks $2,919.43

Less: service charges -$22.80

Less: deposit in transit -$3,991.88

Less: forgot a check -$850

Reconciled balance $3,142.11

The same would be relevant and considered too

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

The least squares regression line y-3 x-3 is (a) "The relationship between x and y is positive."

To get the area under the standard Normal curve corresponding to Z < 0.75, we can use the standard Normal distribution tables. The tables provide the cumulative probability up to a given Z-score.

Looking up the value of 0.75 in the standard Normal distribution table, we find that the corresponding area is approximately 0.7734.

Therefore, the answer is (b) 0.7734.

Regarding the least squares regression line y = 3x - 3, we can make the following observations:

a. The relationship between x and y is positive: This is true because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

b. The relationship between x and y is negative: This is false because the coefficient of x (3) is positive, indicating a positive relationship between x and y.

c. As x decreases, y increases: This is false because as x decreases, y will also decrease based on the equation y = 3x - 3.

d. None of the answer options is correct: This is false because option (a) "The relationship between x and y is positive" is correct.

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Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

Answer:

Step-by-step explanation:

Volume of prism = length * width * height  

                            = 8 1/2 *  7 * 4

                            [tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]

Answer:

Z max  = 1500

x₁  = 15

x₂ = 0

Step-by-step explanation:

From problem statement:

                                                      Plant A              Plant B     Profit $/each

Product 1 (Doors )          x₁                  2                          4            100

Product  2 (windows )   x₂                  3                           4              80

Product  2 (windows )   x₂   above 10 is scrap

Objective function to maximize

z = 100*x₁   +  80*x₂

Subject to:

Plant A capacity

2*x₁ + 3*x₂   ≤  40

Plant B capacity

4*x₁  + 4*x₂  ≤ 60

Windows condition:

0*x₁  + x₂  ≤  10

Model:

Max      z  =  100*x₁   +  80*x₂

Subject to:

2*x₁ + 3*x₂   ≤  40

4*x₁  + 4*x₂  ≤ 60

              x₂ ≤ 10

x₁ , x₂ ≥  0    and integers

Afther 6 iterations using Simplex Solver AtomZmath

Z max  = 1500

x₁  = 15

x₂ = 0

Answer:

12.5 minutes

Step-by-step explanation:

Multiply 1/8 by 100. Convert 25/2 to a decimal by dividing 25 by 2. The answer is 12.5 minutes.

Answer:

Total cost= 99 + 2.97x

Step-by-step explanation:

Giving the following information:

Fixed cost= $99

Variable cost= 3% per person

First, we need to calculate the 3% of 99:

Unitary variable cost= 99*0.03= $2.97

Now, we establish the total cost structure:

Total cost= 99 + 2.97x

x= number of people in attendance

Finally, suppose 200 people attend the party:

Total cost= 99 + 2.97*200

Total cost= $693

Answer:

2

Step-by-step explanation:

Answer:

2 is answer i promise

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Because the remainder is not zero

Answer: 12 claps per second

Step-by-step explanation: divide both by 60 and yield 12 times -1 second

Answer:

-9p+3

plz mark me as brainliest

Answer:

x^3

Step-by-step explanation:

quotient property of exponents

I think the answer is c. x^3

Answer:

range

Step-by-step explanation:

The difference between the lowest and the highest number is called the range. The middle value is the median (it's in the "mid"dle, median) The mean is the average. And the mode is the most frequent value.