Find the cost of a radio that sells for $276.45 and has a markup of $36.95.

Answer:

B

Step-by-step explanation:

A p e x :3

Answer: B a parallelogram and then a rectangle

Step-by-step explanation:

Answer:

a) To estimate the probability that the server will earn at least $800 in tips, we need to use the cumulative distribution function (CDF) of the normal distribution, since the mean and standard deviation of the tips are given. The CDF of the normal distribution with mean μ and standard deviation σ is given by F(x) = P(X <= x) = (1/2)(1 + erf((x-μ)/(σ * sqrt(2)))

We can use this formula to find the probability that the server will earn at least $800 in tips. We know that the mean of the tips is $10.70, and the standard deviation is $6.70. Therefore, we can calculate the CDF of the normal distribution with μ = $10.70 and σ = $6.70.

P(X >= 800) = 1 - P(X <= 800) = 1 - F(800)

b) To find out how much the server earns on the best 10% of such weekends, we need to find out what the 90th percentile of the distribution is. We can use the inverse cumulative distribution function (ICDF) of the normal distribution to find this. The ICDF of the normal distribution with mean μ and standard deviation σ is given by x = μ + σ * sqrt(2) * erf^-1(2F(x) - 1)

We know that the mean of the tips is $10.70, and the standard deviation is $6.70. Therefore, we can calculate the ICDF of the normal distribution with μ = $10.70 and σ = $6.70.

Then we can find the 90th percentile: x = $10.70 + $6.70 * sqrt(2) * erf^-1(2*0.1 - 1)

Please note that the above calculation required erf^-1(inverse error function) which is not a standard function on most calculators, you may need to use a software/programming language to find it.

Answer:

I think B or C I'm not sure but I hope this helps!

Step-by-step explanation:

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

RECT is a square (not drawn to scale).

RA = 13² - 3x - 3  

AC = x(x + 2)

The diagonals of the square will be RC and ET. And "A" is the intersection point. Then the equation is given as,

RA = AC

13² - 3x - 3 = x(x + 2)

169 - 3x - 3 = x² + 2x

x² + 5x - 166 = 0

x = [- 5 ± √(5² - 4 × 1 × (-166))] / (2 × 1)

x = 10.62, -15.62

Then the length of AC is given as,

AC = 10.62 (10.62 + 2)

AC = 134.13 units

The diagonals of the square are congruent. Then we have

ET = RC

ET = 2 AC

ET = 2 x 134.13

ET = 268.3 units

Then the length RT is given as,

RT = ET / √2

RT = 198.7 units

The length of ET and the length of RT to the nearest tenth will be 268.3 units and 198.7 units, respectively.

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Answer:

Step-by-step explanation:

First we are going convert 6 hours to minutes and then seconds

1 hour= 60 mins

6 hours= 6 multiply by 60

           = 360 mins

1 min= 60 secs

360mins to seconds= 360 multiply by 60

                                  =21600

The resistance in the circuit is 11.63 ohms

Resistance is the opposite of the flow of current. It can also be defined as the ratio of square of voltage to the power of a circuit. It is measured in ohms.

The factors that affects the resistance of a conductor are;

1. temperature

2. length of the wire

3. Area of the wire

4. Nature of the wire

power = V²/R

R = V²/P

P = 1238 W

v = 120

R = 120²/1238

R = 14400/1238

R = 11.63 ohms

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Answer:

angles 4 and 2 are congruent

Step-by-step explanation:

the same

The mistake is in second step

The correct option is option C)

What is linear equation in one variable?

An linear equation in one variable has only one variable and constant presents and degree of variable is one. To solve such equation we separate the variables and constants one side respectively

We are given an equation,

8p+5 = 10p-4

Now we separate the variable and constant

5+4 = 10p-8p

9= 2p

p =9/2

Where as in the given step 2 rather than subtracting they are adding the variable term. which leads to the mistake

Hence,

The mistake is in second step

The correct option is option C)

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Answer: 0.75

Step-by-step explanation:

Answer:

$51.75

Step-by-step explanation:

The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.

15% + 100% = 115%

She will pay 115% of $45.

115% of $45 = 1.15 * $45 = $51.75

Answer:

12

Step-by-step explanation:

6/4 is equal to 1.5, multiply that by 8 and you get 12

Answer:14

Step-by-step explanation:

8 divided by 2 = 4 hits

So

28 divided by 2 = 14

Answer:

Step-by-step explanation:

Frequency table for the data given in the picture will be,

Number of stories             Frequency

           1                                     2        

           3                                    3

           4                                     1

           6                                    2

           7                                     1

           8                                     1

           9                                     1

           23                                   1

Answer:

Step-by-step explanation:

Continuous compounding has the form

\(A=Pe^{rt}\\ \\ t=\frac{ln\frac{A}{P}}{r}\\ \\ t=\frac{ln\frac{7440}{5900}}{0.02}\\ \\ t\approx 11.6\\ \\ t=12\)

Therefore it will take 12 years for the value of the account to reach $7,440.

Compound interest (or compounding interest) is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods.

Annabelle invested amount $5900

Final Amount $7440

Rate = 2% compounded continuously

When compounded Continuously ,

\(\rm A = P e^{rt}\\\\\\t=\dfrac{ln \frac{A}{P}}{r}\\\\\\\\t=\dfrac{ln \frac{7440}{5900}}{0.02}\\\\t= 12\)

it will take 12 years for the value of the account to reach $7,440.

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Answer:

A. 1/2

Step-by-step explanation:

So 15/24 = 0.625

therefore you need to convert all the fractions into decimals and determine which decimal is less than 0.625

a) 0.5 ------ding ding ding correct answer :)

b) 0.875

c) 0.79

d) 0.75

If this helped, please don't forget to give me brainliest!

The transformation in the picture is option c Reflection.

Given,

Reflection transformation:

A reflection is a transformation that works similarly to a mirror by switching all pairs of points that are directly across from one another along the line of reflection. A mathematical formula or the two sites it passes through can be used to define the line of reflection.

According to the law of reflection, r = I the angle of incidence and reflection are equal. θ r = θ I . At the point where the ray strikes the surface, the angles are measured in relation to the perpendicular to the surface.

Here,

In the picture the transformation is reflection.

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Answer:

5.83

Step-by-step explanation:

Answer:

HI

The scale fact from the smaller to the larger is 3.  The scale factor from the larger to the smaller is 1/3

Step-by-step explanation:

The answer of the given question based on graphing the function the points are (-4, 4) and (-3, 6) , and (2, 9) and (3, 10). the graph is shown below.

A function is a rule that assigns a unique output value to each input value in a given set. The input values are often called the "domain" of the function, and the output values are the "range". Functions can take many different forms, and they are used to describe a wide range of phenomena in mathematics, science, engineering, and other fields. Some common types of functions include linear functions, quadratic functions, exponential functions, logarithmic functions, and trigonometric functions.

To graph the function f(x) = 2x + 12 for x < -3 and x + 7 for x > 1, we can start by plotting the two parts separately.

For x < -3, the function is f(x) = 2x + 12. We can plot this line by choosing some values of x and calculating the corresponding values of f(x), and then connecting the points with a straight line. For example:

When x = -4, f(x) = 2(-4) + 12 = 4

When x = -3, f(x) = 2(-3) + 12 = 6

So, we can plot the line passing through the points (-4, 4) and (-3, 6):

         |

         |

         |            /

         |          /

         |        /

----------|---/-------

         |

         |

For x > 1, the function is f(x) = x + 7. We can plot this line in a similar way. For example:

When x = 2, f(x) = 2 + 7 = 9

When x = 3, f(x) = 3 + 7 = 10

So, we can plot the line passing through the points (2, 9) and (3, 10):

         |

         |

         |    

         |    

         |    

----------|---------

         |      \

         |        \

         |          \

To graph the entire function, we can combine the two parts by drawing a dashed line to show that there is a gap between the two sections. The resulting graph should look like:

         |

         |

         |            /

         |          /

         |        /

----------|---/-------

         |

         |

         |

         |

         |

----------|---------

         |      \

         |        \

         |          \

Note that the two lines intersect at x = 5, but this point is not included in the domain of either part of the function.

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The graph is drawn for the function given. In order to draw a graph we need to find the values of x and f(x) or y in the form of coordinates. Similarly we can draw it for piecewise-functions.

These kinds of functions are also called hybrid functions, which are broken as pieces. They do not have the continuous graph or values and can have different values or graphs for each interval.

Here the given function is:

f(x) =   2x + 12 , for x < -3

     =   x + 7 ,     for x > 1

Let’s find a few values of f(x) for the given values of x, to plot the graph.

For x=-3, f(x) = 2x+12

                    = 2(-3)+12   {on substituting value of x=-3}

                    = -6 +12

                    = 6

One of the starting coordinate for first piece of function is (-3,6)

For x= -4, f(x) = 2x+12 {as x must be less than -3}

                     = 2(-4)+12

                     = -8+12

                     = 4

Another coordinate for first piece of function is (-4,4)

Similarly for x=-5, f(x) = 2x+12

                                  = 2(-5)+12

                                  = -10+12

                                  = 2

Third coordinate for first piece of function is (-5,2)

Arrange these values in a table:

x -3 -4 -5

f(x) 6 4 2

Now, let’s find a few values for second piece of function as well:

For x=1, f(x) = x+7

                  = 1+7

                  = 8

Starting point of this piece of graph is (1,8)

For x=2, f(x) = x+7

                   = 2+7

                   = 9

Another coordinate for second piece of function is (2,9)

For x=3, f(x) = x+7

                   = 3+7

                   = 10

Third coordinate for second piece of function is (3,10)

Arrange these values in a table:

x 1 2 3

f(x) 8 9 10

Plot these two parts of the functions on a graph. The graph will be continuous as the values are not defined greater than 1 or less than -3. The open circles at (-3,6) and (1,8) indicate that the values are not included whereas the other dark points indicate that those points are included.

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Graph attached below,

Answer:

3/16

Step-by-step explanation:

(3/7)/4=3/16

Step-by-step explanation:

Percentage of students who want to be an athlete

= 12%.

400 students * (12%/100%) = 48 students.

Hence 48 students want to be an athlete.

The number of athletes students which are 12% of 400 students will be 48.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

The graph shows the career interests of the students at Linda’s school. Suppose there are 400 students at the school.

From the graph, the percentage of athletes is 12%.

The number of athletes students which are 12% of 400 students will be given as,

⇒ 12% x 400

⇒ 0.12 x 400

⇒ 48

The number of athletes students which are 12% of 400 students will be 48.

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Answer:

the height of the object is  and the height at 6 seconds is .

b. the height of the object increases and then decreases.

c. -16(t - 9) (t +4)

i really really really hope this helps

Answer:

John's Computer Software Store

A) Probability that a person who walks by the store will enter the store:

= 41%

B) The probability that a person who walks into the store will buy something:

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 55%

Step-by-step explanation:

a) Data and Calculations:

Number of people who walked by the store yesterday = 137

Number of those who came into the store = 56

Number of people who came into the store and bought something = 25

Number of people who came into the store and bought nothing = 31 (56 - 25)

A) Probability that a person who walks by the store will enter the store:

= 56/137

= 0.4087

= 0.41

= 41%

B) The probability that a person who walks into the store will buy something:

= 25/56

= 0.4464

= 0.45

= 45%

C) The probability that a person who walks by the store will come in and buy something:

= 56/137 * 25/56

= 0.41 * 0.45

= 0.1845

= 0.18

= 18%

D) The probability that a person who comes into the store will buy nothing:

= 31/56

= 0.5536

= 0.55

= 55%

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

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The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

The approximate slope of the graph of the linear function is 0.15.

To find the approximate slope of the graph of the linear function, we can choose two points from the table and calculate the slope using the formula:

slope = (change in y) / (change in x)

Let's select the points (50, 7.5) and (250, 37.5) from the table.

Change in y = 37.5 - 7.5 = 30

Change in x = 250 - 50 = 200

slope = (change in y) / (change in x) = 30 / 200 = 0.15

Note: A linear function is a mathematical function that represents a straight line.

It can be written in the form:

f(x) = mx + b

where m is the slope of the line and b is the y-intercept (the point where the line intersects the y-axis).

The slope (m) determines the steepness or slant of the line.

A positive slope indicates an upward-sloping line, while a negative slope indicates a downward-sloping line.

The slope represents the rate of change of the function.

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As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.

In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).

By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.

In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;

As x → -1⁻, f(x) → ∞.

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Answer:

Step-by-step explanation:

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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