The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for x slices of pizza?

a. The probability that the system will operate as shown is approximately 0.6141.

b. Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

a. To find the probability that the system will operate as shown, we multiply the probabilities of each component. Since the system is shown to have three components with a probability of 0.85 each, we can calculate:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141

The probability that the system will operate as shown is approximately 0.6141.

b. In this case, each system component has a backup with a probability of 0.85 and a switch that is 100% reliable. Since the backup has a probability of 0.85, and the switch is 100% reliable (probability = 1), we can calculate the probability as:

Probability = 0.85 × 0.85 × 0.85

Probability ≈ 0.6141The probability remains the same as in the previous case, which is approximately 0.6141.

c. In this scenario, each system component has a backup with a probability of 0.85, but the switch is 90% reliable (probability = 0.90). We can calculate the probability as:

Probability = 0.85 × 0.90 × 0.85

Probability ≈ 0.6485

The probability that the system will operate with each component having a backup with a probability of 0.85 and a switch that is 90% reliable is approximately 0.6485.

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Answer:

X = 42

Step-by-step explanation:

What divided by 7 equals 6..... 42! to prove we are right let us plug it into our equation.

42 / 7 = 6

DING DING DING Correct !

Answer:

X = 42

Step-by-step explanation:

Think of this problem as a division problem.

? ÷ 7 = 6

So solve this multiply 7 by 6.

This would leave you with 42.

Therefore 42/7 = 6

Easy Peasy :) Hope this helped! <3

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

clever

Step-by-step explanation:

The correct answer is D. The standard deviation of the Student t distribution is not equal to 1.

In the Student t distribution, the mean is not necessarily equal to 0 (option A is incorrect). The shape of the Student t distribution is similar to the standard normal distribution but accounts for greater variability in small samples (option B is correct). The Student t distribution varies depending on the sample size (option C is correct).

However, the standard deviation of the Student t distribution is not fixed at 1. The standard deviation of the Student t distribution depends on the degrees of freedom parameter, which is determined by the sample size. As the sample size increases, the Student t distribution approaches the standard normal distribution with a standard deviation of 1.

Therefore, the correct answer is D. The standard deviation of the Student t distribution is not equal to 1.

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Answer:

18

Step-by-step explanation:

Explanation is in photo

Given:

Quantity=3722 ; Total quantity=25746

Let the percentage be 'x'

14.5% of 25746 is 3722.

In the point (r, θ), r signifies the distance from O to P, while θ represents the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

For the point (r, θ), r is the distance from O to P, and θ is the angle counterclockwise from the polar axis to the line segment ¯¯¯¯¯¯¯¯OP.

In polar coordinates, a point is represented by its distance (r) from the origin (O) and the angle (θ) it forms with the positive x-axis. The distance (r) denotes the length of the line segment connecting the origin to the point P. It indicates how far the point is from the origin. The angle (θ) represents the rotation or angular position of the line segment ¯¯¯¯¯¯¯¯OP from the polar axis (positive x-axis) in a counterclockwise direction. It determines the direction in which the point is located relative to the polar axis.

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Answer:

1.85 meters or 185 centimeters

Step-by-step explanation:

1.9 meters = 190 centimeters

190cm - 5cm = 185cm

185cm = 1.85 meters

Answer:

The linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store is:

Step-by-step explanation:

Mark has already earned some amount x. Lets find it using the number of hours worked and the total amount after this:

This amount represents an initial value or the y-intercept of the line and the payment per hour represents the slope of same line.

We know the equation of line in slope-intercept form:

Plug in the values and variables to get the linear equation for the earned amount:

Mark's m earned this summer after working h hours at the grocery store is represented by the linear equation: m = 9.5h + 140.

Given

Earning per hour = $9.50,

Worked hours = 16,

Total earning = $292,

Mark has earned some amount initially for mowing lawns.

Linear equation of amount of money m after working h hours

Mark has already earned some amount x.

Lets find it using the number of hours worked and the total amount after this:

16 × 9.50 + x = 292

Simplifying the above equation then we get,

152 + x = 292

x = 292 - 152

x = 140

This amount represents the line's initial value or y-intercept, and the payment per hour represents the slope of the same line.

The slope-intercept equation of a line is as follows:

y = mx + b, where y is the line, m is the slope, and b is the y-intercept

To obtain the linear equation for the earned amount, enter the values and variables as follows:

∴ m = 9.5h + 140

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Answer:

Step-by-step explanation:

14 bc 15

The set A ∩ B = {3}

The intersection of sets, denoted as A ∩ B, refers to the set that contains elements that are common to both sets A and B. In this case, set A consists of the elements {1, 2, 3, 6}, and set B consists of the elements {3, 4, 5}.

The intersection of A and B, written as A ∩ B, represents the set of elements that appear in both sets simultaneously.

To find the intersection of sets A and B, we examine each element of set A and check if it is also present in set B. In this case, the element 3 is the only element that exists in both sets.

Therefore, the intersection of sets A and B is {3}.

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Answer:

\( \huge{ \boxed{ \sf{17.68 \: {cm}^{2} }}}\)

Step-by-step explanation:

\( \underline{ \text{Given}} : \)

\( \longrightarrow \sf{ \: Length \: of \: a \: rectangle \: = \: 5.2 \: cm}\)

\( \longrightarrow{ \sf{Breadth \: of \: \: rectangle \: = \: 3.4 \: cm}}\)

\( \underline{ \text{To \: find} } : \sf{Area \: of \: a \: rectangle}\)

\( \boxed{ \sf{Area \: of \: a \: rectangle \: = \: Length \: \times \: Breadth}}\)

\( \mapsto{ \sf{Area \: = \: 5.2 \: cm \: \times \: 3.4 \: cm}}\)

\( \mapsto{ \sf{Area \: = \: 17.68 \: {cm}^{2} }}\)

Hope I helped!

Best regards! :D

~\( \text{TheAnimeGirl}\)

Answer:

y-intercept formula: b=mx-y

X-intercept formula: b=Mx+y

Step-by-step explanation:

m=slope

Answer:

377

Step-by-step explanation:

5 / 32 = 59 / x

x = 377.6

Answer:

y = 6x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = )- 2, - 5) and (x₂, y₂ ) = (- 1, 1)

m = \(\frac{1+5}{-1+2}\) = 6 , thus

y = 6x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 1 ) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = 6x + 7 ← equation of line

a) To find the total number of schools, we can add up all the different types of schools mentioned in the question:

Total number of schools = 16  + 60 + 36 + 10+ 20 + 50

                                         = 192

Therefore, there are 192 schools in total.

b) From the information given in the question, we know that there are 20 large non-mixed state schools, but we don't have information about large private mixed schools. So there are only 20 in total.

c) We know that there are 20 large non-mixed state schools and 50 small non-mixed state schools.

Number of small mixed state schools = Total number of state schools - (large non-mixed state schools + small non-mixed state schools)

Number of small mixed state schools = 192 - (20 + 50)

                                                              = 122.

Therefore, there are 122 small mixed-state schools in total.

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Your question is in Spanish. The English translation of your question is:

In the province of García Robira in the department of Santander, there are 16 small, private, and mixed. Of a total of 200 mixed schools in the area, 60 are classified as private and 36 as little ones Of 150 private ones, 10 are small but not mixed. There are 20 large and non-mixed states and 50 small non-mixed ones.

a. How many schools are there in total?

b. How many private and mixed schools are large?

c. How many small mixed schools are state?

Answer: 9z

Step-by-step explanation:

(NOTE: I've already solved this in the comments, but I am going to put an answer here for anyone else who stumbles across this question.)

To solve this problem, rewrite the first term into the form k * z^n:

> 3 * z^(1/4)

Now, you have 3z^(1/4) * 3z^(3/4). Now, we can use a power rule (a^x * a^y = a^(x+y)) to solve the problem. Your final answer should be:

> 9 * z^1, or 9z.

Step-by-step explanation:

Subtract 15 from both sides:

\(10x = 25 + 4x\)

Subtract 4x from both sides:

\(6x = 25\)

Divide each side by 6:

\(x = 4 \frac{1}{6} \)

Answer:

y = 11/2x + 29

Step-by-step explanation:

the slope goes up 11 and over 2 and the line crosses the y-axis at 29 so thats the y-intercept

We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.

Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values ​​that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values ​​of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).

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The 95% of regular grade gasoline sells for between $3.23 & $3.63 and per gallon (to decimal) and 85% of regular grade gasoline sells for between $3.23 & $3.53 and per gallon (to decimal) and 16% percentage of regular grade gasoline sells for less than $3.53 per gallon (to decimal).

Suppose that mean retail price per gallon of regular grade gasoline 3.43.

empirical rule explains that  approximately 68%,95% and 99.7% of data lies between (µ ± 1*σ) ,(µ ± 2*σ) and (µ ± 3*σ) respectively.

⇒If some data {x} are normally distributed, the corresponding {z} will be normal with mean 0 and standard deviation 1 where the correspondence between the {x} and {z} is given by

Such z's are called z-scores.

(µ ± 1*σ)=68%

(µ ± 2*σ)=95%

(µ ± 3*σ)=99.7%

a)

P(3.23<x<3.63) =\(P[ \frac{(x1- \mu)}{\sigma} < z < \frac{(x2- \mu)}{\sigma}} ]\)

=P[( \(\frac{3.23-3.43}{0.10}\) < z < \(\frac{3.63-3.43}{0.10}\) ]

=P[-2 < z < 2 ]

=0.95

=95.0 %

b)

P(3.23<x<3.53) =\(P[ \frac{(x1- \mu)}{\sigma} < z < \frac{(x2- \mu)}{\sigma}} ]\)

=P[( \(\frac{3.23-3.43}{0.10}\) < z < (\(\frac{3.53-3.43}{0.10}\) ]

=P[-2 < z < 1 ]

=0.815

=81.5 %

c)

P(x>3.53) =\(P[ z > \frac{x-\mu}{\sigma} ]\)

=P[ z > \(\frac{3.53-3.43}{0.10}\) ]

=P[ z > 1 ]

=0.16

=16.0 %.

Therefore, 95% of regular grade gasoline sells for between $3.23 & $3.63 and per gallon (to decimal) and 85% of regular grade gasoline sells for between $3.23 & $3.53 and per gallon (to decimal) and 16% percentage of regular grade gasoline sells for less than $3.53 per gallon (to decimal).

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Answer:

around 8-9 hours

Step-by-step explanation:

if i got it wrong plz dont  get mad at me (-_-')>    

The equation of the line is perpendicular to the line y = -4x  - 3 and passes through the point (10, 6) is y = 1 / 4 x + 7 / 2.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

where

Therefore, the equation of the line is perpendicular to the line y = -4x  - 3 and passes through the point (10, 6).

Perpendicular lines follows the rule:

m₁ m₂ = -1

-4m₂ = -1

m₂ = 1 / 4

Let's find the y-intercept of the equation using (10, 6)

y = 1 / 4 x + b

6 = 1 / 4 (10) + b

6 = 5 / 2 + b

b = 6 - 5 / 2

b =  12 - 5/ 2

b = 7 / 2

Therefore, the equation of the line is y = 1 / 4 x + 7 / 2

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Consequently, C = 17.2° as by the result of the Rule of Cosines , rounded to the nearest tenth.

A geometric figure known as an angle is created by two lines that share an endpoint and are referred to as the angle's sides and vertex, respectively. The quantity of rotation required to align one side with the other side around the vertex is the angle's unit of measurement. Typically, angles are expressed as degrees or radians, where a complete rotation equals 360 degrees or 2 radians. Angles are frequently used to define the position and orientation of lines and shapes in geometry, trigonometry, and other branches of mathematics.

given

As a result of the Rule of Cosines, we have:

A2 Plus B2 - 2ab cos = c2 (C)

Adding the specified values:

c² = 26² + 29² - 2(26)(29) cos(50°)

c² = 676 + 841 - 1508 cos(50°)

c² = 1517 - 1508 cos(50°)

c ≈ √(1517 - 1508 cos(50°))

c ≈ 17.2° (rounded to the closest tenth)

Consequently, C = 17.2° as by the result of the Rule of Cosines , rounded to the nearest tenth.

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Answer:

C= 23.22

This is the answer this question.

19

because 12q=28 is 12+16=28 so 3q=19 because 3+16=19 :D

Hi there!

12q=28

Divide both sides by 12 to isolate q:

q=2.33

Now multiply 2.33 by 3:

3q=2.33*3

3q=6.99

Hope it helps!

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B because B is the answer