A pizza shop can put together 4 pizzas in 12 minutes. What is their production rate in pizzas per hour?

Answer:

C

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

a pentagon has 5 sides , that is n = 5

sum = 180° × (5 - 2) = 180° × 3 = 540°

since the 5 angles are congruent then divide the sum by 5 , that is

∠ F = 540° ÷ 5 = 108°

Step-by-step explanation:

Formula of calculating total angles with n side (Polygon) : (n-2) . 180°

total pentagon angles :

= (5 - 2) . 180

= 3 . 180

= 540°

all of the angle is congruent, then :

m<F = 540/5

m<F = 108° (C)

Subject : Mathematics

Level : JHS

Chapter : Geometry

Answer:

The equation in the slope-intercept form will be:

Step-by-step explanation:

Given the points

The slope between two points

\(m=\frac{5-\left(-4\right)}{-2-8}\)

\(m=-\frac{9}{10}\)

As the point-slope form is

\(y-y_1=m\left(x-x_1\right)\)

substituting the values m = -9/10 and (8, -4)

\(y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)\)

Writing the line equation in the slope-intercept form

\(y=mx+b\)

where m is the slope and b is the y-intercept

so the equation in the slope-intercept form will be:

\(y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)\)

\(y+4=-\frac{9}{10}\left(x-8\right)\)

subtract 4 from both sides

\(y+4-4=-\frac{9}{10}\left(x-8\right)-4\)

\(y=-\frac{9}{10}x+\frac{16}{5}\)

Therefore, the equation in the slope-intercept form will be:

\(y=-\frac{9}{10}x+\frac{16}{5}\)

Full question attached

Answer attached

Answer and Step-by-step explanation:

We are asked to find the percentage of each asset or liability in total assets and liabilities. To find  percentage of each asset or liability in the balance sheet, we divide the asset or liability's value(from each year in the balance sheet)  by total assets and liabilities for that year and multiply by 100:

Answer:

s = 12 and p = 17

Step-by-step explanation:

→ Set up 2 simultaneous equations

p + s = 29

3s + 2p = 70

→ Rearrange the first equation for p as the subject

p = 29 - s

→ Substitute into 2nd equation

3s + 58 - 2s = 70

→ Solve

s = 12

→ Substitute into first equation

p + 12 = 29

→ Solve

p = 17

1 and 2 is 3 (2)

1 and 3 is 4 (3)

1 and 4 is 5 (4)

2 and 1 is 3 (5)

2 and 2 is 4 (6)

2 and 3 is 5 (7)

3 and 1 is 4 (8)

3 and 2 is 5 (9)

4 and 1 is 5 (10)

you have 36 different ways you can role and 10 of them are 5 or less so you have a 26/36 chance of rolling greater than 5

such pair of equation that have only one pair of solutions which satisfy both equation is linear equation

28 is the product of all three numbers .

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. In Algebra Basics, we learned how to use letters such as x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. The multiplied value before the variable is the coefficient.

3rd = x

2 nd = 7x

1 st = 4(x + 7x ) = 32x.

x + 7x + 32x = 20

x = 1/2.

we are looking for product = x*7x*32x = 1/2 * 7 * 1/2 * 32*1/2 = 1/2 * 1/2 * 1/2 * 32 * 7 = 28.

28 is the product of all three numbers

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Answer:

4/8

Step-by-step explanation:

a gaseous mixture at a concentration of 1 ppmv tends to be approximately equal to 1 mg/L if the mixture is dilute. However, the other options are not necessarily true. The statement does not indicate whether the mixture behaves as an ideal gas or whether the total pressure is 1 atm.

An gaseous mixture at a concentration of 1 ppmv tends to be approximately equal to 1 mg/L is a statement that is based on the assumption that the mixture is dilute. Therefore, the correct answer is option 4 - the mixture is dilute. For an ideal gas, the volume is inversely proportional to the pressure at constant temperature and the number of moles is directly proportional to the pressure.

Hence, statement 1, "the mixture behaves as an ideal gas" is incorrect. The relationship between the pressure of a gas and the concentration of that gas is given by Dalton's law of partial pressures. It states that the total pressure of a mixture of gases is equal to the sum of the partial pressures of the individual gases in the mixture. This means that the statement "the total pressure is 1 atm" (option 3) is not necessarily true.

Therefore, option 2, "none of the above" is incorrect.When a mixture of gases is dilute, it means that the concentration of each gas in the mixture is very low. This statement is based on the assumption that the mixture is dilute, therefore option 4, "the mixture is dilute" is the correct answer.

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The conversion result of decimal numbers to hexadecimal representations of 2's complement numbers are the following

a) 100

b) 6F

c)75BCD15

d)FFFFFF04

A decimal number can be represent the two parts one is whole and a fractional part separated by a decimal point. The decimal point is represented by dot inbetween the whole and fractional part. Hexadecimal is one of number system with base 16. That means 16 possible digits used to represent numbers. Steps to convert a decimal number to hexadecimal number :

Representations of 2's complement numbers :

a) decimal number = 256

using above rules, it's hexadecimal representations of 2's complement numbers is 100.

b) decimal number = 111

it's hexadecimal representations of 2's complement numbers is 6F.

c) decimal number = 123,456,789

it's hexadecimal representations of 2's complement numbers is 75BCD15.

d) decimal number = -44

it's hexadecimal representations of 2's complement numbers is FFFFFF04.

Hence, required values are obtained.

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Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.

To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.

The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.

Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.

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If you provide the desired standard error value, I can help you calculate the corresponding population standard deviation.

The standard error is a measure of the variability or uncertainty of a sample mean. It is calculated by dividing the population standard deviation by the square root of the sample size. Therefore, if we want the standard error to be smaller, the population standard deviation should be larger.

To determine how large the population standard deviation needs to be, we need to specify a desired standard error value. Without that information, it is not possible to provide a specific answer. The relationship between the population standard deviation and the standard error is inversely proportional, so as the population standard deviation increases, the standard error decreases.

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The expected value of XA is 0.35, and the variance of XA is 0.2275.

To find the expected value of XA, we simply multiply the probability of A occurring (0.35) by 1 (the indicator variable when A occurs) and add the product of the probability of A not occurring (1 - 0.35 = 0.65) and 0 (the indicator variable when A does not occur). So, E(XA) = 0.35 * 1 + 0.65 * 0 = 0.35.

To find the variance of XA, we need to calculate the probability of each outcome (0 or 1) and its squared difference from the expected value. The variance formula for an indicator variable is Var(XA) = P(A)(1 - P(A)). Therefore, Var(XA) = 0.35 * (1 - 0.35) = 0.35 * 0.65 = 0.2275.

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where x is the estimated value and xr the real value

the percent error is 10.71%

Answer:

1)  $26,250

2) $640

3) 9200

4) $212.50

5) $2300

6) $4320

Step-by-step explanation:

To increase a value:

convert the percent into decimal by dividing by 100.  Add this to 1.  Multiply this by the original value.

To decrease a value:

convert the percent into decimal by dividing by 100.  Subtract this from 1. Mulitply this by the original value

1) 25000 x 1.05 = $26,250

2) 800 x 0.8 = $640

3) 8000 x 1.15 = 9200

4) 250 x 0.85 = $212.50

5) 2000 x 1.15 = $2300

6) 7200 x 0.6 = $4320

The change in f is Δf = 0.771.

The estimate of the change in f is df = 0.5.

The approximation error is |Δf - df| = 0.271.

What is the change, estimate and approximation?

The change in f, we can simply substitute the values of x0 and dx into the expression for Δf:

= (x0 + dx)^3 - (x0 + dx) - (x0^3 - x0)

= (2.1)^3 - 2.1 - (2^3 - 2)

= 0.771

The value of the estimate df = f'(x0)dx, we first need to find the derivative of f with respect to x:

We can substitute x0 = 2 and dx = 0.1 into the expression for df:

= (3x0^2 - 1)dx

= (3(2)^2 - 1)(0.1)

= 0.5

The approximation error |Δf - df|, we simply subtract the estimate df from the actual change Δf and take the absolute value:

= 0.271

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The minimal approximation error A-A 2achievable by a rank-1 approximation A to A is

||A - A1||₂=0 where A is 2×2 matrix.

We have given a matrix A as seen in above figure or A = [ 5 15 ; 6 18 ; -1 -3 ; -4 -12 ; 2 6]

note here that C₂= 3C₁

where Cᵢ --> iᵗʰ column

v = [ 5 ; 6 ; -1 ; -4 ; 2]

||v||² = 82 => ||v|| = √82

and A At v = 820 v

and A At = [ 82 246 ; 246 738]

AAt [1;3] = 820[1;3]

=> v1 = 1/√10(1,3)^t

Then the best rank of 1 approx

= √820 /√80√10 [ 5 ; 6 ; -1 ; -4 ; 2] [ 1 3]

= A

Since , the rank of matrix A is one so, the minimal approx. value is ||A - A1||2 = 0

Hence, the minimal Approx. ||A - A1||2 = 0 .

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Complete question:

Consider the matrix A: A = [5 15] 6 18 -1 -3 -4 -12 [26] What is the minimal approximation error A-A 2 achievable by a rank-1 approximation A to A? Hint: Can you determine this without explicitly calculating the SVD?

Answer:

x = 9

Step-by-step explanation:

6x = 54​

Simple way of solving, all you have to do is isolate the variable "x." To do that, divide the number, 6, by both sides.

6x / 6 = 54 / 6

54 / 6 = 9

Hence,

x = 9

Hope this helps :)

Answer:

x= 9

6x= 54

\( \frac{6x}{6} = \frac{54}{6} \)

x = 9

hope it's helpful ❤❤❤

THANK YOU.

The standard deviation of the number of patients who are successfully treated is approximately 2.53.

To find the standard deviation of the number of patients who are successfully treated, we need to use the formula for the standard deviation of a binomial distribution:

σ = √(np(1-p))

where σ is the standard deviation, n is the number of trials, p is the probability of success on a single trial.

In this case, n = 40 (the number of patients) and p = 0.80 (the probability of success). So we can plug these values into the formula:

σ = √(40 x 0.80 x (1 - 0.80))
  = √(40 x 0.80 x 0.20)
  = √(6.4)
  = 2.53

Therefore, the standard deviation of the number of patients who are successfully treated is 2.53.

To find the standard deviation of the number of patients who are successfully treated, we need to use the binomial distribution formula, where n is the number of trials (patients), and p is the probability of success (successful treatment).

In this case, n = 40 and p = 0.80. The formula for the standard deviation (σ) of a binomial distribution is:

σ = √(n × p × (1 - p))

Plugging in the values, we get:

σ = √(40 × 0.80 × (1 - 0.80))
σ = √(40 × 0.80 × 0.20)
σ = √(6.4)

Therefore, the standard deviation of the number of patients who are successfully treated is approximately 2.53.

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The area of the rectangle is 24 square units.

To find the area of the rectangle, we first need to find the length and width. Let's assume the length of the rectangle is x. According to the given information, the width is 5 greater than the length, so the width would be x + 5.
The formula for the perimeter of a rectangle is 2(length + width). In this case, the perimeter is given as 22, so we can set up the equation:
2(x + x + 5) = 22
Simplifying the equation, we get:
2(2x + 5) = 22
4x + 10 = 22
4x = 12
x = 3
Now that we know the length is 3, we can find the width:
Width = 3 + 5 = 8
To find the area of the rectangle, we multiply the length and width:
Area = length * width
Area = 3 * 8
Area = 24
Therefore, the area of the rectangle is 24 square units.

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Answer:

r = -1

Step-by-step explanation:

-3(1+6r)=14-r

Distribute the -3

-3*1 -3*6r = 14-r

-3 -18r = 14 -r

Add 18r to each side

-3-18r+18r = 14-r+18r

-3 = 14+17r

Subtract 14 from each side

-3-14 = 14+17t-14

-17 = 17r

Divide by 17

-17/17 = -17r/-17

-1 =r

Answer:

B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

Answer:

The answer is 156 Hope it helps!

Step-by-step explanation:

Answer:

\(y = 7x - 3.5\)

Answer:

3 miles

Step-by-step explanation: cause i did this

To convert 72 feet per day to a different unit, we can use unit conversion factors:

1 day = 24 hours

1 hour = 60 minutes

1 foot = 12 inches

So, we can set up the following calculation:

72 feet/day × (1 day/24 hours) × (1 hour/60 minutes) × (12 inches/1 foot) = 0.1 inches/minute

Therefore, the converted rate is in units of inches per minute.

Answer: (4) inches/minute