A fast food chain sells 4,500 hamburgers per hour worldwide. How many hamburgers does the fast food chain sell worldwide in 1 minute?

For each variable, the possible values are:

a) T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b) X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

c) U = {0, 1, 2, 3, 4, 5, 6}

d) Z = {0, 1, 2}

Item a:

In total, there are 10 pumps, hence the possible values are all integers from 0 to 10, that is:

T = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

Item b:

In the first, there are 6 pumps, and in the second 4, hence, the difference ranges from -4 to 6, that is:

X = {-4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}

Item c:

The maximum number in a station is 6 pumps, hence this variable ranges from 0 to 6.

U = {0, 1, 2, 3, 4, 5, 6}

Item d:

Either none of the stations has exactly two pumps in use, or one has or both, hence the variable ranges from 0 to 2.

Z = {0, 1, 2}

The question is incomplete. The complete question is:

"The number of pumps in use at both a six-pump station and a four-pump station will be determined. Give the possible values for each of the following random variables. (Enter your answers in set notation.)

a. T = the total number of pumps in use

b. X = the difference between the numbers in use at stations 1 and 2.

c. U = the maximum number of pumps in use at either station

d. Z = the number of stations having exactly two pumps in use"

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The statement about probability that is correct would be that the probability of landing on yellow is less than the probability of landing on blue. That is option B.

Probability is defined as the total number of possible outcome of an event.

The repeated colour which are numbered from 1 to 8 are as follows:

Therefore, the probability of landing on yellow is less than the probability of landing on blue because 1/4 is less than 3/8.

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Answer: B: The probability of landing on yellow is less than the probability of landing on blue.

Step-by-step explanation:

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

Factorisation is defined as the breaking or decomposition of an entity. Given the quadratic equation below;

y=x² - 4x - 5

Factorize

y = x^2 - 5x + x - 5

y = x(x - 5) + 1(x - 5)

y = (x+1)(x-5)

From the given expression, the factors are x+1 and x - 5 and the zeros of the function is equivalent to -1 and 5

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Answer:

in x axis and y axis

Step-by-step explanation:

plz make me brainliest

Answer:

Step-by-step explanation:

It will go through the origin(0,0)

The binary representation of each of these hexadecimal numbers is given as follows:

a) 80E = 100000001110

b) 135AB = 00010011010110101011

c) ABBA = 1010101110111010

d) DEFACED = 1101111011111010110011101101

To convert a number from hexadecimal to binary, each hexadecimal character is converted to it's respective four bit binary code, given as follows:

Then, for example:

80E hexadecimal = 100000001110.

As:

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Answer: Median

Step-by-step explanation:

some sport superstars are paid extremely huge salaries, but this is not always the case for all spott stars. Since the mean is largerly influenced by the large salaries the data becomes unrelaible When estimating the center but reliable when it comes down to representing the center. With this reason is why the median would be considered.

Answer:

The letter "x" is often used in algebra to mean an unknown value. It is often called a "variable".

Example:

In x + 5 = 12, x is a variable, but we can work out its value if we try!

Answer:

A. f(x)=5cos(x+pi/4)

F. f(x)=5sin(x+3pi/4)

Step-by-step explanation:

Answer: 1. A, F

2. B. C , F

3.A,C

Step-by-step explanation:I just finished the practice

Answer:

C

Step-by-step explanation:

We want to simplify the expression:

\(\displaystyle 3 \sqrt{-28}\)

Rewrite:

\(\displaystyle = 3 \sqrt{ 4\cdot 7 \cdot -1}\)

Rewrite:

\(\displaystyle = 3 \cdot \sqrt{4} \cdot \sqrt{7} \cdot \sqrt{-1}\)

Simplify. Let i = √(-1). Hence:

\(\displaystyle = 3 \cdot \left(2\right) \cdot \left(i\right) \cdot \sqrt{7}\)

Multiply:

\(\displaystyle = 6i\sqrt{7}\)

In conclusion, our answer is C.

Answer:

1, 6, 15, 20, 15, 6, 1

Explanation:

Given the expression

(x+y)^6

To determine the coefficient of the expansion, we will use the pascal triangle as shown:

For degree 0, coefficeint is 1

For degree 1, coefficeint is 1, 1

For degree 2, coefficeints are 1, 2, 1

For degree 3, coefficeints are 1, 3, 3, 1

For degree 4, coefficeints are 1, 4, 6, 4, 1

For degree 5, coefficeints are 1, 5, 10, 10, 5, 1

For degree 6, coefficeints are 1, 6, 15, 20,15, 6, 1

Hence the coefficients in the expansion are 1, 6, 15, 20,15, 6, 1

Answer:

38 pods

Step-by-step explanation:

To find about what this is, divide 228 by 6.

What is the nearest multiple of 60 to 228 without going over?

228 - 180 = 48

What it the nearest multiple of 6 to 48 without going over?

48 - 48 = 0

180 = 6 * 30

48 = 6 * 8

30 + 8 = 38 pods

9514 1404 393

Answer:

  a) parallel

  b) not parallel

Step-by-step explanation:

a) Alternate interior angles are congruent where a transversal crosses parallel lines. The marked alternate interior angles are congruent, so the lines are parallel.

__

b) Corresponding angles are congruent where a transversal crosses parallel lines. The marked corresponding angles are not congruent, so the lines are not parallel.

Answer:

a) parallel

b) not parallel

Step-by-step explanation:

a) Alternate interior angles are congruent where a transversal crosses parallel lines. The marked alternate interior angles are congruent, so the lines are parallel.

b) Corresponding angles are congruent where a transversal crosses parallel lines. The marked corresponding angles are not congruent, so the lines are not parallel.

Answer:

B

Step-by-step explanation:

Y=mx=b

m= slope

b= y- intercept

x&y are variables

Answer:

B.......

Step-by-step explanation:

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this sol this answer

The aprent function is:

and the new function is:

This is related as follows:

The new function is relfected about the x axis, then it is translated 5 units to the left and 2 units up.

This is shown in the following graph:

where the red graph is f(x) and the blue one is j(x).

Now, the vertex of the original function is the origin; whereas for the second function is in the point (-5,2).

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

a. The distribution of X is X ~ N(68, 14).

b. The corresponding area to the right of 0.9286, which is approximately 0.1772.

c. The longest amount of time a patron can spend and still receive the discount is approximately 48.5654 minutes.

d. The Inter Quartile Range (IQR) for time spent at the hot springs is approximately 21.373 minutes.

a. The distribution of X is X ~ N(68, 14), where X represents the amount of time a person spends at Grover Hot Springs, 68 is the mean, and 14 is the standard deviation.

b. To find the probability that a randomly selected person stays longer than 81 minutes, we need to calculate the area under the normal curve to the right of 81.

Using the z-score formula: z = (x - μ) / σ, where x is the value (81), μ is the mean (68), and σ is the standard deviation (14).

Plugging in the values, we have z = (81 - 68) / 14 = 0.9286.

Using a standard normal distribution table or a calculator, we can find the corresponding area to the right of 0.9286, which is approximately 0.1772.

c. To find the longest amount of time a patron can spend at the hot springs and still receive the discount, we need to find the value that corresponds to the lowest 8% of the distribution.

Using a standard normal distribution table or a calculator, we can find the z-score that corresponds to the 8th percentile, which is approximately -1.4051.

Using the z-score formula, we can calculate the longest amount of time: x = μ + z \(\times\) σ = 68 + (-1.4051) \(\times\) 14 = 48.5654 minutes.

Therefore, the longest amount of time a patron can spend and still receive the discount is approximately 48.5654 minutes.

d. The Inter Quartile Range (IQR) is a measure of the spread of the data and represents the range between the first quartile (Q1) and the third quartile (Q3).

To find Q1 and Q3, we can use the z-score formula and the standard normal distribution table.

For Q1, we find the z-score corresponding to the 25th percentile, which is approximately -0.6745.

Using the formula Q1 = μ + z \(\times\) σ, we have Q1 = 68 + (-0.6745) \(\times\) 14 = 57.053.

Therefore, Q1 is approximately 57.053 minutes.

For Q3, we find the z-score corresponding to the 75th percentile, which is approximately 0.6745.

Using the formula Q3 = μ + z \(\times\) σ, we have Q3 = 68 + (0.6745) \(\times\) 14 = 78.426.

Therefore, Q3 is approximately 78.426 minutes.

Finally, we can calculate the IQR by subtracting Q1 from Q3: IQR = Q3 - Q1 = 78.426 - 57.053 = 21.373 minutes.

Therefore, the Inter Quartile Range (IQR) for time spent at the hot springs is approximately 21.373 minutes.

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the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.the answer is 0.05 < p < 0.1.

To find the p-value for a chi-square test for homogeneity, we need to use the chi-square distribution table with the appropriate degrees of freedom and compare the computed chi-square statistic to the critical value at the desired level of significance.

The degrees of freedom for a chi-square test for homogeneity is given by the formula df = (r - 1) * (c - 1), where r is the number of rows and c is the number of columns in the contingency table. In this case, we have three populations and one categorical variable with three values, so the contingency table has 3 rows and 3 columns. Therefore, the degrees of freedom is df = (3 - 1) * (3 - 1) = 4.

Using the chi-square distribution table with 4 degrees of freedom and looking up the value of chi-square at 2.05, we can see that the corresponding p-value is between 0.1 and 0.05. Specifically, the p-value is between 0.05 and 0.1, which means we can conclude that there is weak evidence against the null hypothesis at the 5% level of significance.

Therefore, the answer is 0.05 < p < 0.1.

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Answer: x<4

Step-by-step explanation:

If we break this down as

-2+4x<14 and we add 2 to both sides

4x+<16 and divide by 4

and you get x<4

Question 20

The quadrilateral is a rhombus because there are four congruent sides. The quadrilateral cannot be more specifically classified as a square because one of the interior angles is not a right angle.

Question 21

The quadrilateral is a parallelogram because the diagonals bisect each other.

Question 22

The quadrilateral is a square because it is a rhombus (four congruent sides) with a right angle.

Answer:

9. By every 10 seconds, the meters traveled increase by a constant of 8.5 meters.

10. (1,2), (2,4), (5,10), (8,16)

Step-by-step explanation:

For question 9, here is an example. You can find the constant of proportionality by dividing 85 by 10, which is 8.5. So every 10 seconds, the distance traveled in meters by the object will have multiplied by 8.5. You can also do 170 divided by 20, which is also 8.5 thus verifying our answer. Hope this helps you, sorry I couldn’t explain it better.

The z-score for the raw score of 39 is 1.The z-score for the raw score of 30 is -0.8.Z-scores measure the number of standard deviations a raw score is from the mean. A positive z-score indicates a raw score above the mean, while a negative z-score indicates a raw score below the mean.

To find the z-scores, we need to use the formula:

z = (x - μ) / σ

where:

z is the z-score,x is the raw score,μ is the mean, andσ is the standard deviation.

Let's calculate the z-scores for the given mean of 34 and standard deviation of 5.For a raw score of 39:

z = (39 - 34) / 5

z = 5 / 5

z = 1

So, the z-score for the raw score of 39 is 1.For a raw score of 30:

z = (30 - 34) / 5

z = -4 / 5

z = -0.8

The z-score for the raw score of 30 is -0.8.

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Luas alas balok = 49 cm²

Tinggi kotak = 15 cm

Volume kotak mainan = Luas alas balok × Tinggi kotak

Volume kotak mainan = 49 cm² × 15 cm

Volume kotak mainan = 735 cm³

Jadi, volume kotak mainan tersebut adalah 735 cm³.

Answer:

D. There is more variation in height at 24 months. The box length is​ longer, indicating a larger interquartile range and greater spread in the data

Step-by-step explanation:

One easy way we can easily tell about the spread and variation data sets is by considering the length of the box in the box plot.

The length of a box plot represents the interquartile range of a data set. The longer the box length, the more the variation and spread there is in the data.

Therefore, considering the diagram of the box plots attached below, the box length for length of boys at 24months is longer than that of the box length of heights of boys at 12 months.

The longer box lengths for heights of boys at 24 months indicates a larger interquartile range compared to that of heights of boys at 12 months. This larger interquartile range implies that, there is more variation in heights at 24 months.

Therefore, the correct option is "D. There is more variation in height at 24 months. The box length is​ longer, indicating a larger interquartile range and greater spread in the data."

Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer: Let's assume that Car B travels at a speed of x miles per hour. The expression that represents how many miles farther Car B travels in two hours compared to Car A is:

(x - 55) * 2

This expression calculates the difference in speed between Car B and Car A (x - 55) and then multiplies it by the number of hours (2) to get the total distance Car B travels farther than Car A in two hours.

Step-by-step explanation: