Eqiuvelent Ratio for 23:37

The first hour there will be 18 costumers that will order Turkey sandwiches

Probability

First, we want to find the probability of having a costumer who choose Turkey sandwich.

In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.

Turkey sandwiches: 180

Total number of orders: 160 + 100 + 180 + 60 = 500

Ratio = turkey / total

Ratio = 180 / 500 = 0.36

Then, the probability of having a costumer who choose Turkey sanwich is

P(T) = 0.36 = 36%

Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:

Hence , the first hour there will be 18 costumers that will order Turkey sandwiches

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Answer:

The function 'f' in terms of 'g'

 \(g = \frac{3}{5}-\frac{f}{10}\)

Step-by-step explanation:

Explanation:-

Given function   f = 2 (3-5g)

                         f = 6 - 10 g

                       10g = 6 - f

                     ⇒ \(g = \frac{6-f}{10}\)

                   \(g = \frac{6}{10}-\frac{f}{10}\)

                  \(g = \frac{3}{5}-\frac{f}{10}\)

Answer:

Option D

Step-by-step explanation:

\(6\dfrac{3}{5}*\dfrac{5}{8}=\dfrac{5}{8}*6\dfrac{3}{5}\)

Poperty : Commutative property of multiplication.

When two numberes are multiplied, changing the order of numbers  will not change the result.

Answer:

0,70 s

Step-by-step explanation:

We have to solve the associated equation:

-16t^2 + 48t + 64 = 90

1) divide each member by 2

-8t^2 + 24t + 32 = 45

2) add at both member -45

-8t^2 + 24t + 32 -45 = 45-45

-8t^2 + 24t - 13 = 0

3). multiply the two members by -1

8t^2 - 24t + 13 = 0

4) find Δ/4 with the reduce formula

Δ/4 = 144 -104 = 40

5) find the approximate  solutions with the reduce formula

t1 = (12 + 6,42)/8 = 2,29 s

t2 = (12 - 6,42)/8  = 0,70 s

we have to take the smallest value because the biggest describe when the rocket will reach 90 feet when it is descending

Answer:

She will burn 200 calories

Step-by-step explanation:

10(number of calories)x20(minutes)=200

Answer:

amelia is running for 20 minutes. so

10 calories per minute

x

20 minutes of running

=

200 calories burned.

10 x 20 = 200

Answer:

2x-4=12

2x=12+4

2x=16

x=16/2

x=8

Answer: x = 8

Step-by-step explanation:

2x - 4 + 4 = 12 + 4

2x = 16

\(\frac{2x}{2}\) = \(\frac{16}{2}\)

4x-4=20

or, 4x=20+4

or,4x=24

or,x=20/4

tgerefore,x=5

Answer:

honesty i don't know fam

a. The missing value in the table 0.03

b. The mean is 4.18

c. The variance is 3.23 and standard deviation is 1.80

d.  The larger the standard deviation, the greater the spread of the probability distribution.

A random variable is a variable that can take on different values depending on the outcome of a random event. In this case, the random variable X represents the number of calls per hour to a call center in the last month.

a. The missing value in the table is the number of calls per hour for the probability 0.03. From the table, we see that the number of calls per hour is 7.

b. The mean, also known as the expected value, is a measure of the center of the probability distribution. It is calculated by taking the sum of the product of each possible value of X and its corresponding probability. In mathematical terms, the mean of X is given by:

E(X) = 1 * P(1) + 2 * P(2) + 4 * P(4) + 5 * P(5) + 6 * P(6) + 7 * P(7)

E(X) = 0.01 + 0.2 + 1.04 + 1.65 + 1.08 + 0.21 = 4.18

So, the mean number of calls per hour to the call center in the last month is 4.18.

c. The variance of X is a measure of the spread of the probability distribution. It is calculated by taking the sum of the squared differences between each possible value of X and the mean, multiplied by the corresponding probability. In mathematical terms, the variance of X is given by:

Var(X) = (1 - 4.18)² * P(1) + (2 - 4.18)² * P(2) + (4 - 4.18)² * P(4) + (5 - 4.18)² * P(5) + (6 - 4.18)² * P(6) + (7 - 4.18)² * P(7)

Var(X) = 3.23

The standard deviation is the square root of the variance, and it is also a measure of the spread of the probability distribution. In mathematical terms, the standard deviation of X is given by:

=> SD(X) = √(Var(X)) = √(3.23) = 1.80

d. Interpretation:

The mean of 4.18 calls per hour represents the average number of calls to the call center in the last month.

The standard deviation of 1.80 indicates that the number of calls per hour deviates from the mean by approximately 1.80 calls on average.

This means that about 68% of the time, the number of calls per hour will be between 2.38 (4.18 - 1.80) and 6.08 (4.18 + 1.80).

Complete Question:

The random variable X represents the number of calls per hour to a call center in the last month. The probability distribution for X is below.

x 1 2 4 5 6 7

P(x) 0.01 0.10 0.26 0.33 0.18 0.06 0.03

a. What is the missing value in the table?

b. Find the mean.

c. Find the variance and standard deviation.

d. Interpret your results.

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Answer:

(- ∞ , 2 )

Step-by-step explanation:

{ x | x < 2 } is expressed in interval notation as

(- ∞, 2 )

Answer:

I think its C

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

48/8 = 6. 6*6 = 36.

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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In order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.42. The sample size would be 85

Information form the question

the mean income is $28

the standard deviation is known to be $5.5

the mean per capita income at the 90% level of confidence

an error of at most $0.42

This is given as from margin of error:

This is the term refers to the minimum error that is to be allowed

Margin of error, E = Zc * √(SD²/n)

n = sample size

n = SD x (Zc/E)²

SD = standard deviation

Zc = would be the critical value at 90 percent level of confidence = 1.65

plugging in the values

n = 5.5 x (1.65/0.42)²

n = 0.25 x 15.4337

n = 84.8854

n = 85

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to solve for m

distribute into parentheses

176 = -16 - 24m

get m on one side

176 + 16 = -24m

192 = -24m

divide by -24

-8 = m

m = -8

Answer:

The side lengths are:

15, 30, and 30

Step-by-step explanation:

Let x determine the length of the smallest side length then

the other one is said to be 15 in larger so it's x + 15

finally the third size is said to be twice as the smallest one so it's 2x

The perimeter is the sum of all three sides added up

x + 2x + x + 15 = 75 add like terms

4x + 15 = 75 subtract 15 from both sides

4x = 60 divide both sides by 4

x = 15

Answer:

To find 40% of a number, you can multiply the number by 0.4 or divide it by 2.5.

Using this method, we get:

40% of 100 is 40 (100 x 0.4 or 100 ÷ 2.5)

40% of 110 is 44 (110 x 0.4 or 110 ÷ 2.5)

40% of 140 is 56 (140 x 0.4 or 140 ÷ 2.5)

40% of 120 is 48 (120 x 0.4 or 120 ÷ 2.5)

Therefore, 40% of 100 is 40, 40% of 110 is 44, 40% of 140 is 56, and 40% of 120 is 48.

Answer:

The answer is 3 centimeters

Step-by-step explanation:

The required surface area of one face of the cube is 9 cm².

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Cassie has a small cube-shaped box. Its volume is 27 cubic centimeters.
The volume of the cube = a³
27 = a³
a = 3

The surface area of one face of the cube = a²
                                                  = 3²
                                                  = 9 cm²

Thus, the required surface area of one face of the cube is 9 cm².

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Resolviendo un sistema de ecuaciones veremos que polo hizo 170 polos.

Sabemos que por cada 12 polos que confecciona Ana, Beto hace 7.

Por cada 28 polos que confecciona Beto, Carla confecciona 15.

Y sabemos que Ana hizo 198 polos mas que Carla.

Definamos las variables:

C = polos que hizo Carla.

A = polos que hizo Ana

B = polos que hizo Beto.

Podemos escribir las ecuaciones:

A = C + 198

B = (7/19)*A

B = 28/(28 + 15)*C

Tenemos un sistema de ecuaciones, las segundas dos son las que obtenemos con los ratios que nos proporcionan.

Reemplazando la primer ecuacion en la segunda obtenemos el sistema:

B = (7/19)*(C + 198)

B = 28/(43)*C

De la segunda ecuacion podemos obtener:

C = B*(43/28)

Remplazando eso en la otra ecuacion obtenemos:

B = (7/19)*(B*(43/28)+ 198)

Ahora podemos encontrar el valor de B.

B = 0.57*B + 72.95

B - 0.57*B =  72.95

B*0.43 = 72.95

B = 72.95/0.43 = 169.6

Redondenado, B = 170, ese es el número de polos que Beto confecciono.

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Answer:

x + 3y + 9 = 0

Step-by-step explanation:

y=3x + 2

Coefficient of x = 3

Gradient (m) of line y= 3x + 2 is 3

Since the line passing through point

(3,-4) is perpendicular to line y=3x + 2

hence gradient (m) of the line is -1/3;

And hence it equation is given as;

y - y1 = m(x - x1)

y - (-4) = -1/3(x - 3)

multiplying through by 3;

3 × y + 3 × 4 = 3 × -1/3(x - 3)

3y + 12 = -1(x - 3)

3y + 12 = -x + 3

x + 3y + 12 - 3 = 0

x + 3y + 9 = 0

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Evaluate the expression

if a=13, b=3 and c=6

replace all values into the expression

simpify

the expression is equal to -5

Answer:

(2,6)

Step-by-step explanation:

Area of base:-

Now

Volume:-

Answer:

the answer is 54 that person is correct i just took the quiz and got 100% to

Step-by-step explanation:

A division is a process of splitting a specific amount into equal parts. The unit rate for $12.50 for 5 ounces is $2.5

A division is a process of splitting a specific amount into equal parts.

Given,

$12.50 for 5 ounces

We need to find for a unit rate.

For this we need to use division. We have to split $12.50 among 5 ounces.

12.50 as Divisor and 5 as dividend.

Twelve point five zero divided by five

$12.50/5

2.5

Hence the unit rate for $12.50 for 5 ounces is $2.5

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Answer:

True

Step-by-step explanation:

They are all numbers.

Answer:

f(x)=293(1.06)^x;370

The quail population after 4 years is 370

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let y represent the population of the quail after x years.

There is an initial population of 293 quail, hence a = 293. the population increases at an annual rate of 6%. hence b = 100% + 6% = 1.06

The exponential function is given by:

y = 293(1.06)ˣ

The population after 4 years:

y = 293(1.06)⁴ = 370

The quail population after 4 years is 370

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Answer:

(a, 2a), and (a, -2a)

The equation of the line in slope-intercept form is: y = -25x + 100. A negative slope indicates that the battery percentage is decreasing over time.

Part A:

To write the equation of a line in slope-intercept form, we need to know the slope (m) and y-intercept (b) of the line.

From the given information, we know that the y-intercept is 100 and the x-intercept is 4. This means that after 4 hours, the battery percentage is 0%.

To find the slope, we can use the slope formula:

m = (y2 - y1)/(x2 - x1)

Choosing two points on the line, one being the y-intercept (0,100) and the other being the x-intercept (4,0), we can plug in the values:

m = (0 - 100)/(4 - 0) = -25

Therefore, the equation of the line in slope-intercept form is:

y = mx + b

y = -25x + 100

Part B:

To determine the equation, we used the fact that the y-intercept was 100 and the x-intercept was 4. We then found the slope of the line using the slope formula with two points on the line. Plugging the slope and y-intercept into the slope-intercept form equation y = mx + b gives us the final equation.

Part C:

The slope of the line is -25, which means that for every hour that passes, the battery percentage decreases by 25%. Therefore, the slope represents the rate of change of the battery percentage with respect to time. A negative slope indicates that the battery percentage is decreasing over time.

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