A football team scored fewer than 16 points in Saturday’s game. Than wants to write an inequality for the number of points. He uses the variable s in his inequality. What does s represent? A - the number of fans of the team
B - the number of games played by the team
C - the number of points scored by the team
D - the number of players on the team

The above questions answer is 8 and 14

Answer:

C. 160 minutes

Step-by-step explanation:

The calculation to be made will be to process 20 students

We have, according to the exercise, the following data:

For process 1: Registration table, Number of servers = 1, Time spent = 2 minutes

For process 2: cashier, number of servers = 3, time spent = 10 minutes

For process 3: ID processing station, number of servers = 4, time spent = 20 minutes

Demand rate = 0.125

To solve it, we will look for the capacity that the server has of the previously mentioned processes, calculating the following:

Capacity = Number of students served per minute

We can say that at the registration table we observe:

Time needed to serve 1 student = 2 minutes

Capacity = 0.5 students per minute

With the cashier we analyze the following:

Time needed to serve 1 student = 10 minutes

Number of servers = 3

Capacity = 0.3 students per minute

ID processing station

Time needed to serve 1 student = 20 minutes

Number of servers = 4

Capacity = 0.2 students per minute

When comparing the processes, it is definitely found that the bottleneck is the ID processing station, where it takes more time to serve a student, which leads us to infer that the capacity of the process is comparable to the capacity of the process bottleneck

Process capacity = 0.2 students per minute

Given, demand rate = 0.125 students per minute

We observe that the demand rate is less than the capacity of the process, therefore we can infer that the number of students served during each minute is the same as the demand rate.

In this way we find that:

Number of students served per minute = 0.125

Time needed to serve 1 student = 1 / 0.125 = 8 minutes

Time needed to serve 20 students = 8 x 20 = 160 minutes.

We conclude that the answer is that it will take 160 minutes to serve 20 students.

.

Answer:

C) 160 minutes

Explanation:

Given:

Time spent at registration desk = 2mins

Time spent at the cashier = 10 mins

Time spent at the ID processing station = 20 mins

Number of registration desk = 1

Number of cashiers = 3

Number of ID processing stations = 4

Let's calculate the capacity of each process using the expression: number of agents / process time

Therefore,

Capacity of registration desk =

[tex] \frac{1}{2} = 0.5 students per min[/tex]

Capacity of cashiers =

[tex] \frac{3}{10} = 0.3 students per min [/tex]

Capacity of ID processing stations =

[tex] \frac{4}{20} = 0.2 students per min[/tex]

The process capacity is equal to the bottleneck process. Here, the bottleneck process is the process with the longest time per minute which is the ID processing station.

Therefore, given a rate of 0.125 student per min and Process capacity of 0.2 student per min, we'll take 0.125 as the number of students per minute since it is lower than the process capacity.

Therefore, time taken to serve one student = [tex] \frac{1}{0.125} = 8mins [/tex]

Time taken to serve 20 students would be = 20 * 8 = 160 minutes

Answer:

See explanation below

Step-by-step explanation:

In this case, let's answer this by parts:

a) Concentration at time t when Co  is concentration at t = 0:

In this case, we will use the initial expression but without the 2, so:

C(t) = -kC

In this case, we want to know the concentration at time t so:

C'(t) = -kC(t)    derivating:

dC/dt = -kC

dC/C = -kdt   From here, we can do integrals so:

lnC = -kt + C₁   (1)

Now, it's time to replace t = 0 and C = C₀:

lnC₀ = -k(0) + C₁

lnC₀ = C₁   (2)

Replacing (2) in (1) we have:

lnC = -kt + lnC₀

lnC - lnC₀ = -kt

ln(C/C₀) = -kt

C/C₀ = e^(-kt)

C(t) = C₀ e^(-kt)   (3)

This is the expression for C at given time t.

2. time to eliminate 80% of the drug:

With the first data, we need to calculate the value of k, which will be constant at any given time so:

C(t) = C₀ e^(-kt)

0.5C₀ = C₀ e^(-30k)

0.5 = e^(-30k)

ln(0.5) = -30k

k = 0.02310

Now with this value we can calculate the time to eliminate 80% of the drug or simply in other words, that we just have a remaining of 0.2C₀:

0.2C₀ = C₀ e^(-0.0231t)

ln(0.2) = -0.0231t

-ln(0.2) / 0.0231 = t

t = 69.67 h

This is the time to eliminate 80% of the drug

Answer:

12+20+8=40

Step-by-step explanation:

1tu5gtv445567164r7f+5824++

Answer:

See below

Step-by-step explanation:

The manager rides down 2 floors from 19 floor which means he stops at floor 17, the floor he rides down as negative integer = -2. Then, he rides down 3 floors and it means he stops at floor 14. This means the number of floors he rides down from there = -3

then he rides to the first floor as there is no number 13 floor it means he rides down 12 floor = -12

the addition expression using negative integers to show the number of total floors the hotel manager rode down the elevator = -2 + (-3) + (-12) = -17

Step-by-step explanation:

-10 + 8x < 6x - 4

Bringing like terms on one side

8x - 6x < - 4 + 10

2x < 6

x < 6/2

x < 3

Answer:

711

Step-by-step explanation:

595=x-116

x=711

Therefore, 711

I hope this helped and have a good rest of your day!

Answer:

2/3 [tex]\pi[/tex]r²

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x * ( 7 - x ) > 8

Substitute the number and if the expression is True then that number is a solution.

A substitute x=8

x * ( 7 - x ) > 8

8 * ( 7 - 8 ) > 8

8 * ( -1 ) > 8

-8 > 8

This statement is FALSE so the number is not a solution of the inequality.

B substitute x=2

x * ( 7 - x ) > 8

2 * ( 7 - 2 ) > 8

2 * ( 5 ) > 8

10 > 8

This statement is True so the number is a solution of the inequality.

C substitute x=-1

x * ( 7 - x ) > 8

-1 * ( 7 - -1 ) > 8

-1 * ( 7 + 1 ) > 8

-8 > 8

This statement is FALSE so the number is not a solution of the inequality.

D substitute x=0

x * ( 7 - x ) > 8

0 * ( 7 - 0 ) > 8

0 * ( 7 ) > 8

0 > 8

This statement is FALSE so the number is not a solution of the inequality.

Answer:

a) 2b = 3g

b) 3p = b

Step-by-step explanation:

Given:

Fire hydrant with a blue cap, b, provides water at a rate = 1500 gallons per min

Fire hydrant with a green cap, g, provides water at a rate = 1000 gallons per min

Fire hydrant with a purple cap, p, provides water at a rate = ½g = [tex] \frac{1}{2}*1000 = 500 [/tex]

a) The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.

Given flow of blue hydrant, b = 500

Simplifying, we have:

b = 3*500

[tex] b = 3 * \frac{1000}{2} [/tex]

Since the flow rate of green hydrant, g, is 1000, let's replace 1000 with g above.

Therefore,

[tex] b = 3 * \frac{g}{2} [/tex]

[tex] b = \frac{3}{2}g [/tex]

Cross multuply

[tex] 2b = 3g [/tex]

The equation to relate the flow of water from the blue hydrant, b, to the flow from the green hydrant, g is 2b=3g.

b) An equation to relate the flow of water from the purple hydrant, p, to the flow from the blue hydrant, b.

Given flow rate of purple hydrant, p = 500

It could also be re-written as:

[tex] \frac{3}{3} * 500 [/tex]

[tex] p = \frac{1500}{3} [/tex]

Since the flow rate of blue hydrant, b, is 1500, let's replace 1500 with b above.

[tex] p = \frac{b}{3} [/tex]

Cross multiply

3p = b

The relation between the flow of water between different caps is required.

The relations are b = (3/2)g and p = (1/3)b

b = Rate of water flow through blue cap = 1500 gallons per minute

g = Rate of water flow through green cap = 1000 gallons per minute

p = Rate of water flow through purple cap = 1000/2 = 500 gallons per minute

We have the relation

[tex]1000\times 1.5=1500[/tex]

[tex]\Rightarrow g1.5=b[/tex]

[tex]\Rightarrow b=\dfrac{3}{2}g[/tex]

For second part

[tex]500 \times 3=1500[/tex]

[tex]\Rightarrow p3=b[/tex]

[tex]\Rightarrow p=\dfrac{1}{3}b[/tex]

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Answer:

I'm pretty sure it would be B; go 2 units to the right and 12 units up.

Step-by-step explanation:

the question is asking for the percentage that got it right not the number of letters in the word, and 9 is the number of letters, and 12 is the number that got it right.

The correct data for 2 in coordinate grid will be from the origin, go 9units to the right and 12units up.

How to locate a point on graph?

To locate a point having coordinate (x,y) in graph, we have to go x direction right or left depending on the sign of x-coordinate(for right +,for left -), then we have to go y direction up or down depending on the sign of y-coordinate(for up +,for down -).

The graph is done by taking Number of letters in the word in x axis and Percentage of students who spelled the word correctly in y axis.

According to the table, it is clear that for data 2 Number of letters in the word is 9. so x=9

And Percentage of students who spelled the word correctly is 12

so y=12

So the coordinate of the point for data 2 is (9,12)

To locate the point (9,12) in coordinate grid we have to go 9units to the right in x axis and then we have to go 12units up in y axis direction.

Therefore The correct data for 2 in coordinate grid will be from the origin, go 9units to the right and 12units up.

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Answer:

1

Step-by-step explanation:

A rectangle is formed with opposite unique sides , the rectangle formed can only be 1.

See the diagram attachment for you to get the picture;

Answer:

 70 °

Step-by-step explanation:

We have that one side of the rhombus is equal to 4 cm and an angle of the rhombus is 110 degrees. We know that the adjacent sides of a rhombus are supplementary, which means that the sum of the angles must be 180 degrees.

We can assume that the other angle is x.

110 ° + x = 180 °

x = 180 ° -110 °

x = 70 °

The measure of the missing angle on the diagram will be 70 °.

Answer:

Step-by-step explanation:

For 20 hours a week, I earn $15 per hour, and I earn $15,600 annually. As noted on my W-4 form, I can assert my exemptions. Every year the Internal Revenue Service declares allowances for exemptions. A single person's current allowance for one exception is $3,950. I may assert another exemption for a partner of $ 3,950. At $3,950 each, I can also assert exemptions for any dependents. Suppose my contribution is 10 percent to a 401(k) retirement plan: $15,600-$1,560 = 14,040 dollars I am single, so on my W-4 form, I claimed one exemption which I submitted to my employer: 14,040-3,950 dollars = 10,090 dollars My gross revenue (minus exemptions and deductions) is therefore $ 10,090. Currently based on $10,090, I can measure the federal income tax, social security, and other withholdings My employer withholds federal tax, tax on social security, and tax on Medicare cash. For 2015, the federal income tax brackets are as follows: Tax Rate Taxable Income Levels 10% $0–$9,225 15% $9,226–$37,450 25% $37,451–$90,750 28% $90,751–$189,300 33% $189,301–$411,500 35% $411,501–$413,200 39.60% Above $413,200 The tax bracket for my income is 15 percent. However, I am not taxed 15 percent on the entire amount. I will be taxed 10 percent for the first $9,225 dollars earned. Then, I will be taxed 15 percent on the remaining amount: 10 percent of 9,225 = $922.50 15 percent of ($10,090 – $9,225) = $129.75 Total income tax = $1,522.25 Thus, my income minus federal tax ($10,090 – $1,522.25) is $9,037.75. The Social Security tax is 6.2 percent, and the Medicare tax is 1.45 percent. These taxes are calculated based on my gross income: 6.2 percent of $15,600 = $967.20 1.45 percent of $15,600 = $226.20 Thus, my net pay will be: $9,037.75 – (967.20 + 226.20) = $7,844.35.

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

The probability of drawing even number cards is 1/2.

Probability is "possibility that deals with occurrence of random events".

According to the question,

Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up.

Numbers of space = 1,2,3,4,5,6

Even numbers are 2, 4, 6 and odd numbers are 1, 3, 5.

To find Probability of drawing even number cards is equal to number of units of even number cards is divided by total number of units of cards.

Probability of even numbers of cards = 3/6

= 1/2

Hence, Probability of even numbers of cards is 1/2.

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Answer:

yeah

Step-by-step explanation:

Answer:

There are 144 apple juices

Step-by-step explanation:

1 = 16

9 = ?

2 = ?

16 x 9 = 144

16 x 2 = 32

Answer:

E[X]= [tex]2 + 3 e^{(-2/3)[/tex]

Step-by-step explanation:

The objective of this question is to determine E[X].

T is defined (0,infinity)

X=max(c,T)

where; c=constant

E[X]=c+function (c,infinity) Sf(t)dt

E[X] =[tex]e^{-t/3[/tex]

E[X]=2+function (2,infinity)[tex]e^{-t/3[/tex]dt

E[X] =[tex](2+e^{-t/3})/(1/3)[/tex] function (2,infinity)

E[X]= [tex]2 + 3 e^{(-2/3)[/tex]

If X = T   if T ≥ 2 and X = 2    if 0 ≤ T < 2,

So Since T is  exponentially distributed with mean 3,  the density function of T is  [tex]f(t) = (1/3)e^{(-t/3)[/tex]

Answer:

a) 0.0065 = 0.65% probability of receiving no emails during an hour.

b) 0.1212 = 12.12% probability of receiving at least three emails during an hour

c) The expected number of emails received during 15 minutes is 1.2604.

d) 0.2835 = 28.35% probability that no emails are received during 15 minutes

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given time interval.

In this question.

121 emails per day.

A day has 24 hours, so per hour, 121/24 = 5.0417, which means that [tex]\mu = 5.0417n[/tex], in which n is the number of hours.

A. What is the probability of receiving no emails during an hour?

n = 1, so [tex]\mu = 5.0417[/tex]

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5.0417}*(5.0417)^{0}}{(0)!} = 0.0065[/tex]

0.0065 = 0.65% probability of receiving no emails during an hour

B. What is the probability of receiving at least three emails during an hour?

Either you receive less than three emails during an hour, or you receive at least 3. The sum of the probabilities of these events is decimal 1. So

[tex]P(X < 3) + P(X \geq 3) = 1[/tex]

We want [tex]P(X \geq 3)[/tex]

Then

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-5.0417}*(5.0417)^{0}}{(0)!} = 0.0065[/tex]

[tex]P(X = 1) = \frac{e^{-5.0417}*(5.0417)^{1}}{(1)!} = 0.0326[/tex]

[tex]P(X = 2) = \frac{e^{-5.0417}*(5.0417)^{2}}{(2)!} = 0.0821[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0065 + 0.0326 + 0.0821 = 0.1212[/tex]

0.1212 = 12.12% probability of receiving at least three emails during an hour

C. What is the expected number of emails received during 15 minutes?

15 minutes is a fourth of an hour, so n = 1/4 and [tex]\mu = \frac{5.0417}{4} = 1.2604[/tex]

The expected number of emails received during 15 minutes is 1.2604.

D. What is the probability that no emails are received during 15 minutes?

[tex]P(X = 0) = \frac{e^{-1.2604}*(1.2604)^{0}}{(0)!} = 0.2835[/tex]

0.2835 = 28.35% probability that no emails are received during 15 minutes

Answer:

Where's the picture?

Answer:

  3) 174°15'18"

  4) 34.859722...(repeating)°

  5) 434°, -286°

Step-by-step explanation:

There are 60 minutes in a degree, and 60 seconds in a minute.

3) To find minutes, multiply fractional degrees by 60:

  .255° = 0.255°×(60'/1°) = 15.3'

To find seconds, multiply fractional minutes by 60:

  0.3' = 0.3'×(60"/1') = 18"

Then the whole angle is ...

  174.255° = 174° 15' 18"

__

4) The conversion works the other way, too.

  34° 51' 35" = 34° +51(1/60)° +35(1/3600)° = (34 619/720)°

  = 34.8597222...° (a repeating decimal)

__

5) Add or subtract multiples of 360° to get co-terminal angles.

  74° +360° = 434°

  74° -360° = -286°

Answer:

The solution is rotation, then translation. The figure has been rotated about the origin by 90° and then translated 6 units to the right.

Answer:

-399

Step-by-step explanation:

21=b/-19

b=21 x -19

b=-399

Answer:

-399

explanation

b=21×-19

b=-399

Answer:

40585818

Step-by-step explanation:

thats an insane amount of anything but like, dam n

363636*111 to find out how many were caught, then that number plus 222222

Answer:

Step-by-step explanation:

The parameter in this hypothesis test describes the entire population. So in this test, the parameter is looking into the summary number for instance like an average of all overweights who after undergoing this pattern/daily habits exhibits weight loss.

Answer:

[tex](f-g)(x) = -12x^{2} - 8x + 9[/tex]

(f-g)(-4) = -151

Step-by-step explanation:

To find f-g(x) we subtract the common terms. So

[tex]f(x) = -9x^{2} - 2x[/tex]

[tex]g(x) = 3x^{2} + 6x - 9[/tex]

(f-g)(x)

[tex](f-g)(x) = f(x) - g(x) = -9x^{2} - 2x - (3x^{2} + 6x - 9) = -9x^{2} - 2x - 3x^{2} - 6x + 9 = (-9 - 3)x^{2} + (-2 - 6)x + 9 = -12x^{2} - 8x + 9[/tex]

(f-g)(-4)

[tex](f-g)(x) = -12x^{2} - 8x + 9[/tex]

We replace x by -4

[tex](f-g)(-4) = -12(-4)^{2} - 8(4) + 9= -151[/tex]

(f-g)(-4) = -151

Answer:

$ 71.83  

Step-by-step explanation:

This year's earnings=last year's earnings*(1+growth rate)=$2*(1+20%)=$2.4

This year's dividend=2.4 *payout ratio=2.4 *20%=$0.48

Next year's earnings=$2.4*1.2=$2.88

Next year's dividend=2.88 *0.2=$ 0.58  

Year 3 earnings=$2.88*1.2=$ 3.46  

Year three dividend= 3.46*0.2=$0.69  

year 4 earnings =$3.46*1.08=$ 3.74  

Dividend from year 4 onward= 3.74  *0.5=1.87

From year 4 terminal value=1.87 /(cost of equity-growth rate)=1.87/(10%-8%)=$93.5

Share price is present value of the above dividends amnd terminal value=0.48/(1+0.1)^0+0.58/(1+0.1)^1+0.69/(1+0.1)^2+93.5/(1+0.1)^3=$ 71.83  

Answer:

they're equal. 3/6 simplifies to 1/2

Step-by-step explanation:

Answer:

It is the same!

Step-by-step explanation:

think about it this way. 3/6 simplified is 1/2. there are two pies, one is cut into two equally and the other is cut into six equally. You eat one on the first one and 3 on the second one. you ate halves of both pies.

Answer:

1,2,4,8,"16",32

Step-by-step explanation:

we are times by 2 on each one

The missing number in the sequence is 16.

The given sequence follows a pattern where each number is obtained by multiplying the previous number by 2.

Starting with 1:

1 × 2 = 2

2 × 2 = 4

4 × 2 = 8

8 × 2 = 16

16 × 2 = 32

So, the missing number in the sequence is 16.

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Answer:

4.5 Kg

Step-by-step explanation:

Given that 500 gms of dough is required to make one sourdough loaf.

And we need 9 such loaves.

We can find the required weight of dough simply by adding 500 gms , 9 times.

i.e. 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms + 500 gms = 4500 gms.

Or we can simply multiply 500 gms by 9 to get 4500 gms.

We know that 1 kilogram = 1000 grams.

So, dividing 4500 grams by 1000 to convert into kilogram.

[tex]\Rightarrow \dfrac{4500} {1000}\\\Rightarrow 4.5 kg[/tex]

So, the required weight of dough for making 9 sourdough loaves is 4.5 kg.

Answer:the first choice

Step-by-step explanation:

The test has 29 problems. That means x problems + y problems =29

The x problems are worth 5 points. So that’s 5x. The y problems are worth 2 points. So that’s 2y. The total the points add up to is 100. So 5x+2y=100

The first answer choice shows that

Answer:

A

Step-by-step explanation:

x + y = 29, 5x + 2y = 100