At camping trip, you have the option of seating in a small table or a large table. A small table fits 5 campers who will share 2 pizzas. A large table fits 6 campers who will share 3 pizzas.

Assuming the pizza is shared evenly among the table , at which table do you get the most pizza? Explain how you know.

Answer:

A

C

D

F

G

Step-by-step explanation:

You can pretty easily find the answer by just going through each statement and analyzing what it means.  For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel.  This could be correct.  The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question.  We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees)  This answer choice is incorrect.  Next up we have BPC and APD and it asks whether or not they are congruent.  We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent.  This means C is also a correct option.  Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent.  This answer choice is correct also.  Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from.  AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram.  This IS a correct choice.  Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question.  Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC.  These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes.  G is also a correct answer.  Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles.  Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other.  Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct.  This leaves A,C,D,F, and G as the correct answers.

Answer:

22

Step-by-step explanation:

17+5

Answer:

you have a whiz problem   LOL

Step-by-step explanation:

Answer:

a) 0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.

b) 0.762 = 76.2% probability that at least three people arrive during a particular hour

c) 2 people.

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 interval.

Poisson process with a rate parameter of four per hour.

This means that [tex]\mu = 4[/tex].

(a) What is the probability that exactly three arrivals occur during a particular hour?

This is P(X = 3). So

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

[tex]P(X = 3) = \frac{e^{-4}*4^{3}}{(3)!} = 0.195[/tex]

0.195 = 19.5% probability that exactly three arrivals occur during a particular hour.

(b) What is the probability that at least three people arrive during a particular hour?

Either less than three people arrive during a particular hour, or at least three does. The sum of the probabilities of these outcomes is 1. So

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

We want [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]. So

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

[tex]P(X = 0) = \frac{e^{-4}*4^{0}}{(0)!} = 0.018[/tex]

[tex]P(X = 1) = \frac{e^{-4}*4^{1}}{(1)!} = 0.073[/tex]

[tex]P(X = 2) = \frac{e^{-4}*4^{2}}{(2)!} = 0.147[/tex]

So

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.018 + 0.073 + 0.147 = 0.238[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.238 = 0.762[/tex]

0.762 = 76.2% probability that at least three people arrive during a particular hour.

c) How many people do you expect to arrive during a 30-min period?

One hour, 4 people

Half an hour = 30 min = 4/2 = 2 people.

Step-by-step explanation:

Use the quadratic formula to find the solutions.

−b±√b2−4(ac)2a-b±b2-4(ac)2a

Substitute the values a=9a=9, b=0b=0, and c=−81c=-81 into the quadratic formula and solve for xx.

x=±3x=±3

The final answer is the combination of both solutions.

x=3,−3x=3,-3

awnser 1.100

awnser 2.-10

awnser 3.0

awnser 4.0

Answer:

Check question number 9 in that file you may be able to understand the problem

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

Answer:0.36

Step-by-step explanation:

Given

Probability of a free throw =0.6

It is given that the two throws are independent of each other

So, the Probability of making two consecutive throws

[tex]P=\text{Probability of first throw}\times \text{Probability of second throw}\\P=0.6\times 0.6=0.36[/tex]

Answer:

the first one, 2.5x

Step-by-step explanation:

Hope this helps!

Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6

Step-by-step explanation:

Answer:

34.5 minutes

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

0.7 * 1.3= 9.1

Answer:

I believe it is 0.7 and 13.

Step-by-step explanation:

Factors are numbers that are in a multiplication equation, so the choices would have to be multiplied together, showing that C : 0.7 and 13 is the correct answer.

Answer:

34650

Step-by-step explanation:

Answer: your new salary would be $34,650 which is -1% of what your initial salary was ($35000)

Step-by-step explanation:

35000x.10=3500

35000+3500=38500

38500x.10=3850

38500-3850=34650

34650-38500=-350

-350/38500=-1%

Answer:

A chair costs $2.50 each and a table costs $6 each.

Step by Step Explanation:

First, let's break this down to two equations.

Equation 1: 2c + 5t = 35

Equation 2: 8c + 5t = 38

Let's first solve for "t" (tables) by modifying Equation 1 so that it has the same number of chairs as Equation 2.

To do that, we must times the equation by 4, so:

4(2c + 5t = 35) -> 8c + 20t = 140.

So now the two equations we have are:

1: 8c + 20t = 140

2: 8c + 3t = 38

Now that they have the same number of chairs (8c), we can subtract Equation 2 from Equation 1, and that gets us the following:

17t = 102

t = 102 / 7 = 6.

Therefore, a table costs $6.00 to rent.

Knowing this, we can use either equation to now find "c". Let's use Equation 1.

2c + 5(6) = 35

2c + 30 = 35

2c = 5

c = 5 / 2 = 2.5

So now we know each chair costs $2.50 to rent. Let's use Equation 2 to confirm both the costs of the table and the chair.

8(2.5) + 3(6) = 38

20 + 18 = 38

38 = 38.

Therefore, each chair costs $2.50 and each table costs $6.

Answer:

8

Step-by-step explanation:

Answer: Do you have a picture?

Step-by-step explanation:

I there a picture for the problem ?

Answer:

B. $4143.50

Step-by-step explanation:

Wendy has purchased condominium and is financing it through the loan. The loan term is for 8 years with an interest rate of 5.65%. The payment at the start of the year 1 is $595,000 * 5.65% = $3344.70. The loan term reached maturity so the payment will increase to 4143.50

Answer:

-65a -21 "that is the simplified version"

Answer:

-65a - 21

Step-by-step explanation:

7 ( -9a - 3 ) -2a

Distribute, multiply every term in the parenthesis by the term right outside of the parenthesis,

7 ( -9a - 3 ) - 2a

-63a - 21 - 2a

Simplify

-65a - 21

Answer:

The answer is 2  1/2

Step-by-step explanation:

First you turn 3 3/4 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator = 4x3=12 +3=15/4.

Then you turn 1 1/2 into an improper fraction .To do that you multiply the denominator x the whole number + the numerator =2x1+1=3/2

15/4 divided by 3/2 but get your answer you have to reverse 3/2 into 2/3 and you multiply instead of dividing .

15/4 x 2/3 =15 x2 = 30 , 4x3=12  so your answer will be 30/12 but it can be simplified because they are both multiple of 6 . So , 30 divided by 6 = 5 and 12 divided by 6 = 2 so then you answer is 5/2 but it is an improper fraction so you divide 5 by 2 and you get 2 and a remainder of 1/2=2 1/2

Answer:

1/4

Step-by-step explanation:

1/3 - 1/12 = 4/12 - 1/12 (LCM)

= 3/12

=1/4 (simplified)

Answer:

176 ounces :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(7) = 32

f(-9) = 32

f(s) = 32

f(s-t) = 32

g(7) = 10·7+4 = 74

g(-9)  = 10(-9)+4 = -86

Answer:

x  =  40/ 33

40 ÷ 33 = 1.21 (21 repeating)

The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]

since the decimal number is 1.21

So, here if we divide the 40 by 33 so it comes 1.21

Therefore, we can conclude that The fraction when the decimal number is provided i.e. 1.21 should be considered as the [tex]40\div 33[/tex]

Learn more about fraction here: https://brainly.com/question/12405736

Answer:

b. No, the probability of getting the broken tape measure changes as there is no replacement.

Step-by-step explanation:

For each tape measure, there are only two possible outcomes. Either it is broken, or it is not, which means that the first condition for the binomial distribution is respected.

However, the tapes are not returned to the box, which means that in each trial, the probabilities of getting the tape with defect changes, which means that the binomial distribution cannot be used. So option b is the correct answer

Answer:636

Step-by-step explanation: I just kno