MATHEMATICS HIGH SCHOOL

Shelby, Allen, and Denise printed their digital photos. Each requested the same size prints. Shelby paid $2.70 for 5 prints. Allen paid $3.24 for 11 prints. Denise paid $4.05 for 20 prints

Answers

Answer 1
Answer:

Answer:

wrote the ordered pairs (5, 2.70),  (11, 3.24), and (20, 4.05)

used two of the ordered pairs to find the slope

wrote the point-slope form for a linear equation

substituted the slope and the coordinates of one of the points to write the equation of the line

Step-by-step explanation:
Answer 2
Answer: Person:    Number of prints      Total Cost
Shelby             5                               2.70
Allen               11                              3.24
Denise            20                             4.05

To solve for the variable cost:
11 - 5 = 6
3.24 - 2.70 = 0.54
0.54 / 6 = 0.09 per print

To solve for the fixed cost
0.09 x 5 = 0.45
2.70 - 0.45 = 2.25 

y = 2.25 + 0.09x

y = 2.25 + 0.09(5) = 2.25 + 0.45 = 2.70
y = 2.25 + 0.09(11) = 2.25 + 0.99 = 3.24
y = 2.25 + 0.09(20) = 2.25 + 1.8 = 4.05

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A coin was flipped 150 times. The results of the experiment are shown in the following table:Heads Tails
90 60


Which of the following best describes the experimental probability of getting heads?
It is 10% higher than the theoretical probability.
It is 10% lower than the theoretical probability.
It is equal to the theoretical probability for this data.
The experimental probability cannot be concluded from the data in the table.

Answers

Answer:

The statement that best describes the experimental probability of getting heads is:

       It is 10% higher than the theoretical probability.

Step-by-step explanation:

We know that the theoretical probability of getting head is: 0.5

and the theoretical probability of getting tail is: 0.5

Also, the results of experiments are:

          Heads        Tails

           90                60

This means that the experimental probability of getting head is: 90/150=3/5=0.6

and the experimental probability of getting tail is: 60/150=2/5=0.4

Hence, the experimental and theoretical probability of getting head is not same or equal.

Also, the experimental probability of getting head is more than the theoretical probability  of getting head and the percent increase is calculated as:

(0.6-0.5)* 100\n\n\n=(0.1)* 100\n\n=10\%

Answer:

Its 10% higher than theoretical

Step-by-step explanation:

90/150 x 100= 60%

60-50=10

Quadrilateral ABCD has coordinates A(3,5) B(5,2) C(8,4) D(6,7). quadrilateral ABCD is a?

Answers

Use the distance formula. The distance formula is: 

\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}

If you input the values, you will get: 

A to B=√(13)

B to C=√(13)

C to D=√(13)

D to A=√(13)

It is a square.

Hope that helped!

~Cam943, Moderator

Answer:

it is a square use geogebra and you will see

Step-by-step explanation:

When factored completely, the expression p^4-81 is equivalent to what?

Answers

differnce of 2 pefect squares
a^2-b^2=(a-b)(a+b)
(p^2)^2-9^2=(p^2-9)(p^2+9)

p^2-9=(p-3)(p+3)

factored is
(p-3)(p+3)(p^2+9)
Hello,

p^4-3^4=(p²+9)(p²-9)=(p-3)(p+3)(p²+9) [in R]
[(maybe (p-3)(p+3)(p-3i)(p+3i) in C]

The Jack In The Box franchise in Bangor, Maine, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order french fries is 0.50.The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.0.58
0.48
0.45
0.68

Answers

Answer: 0.48

Step-by-step explanation:

Given : The probability that a customer will order a hamburger P(H)= 0.60.

The probability that a customer will order french fries P(F)= 0.50.

The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries : P(F|H)= 0.80.

Using conditional probability formula , for any event A (first event) and B (second event), we have:-

P(B|A)=(P(A\cap B))/(P(A))\n\n\Rightarrow\ P(A\cap B)=P(A)*P(B|A)

Similarly, the probability that the order will include a hamburger and fries :-

P(H\cap F)=P(H)* P(F|H)\n\n=0.60*0.80\n\n=0.48

Hence, the probability that the order will include a hamburger and fries=0.48

Find an equivalent function to f(x) = 5(3)3x.

Answers

Question: f(x) = 5(3)^(3x)
Explanation/Steps: f(x) = 5(3)^(3x) = 5(3^(3x)) = 5(27)^x = 5(27)x
Answer: f(x) = 5(27)x.

Good luck~

Answer:

Step-by-step explanation:

An equivalent function to 5(3)^3x is Answer C. F(x) = 5(27)x

Identify terms, like terms, coefficients, constant terms then simplify the expression

Answers

Answer:

coefficient: a numerical or constant Quanity plays before and multiplying the variable in and algebraic

constant turn: a constant is it's only number or sometimes a letter such as a, b, or c

like terms: our terms food variables and their exponents such as two X over two, (are the same).

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