Answer:
c(x) = 40 (x) + $6,900
Step-by-step explanation:
According to the scenario, given data are as follows,
Total cost of 100 bicycles (x1) = $10,900
Total cost of 120 bicycles (x2) = $11,700
Let Number of bicycles = X
Than cost of X bicycles = c(X)
let, fixed cost be F and variables cost be V, than
c(X) = V(X) + F
So, we can calculate variable cost by using following method,
V = c(x2) - c(x1) ÷ ( x2 - x1)
= ( $11,700 - $10,900) ÷ ( 120 - 100)
= $800 ÷ 20
= $40
So, calculate fixed cast by putting value to equation,
$10,900 = ($40 ×100) + F
F = $10,900 - $4,000 = $6,900
So, For x number of bicycles, cost equation will be,
c(x) = 40 (x) + $6,900
Alex bought a football jersey that cost $95 and a football for $25. The local sales
tax is 8%. What was the total cost including tax?
Answer:
129.6$
Step-by-step explanation:
25+95=120
8% of 120 = 9.6
120+9.6= 129.6
Answer:
129.60
total w/o tax- 120
tax- 9.60.
8) x - 5y = -15
x - 2y = -12
Answer:
If solving for X. (didn't know if you were solving for X or Y.
x=2y-12
x=5y-15
Step-by-step explanation:
x-2y=-12
+2y on both sides
x=2y-12
x-5y=-15
+5y on both sides
x=5y-15
Answer:
x = -10
y = 1
Step-by-step explanation:
x - 5y = -15
x - 2y = -12
__________--
-3y = -3
y = -3/-3
y = 1
x - 2y = -12
x - 2(1) = -12
x - 2 = -12
x = -12 + 2
x = -10
Bowler world charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 dollars for shoes and $1.50 per game
Answer:
6.10 for 1 and 4.50 . for 2
Step-by-step explanation:
Is this Imaginary x2 - x + 1 = 0
Answer:x= -1/2
Step-by-step explanation:
Find the value of x in the figure.
Answer:
x=100
Step-by-step explanation:
x+23+57=180
x+80=180
x=100
A quiz has 10 multiple choice questions each with 4 answers that are equally likely to be the correct one. Suppose that the quiz takers need to score 7 corrects out of 10 to pass. Answer the following questions when the quiz taker selects the answers randomly. a) Probability of marking exactly 3 incorrect answers. b) Probability of passing
Answer:
a) 0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) 0.0035 = 0.35% probability of passing.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student chooses the correct answer, or he does not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
10 multiple choice questions
This means that [tex]n = 10[/tex]
4 answers that are equally likely to be the correct one. The quiz taker selects the answers randomly.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a) Probability of marking exactly 3 incorrect answers.
3 incorrectly = 7 correctly, so this is P(X = 7).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
0.0031 = 0.31% probability of marking exactly 3 incorrect answers.
b) Probability of passing
At least 7 correct, so
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 7) = C_{10,7}.(0.25)^{7}.(0.75)^{3} = 0.0031[/tex]
[tex]P(X = 8) = C_{10,8}.(0.25)^{8}.(0.75)^{2} = 0.0004[/tex]
[tex]P(X = 9) = C_{10,9}.(0.25)^{9}.(0.75)^{1} \approx 0[/tex]
[tex]P(X = 10) = C_{10,10}.(0.25)^{10}.(0.75)^{0} \approx 0[/tex]
[tex]P(X \geq 7) = P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0031 + 0.0004 + 0 + 0 = 0.0035[/tex]
0.0035 = 0.35% probability of passing.
helppppp plzzzzzzzzz !
I NEED HELP RIGHT NOWWW
Answer:
No
Step-by-step explanation:
no because 8*3 is not equal to 18
if my answer helps please mark as brainliest.
Use the polling tool to respond to the question below.
Gina typed 2,700 words. She types 45 words per minute. How long did she type for?
HELP PLZZ
Answer:
She typed for 60 minutes (1 hour).
Step-by-step explanation:
Do 2,700 divided by 45 to get your answer.
2,700 ÷ 45 = 60
She typed for 60 minutes (1 hour).
Maricela has a 32 ounce drink. She drink 8 ounces. What is the percent of ounces Maricela left from the drink
Answer:
The percent she has left in the drink is 75%
Step-by-step explanation:
1 minus [tex]\frac{8}{32}[/tex] equals [tex]\frac{24}{32}[/tex] which simplifies to [tex]\frac{3}{4}[/tex] or 75%.
HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?
Answer:
50%
Step-by-step explanation:
T
f
]
1.2073 PUQ.No. 14 बाबु र छोराको अहिलेको उमेरको योगफल
60 वर्ष छ। यदि दुबै जना जीवित रहेको समयमा अहिलेको
बाबुको उमेर बराबर छोराको उमेर हुँदा दुबै जनाको उमेरको
योगफल 120 वर्ष हुन्छ भने तिनीहरूको अहिलेको उमेर पत्ता
लगाउनुहोस् । (The sum of the present ages of a father
and his son is 60 years. If they both live until the son
becomes as old as the father is now, the sum of their
ages will be 120 years, then find their present ages.)
Answer:
Present age
Son: 15
Father: 45
Step-by-step explanation:
Remark
Thank you for the translation. Without it, the problem would be impossible -- at least for me.
Givens
Let the present age of the father = x
Let the present age of the son = y
Solution
x + y = 60
How many years will pass? You could say it's z.
x + z = y When z years pass, the son will be his father's present age.
x + z + y + z = 120 when z is added to both their current ages, the result is 120 Collect like terms
x + y + 2z = 120
x + y = 60 Subtract The very first equation
2z = 60 Divide by 2
z = 60/2 30 years have passed.
z = 30
x + z = y
x + 30 = y Substitute x + 30 for the present y value (the father).
x + x + 30 = 60
2x = 30
x = 15
x + y = 60
15 + y = 60
y = 60 - 15
y = 45
So the son's age right now is 15
The father's age right now is 45
Which of these represents the equation of a line that passes through the points (-5, -4) and (3, 8)?
A
3
y = x +
7
2
B.
y = {
C
2
3
С
y = ſa +6
y= 3x - 22
D
2
NEED HELP WITH GEOMETRY
Answer:
1. 37
2. 50
3. 50
4. 40
Step-by-step explanation:
hope I helped!!
The summer sports training camp has a maximum capacity of 250 students. If 85 have preregistered, then how many students can still participate? Write and solve an inequality.
9/5 -(-6/10) please helppppppppppppppp0pppppp
Answer:
[tex]\frac{12}{5}[/tex]
An account worth $6,000 is earning 7% simple interest annually. How
much is the loan worth after 20 years?
PLEASE HELPPP with this problem THANK YOUU!!!
Find the Coordinates of the midpoint MN with endpoints M (-2, 6) and N (8,0)
Midpoint formula:
[tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]
So,
(-2 + 8 / 2 , 6 + 0 / 2)
(6 / 2 , 6 / 2)
(3, 3)
Midpoint coordinate: (3, 3)
Which of the following is NOT an inverse operation?
1.) Square Root and Squaring
2.) Addition and Multiplication
3.) Subtraction and Addition
4.) Multiplication and Division
show that
[a+x]ⁿ=aⁿ[1+×/a]ⁿ, a≠0
Answer:
[tex]Proof~that~(a+x)^n=a^n(1+\frac{x}{a})^n\\R.H.S. = a^n(1+\frac{x}{a})^n = [a(1+\frac{x}{a})]^n [a^nb^n=(ab)^n] \\~~~~~~~~~~~= (a+x)^n =L.H.S. ~proved[/tex]
Last week, a pharmacy sold a bottle of shampoo for $5.00. This week, the shampoo sells for $6.50. By what percent did price increase?
how would we find the original price if we know the sale price and the % of savings?
Answer:1.5 i think i dont know the second question tho
If you can help please do it’s urgent
Answer:
-108
Step-by-step explanation:
PEMDAS
Multiply 2 x -3 = -6
-6 to the 3 power (-6 x -6 x -6) is -108
A team has won 51 out of 68 games. Explain how to
use the bar diagram to find the percent of games the
team has won
Answer:
you would divide -> 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
Answer:Divide 51/68 and you would get .75. move the 2 first numbers after the dot to the front and you get 75%
Step-by-step explanation:
What times what equals -40 and add to make -3
Answer:
-8 and 5
Step-by-step explanation:
-8 × 5 = -40
-8 + 5 = -3
I don’t understand this so can I get help
Answer:
Your image is cut off, can you provide a better one so I can try to answer it?
Step-by-step explanation:
Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter
Answer:
21.8cm is the required answer
Step-by-step explanation:
The measurement of the third side of the triangle is 22 cm
What is sine law?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,
Finding angle A
180°-(75°+31.8°) = 73.2°
Now, using the sine law,
Sin 73.2° / a = Sin 75° / 22
a = 21.80
a ≈ 22
Hence, the measurement of the third side of the triangle is 22 cm
Learn more about sine law, click;
https://brainly.com/question/17289163
#SPJ7
To multiply 4 x 5 3/8, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be ____ and the fraction would be ___ eighths. Each of these parts are then ___ ___. Pls tell me the answer pls!
Answer:
Step-by-step explanation:
To multiply 4×5⅜, the mixed number can be broken down into a whole number and a fraction. In this case, that whole number would be 5 and the fraction would be three-eighths. Each of these parts are then multiplied by 4 and the products are added together.
4×5⅜ = 4×(5+⅜)
= 4×5 + 4×⅜
= 20 + 3/2
= 20 + 1½
= 21½
Divide.
25 ) 7253
A. 190 r3
B. 190
C. 193
O D. 290 r3
I’m really confused.
Answer:
d
Step-by-step explanation:
when using a calc. it comes out to 290.18, convert that to a remainder to get d; 290r3
please mark brainliest, need it for a new rank t y s m in advance
Please help me to complete the impact on equity
Please answer
Answer:
Equity is same as equility it is for making students fools.
Step-by-step explanation:
Equity=Equality
