Answer:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
Step-by-step explanation:
From the information provided, you can say that the total cost to watch the movies would be equal to the one-time fee plus the result of multiplying the price per movie for the number of movies you watch, which can be expressed as:
C=6.85+2.99m, where:
C is the total cost to watch the movies
m is the number of movies you watch
Jean worked 47 hours last week and was paid $527. How much was she paid per hour?
Answer:
11.2127659574
Step-by-step explanation:
Answer:
$11.21 per hour.
Step-by-step explanation:
Divide the pay by the hours worked and round to the nearest tenth.
527/ 47 = 11.21276596 then round to 11.21
Eight percent of all college graduates hired by companies stay with the same company for more than five years. The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is /-0.0001
Answer:
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they stay for the same company for more than five years, or they do not. Graduates are independent. This means that 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.
Eight percent of all college graduates hired by companies stay with the same company for more than five years.
This means that [tex]p = 0.08[/tex]
Sample of 11 college graduates:
This means that [tex]n = 11[/tex]
The probability, rounded to four decimal places, that in a random sample of 11 such college graduates hired recently by companies, exactly 2 will stay with the same company for more than five years is: the absolute tolerance is +-0.0001
The tolerance means that the answer is rounded to four decimal places.
The probability is P(X = 2). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{11,2}.(0.08)^{2}.(0.92)^{11} = 0.1662[/tex]
0.1662 = 16.62% probability that exactly 2 will stay with the same company for more than five years
what is 47 ÷ 12 1/3 =
Answer: 47/363
(Decimal: 0.129477)
7. An equilateral triangle has sides of length 6.2cm, correct to the nearest millimetre.
Complete the statement about the perimeter, Pcm, of the triangle.
The Arc Electronic Company had an income of 59 million dollars last year. Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars. If incomes for this industry are distributed normally, what is the probability that a randomly selected firm will earn more than Arc did last year
Answer:
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Suppose the mean income of firms in the same industry as Arc for a year is 45 million dollars with a standard deviation of 7 million dollars
This means that [tex]\mu = 45, \sigma = 7[/tex]
What is the probability that a randomly selected firm will earn more than Arc did last year?
Arc earned 59 million, so this is 1 subtracted by the pvalue of Z when X = 59.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59 - 45}{7}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
0.0228 = 2.28% probability that a randomly selected firm will earn more than Arc did last year
what is the mean of the ages of the dance instructors?
IM GIVING BRAINLIEST‼️
Answer:
the answer to this is 25
Answer: 25
To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.
Hope this helped you!
WILL MARK!! pls help:)
Find x and y so that ABCD will be a parallelogram.
Answer:
your answer will be B. 46
Step-by-step explanation:
hope it helps you...
have a great day!!!
there are 65 cookies in a jar. the probability of randomly choosing an oatmeal cookie from the jar is 40% how many of the cookies are oatmeal cookies pls help
Answer:
25
Step-by-step explanation:
Use the slope formula to find the slope of the line through the points (2,1) and (8,7)
Answer:
m = 1
Step-by-step explanation:
(2,1) and (8,7)
m = (y2-y1)/(x2-x1)
m=(7-1)/(8-2)
m=6/6
m = 1
What is the product?
(**(3x2-2) (4x2 +5x)
.
O 12x + 15x8 - 8x8 - 10x5
O
12x24 + 15x12 - 8x8 - 10x4
O 12x9-10x5
O 12x24 - 10x4
The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
What is Multiplication?
Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
To learn more about Multiplication of Expressions, click :
https://brainly.com/question/29052794
#SPJ7
A line with a slope of 0 passes through the point (9,5). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 5
Step-by-step explanation:
Any line with a slope of 0 is horizontal, represented by the equation y = a number. That number is the y-value of all the points the line intersects.
We know that that the line intersects (9,5). So, take the y-value of that point and write it into the equation of y = a number. Thus, the answer is y =5.
Oi please help me it’s to hard
Help me plsss first person with the right answer gets Brainliest
Answer:
D
Step-by-step explanation:
Have a nice day!
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:
Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)
2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0
Determine the optimal solution using LP software. the optimal achieved is
X1=
X2=
X3=
Answer:
Step-by-step explanation:
[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]
[tex]2X1 + 1X2 + 7X3 <= 96[/tex]
[tex]8X1 + 4X2 + 1X3 <= 90[/tex]
[tex]X1 > = 0[/tex]
[tex]X2 >= 0[/tex]
[tex]X3 >=0[/tex]
[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?
Solve for n:5*8^3n+1=80
Answer:
8^(3n+1) = 80/5
8^(3n+1) = 16
(2^3)^(3n+1) = 2^4
2^(3*(3n+1) = 2^4
Having same power so;
9n+3 = 4
9n = 4-3
9n = 1
n = 1/9
I’ll give points and brainalist for answer / explanation
Answer:
B. 48 cm²Step-by-step explanation:
The area between the concentric circles:
A = π(R² - r²)If we tale π ≈ 3, we know R = 5 cm, we see r = R - 2 = 5 - 2 = 3 cm, then
A = 3(5² - 3²) = 3(16) = 48 cm²Correct choice is B
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
please help me!!!!!!!!!!!!
Answer:
C. and D. are correct
Step-by-step explanation:
I solved all of them
A would be 0.5 not 2
B would be 2.5 not 2
E would be 0.5 not 2
hope this helps <3
-4x - 18 = 46
need help
Answer:
x=−16
Step-by-step explanation:
−4x−18=46
Add 18 to both sides
−4x−18+18=46+18
−4x=64
Divide both sides by -4
-4x/4=64/-4
x=−16
Answer:
x= -16
Step-by-step explanation:
Let's solve your equation step-by-step.
−4x − 18 = 46
Step 1: Add 18 to both sides.
−4x − 18 + 18 = 46 + 18
−4x = 64
Step 2: Divide both sides by -4.
−4x / −4 = 64 / -4
x=−16
Hope it helps T-T
HELP MEEE!
Find the area and volume for both.
Answer:
Step-by-step explanation:
3.
area of one triangular face = ½×16×30 = 240 in²
area of base = 30×9 = 270 in²
area of diagonal face = 34×9 = 306 in²
area of vertical face = 16×9 = 144 in²
surface area = 2×240 + 270 + 306 + 144 = 1,200 in²
volume = 240×9 = 2,160 in³
:::::
4.
area of one triangular face = ½×10×10.5 = 52.5 ft²
area of base = 10.5×6 = 270 ft²
area of diagonal face = 14.5×6 = 87 ft²
area of vertical face = 10×6 = 60 ft²
surface area = 522 ft²
volume = 52.5×6 = 315 ft³
A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Total surface area of the prism?
Answer:
the total surface area of the prism is 245.67
Step-by-step explanation:
Given;
height of the triangular prism, h = 8
length of the triangular bases, = 7, 8, and 9
The total surface area of the prism is calculated as;
T.S.A = ph + 2B
Where;
p is the perimeter of the base
B is area of the base
P = 7 + 8 + 9 = 24
Area of the base can be calculated using Hero's formula;
[tex]S = \frac{7+8+9}{2} = 12\\\\Base \ area (B) = \sqrt{12(12-7)(12-8)(12-9)} = 26.833[/tex]
T.S.A = (24 x 8) + 2 x 26.833
T.S.A = 192 + 53.666
T.S.A = 245.67
Therefore, the total surface area of the prism is 245.67
What is the horizontal asymptote of the function g(x)= 3(0.8)^x +6
A quantity who values do not change is called a
A) Variable
B) Pattern
C) Constant
D) Algebraic expression
Answer:
C) constant
Step-by-step explanation:
it would be a constant ! you can remember this by thinking of the meaning of the word constant; consistent. it does not change, constantly. i hope that helped some :)
PLS HELP 2772288282 PlsPLA PLASS
Step-by-step explanation:
I think it'S right......
Five family members are going to a play. A service charge of $2 is added to the cost of each ticket. The family is willing to pay $250 or less for the five tickets. What is the greatest amount the family is willing to pay for each ticket? PLEASEE HELPPP ME
250 ÷5 = 50
$50
Hope this helps!
What is the value of x in this equation: 4x+5=3x+4
Pls hurry I need an instant answer ASAP! Thank you
Answer:
A= -2
Step-by-step explanation:
Hope I helped!! Negitive 2
The vertices of APQR are P(-3, 8) Q(-6,-4), and R(1, 1). If you reflect APQR across the x-axis, what will be the coordinates of the vertices of the image AP'Q'R'?
Answer:(-3,-8),(-6,4),(1,-1)
Step-by-step explanation:
Given
Vertices of the triangle are
[tex]P(-3,8), Q(-6,-4),R(1,1)[/tex]
Coordinates (a,b) when reflected about x-axis is given as (a,-b) i.e. Y coordinate changes its sign
[tex]\therefore P\rightarrow P'(-3,-8)\\\Rightarrow Q\rightarrow Q'(-6,4)\\\Rightarrow R\rightarrow R'(1,-1)[/tex]
Lamar buys 0.8 gallon of gas to use in the lawnmower the price of the gas is 2.95$ per gallon how much does Lamar play for the gas
Answer:$2.36
Step-by-step explanation:
2.95 x .8 = 2.36
