Answer: 3
Step-by-step explanation:
Solve the inequality. m/-5 < or = 4
Answer:
M < or = -20
Step-by-step explanation:
Brainlist please
A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period; it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.
Required:
a. What is the probability that a battery will break down during the warranty period?
b. What is the expected profit of the auto store on a battery?
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?
Answer:
a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.
b) The expected profit of the auto store on a battery is of $15.239.
c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.
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.
The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.
This means that [tex]\mu = 40, \sigma = 16[/tex]
a. What is the probability that a battery will break down during the warranty period?
Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{24 - 40}{16}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587.
0.1587 = 15.87% probability that a battery will break down during the warranty period.
b. What is the expected profit of the auto store on a battery?
1 - 0.1587 = 0.8413 probability of a profit of $20.
0.1587 probability of a loss of $10. So
[tex]E = 0.8413*20 - 0.1587*10 = 15.239[/tex]
The expected profit of the auto store on a battery is of $15.239.
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?
Multiplying the average for a battery by 500. So
15.239*500 = $7,619.50
The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.
What is the surface area of the tent?
Answer:
i think the answer is 105.96
PLEASE SOMEONE HELP ME WITH THE MATH!!! It's on the picture!!!
N is to the left of the zero which means it is a negative number.
P is the the right of zero which means it is a positive number.
A negative number is less than a positive number, so the answer would be:
The number with the least value is N
The number with the greatest value is P
Blood type AB is found in only 3% of the population.† If 345 people are chosen at random, find the probability of the following. (Use the normal approximation.
Answer:
345 times 0.03 = 10.35 but we cant have 0.35 of a person so it is 10 people
Step-by-step explanation:
round 36 to the nearest hundredth. for the brainiest
36 to the nearest hundredth is just 36
To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36
Answer:
Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.
Step-by-step explanation:
Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.
A large number may be rounded off to the nearest 10.
Hope It Helps!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
∠GHJ and ∠FEC
Step-by-step explanation:
Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.
∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.
∠GHJ is on the lower left side.
∠FEC is on the upper right side.
Last one!!!hdbsjsbsjdsnsjsn
Answer:
Option c is correct
Step-by-step explanation:
Hope it helps✌
Answer:
9.4
3rd option
The boats are 9.4 units apart.
The Lemonade War is a book with 14 chapters. Each chapter
represents a
of the book. *
quarter
half
fraction
O third
please help me i really need help please i really need help please
Answer:
(-1,-2)
Step-by-step explanation:
For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).
So since C is originally (-2,1), it's new coordinates are (-1,-2)
Please help me with this question!! I also need the steps
Hi there!
[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]
We are given:
cos(7x)cos(4x) = -1 - sin(7x)sin(4x)
Begin by moving all terms with variables to one side:
cos(7x)cos(4x) + sin(7x)sin(4x) = -1
The corresponding trig identity is cos(A - B). Thus:
cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1
cos(3x) = -1
cos = -1 at π, so:
3x = π
x = π/3
We can also find another solution. Let 3π = -1:
3x = 3π
x = π
Thus, solutions on [0, 2π) are π/3 and π.
Find the volume of the cylinder.
Answer:
160pi
Step-by-step explanation:
the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi
Find the area of the shaded region
Answer:
Step-by-step explanation:
Area of the Shaded region = area of the Trapezoid - Area of the triangle
Area of the Trapezoid
b1 = 14
b2 = 26
h = 15
Area = (b1 + b2 ) * h / 2
Area = (14 + 26) * 15/2
Area = 40 * 15/2
Area = 300 in^2
Area of the triangle
Area = 1/2 b * h
b = 26
h = 15 - 6
h = 9
Area = 1/2 * 26 * 9
Area = 117 in^2
Area of the shaded region
Area of the shaded region = 300 - 117
Area of shaded region = 183
What are the zeros of x^3 + 16x^2 + 60x? What are their multiplicities?
2
X - 4 = 0
X = +2
0
4
. Duke's photography pays $9 for a 5x7 photograph.
If the photograph is sold for $15, what is the
percent of markup based on cost?
Answer:
the markup percentage is 66.67%
Step-by-step explanation:
The computation of the percent of markup based on cost is shown below:
= (Selling price - paid price) ÷ (paid price)
= ($15 - $9) ÷ ($9)
= 66.67%
By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup
Hence, the markup percentage is 66.67%
look at pic 10 pts will mark brainilest
Answer:
C) It will not change
Hope this helps! :)
A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the ca A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the car
Answer:
45.3 miles/h
Step-by-step explanation:
let 'x' be the speed of the car.
60 × 2/3 = 120/3 = 40
30 × 1/5 = 151/5
151/5 /40 = x / 60
151 / 200 = x / 60
=> x = (151×60) / 200
=> x = 45.3
(hope this helps can i plz have brainlist :D hehe)
pleaseeeeee help me out quickkk solve for x
Answer:
x = 27.2
Step-by-step explanation:
Apply trigonometric function to solve for x.
Reference angle = 54°
Side length opposite to reference angle = 22
Hypotenuse = x
We would apply SOH:
Sin 54 = Opp/Hyp
Sin 54 = 22/x
x*sin 54 = 22
x = 22/sin 54
x = 27.1934955 ≈ 27.2 (nearest tenth)
I need the value of Y
9514 1404 393
Answer:
y = 6
Step-by-step explanation:
Let's call the marked angles A, B, C, clockwise from upper left.
Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.
A+90 = C
4x +90 = 11x -8
98 = 7x
14 = x
Then angle A is ...
A = 4x° = 4(14)° = 56°
__
Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.
A = B
56° = (9y +2)°
54 = 9y
6 = y
The value of y is 6.
Somone PLEASE answer this thanks!
A movie complex is showing the same movie in three theaters. In theater A, 44 of the 80 seats are taken. In theater B, 42 seats are taken and 28 seats are empty. In theater C, 27 of the 90 seats are empty. Which theater has the greatest percent of its seats taken? Which theater has the greatest of its seats taken ?
Answer:
Theater C
Step-by-step explanation:
Theater A has 80 seats, 44 of which are taken. 44/80 can be simplified to 11/20, which is 0.55 in decimal form, and 55% in percent form.
Theater B has 70 seats, because 42+28 = 70. 42 of those 70 seats are taken. 42/70 is 60%
Theater C has 90 seats, and because 27 are empty, we can subtract 27 from 90, which leaves us at 63 seats are taken. 63/70 is 70%
70% is the biggest percentage, so Theater C has the greatest seats taken.
I hope this helps! :))
What is the area of the triangle?
Answer:
45
Step-by-step explanation:
9x10/2=45
What is the equation of the line that has a slope of -3 and goes through the point (3, -1)?
Answer:
y = -3x + 8
Step-by-step explanation:
plug in the slope of -3 and the point (3, -1) into the equation: y = ax + b to find b. (the slope of -3 = a)
=> -1 = 3(-3) + b
=> b = 8
plug in b= 8 & the slope of -3 into the equation: y = ax + b
=> y = -3x + 8
Which of the following is the function representing the graph below?
a. f(x) = 4x
b. f(x) = 4x − 3
c. f(x) = 4x + 3
d. f(x) = 4(x + 3)
Answer:
d. f(x) = 4(x + 3)
Need help please!!!!!
The amount of a radioactive isotope decays in half every year. The amount of the isotope can be modeled by f(x) = 346(one half)x and f(1) = 173. What does the 173 represent?
9514 1404 393
Answer:
f(1) = 173 = the amount remaining after 1 year
Step-by-step explanation:
The function definition tells you f(x) is the amount of the isotope remaining after x years. Then ...
f(1) = 173 = the amount remaining after 1 year
__
(no units are given, so we don't know if that is 173 nanograms, or 173 truck loads)
show that f(x)=x^3 and g(x)=200x^3 grow at the same rate
Answer:
Following are the response to these question:
Step-by-step explanation:
[tex]\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\[/tex]
[tex]\to \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)[/tex] grows at the same rate.
ILL MARK BRAINLIEST!!! Someone just help!! Anyone!!
Answer:
The last one because all of those numbers are included in the table.
6.) Anne takes out an $8,000 loan to buy a car. She chooses the 8 year loan and will pay $120.55 per month. What is the total repayment on the loan?
A.$11,572.80
B.$9.644.00
C.$6,272.00
D. $23,145.60
I NEED HELP FAST THANK YOU
Answer:
D
Step-by-step explanation:
Click on the median of this part of the data
Answer:
7
Step-by-step explanation:
Which of the following could be a function with zeros of —3 and 2? А f(x) = (x - 3)(x + 2) B f(x) = (x = 3)(x - 2) © f(x) = (x+3)(x - 2) D f(x) = (x+3)(x + 2)
Answer:
C
Step-by-step explanation:
to find the zeros you look at what value you would fill in for x to make zero, so (x+3) would have a zero of -3 and (x-2) would have a zero of 2