Answer:
[tex]P(x = 1) = 0.10[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{ccccc}x & {1} & {2} & {3} & {4} \ \\ P(x) & {0.10} & {0.30} & {0.40} & {0.20} \ \ \end{array}[/tex]
Required
Determine the probability of selling exactly 1 batch
This probability is represented with [tex]P(x = 1)[/tex]
From the table:
When x = 1; P(x) = 0.10
Hence:
[tex]P(x = 1) = 0.10[/tex]
In other words, the probability of selling exactly 1 is 0.10
The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the firm has and p is the profit.
1. Find the maximum profit made by the company.
2. How many clients are necessary to reach the profit outlined in part one?
Answer:
[tex]5144[/tex]
[tex]12[/tex]
Step-by-step explanation:
The function [tex]p=x^2-24x+5000[/tex] is incorrect as its roots are imaginary [tex]b^2-4ac=576-4\times 5000=-19424<0[/tex].
So, the correct function is
[tex]p=-x^2+24x+5000[/tex]
Differentiating with respect to [tex]x[/tex] we get
[tex]p'=-2x+24[/tex]
Equating with zero
[tex]0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12[/tex]
Double derivative of the function
[tex]p''=-2<0[/tex]
So, the function is maximum at [tex]x=12[/tex]
Maximum profit is
[tex]p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144[/tex]
The maximum profit made by the company is [tex]5144[/tex]
The number of clients required to make the maximum profit is [tex]12[/tex].
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answer:
0.743
:))))))))))))))
Answer fast...Show work on both
Answer:
A) 14.3606 ft
B) 2.8112 seconds
Step-by-step explanation:
A) At maximum height which is its peak, the velocity will be zero.
Now, we are given height modeled by;
h(t) = 4.98t² - 14t + 20
v(t) = dh/dt = 9.96t - 14.
At max height which is v(t) = 0, we have;
9.96t - 14 = 0
9.96t = 14
t = 14/9.96
t = 1.4056 s
Thus, height at this time is;
h(1.4056) = 4.98(1.4056)² - 14(1.4056) + 20
h(1.4056) = 14.3606 ft
B) time of flight = 2 × time to get to peak = 2 × 1.4056 = 2.8112 seconds.
the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.
Answer:
9 cm
Step-by-step explanation:
Answer:
it is 9 cm because 9 x 8 is 72
Step-by-step explanation:
Brandon has a jar of quarters and dimes with a total value of $7.85. The number of quarters is 7 less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answer:
dimes=8
quarters=12
Step-by-step explanation:
the total value 380 cents
28800000, 1440000, 72000, 3600, 180, ...
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
Your class is in groups, working on a combinatorics worksheet. One of the questions asks how many possible ways 5 books out of a box of 12 can be placed on a shelf. Your classmate suggests you calculate 12C5, which is 792. What would you say to explain how this suggestion is flawed, and how would you help correct them
Answer: 95040
Step-by-step explanation:
It is important to note that selection and arrangement are two different things in permutation and combination study. In the scenario above, we have 12 books, out of which 5 is to be arranged on a shelf. The answer prescribed by 12C5 which gives 792, only solves the selection process of choosing 5 books from a total of 12. Every 5 books picked will also have to be arranged on the shelf which is solved as n!(number of ways of arranging n different objects)
Hence, to arrange 5 books from a total of 12 books on a book shelf is
nCr * r!
12C5 * 5!
792 * 120
= 95040
what 2 answers are these?! x^2−5x−8=0
Answer:
sorry look question at once and comment
In a particular library, 18% of the books are children's books, 53% of the books are adult fictions, and the rest are adult non-fiction
You choose one book at random. What is the probability that it is an adult non-fiction book ?
Answer:
29%
Step-by-step explanation:
You add the 18 and 53 then subtract by 100 to receive your answer
Answer:
29%
Step-by-step explanation:
You add the percentages of the other categories (18 - children, 53 - adult fiction) then subtract from 100.
Convert 7% as a decimal
Answer:
0.07
Step-by-step explanation:
7/100
Answer:
it would be .07 i believe
Which of the following is the graph of the function y = (x – 3)2 – 2?
Answer: I’m pretty sure it’s graph A
Step-by-step explanation:
Answer:
D, Last graph
Step-by-step explanation:
After test review, it revealed the answer, but the answer's D. Sorry for the poor explanation!
of the last 60 people who went to the cash register at the department store, 16 had blomd hair, 20 had black hair, and 3 had red hair. determine the empirical probability the next person will have brown hair
Answer: 20
Step-by-step explanation:
Answer: Plz don't come for me if its wrong but I think the answer is 21
Step-by-step explanation: Because there are 60 people in all and 16 had blond hair, 20 had black hair and 3 had red hair and 60-16-20-3=39 then you have to take 60-39 and you get 21
A sample prepared for a chemical measurement is completed correctly by 21% of the lab technicians, completed with minor error by 70% and completed with a major error by 9%. Round your answers to three decimal places (e.g. 98.765).(a) If a technician is selected randomly to complete the preparation, what is the probability it is completed without error?(b) What is the probability that it is completed with either a minor or major error?
Answer:
0.210 ; 0.790
Step-by-step explanation:
Given that:
Percentage of correct completion by technician = 21%
Percentage of minor error = 70%
Major error in chemical measurement of sample = 9%
A.) probability that a randomly selected technician completes preparation without error:
This is equal to the percentage of correct completion by technicians :
P(correct completion) = 21% = 0.210
B.) probability that it is completed with either a minor or major error :
P(completion with minor error) + P(completion with major error)
= 70% + 9%
= 0.70 + 0.09
= 0.790
You wash dishes for a chemistry laboratory to make extra money for laundry. You earn 12 dollars/hour, and each shift lasts 75 minutes. Your laundry requires 12 quarters/load.Part AHow many shifts must you work if you wish to wash 10 loads of laundry
Answer:
2 shifts
Step-by-step explanation:
Amount earned washes dishes = 12 dollars / hour
Shift duration = 75 minutes
Cost of laundry = 12 quarters per load
Cost of 10 loads of laundry = (10 * 12 quarters) = 120 quarters
1 quarter = 25 cents
120 quarters = (25 * 120) = 3000 cents
100 cents = $1
3000 cents = 3000/ 100 = $30
Hence, to make $30 from washing dishes :
$12 = 1 hour
$30 = x
x = 30 / 12
x = 2.5 hours
1 shift lasts 75 minutes
2.5 hours = (2.5 * 60) = 150 minutes
150 / 75 = 2 shifts
Which equation represents the function shown on the graph? y = x y = x y = 2x y = 4x
Answer:
The correct answer is y=4x
Step-by-step explanation:
please help!! i’m stuck and i’ll give brainliest but i need an explanation for the answer
9514 1404 393
Answer:
-12
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is defined as ...
average rate of change = ((f(b) -f(a))/(b -a)
For the given function and interval, this is ...
average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)
= (4 -10)/(0.5) = -12
The average rate of change is -12 on the interval.
__
The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.
Please answer quickly Thank You
Answer:
A. $ 46
B. 12 people.
Step-by-step explanation:
From the question given above, we obtained the following:
C(x) = 6.5x + 20
Where:
C => total cost of bowling
x => number of people
A. Determination of the of bowling for 4 people.
Number of people (x) = 4
Total cost (C) of bowling =?
C(x) = 6.5x + 20
C(4) = 6.5(4) + 20
C(4) = 26 + 20
C(4) = $ 46
Thus, it will cost $ 46 for 4 people to bowl
B. Determination of the number of people that can bowl for $ 98.
Total cost (C) of bowling = $ 98
Number of people (x) =?
C(x) = 6.5x + 20
98 = 6.5x + 20
Collect like terms
98 – 20 = 6.5x
78 = 6.5x
Divide both side by 6.5
x = 78 / 6.5
x = 12
Thus, 12 people can bowl for $ 98.
Snowflake the snowman wants to buy new scarves if each scarf cost $4.27 how much did snowflake spend if he buys 5
Answer:
21.35
Step-by-step explanation:
4.27 * 5 i hope this is one of your answers
Find the Indicated term of the sequence by repeatedly multiplying the first term by the common ratio.Use a calculator.
2-10,50, 6th term
The 6th term of the sequence is____
Answer: -6250
Step-by-step explanation: The common ratio is -5. By multiplying the terms by this ratio, the sixth term is -6250.
The circumference of a circle is 137 m. Find its diameter, in meters.
Step-by-step explanation:
[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]
Tell whether x and y show direct variation. Explain your reasoning. 2x = 3y
Answer:
YES: direct variation
Step-by-step explanation:
2x = 3y is equivalent to y = (2/3)x, which has the form of a proportional relationship (direct variation) y = kx. YES
calculate the pay for the following day of a weekly time card given a wage of $16/hr
Answer:
24x16x7
Step-by-step explanation:
Answer:
$2,688 a week
Step-by-step explanation:
16 x 7 x 24 would be 2,688
10g of Copper reacts with 5g of Sulfur
Write the ratio of Copper to Sulphur
find the value of x
The concession stand at a football game sells hot dogs and drinks. It costs $4.25 for 2 hot dogs and 1 drink. It costs $7.00 for 3 hot dogs and 2 drinks. Which of the following systems of equations can be solved to determine the cost, h, of each hot dog and the cost, d, of each drink
Answer:
h = $1.50
d = $1.25
Step-by-step explanation:
$1.50 + $1.50 = $3 + $1.25 = $4.25
$1.50 + $1.50 + $1.50 = $4.50 + $1.25 + $1.25 = $7
Answer:
2h + 1d = 4.25
3h + 2d = 7.00
Step-by-step explanation:
-3(2h + 1d) = -3(4.25)
2 (3h + 2d) = 2(7.00)
-6h - 3d = -12.25
6h + 4d = 14
if we add them together we get D = 1.75
Checking:
2h + 1(1.75) = 4.25
2h + 1.75 = 4.25
2h = 2.5
h = 1.25
1.25 times 2 plus 1.75 = 4.25
What’s the volume of a cylinder with a base of 25 and height of 6
An airplane is heading due south with an airspeed of 196 miles per hour (mph). A wind from a direction of
N 58°E is blowing at 14 mph. Determine the bearing of the airplane by computing the magnitude and
direction of the resultant vector. Round the angle to the nearest degree.
(A)S 88°W
(B) S 87W
(C)S 2º W
(D)S 3W
Answer:
d
Step-by-step explanation:
pls help 20 points I just need an explanation
Answer:
i=prt
i = 1,000 x 0.045 x 1.5
Step-by-step explanation:
X-4<5 I don’t get that
Answer:
x<9
Step-by-step explanation:
so first you add 4 to both sides,
then it is x<9 right?
WELL THAT'S THE ANSWER :)
pls give me brainliest
ˆ
THEY ARE CORRECT
GIVE THEM BRAINLIST BEFORE THIS GETS DELETED
Factor the trinomial below COMPLETELY
5x^2 - 20x + 60
Answer:
± [tex]\sqrt{-800}[/tex] / 2 or ±800i
Step-by-step explanation:
there are no rational roots because the square root of a negative
i got the answer by using the quadratic formula: (-b ±√b2 - 4ac) /2a
