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
28800000, 1440000, 72000, 3600, 180, ...
Answer: I'm confused. What are you asking here?
Step-by-step explanation:
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].
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
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
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]
what 2 answers are these?! x^2−5x−8=0
Answer:
sorry look question at once and comment
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.
find the value of x
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
10g of Copper reacts with 5g of Sulfur
Write the ratio of Copper to Sulphur
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
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.
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
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:
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:
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!
What’s the volume of a cylinder with a base of 25 and height of 6
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:
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
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.
Convert 7% as a decimal
Answer:
0.07
Step-by-step explanation:
7/100
Answer:
it would be .07 i believe
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:
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
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.
What is the value of sin(48) ? Use a calculator and round to the nearest tenth
Answer:
0.743
:))))))))))))))
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
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
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
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.
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
