Answer: B
Step-by-step explanation:
it has to do with simallar mathematics of 12th grade so you can do the sum
its pretty ez cuz im a 12th grader
What is the coefficient of the 7th term of (3x² - 2)14?
13492928512 is the last term (7th term )of binomial expansion of the given expression so therefore it has no coefficient .
What is binomial expansion ?The binomial theorem is a way to bring the formulation to a finite power.
The binomial theorem is a effective extension device with packages in algebra, probability, and more. A binomial is an algebraic expression containing wonderful terms.
Calculationit has been attached below b'coz' that was not possible to type here
hope that image is clear .
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Linda estimates the number of questions she answered correctly on a test. She answered 8 correctly with probability 0.6, 15 correctly with probability 0.3, and 20 correctly with probability 0.1. What is the expected value of the number of questions Linda answered correctly?
Linda' number of questions has an expected value of 11.3
How to determine the expected value of number of questions?The given parameters in the question are:
8 questions with probability 0.6,
15 questions with probability 0.3
20 questions with probability 0.1
The expected value is then calculated as
E(x) = Sum of (number of questions * probability)
Substitute the known values in the above equation, so, we have the following representation
E(x) = 8 * 0.6 + 15 * 0.3 + 20 * 0.1
Evaluate
E(x) = 11.3
Hence, the expected value is 11.3
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A plumber who is just starting out offers low rates to attract new customers. He charges $35 to visit a client's home, plus an additional $20 per hour. If the plumber charges a customer $45 for a visit, how long was it?
If the plumber charges a customer $45 , then the visit was 0.5 hours long .
In the question ,
it is given that
the fixed charge to visit a client's home is = $35
additional per hour charge of plumber is = $20 .
let the time taken by plumber in the customer house be "x" .
So , according to the question
the equation for total charge is
total charge = 35 + 20x
given the customer paid $45 ,
So , 45 = 35 + 20x
20x = 45 - 35
20x = 10
x = 10/20 = 0.5
Therefore , If the plumber charges a customer $45 , then the visit was 0.5 hours long .
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The temperature went from 13o C at 3PM to -5o C at midnight that evening.
Which statement best describes the rate of change of the temperature
during this period of time?
The rate of change of the temperature on the time interval is -2°C. This means that, in average, for each hour that passes the temperature decreases by 2 degrees Celcius.
What is the rate of change on the temperature?A rate of change is defined as the quotient between the difference in some measure (in this case it will be the difference between the final temperature and the initial temperature) and the time interval in which it happens.
Here we know that:
final temperature = -5°C
Initial temperature = 13°C
And this change goes from 3 P.M. to midnight, so the change happens on an interval of 9 hours.
Then the rate of change of the temperature is:
r = (-5°C - 13°C)/9h = -2°C/h
So for each hour, the temperature decreases by 2°C.
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-4x=76 x equals _-____________________________________________________________________________________________________________________________________________________________--
The value of x in the equation -4x = 76 is 19.
What is equation?The equals sign is used in equations to indicate the equality of two expressions in a formula.
Given:
-4x = 76,
-x = 76 / 4,
x = -19
Therefore, the value of x in the equation -4x = 76 is 19.
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Students in two classrooms were given a mathematics test. The first classroom had 25 students and their average score was 86%. The second classroom had 15 students and their average score was 94%. If the teacher combined the test scores of students in both classes, what is the average score for both classes?
Answer:
Step-by-step explanation:
For f(x)=3x+18, what is the value of x for which f(x) =21
a. x=2
b. x=5
c. x=1
d. x=-1
Answer:
I believe the answer is C
Step-by-step explanation:
a. would = 24b. would = 33c. would = 21d. would = 15 :)Need help with This also
Answer:
Step-by-step explanation:
8.5 inches divided by 2 = 4.25 inches which is the base of the triangle with a height of 5.8 inches. Area of that triangle is 1/2 x base x height = 1/2 x 4.25 inches x 5.8 inches = 12.325 inches squared. Two of the triangles make 1 full isoceles triangle= 2 x 12.325 inches squared = 24.65 inces squared. But there are 5 isoceles triangles in a pentagon, so 5 times 24.65 inches squared = 123.25 inches squared.
ASAP
10 yellow, 6 green, 9 orange, and 5 red cards facedown. Once a card selected, NOT replaced.
a. P(two cards that are not orange)
b. P(two cards that are neither red nor green)
The probability of selecting two cards that are not orange, is 0.483 and the probability of selecting two cards that are not red and green, is 0.393.
In the given question we have to find the probability.
From the question it is given that,
10 yellow, 6 green, 9 orange, and 5 red cards facedown.
Total number of cards = 10+6+9+5
Total number of cards = 30
Once a card selected, NOT replaced.
a.) Now finding the probability of selecting two cards that are not orange.
There are total orange cards = 9
The number of cards except orange card = 21
Then the probability of selecting one card except orange = 21/30
Then the probability of selecting other card except orange = 20/29
Then the probability of selecting two cards that are not orange is
P(O) = 21/30 * 20/29
P(O) = 420/870
P(O) = 0.483
Then the probability of selecting two cards that are not orange, is 0.483.
(b) Now finding the probability of selecting two cards that are neither red nor green.
The total number of cards except red and green card = 19
Then the probability of selecting one card except red and green card = 19/30
Then the probability of selecting other card except red and green card = 18/29
Then the probability of selecting two cards that are not red and green card is
P(RG) = 19/30 * 18/29
P(RG) = 342/870
P(RG) = 0.393
Then the probability of selecting two cards that are not red and green, is 0.393.
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Calculate: (Round your final answers to the nearest cent.) Units Unit Cost Beg. Inventory Jan. 1 20 $ 8.00 May 10 15 $ 11.00 June 30 17 $ 20.00 Dec. 10 12 $ 21.00 24 units not sold LIFO FIFO Weighted-Average Cost of Ending Inventory A C E Cost of Goods Sold B D F
1. The Cost of Ending Inventory and the Cost of Goods Sold under LIFO, FIFO, and Weighted-Average, are as follows:
LIFO FIFO Weighted-Average
Ending inventory $425 $691 $573
Cost of goods sold $492 $226 $344
How do the inventory methods differ?FIFO (First-in, First-out) assumes that the physical flow of goods sold follows the chronological order of acquisition.
LIFO (Last-in, First-out) assumes that the cost of goods sold should be based on the latest inventory purchases.
The weighted-average method uses the average cost of goods to compute the ending inventory and the cost of goods sold.
LIFO:
Ending inventory = $425 ($917 - $492)
Cost of goods sold = $492 (12 x $20 + 12 x $21)
FIFO:
Ending inventory = $691 (9 x $11 + 17 x $20 + 12 x $21)
Cost of goods sold = $226 ($917 - $691)
Weighted Average:
Ending inventory = $573 (40 x $14.33)
Cost of goods sold = $344 (24 x $14.33)
Inventory Table:Units Unit Cost Total Cost
Jan. 1 Beg. Inventory 20 $8.00 $160
May 10 Purchases 15 $11.00 $165
June 30 Purchases 17 $20.00 $340
Dec. 10 Purchases 12 $21.00 $252
Total 64 $917
Units sold 24
Ending inventory 40 (64 - 24)
Average cost = $14.33 ($917/64)
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Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
According to the question,
We have the following information:
The perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
Now, the expressions for the width and length of the rectangle are given below:
Width = x units
Length = (x+4) units
We know that the following formula is used to find the perimeter of rectangle:
2(length+width) < 122
2(x+4+x) < 122
2(2x+4) < 122
Dividing by 2 on both sides:
2x+4 < 122/2
2x+4 < 61
Subtracting 4 from both sides:
2x < 61-4
2x < 57
Dividing by 2 on both sides:
x < 57/2
x < 28.6
Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
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