Step-by-step explanation:
Divergence Test: use this when the limit as n approaches infinity of a sequence isn't 0.
If lim(n→∞) an ≠ 0, then an diverges.
(Note this only tests divergence, not convergence.)
P Test: use this when the series is a p-series.
For an = 1 / nᵖ, if p > 1, then the series converges. Otherwise, it diverges.
Geometric Test: use this when the series is a geometric series.
For an = a₁ (r)ⁿ, if -1 < r < 1, then the series converges. Otherwise, it diverges.
Integral Test: use this when the sequence can be easily integrated.
If ∫₁°° f(x) dx converges, then ∑₁°° f(n) converges.
If ∫₁°° f(x) dx diverges, then ∑₁°° f(n) diverges.
Comparison Test: use this when a sequence is similar to a p-series or a geometric series.
If bn > an and bn converges, then an converges.
If bn < an and bn diverges, then an diverges.
Otherwise, inconclusive.
Limit Comparison Test: use this when comparison test is inconclusive.
If an ≥ 0 and bn > 0, and lim(n→∞) an/bn > 0 and finite, then an and bn either both converge or both diverge.
Alternating Series Test: use this when the series is alternating. This usually includes (-1)ⁿ or (-1)ⁿ⁺¹, but might use trig functions instead.
If an = (-1)ⁿ bn or (-1)ⁿ⁺¹ bn, where bn ≥ 0, and if lim(n→∞) bn = 0, and bn is decreasing, then an converges.
(Notice this only tests for convergence, not divergence.)
Which of the following results in the expression 0.22 ⋅ 86?
22 of 86%
22% of 86
86% of 0.22
0.86 of 22%
I need help plows pleasee!!
What is 3(4p - 2) + 2 (5p + 2)
Answer:
p=1
Step-by-step explanation:
3(4p-2) +2(5p+2)
12p-6 + 10p + 4
12p-10p= 2p
6-4=2
2/2=1
The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?
Answer:
Expected Score (No Negative Marking) = 135 points
Expected Score (with penalty) = 130 points
Step-by-step explanation:
First we find no. of true false answered correctly:
True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)
True/False Correct = (25)(0.8)
True/False Correct = 20
Now, for points scored from true/false:
True/False Score = (True/False Correct)(Points for 1 True/False)
True/False Score = (20)(2)
True/False Score = 40 points
Now, we find no. of mcqs answered correctly:
MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)
MCQs Correct = (35)(0.75)
MCQs Correct = 26.25 = 26
Now, for points scored from MCQs:
MCQ Score = (MCQs Correct)(Points for 1 MCQ)
MCQ Score = (26)(1)
MCQ Score = 26 points
Now, we find no. of fill in the blanks answered correctly:
Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)
Fill in the blanks Correct = (35)(0.65)
True/False Correct = 22.75 = 23
Now, for points scored from true/false:
Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)
Fill in the blanks Score = (23)(3)
Fill in the blanks Score = 69 points
So, the expected total score will be:
Expected Score = 40 points + 26 points + 69 points
Expected Score = 135 points
IN CASE OF PENALTY:
We know that:
Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5
Therefore,
Total Penalty = (Incorrect True/False)(Penalty on one)
Total Penalty = (5)(- 1 points)
Total Penalty = - 5 points
Now, expected score will be;
Expected Score (with penalty) = 135 points - 5 points
Expected Score (with penalty) = 130 points
Solve by Elimination:
4x + 8y = 20
-4x + 2y = 10
(-1,3)
(3,4)
(3,-1)
(4,3)
Answer:
(-1,3)
Step-by-step explanation:
Elimination makes solving for the system of equations much easier if it is the faster route. In this case, it is already done for you, and no multiplication is required.
First, we want to eliminate the x values completely because they are opposites and therefore cancel out. Next, you want to add the y-values and sum (20 and 10) so that you get the new equation [tex]10y=30[/tex]. To isolate you need to divide by 10 on each side which will give you [tex]y=3[/tex].
Now that you have your y-value, you can plug in your value to either of the equations and find what x is. I will use the equation 4x + 8y = 20 to solve for x. We first want to substitute in our y-value so that we get [tex]4x+8(3)=20[/tex] which is simplified to [tex]4x+24=20[/tex] now subtract by 24 on both sides to get 4x by itself to get [tex]4x=-4[/tex]. Lastly, isolate x by dividing by 4 on each side to get [tex]x=-1[/tex]
Find the constant of proportionality (unit rate) for each set of values
profit per shirt sold
shirts: 5 10 15
profit: $7.50 $15.00 22.50
Answer: 1.5
Step-by-step explanation:
7.50/5 = 1.5
15/10 = 1.5
22.50/15 = 1.5
Answer:
$1.50
Step-by-step explanation:
To find the unit rate, we can divide the number of shirts to the profit that was made to find the unit cost per shirt.
7.50 / 5 = $1.50
15 / 10 = $1.50
22.50 / 15 = $1.50
Best of Luck!
Why is this number not in scientific notation?
36.5 x 10 6
1. Sebastian lived in France and Canada for a total of 21 months in order to learn French. He learned an average of
150 words per month when he lived in France, and an average of 210 words per month when he lived in Canada. In
total he leamed a total of 3,450 new words.
How long did Sebastian live in France? How Long did he Live in Canada?
Answer:
Step-by-step explanation:
He took 21 months in total.
150 per month in France and 210 per month in Canada
So, He learned in France in 10 months and canada in 11 months
WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.
Answer:
34%
Step-by-step explanation:
Because out of all ripe fruits is 85% of 5692000.
The line that passes through the points (3,0) and (-5,8) is
A.)Decreasing
B.)Increasing
C.)Horizontal
D.)Vertical
Multiply (−4)(−2)(−5)
A −40
B -8
C 8
D 40
Answer: A. -40
Step-by-step explanation:
-4 x -2 equals 8, 8 times -5 equals -40
Any negative number times another negative number equal a positive number. That number would be 8, but then you multiply 8 which is a possitive number by -5 which is a negative number you would get a negative number again (-40). Is it a trick question or something?
pls help skakakakakakkaakakakakakakakakak
Step-by-step explanation:
slope= -1/2
y intercept= 2
y=mx+b
m is the slope and b is the y intercept.
9514 1404 393
Answer:
slope: -1/2y-intercept: 2Step-by-step explanation:
The slope-intercept form of the equation for a line is ...
y = mx + b
where m represents the slope, and b represents the y-intercept. To find the slope and y-intercept of your equation, compare it to this form. Matching the patterns, you see that ...
m = -1/2
b = 2
The slope is -1/2; the y-intercept is 2.
__
The graph can be made by locating the y-intercept at y=2 on the y-axis. Then locate another point that is over 2 and down 1* from the y-intercept. The coordinates of that point will be (2, 1). Draw the line through those two points.
_____
* The slope is often described as "rise"/"run", that is, the vertical change (rise) divided by the corresponding horizontal change (run). A slope of -1/2 means the "rise" is -1 units (down 1) while the corresponding "run" is 2 units (to the right).
how do you right
0.125 as a whole number
Step-by-step explanation:
divide 1 by 0.1 to 5 and this will tell you what you need to multiply it by in order to make 0.125
1/0.125=8
thus : 8 *0.125 =1
What is 15% of 90?
O 13.5
O 6
O 600
Answer:
13.5
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
What number is 15% of 90?
The calculated percentage of the number 15% of 90 would be 13.5.
If this helps please mark brainliest.
Bill hikes 8 miles in 3 hours. At this rate. how many miles will he hike after 2 hours?
Answer:
5 1/3 miles
Step-by-step explanation:
We can use a ratio to solve
8 miles x miles
------------ = --------
3 hours 2 hours
Using cross products
8*2 = 3x
16 = 3x
Divide by 3
16/3 = 3x/3
5 1/3 miles =x
Answer: [tex]5 \frac{1}{3}[/tex] miles
For the rate of 8 miles in 3 hours, you divide.
For the rate of - miles in 2 hours, multiply.
8 x 2 = 3x
16 = 3x
Now, we have to divide by 3x by 3.
3x divided by 3 = 5 1/3
Answer = 5 1/3
The transformation function rule (x, y) --> (x - 1, y) is an example of which type of transformation?
Answer:
translation
Step-by-step explanation:
because it's only being moved left by one unit
7 is 10 times the value of what number
Answer:
0.7
Step-by-step explanation:
7/10=0.7
10.2 is 21.25% of what number?
Answer: 48
Step-by-step explanation: Using proportions
48 is the number whose 21.5 percent is 10.2 .
What is percentage?
A percentage is a number or ratio that can be expressed as a fraction of 100.
How to convert a percentage into a number?Divide the given percentage by hundred to convert it into a number.
Let x be a number whose 21.5% is 10.2.
Therefore,
[tex]\frac{21.25}{100} (x) = 10.2[/tex]
⇒ [tex]21.25x = 10.2(100)[/tex]
⇒[tex]21.25x = 1020[/tex]
⇒[tex]x = \frac{1020}{21.25}[/tex]
⇒[tex]x = 48[/tex]
Hence, 48 is the number whose 21.5 percent is 10.2.
Find out more about percentage here:
https://brainly.com/question/13450942
#SPJ2
Please help being timed for test !
Last week's and this week's low temperatures are shown in the table below.
Low Temperatures for 5 Days This Week and Last Week
Low Temperatures
This Week (F)
4 10 6 9
Low Temperatures
Last Week (OF)
13 9 5 8
6
5
Which measures of center or variability are greater than 5 degrees? Select three choices
the mean of this week's temperatures
the mean of last week's temperatures
the range of this week's temperatures
the mean absolute deviation of this week's temperatures
the mean absolute deviation of last week's temperatures
Answer:
I think it B or C but hope I can help :)
Step-by-step explanation:
3. Which ordered pair is a solution of the equation y = x – 2? (1 point) (3, 1) (1, 3) (–1, 3) (3, –1)
Elijah's father is 47. He is 17 years older than twice Elijah's age. How old is Elijah?
Answer:
let Elijah age be a
Then
2*a + 17 =47
2a=47-17
2a=30
a=15
Step-by-step explanation:
Help ASAP
Find the sum (-3x + 7) + (2x - 5).
Answer:
-x + 2
Step-by-step explanation:
how do i do this! pls help ASAP, and pls show work too!
Answer:
a = (g +b)/cx = (u +2)/2Step-by-step explanation:
Find the variable in the expression and see what has been done to it. Here, 'a' has been multiplied by c, and b has been subtracted from the product. Undo those operations in reverse order.
Undo the subtraction of b by adding b to both sides.
g +b = ca -b +b
g +b = ca . . . . . note b is no longer subtracted from the product
Undo the multiplication by dividing both sides by c.
(g +b)/c = (ca)/c
(g +b)/c = a
a = (g +b)/c
__
The second problem is worked exactly the same way.
u = 2x -2
u +2 = 2x . . . . . add 2 to both sides
(u +2)/2 = x . . . . divide both sides by 2
x = (u +2)/2
what is 3 3/8 times 4 1/3?
A. 7 1/8
B. 12 1/8
C. 14 3/8
D. 14 5/8
Answer:
14.625
Step-by-step explanation:
Consider the graph of function f below.
The function g is a transformation of f. If g has a y-intercept at -1, which of the following functions could represent g?
A. g(x) = f(x) + 4
B. g(x) = f(x) - 1
C. g(x) = f(x + 4)
D. g(x) = f(x - 1)
How would I go about solving this?
Answer:
is10 wififklwldlfosos
which is the best estimate for the number of times the coin will land up 10 20 50 80 100
solve for y
2/3+y -1/9=7/9
Answer: y = 2/9
..............................
which equation is equivalent to ax+b=c
Answer: b = c-ax
hope this helps:)
Answer:
ax + b = c is Standard Form
Step-by-step explanation:
The model below is used to represent the area of a
square with a side length of /64 units.
Answer:
8
Step-by-step explanation:
Because you can count the squares on the side or you can just do the square root of 64.
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
Answer: 2/5 = 40%
Step-by-step explanation: 2/5 5 (divided) by 25 = 40%
Answer:
40%
2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%
