Answer:
The answer is "[tex]\frac{5}{3}[/tex]"
Step-by-step explanation:
[tex]A_n={\frac{13}{5},\frac{18}{8},\frac{23}{11},\frac{28}{14},\frac{33}{17},..................\frac{8+5n}{2+3n}}\\\\[/tex]
[tex]\to A_n=\frac{8+5n}{2+3n}\\\\\to \lim_{n \to \infty} A_n = \lim_{n \to \infty} \ \frac{8+5n}{2+3n}= \lim_{n \to \infty} \ \frac{\frac{8}{n}+5}{\frac{2}{n}+3}=\frac{0+5}{0+3}=\frac{5}{3}[/tex]
In this sequence An is convergents where limits are [tex]\frac{5}{3}[/tex].
Thirty percent of credit card holders carry no monthly balance, while 70% do. Of those card holders carrying a balance, 30% have annual income $20,000 or less, 40% between $20,001 - $50,000, and 30% over $50,000. Of those card holders carrying no balance, 20%, 30%, and 50% have annual incomes in these three respective categories.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Answer:
a) 0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) 0.778 = 77.8% probability that (s)he carries a balance
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a) What is the probability that a randomly chosen card holder has annual income $20,000 or less?
20% of 30%(carry no balance).
30% of 70%(carry balance). So
[tex]P = 0.2*0.3 + 0.3*0.7 = 0.06 + 0.21 = 0.27[/tex]
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less.
b) If this card holder has an annual income that is $20,000 or less, what is the probability that (s)he carries a balance?
Conditional probability.
Event A: Annual income of $20,000 or less.
Event B: Carries a balance.
0.27 = 27% probability that a randomly chosen card holder has annual income $20,000 or less
This means that [tex]P(A) = 0.27[/tex]
Probability of a income of $20,000 or less and balance.
30% of 70%, so:
[tex]P(A \cap B) = 0.3*0.7 = 0.21[/tex]
The probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21}{0.27} = 0.778[/tex]
0.778 = 77.8% probability that (s)he carries a balance
A convex polyhedron has 18 edges and 4 more vertices than faces. How many faces does the polyhedron have?
Euler’s formula: V + F = E + 2
8
12
14
16
Answer:
8 faces
Step-by-step explanation:
F = # faces
4 + F + F = 18 + 2
2F + 4 = 20
2F = 16
F = 8
Answer:
8
Step-by-step explanation:
got it right on test
What is the answer to this problem?
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
Please see attached pic
Answer:
D is the correct answer.
Step-by-step explanation:
-Subtract final value by start value
-Divide by start value
-Multiply by 100
Answer:
33%
Step-by-step explanation:
Examine the figure of two parallel lines cut by a transversal.
What is the value of x?
Answer:
50
Step-by-step explanation:
2x+10+2x-30=180
4x-20=180
4x=200
x=50
Answer:
2x-30+2x+10=180[sum of angle of co interior angle is supplementary]
4x=180+20
x=200/4=50
x=50
Complete this table. FRACTION DECIMAL PERCENT 3. (a) 0.6 (b) (99) 4. (a) (b) 5% (99)
Answer:
for number 3 fraction is ⅗ and percentage is 60%
for number 4 the fraction is 1/20 and the decimal is 0.05
Step-by-step explanation:
hope it will help
should I show the working?
Explain whether we would rather have the solution to 3x=7 expressed as a fraction or as a repeating decimal.
Choose the correct answer below.
A.It depends on the context. In most situations, is preferred as a solution. However, when talking about the unit price, we might prefer $2.33 or $2.34 as a solution.
B. The repeating decimal 2.3 is preferred as a solution under any circumstances.
C.The fraction 7/3 is preferred as a solution in every situation.
D. Both 7/3 and 2.3 repeating decimal are preferred as solutions because they are equivalent.
Answer:
A
Step-by-step explanation:
While fractions are more exact, it will always depend on the scenario. You aren't going to give the amount of money something is as a fraction, that will always be a decimal. However, in most math circumstances, fractions can get more straight to the point since there is no such thing as a truly repeating fraction.
Please help !
Find a.
Round to the nearest tenth:
27 cm
102
28
a = [? ]cm
Law of Sines: sin A
sin C
sin B
b
a
A=?
Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,
[tex]m\angle B=28^\circ[/tex]
[tex]m\angle C=102^\circ[/tex]
[tex]b=27\ cm[/tex]
Using angle sum property of triangles, we get
[tex]m\angle A+m\angle B+m\angle C=180^\circ[/tex]
[tex]m\angle A+28^\circ+102^\circ=180^\circ[/tex]
[tex]m\angle A=180^\circ-28^\circ-102^\circ[/tex]
[tex]m\angle A=50^\circ[/tex]
According to the Law of Sines:
[tex]\dfrac{\sin A}{a}=\dfrac{\sin B}{b}[/tex]
[tex]\dfrac{\sin 50^\circ }{a}=\dfrac{\sin 28^\circ }{27}[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]\dfrac{27\times \sin 50^\circ }{\sin 28^\circ}=a[/tex]
[tex]a\approx 44.06[/tex]
Therefore, the value of a is about 44.06 cm.
Lila plans to open an account with a deposit of $12,000. She plans to invest the money for 8 years in one of the following accounts:
An account that pays an annual simple interest of 7.5%, or
An account that pays 6% interest compounded annually.
If Lila invests in the account that will earn her more interest over these 8 years, how much interest will she earn?
9514 1404 393
Answer:
$7200
Step-by-step explanation:
The amount of simple interest can be found from ...
I = Prt . . . . . . . where principal P is invested at annual rate r for t years
__
The amount of compound interest can be found from ...
I = P((1 +r)^t -1) . . . . . same variable definitions
__
The amount of simple interest earned is ...
I = 12000·0.075·8 = 7200
The amount of compound interest earned is ...
I = 12000(1.06^8 -1) ≈ 7126.18
In this scenario, the simple interest account earns more interest. If Lila chooses that one, the amount of interest earned is $7200.
Find the median for this data set:
23, 34, 35, 37, 41, 43, 43
The median is
Answer:
37
Step-by-step explanation:
37
A triangle has base angles of 52.5 degrees each. What is the measurement of the third angle?
Answer:
75 degrees
Step-by-step explanation:
52.5+52.5= 105. 180-105= 75 degrees.
The Answer is 75 degrees
If x plus 3/4 = 1, then which point on the number line could be x?
Answer:
[tex]x = \frac{1}{4}[/tex]
Step-by-step explanation:
Step 1: Subtract [tex]\frac{3}{4}[/tex] from 1
[tex]1 - \frac{3}{4}\\\\= \frac{1}{4}[/tex]
Therefore, the point could be [tex]\frac{1}{4}[/tex]
I need help please. I need the the discount and selling price. Thank you
Mr. Shand had $59.75 in his bank account, but then he bought some new ties and some pancakes. After the purchase, he was in debt $75.10. Which of the following rational numbers best shows the change in Mr. Shand’s account balance?
STEP BY STEP EXPLINATION PLEASE!
Answer:
Ok so first he bought the road and pancakes with means he speant 134.85 dollars which mean he out himself in the negatives after he bought the his items
apples are bought by a fruit shop for 25 cents each and resold for 33
cents each ? what is the selling price
Answer:
8 cents
Step-by-step explanation:
i'm going to assume you mean the value the store gets from selling the apples
33 - 25 =8
Solve this simultaneous equation x+2y=11
x-2y=1
Answer:
Equation 1,
[tex]x + 2y = 11[/tex]
Equation 2,
[tex]x - 2y = 11[/tex]
Take equation number 2.
[tex]x - 2y = 11 \\ x = 11 + 2y[/tex]
Substitute 'x' in Equation number 1.
[tex]x + 2y = 11 \\ 11 + 2y + 2y = 11 \\ 11 + 4y = 11 \\ 4y = 11 - 11 \\ 4y = 0 \\ y = \frac{0}{4} \\ y = 0[/tex]
y = 0.
So x,
[tex]x = 11 - 2y \\ x = 11 - 2(0) \\ x = 11 - 0 \\ x = 11[/tex]
x = 11.
Answer:
using elimination method multiply both equations by 2...then subtract equation 2 from 1
Which situation can be represented by -85+85 choose all that apply
Nathan bought 12 books for a total of $60. At this rate, what is the cost of 4 books?
I NEED THIS SOON PLEASE I'M BEGGING!!!!!
Answer:
$20
Step-by-step explanation:
divide 60÷12 =5 gives the cost of one book
multiply 5×4=20
I FOUND ANOTHER SCAMMER!!!
they're everywhere now
Answer:
wow okay. I just want points tbh
Which property does this represent: (19 x 5) x 2 = 19 x (5 x 2)
Answer:
Associative Property of Multiplication
Step-by-step explanation:
The associative property of multiplication means that no matter where you put the parenthesis in the equation, the answer will remain the same.
Hope this helps! :)
what is the midpoint of the line segment with endpoints(-5.5,-6.1) and (-0.5,9.1)?
Answer:
Formula = (x1+x2 , y1+y2)
2. 2
Step-by-step explanation:
(-5.5 -0.5. ,-6.1+9.1)
2. 2
(-6. 3 )
2 , 2
m= (-3, 3 )
2
PLEASEE, i’ve been struggling with this for a long time. What base and height should I use guys?! Pls dont you dare to scam me or you get a report
Ima mark brainliest ;-;
Answer:
3 height
7 Base
Look at the image, HELP PLEASE.
Answer:
1/2
Step-by-step explanation:
Well, First let us find the amount of numbers in a die greater than 3.
Remember greater than 3 does not include 3.
We have 3 numbers, 4,5,6 that are greater than 3.
The probabilty of getting a rolling a number greater than 3 is 3/6.
The probability of the coin landing on heads is 1/2.
BUT, the problem is only requiring for you to find the probabilty of rolling a dice greater than 3. (key words)
Which is 3/6 or simplified to 1/2.
Which expression below has the same value as
6
9?
Which expression below has the same value as
6
9?
Answer:
answer is c no because 9 power six so, we have to write 9 number 6 times
PLZ GIVE BE BRAINLIEST ANS+THANKS :(
Answer:
C,
Step-by-step explanation:
Hey there the answer is C 9x9x9x9x9x9 i did it 6 times because the exponent was 6
Please help if your good at area!! This is math btw
20 points
Answer:
AI = 3.25in
IH = 4.2in
Area = 23.025in
Step-by-step explanation:
the length of AI =CD+EF+GH
AI=1.3+0.75+1.2 INCH
AI=3.25 INCHES
the length of IH= 9 INCH - 4.8 INCH
=4.2 INCH
THE AREA OF THE VISIBLE SIDE OF THE MODEL = AI+IH+GH+GF+EF+DE+CD+AB+BC
3.25+4.2+1.2+4.8+0.75+4.8+1.3+2.8875+2.8875 INCH
=26.075
PLZ GIVE ME BRAINLIEST+THANKS
ACCEPT MY EFFORT :(
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answer:
the answer is 78.5 square units i think
Step-by-step explanation:
Answer:78.5 square units.
Explanation:
Which phrase is a description of 7t-3?
What is 2÷5/12?(pls help i rly dont wanna go to summer school)
Answer:
4.8
Step-by-step explanation:
Answer:
0.033 is the answer.
Step-by-step explanation:
2/5=0.4
0.4/12=0.033
Have a nice day!
PLS HELP WILL GIVE BRAINLESS
Given 4 < a < 5, 2 < b < 4 Find: a / b
Answer:
I hope this helps!
Step-by-step explanation:
4<a<5
2<b<4 multiply
4x2 < axb < 5x4
8<ab < 20
Answer:
1<a/b<2.5
Step-by-step explanation:
bro you're gonna give me brainless ://
We are given 4<a<5 and 2<b<4 and are asked to find a/b.
Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.
For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).
Given these extremes, we can now rewrite the inequality.
(smallest value)<a/b<(largest value)
1<a/b<2.5
The smaller arrow is a scale drawing of the larger arrow. What percent of the area of the larger arrow is the area of
Answer:
the answer is 43%
Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer