Answer:
2.54
Step-by-step explanation:
10.08/4 = 2.54
How do you do this question?
Answer:
9 · 2⁹
(-½, ½)
Step-by-step explanation:
The nth term of the original power series is 2ⁿ xⁿ.
Therefore, the nth term of the derived power series is:
d/dx (2ⁿ xⁿ) = n · 2ⁿ xⁿ⁻¹
When n=9, the term is 9 · 2⁹ x⁸.
Use ratio test:
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│((n+1) · 2ⁿ⁺¹ xⁿ) / (n · 2ⁿ xⁿ⁻¹)│
lim(n→∞)│(n+1) · 2x / n│
2│x│
The series converges when the limit is less than 1.
2│x│< 1
│x│< ½
-½ < x < ½
Check the endpoints.
If x = -½, the series is ∑ n · 2ⁿ (-½)ⁿ⁻¹ = ∑ -2n · (-1)ⁿ, which diverges.
If x = ½, the series is ∑ n · 2ⁿ (½)ⁿ⁻¹ = ∑ 2n, which diverges.
So the interval of convergence is (-½, ½).
Difference of 9p3q2 and 13p3q2
Help pleaseee !!!!!!
PLEASE HELP! BEST ANSWER MARKED AS BRAINLIEST!!!!!!!!!!!!!!!!!!!
What is the least common multiple of 4, 12, and 15?
Answer:
60
Step-by-step explanation:
4*15=60=12*5
An internet provider states that the technician will arrive between 2 and 3 PM. What is the probability that the technician will arrive at 2:45 or later?
Find the inverse of the matrix:
A =
4 2
3 2
Step 1: Calculate the determinant:
Answer:
The answers are correct.
Step-by-step explanation:
Please rate the answer and like it if it helped.
What is the slope of the line shown on the graph?
Answer: 2/4
Step-by-step explanation:
Rise=2
Run=4
Rise/Run(2/4)
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (2, 0) ← 2 points on the line
m = [tex]\frac{0+1}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
A major airline knows that about 2 percent of passengers do not manage to show up for their flight. Consider a small aircraft having 50 seats, and suppose that an airline sells precisely 50 tickets for a specific flight. Assuming that all passsengers are independent and have the same probability of not showing up, compute the probability that
Answer:
a. The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
Step-by-step explanation:
From the given information:
We are to compute the probability that:
a. The aircraft is fully occupied( i.e. all the passengers show up)
b. Between 1 and 5 (including 1 and 5) passengers do not show up
Given that:
Percentage of passengers that do not show up = 2% = 0.02
And the population of the passengers = 50; since 50 tickets are being sold for a specific flight.
Let assume X be the random variable that follows a binomial distribution, thus, the number of passengers from the aircraft with 50 passengers can be represented as:
[tex]X \sim Bin (n = 50, p =0.02)[/tex]
Thus;
The probability that the aircraft is fully occupied i.e. all the passengers show up is:
[tex]= (1 - 0.02)^{50}[/tex]
= 0.98⁵⁰
= 0.3642
Hence, The probability that the aircraft is fully occupied = 0.3642
b. The probability that between 1 and 5 (including 1 and 5) passengers do not show up is:
= P(X = 1) + P(X =2) + P(X = 3) + P(X = 4) + P(X = 5)
= [tex]=(^{50}_1) 0.02(1-0.02)^{50-1} +(^{50}_2) 0.02(1-0.02)^{50-2} + (^{50}_3) 0.02(1-0.02)^{50-3} + ... + (^{50}_5) 0.02(1-0.02)^{50-5}[/tex]
[tex]=(^{50}_1) 0.02(0.98)^{49} +(^{50}_2) 0.02(0.98)^{48} + (^{50}_3) 0.02(0.98)^{47} + ... + (^{50}_5) 0.02(0.98)^{45}[/tex]
= 0.6354
Hence, The probability that between 1 and 5 (including 1 and 5) passengers do not show up is = 0.6354
-9(x - 3) = 9(x - 7)
Answer:
x = 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
-9x+27=9x-63
-18x=-90
x=5
Step-by-step explanation:
Find each percent decrease.Round to the nearest percent.
Answer:
7. 33%
6. 75%
8. 67%
Step-by-step explanation:
5. 80-15=65
65/85=0.8125 => 81%
6. 100-25= 75
75/100= 0.75=> 75%
7. 60-40=20
20/60=0.333333=>33%
8. 39-13=26
26/39=0.666666667=67%
SOMEONE HELP ME LOL
Answer:
y=3x+1
Step-by-step explanation:
This table represents values of a cubic polynomial function.
х
у
-2 -12
-1
0
0
6
1
7.5
2
6
3
3
Based on the information in the table, which sentence best describes the interval (-2, 1);
OA.
О В.
The function is decreasing on the interval (-2, 1).
The function is constant on the interval (-2, 1)
The function is both increasing and decreasing on the interval (-2, 1].
The function is increasing on the interval (-2, 1).
Ос.
D.
Answer:
the comment thread on this question is a mess, so the correct answer is INCREASING
Step-by-step explanation:
The function is both increasing and decreasing on the interval [-2, 1]
How to describe the function?The complete question is added as an attachment
The interval is given as:
[-2, 1]
From the table of values, we have:
x y
-2 12
-1 0
0 6
1 7.5
The y values decrease from 12 to 0 and then increase to 7.5 through 6.
This means that the function is both increasing and decreasing on the interval [-2, 1]
Hence, the true statement is (c)
Read more about function interval at:
https://brainly.com/question/1600302
#SPJ9
Decide whether a line with the given slope m=7/6 slants upward or downward from left to right, or whether its horizontal or vertical
What’s 4/9z - 3/9z + 5 - 5/9z - 8
Answer:
=−4/9z−3
Step-by-step explanation:
4
9
z−
3
9
z+5−
5
9
z−8
=
4
9
z+
−1
3
z+5+
−5
9
z+−8
Combine Like Terms:
=
4
9
z+
−1/3
z+5+
−5
9
z+−8
=(4/9z+−1/3z+−5/9z)+(5+−8)
Please help with this question
Answer:
$8.25 is the answer.
Step-by-step explanation:
Answer:
8.25
Good luck!
Use the distributive property to express 24 + 36. *
O. 3 (8 + 13)
O. 6 (4 +5)
O. 12 (1 + 4)
O. 12 (2 + 3)
Answer:
12(1 + 4) AND 12(2 + 3) are the correct answers.
Step-by-step explanation:
24 + 36 = 60
12(1 + 4)=
12(5) = 60
12(2 + 3)
12(5) = 60
Hope this helps and pls do mark me brainliest if you can:)
A Christmas tree is supported by a wire that is 9 meters longer than the height of the tree. The wire is anchored at a point whose distance from the base of the tree is 41 meters shorter than the height of the tree. What is the height of the tree
Answer:
The height of the tree is 80 meters.
Step-by-step explanation:
Let the height of the Christmas tree be x meters.
Then the length of the wire will be, (x + 9) meters.
And the wire will (x - 41) meters away from the base of the tree.
Consider the diagram below.
Use Pythagoras theorem to solve for x as follows:
[tex]AB^{2}=AC^{2}+CB^{2}[/tex]
[tex](x+9)^{2}=x^{2}+(x-41)^{2}\\\\x^{2}+18x+81=x^{2}+x^{2}-82x+1681\\\\x^{2}-100x+1600=0\\\\x^{2} -80x-20x+1600=0\\\\x(x-80)-20(x-80)=0\\\\(x-80)(x-20)=0[/tex]
The value of x is either 80 or 20.
If x = 20, then the base CB will be -21. This is not possible as length is always positive.
Thus, the value of x is 80.
Hence, the height of the tree is 80 meters.
Round the weight of one dose to the nearest gram
Answer:
whats the weights?
Step-by-step explanation:
What is the complete factorization of the polynomial below?
x3 + 9x2 + 26x + 24
A. (x+3)(x+3)(x + 1)
B. (X + 8)(x+3)(x + 1)
C. (x+6)(x + 2)(x + 2)
D. (x + 4)(x+3)(x + 2)
Answer:
D) (x + 4)(x+3)(x+2)
Step-by-step explanation:
Used synthetic division to find factors.
the histograms below summarize the average travel time to work for random samples of 70 workers in the los angeles area and 61 workers in thr new york city area.
a) briefly compare the distribution of travel times for these two regions
b) suppose you wanted to make the point that typical travel time is longer in the new york city area than in the los angeles area. which measure of center would you use? justify your answer
Answer:
A) There are more workers in the L.A area that take up to 20 minutes to get to their job.
B)40 minutes or more.
Step-by-step explanation:
Even though the graph from the New York area is more well distributed, you can see a clear increase in the number of cases above 40 minutes in the New York area compared to the Los Angeles, which are probable around 3o workes, while in the New York Area graph those travel times are reserved for more than half of the workers that were interviewed, so we can assure that workers from the New York Area spend more time traveling to their jobs.
The Lakeside Marina charges a $35 rental fee for a boat in addition to charging $15 per hour. What is the cost of a rental for 3 hours? Show your work.
Answer:
80
Step-by-step explanation:
35 + 15x
x=3
15. 3 =45
45+35=80
What value goes in cell B?
Answer:
A. 27
B. 125
C. 857 [tex]\frac{3}{8}[/tex]
D. s³
Step-by-step explanation:
The volume of the cube = side × side × side = (side)³
Let us use this rule to complete the table
A.
∵ The side length of the cube = 3 units
∴ Its volume = 3 × 3 × 3 = 3³
∴ Its volume = 27 unit³
B.
∵ The side length of the cube = 5 units
∴ Its volume = 5 × 5 × 5 = 5³
∴ Its volume = 125 unit³
C.
∵ The side length of the cube = 9[tex]\frac{1}{2}[/tex] units
∴ Its volume = 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] × 9[tex]\frac{1}{2}[/tex] = (9[tex]\frac{1}{2}[/tex])³
∴ Its volume = 857 [tex]\frac{3}{8}[/tex] unit³
D.
∵ The side length of the cube = s units
∴ Its volume = s × s × s = s³
∴ Its volume = s³ unit³
PLS HELP ME, I WILL GIVE BRAINLEIST!
solve for x 3=15x Simplify your answer as much as possible.
Answer:
x=1/5
Step-by-step explanation:
what is the quotient 6x^4-8x^2 divided by 2x^2, where x does not equal 0?
Answer:
3x^2 - 4
Step-by-step explanation:
6x^4 - 8x^2 ÷ 2x^2
= 3x^2 - 4
PLEASE HELP ILL GIVE YOU BRAINLIEST I REALLY NEEW THE ANSWER
Answer:
i need more info
Step-by-step explanation:
Answer:
exact form is 31/50
decimal form 0.62
Step-by-step explanation:
Question 4 If 5 pounds of oranges costs $11.55, how much would it cost for 12 pounds of oranges?
Answer:
4.8125
Step-by-step explanation:
divide 5 by 12 then multiply 11.55
Greeks bucked a global trend in which people in most countries expect their lives in five years to be better than their current lives. Even among those countries with much lower currrent life ratings, greater optimism was found because people cannot fathom their lives getting worse. But in Greece, only 25% expect their lives to be better in five years. In a simple random sample of 1100 Greek citizens, what is the probability that less than 27 percent of the sample expect their lives to be better in five years?
Answer:
The value is [tex]P( p < 0.27 ) = 0.67792[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p= 0.25
The sample size is n = 100
Generally given that the sample size is sufficiently large n > 30 , the mean of this sampling distribution is mathematically represented as
[tex]\mu_{x} = p = 0.25[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{ \frac{ p(1 - p)}{n} }[/tex]
=> [tex]\sigma = \sqrt{ \frac{ 0.25 (1 - 0.25 )}{100} }[/tex]
=> [tex]\sigma = 0.0433[/tex]
Generally the probability that less than 27 percent (0.27)of the sample expect their lives to be better in five year is mathematically represented as
[tex]P( p < 0.27 ) = P( \frac{ p - \mu_{x}}{\sigma} < \frac{0.27 - 0.25 }{ 0.0433} )[/tex]
[tex]\frac{p -\mu}{\sigma } = Z (The \ standardized \ value\ of \ p )[/tex]
=> [tex]P( p < 0.27 ) = P( Z< 0.4619 )[/tex]
From the z table the area under the normal curve to the left corresponding to 0.4619 is
[tex]P( Z< 0.4619 ) = 0.67792[/tex]
[tex]P( p < 0.27 ) = 0.67792[/tex]
(3) 4 is 80% of what number?
Answer:
5
Step-by-step explanation:
5 * . 8 = 4
Which function has a range of
?
Y=cos-1x
Answer:
-1,1
Step-by-step explanation:
what is the scale factor from figure A 10,11,18 to figure B 72,44,40
Answer: uhnu
Step-by-step explanation: ugyfdtduyyggy
yjjh
