The sequence is geometric with first term
a
1
=
100
and common ratio
r
=
0.5
Explanation:
a
1
=
100
,
a
2
=
50
,
a
3
=
25
,
a
4
=
25
2
,
a
5
=
25
4
...
50
100
=
0.5
,
25
50
=
0.5
,
25
2
25
=
0.5
,
25
4
25
2
=
0.5
∴
a
2
a
1
=
a
3
a
2
=
a
4
a
3
=
a
5
a
4
=
0.5
The ratio of successive term and preceeding term is constant
(
r
=
0.5
)
. Therefore the sequence is geometric whose first
term is
a
1
=
100
and common ratio is
r
=
0.5
[Ans]
.Here is a 90% confidence interval estimate of theproportion of adults who say that thelaw goes easy on celebrities: 0.645
Answer:
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
In this question:
CI is between 0.645 and 0.842. So the best estimate of the proportion is:
(0.645+0.842)/2 = 0.7435
The best estimate of the proportion of adults who say that the law goes easy on celebrities is 0.7435.
At an auditorium, 3 1/2 sections are filled with people watching a play. Exactly 3/5 of the people watching the play are parents. What fraction of the sections are filled with parents?
Answer:
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
Step-by-step explanation:
Given:
Total number of sections filled = 3¹/₂ = 7 / 2 sections
Number of fraction parents watching play = 3/5
Find:
Fraction[Total number of sections filled filled with parents]
Computation:
Fraction[Total number of sections filled filled with parents] = Total number of sections filled x Number of fraction parents watching play
Fraction[Total number of sections filled filled with parents] = [7/2] x [3/5]
Fraction[Total number of sections filled filled with parents] = 21 / 10 sections
Fraction[Total number of sections filled filled with parents] = 2¹/₁₀ section
The probability of tails of a weighted coin is 0.58. The number of tails is noted each of the 25 times the coin is tossed. If this procedure is repeated 150 times, what type of distribution is simulated
Answer:
It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58
Step-by-step explanation:
Given -
Probability of tails of a weighted coin = 0.58
Number of tail is noted each 25 times
Repetition of procedure = 150 times
mean = p = 0.58
SD = Sqrt {p(1-p)/n}
Substituting the given values, we get -
SD = Sqrt {0.58(1 – 0.58)/150}
= 0.04029
It is a sampling distribution of the sample proportion for which n = 150 and p = 0.58
Answer:
The options are not given so these are the options:
- A binomial distribution with n = 25 and p = 0.58
- A binomial distribution with n = 2 and p = 0.58
- A sampling distribution of the sample proportion with n = 25 and p = 0.58
- A sampling distribution of the sample proportion with n = 150 and p = 0.58
- There is not enough information to determine the distribution.
Step-by-step explanation:
The answer is - A binomial distribution with n = 25 and p = 0.58.
I got it right on my test.
Good luck!
The distance by road from town A to town B is 257 km. What is 50% of that distance?
Answer: 128.5km
Step-by-step explanation:
Since we are given the information that the distance by road from town A to town B is 257 km. To get 50% of the distance, we simply have to multiply the distance given by 50%. This will be:
= 50% × 257km
= 50/100 × 257km
= 0.5 × 257km
= 128.5km
Therefore, 50% of the distance is 128.5km.
Select the correct answer.
Mike wants to find the confidence interval for a set of data. He knows the sample size and the sample proportion. Which other piece of information does he need to determine the confidence interval?
A.
the number of favorable responses
B.
the critical value
C.
the standard deviation
D.
the standard error of the mean
its A the critical value because I just took the test and got it right
Answer:
Yeahhhh!! the critical value
Step-by-step explanation:
PLEASE SOLVE QUICK IM UNDER A LOT OF STRESSSSSSS
Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles if the first one is placed back in the bag before the second draw?
Answer:
3/10
Step-by-step explanation:
If a spinner for a game is spun once, there is a 25% chance it will land on
orange. What is the chance that the spinner will not land on orange on both
the first and second spin in a game? Calculate the probability as a decimal
rounded to the nearest TENTH.
Answer:
[tex]Pr = 0.6[/tex]
Step-by-step explanation:
Given
Let
[tex]O \to Orange[/tex]
So:
[tex]P(O) = 25\%[/tex] --- probability of O
[tex]n=2[/tex] --- Number of spin
Using the complement rule, the probability that a spin will not land on orange is:
[tex]P(O') = 1 - P(O)[/tex]
[tex]P(O') = 1 - 25\%[/tex]
Express as decimal
[tex]P(O') = 1 - 0.25[/tex]
[tex]P(O') = 0.75[/tex]
On two spins, the probability that it will not land on orange is:
[tex]Pr = P(O') * P(O')[/tex]
So, we have:
[tex]Pr = 0.75* 0.75[/tex]
[tex]Pr = 0.5625[/tex]
[tex]Pr = 0.6[/tex] --- approximated
Eight trials are simulated. The results are shown in the table.
Simulation
109 105 112 110
115 106 108 109
What is the estimated margin of error, using standard deviation?
Answer:
3.33
Step-by-step explanation:
I just took the test! :D
The estimated margin of error, using standard deviation is 3.33.
What is the estimated margin of error, using standard deviation?The margin of error shows an estimated percentage, or that surrounds a guess related to the real value of the population. For example, a confidence interval that has a margin of error tells you that your findings will be within the real population value of the time.
Typically, the higher the standard deviation, the more dispersed the data is. Understanding standard deviation is an essential part of calculating the margin of error for your data. If you do not have the value for your sample data proportion.
Standard deviation describes variability within a single sample, while standard error describes variability across multiple samples of a population. Standard deviation is a descriptive statistic that can be calculated from sample data, while standard error is an inferential statistic that can only be estimated.
Learn more about errors here:-https://brainly.com/question/11472659
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at what rate will £420 yield £
£70 in 4 years
Answer:
4.16%/ year
Step-by-step explanation:
A triangle has side lengths of
[tex] \sqrt{125} [/tex]
[tex] \sqrt{5} [/tex]
[tex] \sqrt{20} [/tex]
What is the perimeter of the triangle?
[tex]4 \sqrt{5} [/tex]
[tex]6 \sqrt{5} [/tex]
[tex]8 \sqrt{5} [/tex]
none of the answers are correct
Answer:
3 is the right one
Step-by-step explanation:
Simple math you know
A band of 17 pirates stole a sack of gold coins. When they tried to divide the fortune into equal portions, 3 coins remained. In the ensuing brawl over who should get the extra coins, one pirate was killed. The wealth was redistributed, but this time an equal division left 10 coins. Again an argument developed in which another pirate was killed. But now the total fortune was evenly distributed among the survivors. What was the least number of coins that could have been stolen
Answer:
The least number of coins that could have been stolen is 3,930.
Step-by-step explanation:
In the beginning, there are N coins to be distributed among 17 pirates, and we know that if we divide evenly these coins, there are 3 coins remaining.
Then we can write the total number of coins as a multiple of 17 plus 3.
N = 17*k + 3
where k is an integer.
After that, a pirate is killed, so now we have 16 pirates, and now there are 10 coins left, so now we can write N as a multiple of 16 plus 10:
N = 16*j + 10
where j is an integer.
Finally, having 15 pirates, the total number of coins can be divided evenly, then N is a multiple of 15
N = 15*m
where m is an integer.
So we have these 3 equations:
N = 17*k + 3
N = 16*j + 10
N = 15*m
So we can express equations like:
15*m = 16*j + 10
15*m = 17*k + 3
Where we need to find solutions such that both of these variables are integers.
For the first one we can write:
15*m - 16*j = 10
One way to do it, is to write this like a linear equation:
m = (16*j + 10)/15
Graph this, and find the pairs of points in the line that have bot integer values, or we can just find some values of j such that:
16*j + 10 is a multiple of 15.
For example, with j = 5 we have:
m = (16*5 + 10)/15 = 6
so j = 5 and m = 6 is a possible solution.
Now if we use m = 6 in the other equation:
15*m = 17*k + 3
we can see if k is also an integer:
k = (15*m - 3)/17
replacing m by 6:
k = (15*6 - 3)/17 = 5.1
This solution does not work.
Let's find others:
if j = 20 (at this point we already know that the possible values of j "jump" by 15 units, like 5 + 15 = 20) then:
m = (16*20 + 10)/15 = 22
Then:
j = 20 and m = 22 is another solution.
Same as before, let's use m = 22 in the equation for k:
k = (15*22 - 3)/17 = 19.2
Let's find another solution for m.
if j = 35
m = (16*35 + 10)/15 = 38
Using this value of m in the k equation we get:
k = (15*35 - 3)/17 = 33.4
Let's find another solution for m.
if we take j = 50 we get:
m = (15*50 + 10)/15 = 54
Using this in the k equation we get:
k = (15*54 - 3)/17 = 47.5
Eventually, for j = 5 + 15*16 = 245 we get: (arrived by iteration, just try each time using the previous value of j plus 15)
m = (16*245 + 10)/15 = 262
replacing this in the k equation we can find:
k = (15*262 - 3)/17 = 231.
So the first solution is:
j = 245, m = 262, k = 231
Then:
N = 262*15 = 3,930
The least number of coins that could have been stolen is 3,930.
The initial condition for a one-dimensional transient conduction problem is the specification of:_______.
A. the time at which the solution to the problem starts.
B. the properties at the start of the solution.
C. the temperature at the initial time throughout the domain.
D. None of the above
Answer:
C
Step-by-step explanation:
2x + 4,x²-4 answer 7 class
a box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides. let x represent the lenght pf the sides of squares removed from each corner.
What are the factors of this polynomial?
Step-by-step explanation:
Given that,
A box is created from a sheet of cardboard 40in. on a side by cutting a square from each corner and folding up the sides.
Let x represent the length of the sides of squares removed from each corner.
(a) The volume of a cuboid is given by :
V = lbh
Put values,
V = x(40-2x)(40-2x)
(b) (40-2x) = -2(x-20)
So,
V = x(40-2x)(40-2x)
= [tex]4x\left(x-20\right)^2[/tex]
(c) [tex]4x\left(x-20\right)^2=4x^3-160x^2+1600x[/tex]
It is a cubic polynomial. Its degree is 3.
If P is inversely proportional to Q and if pad when Q = 4. Find the value
of when Q = 3.
A) 7 B) 6 C) 12
Answer:
8
Step-by-step explanation:
If p is inversely proportional to Q and P is 6 when q = 4, then;
p = k/q
6 = k/4
k = 6*4
k = 24
To get P when q = 3
Recall;
p = k/q
p = 24/3
p = 8
Hence the required value of p is 8
Note that the value of initial Q was assumed
Can someone please answer this ASAP!!!
The map slake reads 2 inches =25 miles which distance does 6 inches represent
Answer:
75 miles
Step-by-step explanation:
Step 1: Set up a fraction given the data (Let "x" represent the distance in miles.)
[tex]\frac{25}{2} = \frac{x}{6}[/tex]
Step 2: Divide the given values (Given values are 25 over 2. We are doing this because we need to know the difference between those two figures.)
[tex]\frac{25}{2}\\\\25 \div 2\\\\= 12.5 \:or\: 12\frac{1}{2}[/tex]
Step 3: Multiply the result to the 6 (Since we've found the difference between them by division, we will have to do the opposite operation in order to find the answer.)
[tex]12\frac{1}{2}\times6\\\\= 75[/tex]
Therefore, 75 is the distance in miles.
Evaluate the expression when x=7 and y=-3. x2+2y
Answer:
Step-by-step explanation:
x = 7, y = -3 2x + 2y
2 (7) + 2 (-3) = 14 - 6 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help!!! Here’s a picture of my question
Answer:
option no. D
Step-by-step explanation:
i+34j+14k
hope it helps
Please help me Simplify 1-9÷7+3
Answer :
the answer is -4/5 or -0.8
step-by-step explanation:
1-9/7+3 = -8/10
now simplify that,
-8/2 = -4
10/2 = 5
so we have -4/5 0r -0.8
Answer:
[tex]1-9\div \:7+3\\9\div \:7\\=\frac{9}{7}\\=1-\frac{9}{7}+3\\=\frac{19}{7}\\\frac{19}{7}\\2\frac{5}{7}\\ans:=2\frac{5}{7}[/tex]
hope this helps you
need it asap please!!!!
Answer:
they are rational numbers
Can somebody tell me the answer for this one
Supposed f(x) =x^3. Find the graph of f (x-3)
Answer:
Step-by-step explanation:
the graph will move 3 units to the right
graph 4 I think, although cannot see the picture well
Answer:
Step-by-step explanation:
The -3 translates the graph of x^3 3 units to the right.
Tyrone is building a skateboard ramp with a piece of plywood that is 33 feet long.He wants the height of the ramp to be 22 feet.To make a strong ramp, the base must form a right angle with the back of the ramp.What will be the length of the base rounded to the nearest tenth of a foot?
please hurry and and please show your work!!
Answer:
24.6 ft
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
a^2 + (22 ft)^2 = (33 ft)^2
a^2 + 484 ft^2 = 1089 ft^2
a^2 = 605 ft^2
a = 24.6 ft
Answer: 24.6 ft
47% of 8.4 million .....
Answer:
39,48,000
Explanation:
please mark me brainliest
Cathy lives in a state where speeders are fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105 for speeding on a road where the speed limit is 60 miles per hour. How fast was Cathy driving?
Answer:
Cathy was driving at a speed of 67 miles per hour.
Step-by-step explanation:
Fined $15 for each mile per hour over the speed limit. Cathy was given a ticket for $105.
We solve this using a rule of three.
1 mile - $15
x miles - $105
Applying cross multiplication:
15x = 105
x = 105/5 = 7.
Cathy was 7 miles above the speed limit.
How fast was Cathy driving?
7 miles above the speed limit of 60 miles per hour, so 60 + 7 = 67 miles per hour.
Cathy was driving at a speed of 67 miles per hour.
Polygon ABCDE ~ Polygon FGHIJ
What is the scale factor of polygon ABCDE to polygon FGHIJ?
The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Polygon ABCDE is similar to the Polygon FGHIJ.
Then the scale factor is given as,
Scale factor = 27 / 6
Simplify the equation, then we have
Scale factor = 27 / 6
Scale factor = 9 / 2
The scale factor of polygon ABCDE to polygon FGHIJ will be 9/2. Then the correct option is C.
More about the dilation link is given below.
https://brainly.com/question/2856466
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A model of a building is made using a scale of 1 inch = 20 feet. What is the height of the actual building, in feet, if the height of the model is 10.5 inches?
Answer:
210.
Step-by-step explanation:
10.5 x 20 = 210
i hope that helps!!!
Plsss help me
what is 1 1/2 divided by 2/5? Show your work.
Answer:
3.75 or 3 3/4
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
1.5/.4=3.75
Answer:
[tex]3 \frac{3}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{1}{2} / \frac{2}{5} = \frac{3}{2} / \frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] × [tex]\frac{5}{2}[/tex]
[tex]\frac{3 times 5 }{2 times 2}[/tex]
[tex]\frac{15}{4} = 3 \frac{3}{4}[/tex]