The margin of error is multiplied by √2.
Given that All else is equal if you cut the sample size in half and to make a statistical inference about the mean of the normally distributed population from which it was drawn ME=(z+s)/√n.
Margin of error (ME) from the mean can be calculated using the formula ME=(z+s)/√n where
z means it is the corresponding statistic of the given confidence level
s means it is the standard deviation of the sample (or of the population if it is known)
N is the sample size
As we know margin of error is proportional with inverse of √N,
If we will cut the sample size in half, the margin of error is multiplied by √2.
Hence, if sample size is cut in half then the margin of error when using the sample to make statistical inferences about the mean of the normally distributed population from which it was drawn is √2.
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\large \frac{2\cdot3^{-4}}{5^{-2}}
Adam wrote: \large \frac{2\cdot5^2}{3^4}
Nick wrote: \large \frac{5^2}{2\cdot3^4}
Shane wrote: \large \frac{2\cdot3^4}{5^{^2}}
Who is correct and why?
a
Adam is correct because the negative exponent moves the base to the other side of the fraction bar and makes the exponent positive.
b
None of these are correct because the students did not add the exponents in the numerator and then subtract exponents since there is division.
c
Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
d
Shane is correct because all that needs to be done is to make the negative exponents positive.
Answer:the answer is A:nick is correct
Step-by-step explanation:
Based on the fraction given of [tex]\large \frac{2\cdot3^{-4}}{5^{-2}}[/tex], the correct person is c. Nick is correct because the negative exponent in the numerator moves the whole numerator into the denominator and makes the exponent positive.
Why is Nick correct?When a number is being taken to the negative power, then it can be rewritten as a fraction where the number becomes the denominator and the numerator becomes 1.
The number, 2.3⁻⁴ can be written as:
= 1/2.3⁴
The number 5⁻² can be written as:
= 1 / 5²
When these numbers are divided we get:
= 1/2.3⁴ ÷ 1 / 5²
= 1/2.3⁴ x 5²/1
= 5² / 2.3⁴
= [tex]\large \frac{5^2}{2\cdot3^4}[/tex]
In conclusion, Nick was correct.
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I need help and i WILL OFFER 100 POINTS and make you a BRAINLIEST or try
Answer:
782.5
Step-by-step explanation:
First off, we have to somewhat follow the order of PEMDAS.
1) Simplify the exponents
[tex]\frac{(7.3 * 1000000) + (2.4 * 10000000)}{(4 * 10000)}[/tex]
2) Multiply what's in the parenthesis
[tex]\frac{7,300,000 + 24,000,000}{40,000}[/tex]
3) Now we have to add what's on the top bracket
[tex]\frac{31,300,000}{40,000}[/tex]
4) After all the simplifying is done, we have to divide
31,300,000 ÷ 40,000 = 782.5
I hope this helped you :)
Step-by-step explanation:
you can ask questions for clarification
Solve the following:
32 ÷ 4 + 4 x 8 = ?
A. 42
B. 32
C. 96
D. 40
Answer:
Step-by-step explanation: 40 see attachment
the sum of three numbers is 111. the first number is less than the third. the second number is times the third. what are the numbers?
The first, second, and third numbers are 11, 80, and 20 respectively.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the first number is a second is b and the third one is c
Now,
The sum of the three numbers is 111
So,
a + b + c = 111
The first number is 9 less than the third
So.
a = c - 9
And the second number is 4 times third
So,
b = 4c
By substitution,
c - 9 + 4c + c = 111
c = 20
b = 4(20) = 80
a = 20 - 9 = 11
Hence "The first, second, and third numbers are 11, 80, and 20 respectively".
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The given question are incomplete , complete question is ;
The sum of the three numbers is 111. the first number is 9 less than the third. the second number is 4 times the third. what are the numbers?
Consider the sequence 4, 3, 2, 1.... What is f(4)?
Answer: 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
it's the fourth number in the sequence
Find the distance between points A and B. A = (3,-7) B = (3,1)
The distance between points A and B is 8 units.
We have been given two points A and B.
The coordinates of the points are A = (3,-7) B = (3,1)
We need to find the distance between points A and B.
Let d be the distance between points A and B.
Using distance formula,
d = √[(3 - 3)² + (1 - (-7))²]
d = √[0² + 8²]
d = √8²
d = 8 units
Therefore, the distance between points A and B is 8 units.
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Graph the line that represents the equation y= - 2/3 x + 1
I will give out brainlist
help [please]
Answer:
Step-by-step explanation:
Hi
Which of the following numbers is rational?
A. 2√5
B. √25
C. 2pi
D. 25pi
Answer:
B
Step-by-step explanation:
_/25 can be rooted to 5. 5 is rational.
3)
1 1/3
is fractions between which set of numbers?
A) 1.3 and 1.4
B) 1.2 and 1.3
□ C) 1.1 and 1.2
□ D) 1.4 and 1.5
None of the above, since the improper fraction 4/3 is identical to the mixed number 1 1/3.
There are various types of fractions, including proper and improper fractions as well as mixed numbers. Mixed numbers: Sometimes converting a mixed number into an incorrect fraction is advantageous or required. If you answer equations that contain both mixed numbers and fractions, you must take this step.
Divide the full integer by the denominator of the fraction (3). (1). 3 x 1 = 3. The product you obtained in the previous step (3) after adding the fraction's numerator (1) is equal to four. 1 + 3 = 4.This turns becomes the improper fraction's numerator. As with the proportion in the mixed number, the denominator remains constant.
Hence, the set of numbers 1 1/3 fraction is 4/3.
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calculate the area of the shaded region in each figure. Use 3.14 for pi and round to the nearest tenth, if necessary.
The area of the shaded region based on the information will be 201cm².
How to illustrate the area?It should be noted that the radius of the outer circle will be:
= Diameter / 2
= (8 + 8 + 4 + 4)/2
= 24 / 2
= 12cm
The area of the circle = πr²
= 3.14 × 12²
= 3.14 × 144
= 452.16 cm²
The area of the circle with radius 8cm = 200.96 cm²
The area of the circle with radius 4cm =50.24cm².
The area of the shaded region:
= 452.16 - 200.96 - 50.24
= 200.96 cm²
Therefore, the area of the shaded region based on the information will be 201cm².
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Two friends entered the amusement park at 10:05 AM. With the wait time it took 35 minutes to ride the FLIP-A-Trip. Then, it took 23 minutes to ride the Slippery Slope. What time was it then? Explain how you found your answer.
The computation shows that the time will be 11:05 am.
How to compute the value?The friends entered the amusement park at 10:05 AM, the wait time it took 35 minutes to ride the FLIP-A-Trip and it took 23 minutes to ride the Slippery Slope.
Therefore, the time will be:
= 10.05 + 35 + 25
= 10:05 + 60 minutes
= 10:05 + 1
= 11:05
.It should be noted that 60 minutes= 1 hour. Therefore, you'll add 1 hour to the original time.
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a. It is linear because it has a constant rate of change.
b. It is linear because it does not have a constant rate of change.
c. It is not linear because it has a constant rate of change.
d. It is not linear because it does not have a constant rate of change.
c. It is not linear because it has a constant rate of change.
Answer:
D
Step-by-step explanation:
this is showing a quadratic
A,b,c or d I don’t know which one to pick
Answer:
b
Step-by-step explanation:
the answer is b because 50 + (11 x 9) = 149
75 + (8 x 9) = 147
Therefore, franks fiesta is less expensive for parties of 9 or more
If it costs $9.50 to buy a
movie ticket, what is the
most number of tickets
someone can buy for
$40.00? How much money
is left over?
PLEASE SHOW WORK
The number of tickets that can be bought with $40 is 4 tickets
How to calculate the number of tickets ?It costs $9.50 to buy 1 tickets
The number of tickets that will be bought with $40 can be calculated as follows
= 40/9.50
= 4.2
Hence 4 tickets will be bought with $40
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share £60 in the ratio 3:1
If we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively
Given,
The total amount = $60
The ratio = 3:1
Then the amount given to first person = 3x
The amount given to the second person = x
Given that the total amount is 60
Then the equation will become
x+3x=60
4x=60
x=[tex]\frac{60}{4}[/tex]
x=15
The amount given to the first person = 3x
Substitute the value of x in the equation
The amount given to the first person =3x
=3×15
= $45
The amount given to the second person =x
= $15
Hence, if we share $60 in the ratio 3:1, then each person will get is $45 and $15 respectively
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Lisa and john are bowling. Johns score is three times the difference of Lisa's score and 6. The sum of their scores is 382. Find each students bowling score
Lisa bowling score is 100.
John bowling score is 282.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Lisa and John are bowling.
Johns score is three times the difference of Lisa's score and 6.
The sum of their scores is 382.
Now, Let Lisa bowling score = x
Then, John bowling score = 3 (x - 6)
Since, The sum of their scores is 382.
Hence,
x + 3 ( x - 6 ) = 382
After solving,
x + 3x - 18 = 382
4x = 382 + 18
4x = 400
x = 100
Hence, Lisa bowling score = x = 100
And, John bowling score = 3 (x - 6)
= 3 (100 - 6)
= 3 × 94
= 282
Therefore, Lisa bowling score is 100.
And, John bowling score is 282.
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Please answer the questions in the photo [ Brainliest + points ]
Answer:
8 is 69
9 is 68
t is 99 i think
z is 80 i think
a simple dart target has two concentric circles. the larger circle has a radius of 4. the smaller circle has a radius of 2. the scoring should correspond to the relative difficulty of hitting the inner circle and the outer ring. how many more points should a player receive for landing a dart in the inner circle, as opposed to the outer ring? the player should receive 2 π times as many points. the player should receive 3 times as many points. the player should receive 9 times as many points. the player should receive 4 π times as many points.
The points awarded for striking the inner circle ought to be tripled.
What is the inner circle?
The face region of the circle determines the likelihood of landing an outrage there.The formula for calculating a circle's area is: inner circle for the exterior circle, apply the formula to subtract the inner circle's value to determine the remaining area.The formula for the area of a(one) circle is an inner circle for the external circle, use the formula also abate the value of the inner circle, to find the remaining area, which means that the area of the external circle is 3( three) times larger, making it 3( three) times more likely to hit the external circle.
Thus, The points awarded for striking the inner circle ought to be tripled.
[tex]\pi r^2 A =\pi 2^2 = 12.566 A\\[/tex]
so,
[tex]\pi 4^2 - 12.566 = 3(three)[/tex]
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in a random sample of 7 residents of the state of california, the mean waste recycled per person per day was 1.7 pounds with a standard deviation of 0.36 pounds. determine the 99% confidence interval for the mean waste recycled per person per day for the population of california. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
The critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
Given that;
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
What is the standard deviation?
Standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.
Now,
Number of residents, n = 7
Z*- value of 90% confidence level equals z* = 0.79
Mean x = 1.7 and deviation σ = 0.36
The confidence interval for mean waste recycled per person is
[tex](x-z^{*} \frac{sigma}{\sqrt{n} } ; x+z^{*} \frac{sigma}{\sqrt{n} } )[/tex]
[tex](1.7 - 0.79*\frac{0.36}{\sqrt{7} } ; 1.7 + 0.79*\frac{0.36}{\sqrt{7} })[/tex]
[tex](1.592, 1.807)[/tex]
Hence, the critical value that should be used in constructing the confidence interval is ( 1.592, 1.807 ).
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Please help
Find the slope of the line passing through the given points. how do you know?
The slope of the line passing through the given points is 0.4 or 2/5.
From the table given below, we have (2, 23) and (5, 24.3).
What is the slope of the line passing through the coordinate points?Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y-values over the change in the x-values.
Put the points (2, 23) and (5, 24.3) in the slope formula and find the slope.
That is, m=(24.3-23)/(5-2)
=1.3/3
=0.4
=4/10 = 2/5
Put m=2/5 and the coordinate points (2, 23) in y=mx+c.
That is, 23=2/5 (2)+c
⇒23 - 4/5 =c
⇒111/5 = c
⇒ c=22.2
Now, equation is y=0.4m+22.2
Therefore, the slope of the line passing through the given points is 0.4 or 2/5.
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I cant find my answer please help!
Step-by-step explanation:
once we know what the domain and the range of a function is, this is very simple.
the domain is the interval or set of all valid x (input) values.
the game is the interval or set of all valid y (function result) values.
so, what are all the valid x values ? that means for how many months of collection can we use this function to see how many figurines he has ?
well, we can stay with 0 (what he currently has) and go up to 5 (because after 5 months he does not want to continue this behavior).
so, the domain is
0 <= x <= 5 if we allow also fractions of months as input (if this makes sense)
or
x € {0, 1, 2, 3, 4, 5} if we allow only whole numbers.
and the range ? what are the possible result values of the function ?
for x = 0 it starts with y (or f(x)) = 100.
x = 1 gives us 100 + 3×1 = 103
x = 2 gives us 100 + 3×2 = 106
x = 3, 100 + 3×3 = 109
x = 4, 100 + 3×4 = 112
x = 5, 100 + 3×5 = 115
so, the range is
100 <= y <= 115 if we allow fractions of months
or
y = f(x) € {100, 103, 106, 109, 112, 115} if we allow only whole months as values of x.
8x-4y=7 3x+6y=12 what is the value of x
Answer: x=1
Step-by-step explanation:
2(8x-4y=7)
3x+6y=12
16x-6y=7
3x+6y=12
19x/19 = 19/19
x=1
Step-by-step explanation:
8x-4y=7 3x+6y=12
8x-3x=7 4y+6y=12
5x=7 10y=12.
Consider this system of inequalities.
x + y ≤ –3
y < StartFraction x Over 2 EndFraction
Which graph shows the solution for this system?
The line x + y ≤ –3 will be solid and shaded below the graph and the line y < x/2 will be dashed and shaded below the graph.
Graphing linear inequalities.Inequalities is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
When graphing the inequalities x + y ≤ –3, the line will intersects the y-axis at the coordinate point (0, -3) and the line will be solid and shaded below the graph.
When graphing the inequalities y < x/2, the line will intersects the y-axis at the coordinate point (0, 0) and the line will be dashed and shaded below the graph.
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on monday ramon bought 5 zip disks. two days later the price of the discs were decreased by 1.50 per disk. leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. what was the original price of a disk
The original price of a zip disk is; $1.4
How to Solve Algebra Word Problems?Let cost of zip sticks bought by Ramon be x. Thus;
Cost that Ramon paid = 5x
Now, we are told that 2 days later the price increased by $1.5 per disc. Thus, new cost = x + 1.5
Leticia bought ten disks at the sale price and paid 22 more than ramon paid for 5 disks. Thus, equation here is;
10(x + 1.5) = 5x + 22
Expand the bracket to get;
10x + 15 = 5x + 22
10x - 5x = 22 - 15
5x = 7
x = 7/5
x = $1.4
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Solve 6^x + 2 = 10 for x using the change of base formula log, y = log y log b
The answer for "x" in 6^(x+2) = 10 is -0.715
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given integer x is the exponent to which another set number, the base b, must be increased in order to create x.Firstly, we use the change of base formula. The base must be 6 because the "x" variable is a power of it.6^(x+2) = 10Taking a log with base 6 on both the sidesThen, we can use the property logarithm power rule:(x + 2) log6 = log10(x + 2)(1) = (log10)/(log6)x + 2 = 1/log6x + 2 = 1.285x = 1.285 - 2x = -0.715To learn more about logarithm, visit :
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which ratio has the unit rate of 4
[tex]2\frac{1}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{5}{2} ~~ : ~~ \cfrac{5}{8}\implies \cfrac{ ~~ \frac{5}{2} ~~ }{\frac{5}{8}}\implies \cfrac{5}{2}\cdot \cfrac{8}{5}\implies 4 ~~ \checkmark \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}~~ : ~~1\implies \cfrac{ ~~ \frac{1}{8}~~ }{1}\implies \cfrac{1}{8} ~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4~~ : ~~1\frac{1}{4}\implies 4~~ : ~~\frac{5}{4}\implies \cfrac{4}{ ~~ \frac{5}{4} ~~ }\implies \cfrac{4}{1}\cdot \cfrac{4}{5}\implies \cfrac{16}{5}~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ \cfrac{7}{8}~~ : ~~3\frac{1}{2}\implies \cfrac{7}{8}~~ : ~~\cfrac{7}{2}\implies \cfrac{ ~~ \frac{7}{8}~~ }{\frac{7}{2}}\implies \cfrac{7}{8}\cdot \cfrac{2}{7}\implies \cfrac{1}{4}~~ \bigotimes \\\\[-0.35em] ~\dotfill[/tex]
[tex]4\frac{1}{3}~~ : ~~3\implies \cfrac{13}{3}~~ : ~~3\implies \cfrac{ ~~ \frac{13}{3}~~ }{3}\implies \cfrac{13}{3}\cdot \cfrac{1}{3}\implies \cfrac{13}{9} ~~ \bigotimes \\\\[-0.35em] ~\dotfill\\\\ 2~~ : ~~\cfrac{1}{2}\implies \cfrac{2}{ ~~ \frac{1}{2} ~~ }\implies \cfrac{2}{1}\cdot \cfrac{2}{1}\implies 4 ~~ \checkmark[/tex]
4–3n≥10
someone want 50 points?
Answer:
n <(_) -2
Step-by-step explanation:
We can start by doing this linearly.
First subtract 4 on both sides
-3n >(_) 6
Then divide both sides by -3. You have to switch the sign because you are dividing by a negative number.
n <(_) 6
In a survey the ratio of students who prefer muffins to bagels is 4 to 5 if the number of students surveyed who prefer muffins is 420 how many prefer bagels
In a survey where the ratio of students who prefer muffins to bagels is 4 to 5 and 420 prefer muffins, 525 students prefer bagels.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
It can be expressed in different ways:
1) Use the ":" to separate the values : a : b
2) Use the word "to" : a to b
3) Write it in fraction: a / b
On the other hand, proportion is the equality of two ratios, such that
a : b = c : d
Given a proportion, the product of its means must be equal to the product of its extremes. That is:
ad = bc
If the ratio of students who prefer muffins to bagels is 4 to 5, and 420 students prefer muffins, the proportion can be written as:
4 : 5 = 420 : n
where n = number of students who prefer bagels
Solving for n,
4n = 5(420)
4n = 2100
n = 525
number of students who prefer bagels = 525
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Use graphing technology to approximate the solutions of the equation. x2 + 5x - 12 = | x + 3| + 7
The solution of the given equations is x=-7 and x=3.
The given equation is x² + 5x - 12 = | x + 3| + 7.
What is the solutions of the equation?A solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values such that, when substituted for the unknowns, the equation becomes an equality.
Now, x² + 5x - 12 = | x + 3| + 7 can be rewritten as
x² + 5x - 12 = x + 3 + 7
⇒x² + 5x - 12 = x+10
⇒x² + 5x - 12 -x - 10=0
⇒x² +4x -22 =0
From the obtained graph, the solution of equations is x=-7 and x=3.
Therefore, the solution of the given equations is x=-7 and x=3.
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Evaluate the expression when h = 5.
2h+h-2 (3) =
Answer:
Step-by-step explanation:
For every "h" plug in "5", then follow the order of operations
2h+h-2(3)
2(5)+5-2(3)
10+5-6
15-6
=9
The answer is 9