Final answer:
To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.
Explanation:
To calculate the sample size required, we need to use the formula for standard error:
SE = σ/√n
In this case, we want the standard error to be less than 5 points, so we have the inequality:
5 > σ/√n
Multiplying both sides by √n, we get:
5√n > σ
Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:
5√n > 10
Dividing both sides by 5:
√n > 2
Squaring both sides of the inequality:
n > 4
So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5
Final answer:
To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.
Explanation:
The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.
To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).
To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.
Solving for n, we square both sides to obtain n > 4.
Thus, we need a sample size greater than 4.
However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.
Therefore, a sample size of at least 5 is needed.
Cedric has 200 songs on his Apple Music account. Of these songs, 24 are Indie songs. What percent of Cedric's songs are Indie songs?
Answer:
12%
Step-by-step explanation:
First put it into a fraction 24/200
Half it to make it to 100%
12/100=100%
Final answer:
To find the percentage of Cedric's songs that are Indie songs, divide the number of Indie songs by the total number of songs and multiply by 100%. The percentage of Indie songs is 12%.
Explanation:
To find the percentage of Cedric's songs that are Indie songs, we need to divide the number of Indie songs by the total number of songs and then multiply by 100.
So, the percentage of Indie songs is calculated as:
Percentage of Indie songs = (Number of Indie songs / Total number of songs) * 100% = (24 / 200) * 100% = 12%.
1. Compare subtracting 10/8 - 4/8 to subtracting 10-4. How are they alike? How
are they different?
The subtraction of 10/8 - 4/8 is similar to 10-4 only in the general subtraction process, but they differ in the types of numbers used (fractions vs. whole numbers) and the results generated (a fraction vs. a whole number).
Explanation:The process of subtracting 10/8 - 4/8 is similar to subtracting 10-4 because in both cases, you are subtracting one number from another (~subtraction process~). However, they are different in terms of the kind of numbers used for subtraction. In the first operation, we are subtracting fractions while in the second operation, we are subtracting whole numbers.
To elaborate, in 10/8 - 4/8, they have the same denominators (8), so it's straightforward to subtract the numerators (numbers on top of the fraction): 10 - 4 = 6. So, the result is 6/8, which simplifies to 3/4.
In 10 - 4, the operation is simpler because we are working with whole numbers. By subtracting 4 from 10, we get 6 as the result. So, the results of the operations bear another difference, one yields a fraction, the other yields a whole number.
Learn more about Subtraction here:https://brainly.com/question/20438352
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I nreed help aspa plzzzzzzzzz
Rafael spins the pointers of the two spinners shown at the right. Find the probability of each possible sum.
Answer:
P(sum 2)=1/6
P(sum 3)=1/3
P(sum 4)=1/3
P(sum 5)=1/6
Step-by-step explanation:
[tex]\left|\begin{array}{c|ccc}&1&2&3\\---&---&---&----\\1&2&3&4\\2&3&4&5\end{array}\right|[/tex]
On the table, there are a a total of 6 outcomes.
Number of sum that equals 2=1Number of sum that equals 3=2Number of sum that equals 4=2Number of sum that equals 5=1Therefore:
P(sum 2)=1/6
P(sum 3)=2/6=1/3
P(sum 4)=2/6=1/3
P(sum 5)=1/6
Pleaseee help!!!!!!!
Answer:
[tex]y = 3000 - 18x[/tex]
3000 goes into the green box.
Which of the following expressions is equivalent to the expression 2(7x+3)
A 9x+3
B. 14x +6
C. 9x-6
D. 14x-3
The formula 2(7x+3) can be translated into 14x +6 using the distributive property of multiplication over addition (Option B).
Explanation:The expression 2(7x+3) is equivalent to the expression 14x+6. Such mathematical expressions are related to the concepts of algebra, specifically, the distributive property of multiplication over addition. This property allows the distribution of 2 over the terms inside the parentheses, 7x and 3 in this case. When we multiply 2 by 7, we get a result of 14, and when we multiply it by 3, we get a result of 6. So, option B: 14x + 6 is the correct response to this question.
Learn more about Distributive Property here:https://brainly.com/question/37341329
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Could anyone solve this?
Answer:
26.
Step-by-step explanation:
Hope this helps!
Your help would be greatly appreciated
The variable y is directly proportional to the variable x. If y = 12 when x = 14, what is the value of x when y = 24?
Answer:
28
Step-by-step explanation:
Pythagorean theorem (picture provided)
The answer is of option D.
Hope this will help u...:)
Laurie wants to buy a new sweater that costs $45. The sweater is on sale for 25% off and 6.75% sales tax will be applied to the purchase. What will be the total cost of the sweater?
Answer:
36.03 dollars.
Step-by-step explanation:
Hope this helps!
Answer: $36.03
Step-by-step explanation: 25% of $45 is $11.25, and 45-11.25 is 33.75. The sales tax is $2.28, and that plus $33.75 is $36.03.
i really need help what would be the answer?
Answer:
x= −b^2a
Step-by-step explanation:
However, if this question is asking WHAT IS the axis of symmetry, then it would be 3
Answer:
x=[tex]-b^{2a}[/tex]
Step-by-step explanation:
which expression is equivalent to 3x/5
a: 15x/20
b: 12x/20
c: 12x/5
Answer: 12x/20
Step-by-step explanation:
Looking at 3x/5
The expression equivalent is 12x/20
The reason is this
12x/20
If you divide the 12x by 4
It will give you 3x
If you divide 20 by 4
It will give you 5
Therefore, you will still have 3x/5
Another way to look at it is this
3x/5= 0.6x
12x/20= 0.6x
Therefore, the final answer is b which is 12x/20
What is the slope of the line shown in the graph?
A 3/2
B 2/3
C -3/4
D - 2/3
Answer:
D. -2/3
Step-by-step explanation:
Since it is going down, it is negative
Think of this: Rise/Run
In this case, rise is when you are going up or down the graph
Run is when you are going to the right of the graph
Let's use 2 points (0,3) and (3,1)
Since you are going three points to the right we are going to put 3 in for run
You are going 2 places down, so we are going put -2 in for rise
This gives us -2/3
Another way to do this is (1-3)/(3-0) = -2/3
In OY, shown below, the radius is 34 units, AB = 60 units, and the measure of arc AC is 71 degrees.
Find each measure.
Answer:
1. 71
2. 142
3. 30
4. 30
5. 16
6. 18
-20a -8 + 12b is ? what is the answer?
Answer:
4(-5a + 3b - 2)
Step-by-step explanation:
Aside from changing the order of the terms so that the "a" term comes first and the "b" term second, there's nothing you can do with this expression -20a -8 + 12b. But notice that 4 is a factor common to all three terms, and therefore it can be factored out:
Rearranging the terms, we get
-20a + 12b - 8 = 4(-5a + 3b - 2)
Answer:
The answer is -4(5a+2-3b)
Step-by-step explanation:
Find the GCF and then multiply
Simplify
Simplify Simplify
Step-by-step explanation:
Simplify: [(8)^2/3]^4
(a) 8^8/3
(b) 8^6/3
(c) 8^6/12
Solution:
[(8)^2/3]^4
use the rules of exponents to simplify the expression.
=> [(8)^2/3]^4
To raise a power to another power multiply the exponents.
=> (8)^2/3 × 4
Multiply 2/3 times 4.
=> (8)^8/3
Option (c) (8)^8/3 is your correct answer.
Another method:Given,
[(8)^2/3]^4
=> [(8^3)^2/3]^4
=> [(2)^3×2/3]^4
=> [(2)^2]^4
=> (2)^2×4
=> (2)^8
=> 2^8
=> 2×2×2×2×2×2×2×2
=> 256 Ans.
Hope this helps!!
which number is a rational number?
√15
2.6457513110
17.156
^3√85
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕
Answer:
C. 17.156
Step-by-step explanation:
Im sure the answer is C.) 17.156
Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. ... So, any terminating decimal is a rational number...
Hope I helped!!!
Good luck deary... <3
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡⊕
There are 5 red marbles, 4 blue marble, 2 green marbles, and 1 yellow marble in the bag. What is the probability of pulling out each of the following?
Answer:
Red : 5/12
Blue : 1/3
Green: 1/6
Yellow : 1/12
Step-by-step explanation:
5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles
5 red marbles / 12 total marbles = 5/12
4 blue marbles / 12 total marbles = 4/12 = 1/3
2 green marbles / 12 total marbles = 2/12 = 1/6
1 yellow marbles / 12 total marbles = 1/12
Which expressions are equivalent to -6+3(2+(-4t))?
Choose all answers that apply:
(Choice A)
A
-12t
(Choice B)
B
12t-12
(Choice C)
C
None of the above
Answer:
I belive that choice A would be the best answer!
Step-by-step explanation:
A circle with area 16pi has a sector with a central angle of 8/5pi radians. What is the area of the sector?
Answer:
The area of the sector is [tex]12.8\pi\ units^2[/tex]
Step-by-step explanation:
we know that
The area of a complete circle (16π units^2) subtends a central angle of 2π radians
so
using proportion
Find out the area of a sector , if the central angle is equal to 8π/5 radians
[tex]\frac{16\pi}{2\pi}=\frac{x}{(8\pi/5)}\\\\x=8(8\pi/5)\\\\x= 12.8\pi\ units^2[/tex]
Answer: 12.8pie
Step-by-step explanation:
A proposed law before it is confirmed through the House, Senate and Presidential process is:
a committee
an amendment
a bill
a proposal
Answer:
A bill
Step-by-step explanation:
A bill becomes a law. Search up a bill becomes a law schoolhouse rock.
Salma suggested they sol a Grande box with 24 cupcakes. The ratio of
chocolate to vanilla cupcake is the same ratio of chocolate to vanilla for the
small box. Salma says that she can use equivalent ratios lo find how many
cupcakes in the Grande box are chocolate. What does she mean by that? How
many chocolate cupcakes will that be?
Answer:
12... If there is an even ratio between the two, then there is an even amount, so you divide 24 by 2 and you have 12 chocolate and 12 vanilla cupcakes in the Grande box.
Step-by-step explanation:
It izz wat it izzzz!!!
:)
Answer:
If the ratio of chocolate to vanilla cupcakes is the same, that would make there 12 chocolate and 12 vanilla cupcakes. She means that she can use equivalent ratios by, lets say the grande box had 100 cupcakes, then we know 50 are chocolate. We don't know how many chocolate cupcakes that will be because we don't know how much bigger the bigger box of cupcakes is.
Step-by-step explanation:
y=|x−3|+|x+2|−|x−5|, if 3
Answer: 3
Step-by-step explanation:
Y=|x-3|+|x+2|-|x-5|
X is given as 3
Substitute for x=3
Y=|3-3|+|3-2|-|3-5|
Y=0+1-(-2)
Y=0+1+2
Y=3
Answer:
Step-by-step explanation:
y=|3-3|+|3+2|-|3-5|
=0+5-2
=3
Please help me ASAP 16 points
flour: 60
milk: 2.5
i calculated i hope its the right Answer
log (x) + log (x + 5) = log (6 x + 12)
I need the answer asap
Answer: 12 i believe sorry if im wrong
What is the next term of the geometric sequence?
375, 75, 15,
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The common ratio = 75/375 = 1/5
So the next term = 15* 1/5= 3
Which order does it go?
Line segment AB has a length of 5 units. It is translated 3 units to the right on a coordinate plane to obtain line segment . What is the length of ?
Answer:
5 units long because when you have a translation the length, size and shape of the segment doesn't change it's just moved over on the coordinate plane.
What is the missing statement in the proof?
∠FEG ≅ ∠HJG
∠GFE ≅ ∠GHJ
∠EGF ≅ ∠JGH
∠GEF ≅ ∠JHG
Answer:
∠GFE ≅ ∠GHJ
Step-by-step explanation:
Answer:
B
Step-by-step explanation: