Answer:
640
Step-by-step explanation:
Using the Central Limit Theorem, it is found that the researcher should use a sample size of 640.
Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. From this, we can take that the standard deviation is inversely proportional to the square root of the sample size.Hence, for the standard deviation to be cut be half, the sample size has to be multiplied by 4, which means that it should be of 4 x 160 = 640.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25581475
5, 7, 9
Show that the mean of these three numbers is 7.
Answer:
Mean= 7
Step-by-step explanation:
The numbers are 5, 7, 9
Mean= sum of numbers/ total numbers
= 5+7+9/3
= 21/3
= 7
Hence the mean is 7
Which critical thinking issue is most relevant to the following situation:
A survey asks the following: Should the President have the line item veto to eliminate waste?
self-interest study
O assumed accuracy from overly precise numbers
voluntary response bias
Ononresponse bias or missing data
perceived lack of anonymity
loaded or leading question
Answer: loaded or leading question
Step-by-step explanation:
Loaded or leading questions aim to elicit a particular response from the respondents by including an assumption that makes people feel bad or good if they answer in a certain way. It essentially plays on their emotions and ideals.
The question in the survey is a loaded question because in saying/assuming that the veto will be able to eliminate waste, it makes people more likely to vote in the affirmative as they would want the president to either get rid of waste or would feel bad if they did vote for such an environmental endeavour.
if two different subjects are randomly selected, find the probability that they both had a headache
Answer:
Probability = 2/2
descrease £250 by 15%
Answer:
£212.5
Step-by-step explanation:
15% of 250 = 37.5
250 - 37.5 = 212.5
what is 14365 round to the nearear hundred
Answer:
a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion
Step-by-step explanation:
Travis sold 15 of his basecall cards. This represents 20% of his total cards. what is Travis total number of cards?
Simplify 8/10 please help me
many states refused to ratify the constitution unless?
Other Federalists claimed that the new government could not violate the people's rights because it only had limited powers. However, most state legislatures refused to ratify the Constitution without the Bill of Rights being added to the document.
Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
about the origin.
Answer:
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
:)
Answer: Choice B
It is a same size scalene triangle as the original triangle.
Step-by-step explanation:
A. It is a smaller scalene triangle than the original triangle.
B.(It is a same size scalene triangle as the original triangle.)
C.It is a larger scalene triangle than the original triangle.
Help with this question
Answer: 14/16
Step-by-step explanation:
Answer:
14/8 BUT Simplified even further = 7/8
Step-by-step explanation:
At an electronic store, an air conditioner marked at 280$ was on sale at $259 what was the percentage of discount for the air conditioner?
Answer:
7.5%
Step-by-step explanation:
280 - 259 = 21
21 / 280 = 0.075 = 7.5%
are these right??? Please help
Answer:
yes as far as i can see and tell
Step-by-step explanation:
Fill the missing values to make the equations true.
Answer:
a) [tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]
b) [tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]
c) [tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]
Step-by-step explanation:
Now we proceed to solve each case by appropriate rules for logarithms.
a) The following property shall be used: [tex]\log_{c} a +\log_{c} b = \log_{c} a\cdot b[/tex] ([tex]a = 8[/tex], [tex]b = 11[/tex], [tex]c = 9[/tex])
[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 8\cdot 11[/tex]
[tex]\log_{9} 8 + \log_{9} 11 = \log_{9} 88[/tex]
b) The following property shall be used: [tex]\log_{c} a - \log_{c} b = \log_{c} \frac{a}{b}[/tex] ([tex]a = 11[/tex], [tex]b = 3[/tex], [tex]c = 7[/tex])
[tex]\log_{7} 11 - \log_{7} 3 = \log_{7} \frac{11}{3}[/tex]
c) The following properties shall be used: [tex]\frac{1}{d} = d^{-1}[/tex], [tex]\log_{c} a^{b}[/tex]
[tex]\log_{7} \frac{1}{81} = \log_{7} 81^{-1}[/tex]
[tex]-\log_{7} 81[/tex]
[tex]-\log_{7} 3^{4}[/tex]
[tex]\log_{7}\frac{1}{81} = -4\cdot \log_{7} 3[/tex]
Plz help me this is 7th grade math advance
Answer:
x=54 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees.
In this case, angle 126 and angle x are supplementary.
126+x=180
x=54 degrees.
Let me know if this helps!
Find the inverse of the function.
f(x) = 12 - 2
Determine the value of x so that line ℓ will be parallel to line m.
Answer:
we have
m<2=m<7
4x+2=5(x-2)
4x+2=5x-10
10+2=5x-4x
x=12
In the figure below ABCD is a rectangle and DA and CB are radii of circles tangent externally, AB = 4 cm. Provide the answer in terms of π (Do not approximate)
Find: Radius DA
Area of rectangle ABCD
Area of shaded region
Perimeter of shaded region
PLEASE HELP WILL MARK BRAINLIEST
Answer:
a. Radius of DA - 2 cm.
b. Area of rectangle ABCD -
c. Area of shaded - 8-4π
d. Perimeter of shaded region - also 8-4π
Hope this helps!
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
plz help. I'm confused
Answer:yes, by SAS
Step-by-step explanation: a e makes the angle and b b finishes the equation brainliest plz thanks
helps wut is 131+393÷52,,,, ya volvi cabr.ones
Answer: 138.557
Step-by-step explanation:
Answer:
hey :( so just wondering hru ummm and u were right and umm ig i am just gonna f my life up always umm hru ?
Step-by-step explanation:
3 pounds to 24 ounces write each ratio in simplest form
Answer:
2:1
Step-by-step explanation:
First we convert 3 pounds into ounces which is 3x16 because 1 pound=16 ounces. So 48 ounces=3 pounds. So know we have the ratio 48:24 which we can simplify to 2:1
Hope this helps :)
The required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
Given that,
3 pounds to 24 ounces write each ratio in simplest form is to be determined.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Here,
The ratio of 3 pounds to 24 ounces,
Simplest form = 3 / 24 = 1 / 8.
Thus, the required simplest ratio for 3 pounds to 24 ounces is 1 : 8.
Learn more about ratios here:
brainly.com/question/13419413
#SPJ5
If (a+b)² =10 and ab=1 then find a²+b²
Answer:
8
Step-by-step explanation:
so openeing the parenthesis we get
a2+2ab+b2=10
a2+2(1) +b2=10
a2+2+b2= 10
a2+b2=8
if my answer helps please mark as brainliest
find the value of each variable using sine and cosine round your answers to the nearest tenth
9514 1404 393
Answer:
a = 14.9
b = 11.1
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relationships.
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
In this triangle, that means ...
sin(48°) = b/a
cos(48°) = 10/a
Using the cosine relation, we can find 'a':
a = 10/cos(48°) ≈ 14.9
Then using the sine relation, we have ...
b = a·sin(48°) ≈ 11.1
_____
Additional comment
When computing 'b', the full precision value of 'a' should be used.
The saddleback Seahawks football team gained 37 yards in the first quarter of the game, they lost 88 yards in the second Quarter, lost another 105 yards in the third quarter, and gained 12 yards in the final quarter. Did they have a net gain of loss during the game. How many yards.
Please do this question, did they have a net gain of loss during the game. IT IS DUE. I will give brainlest and extra points please. MY QUESTION IS THAT: DID THEY HAVE A NET GAIN OF LOSS DURING THE GAME.
Answer:
loss, 144 yds loss
Step-by-step explanation:
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
5.5
Step-by-step explanation:
57-29.5 / 10-5 = 5.5
Answer:
5.5
Step-by-step explanation:
The rate of change of a relationship is the ratio of corresponding changes in value. Symbolically, we indicate a change with the greek letter Δ (pronounced "delta"). A change in x is written Δx ("delta eks") and a change in y is written Δy ("delta why"). We're looking for the ratio Δy/Δx ("delta y over delta eks").
Mathematically, Δx and Δy are the differences between two corresponding x an y values. To pick these, we can take any two rows in our table. Let's pick rows 4 and 2, nice whole numbers:
[tex]\Delta{x}=20-10=10\\\Delta{y}=112-57=55\\\Delta{y}/\Delta{x}=55/10=11/2=5.5[/tex]
We can confirm that this holds for every other pair, too - picking rows 2 and 1 as an example:
[tex]\Delta{x}=10-5=5\\\Delta{y}=57-29.5=27.5\\\Delta{y}/\Delta{x}=27.5/5=275/50=11/2=5.5[/tex]
ive just joined into a class from remote to now hybrid. we are doing how to find out if an ordered pair is a solution to the linear equation. i am so lost. please help.
Answer:
Step-by-step explanation:
You'll be given an equation that contains an x and a y.
You'll also be given an ordered pair. Plug the ordered pair into the equation and see if the equation is true.
For example:
Is (0,4) a solution to the equation 2x+3y = 15 ?
Plug the coordinates of (0,4) into the equation:
2·0 + 3·4 = 15
This simplifies to 12 = 15, which is obviously false, so (0,4) is not a solution to the equation.
Which expression is equivalent to 1/5×15: 5÷15, 1÷5, 15÷5, 15÷1
Answer:
the question is not valid with "obj."
In a computer class, a group of 4 girls shared a computer and printer to print their math projects. The total time to print the project was 1/2 hour. Each girl needed the same amount of time to print her project. What part of an hour did it take each of the 4 girls to print her project?
Answer:
30
Step-by-step explanation:
cause i said so
6.
5.7 + 2(w + 1) = 2w + 9
- 8(4 + 9r) = 7(- 2 – 11r)
-
Answer:
0
Step-by-step explanation:
are given:
\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}
sin(x)−2
sin
2
(x)−sin(x)−2
To make it simpler and more clear, we can let u = sin(x). So:
\displaystyle \frac{u^2-u-2}{u-2}
u−2
u
2
−u−2
Now, it becomes obvious that we can factor, which produces:
\displaystyle =\frac{(u-2)(u+1)}{u-2}=
u−2
(u−2)(u+1)
Cancel:
=u+1=u+1
And substituting back:
=\sin(x)+1=sin(x)+1
Hence, our answer is A.
what number is divisible by 49 that is divisible by 27?
9514 1404 393
Answer:
1,323
Step-by-step explanation:
The smallest positive number divisible by both 49 and 27 is ...
49×27 = 1,323
__
49 and 27 have no common factors, so the least common multiple is their product.