The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey has a sample size of 200, which value falls within the interval where 95% of the sample means occur? A. 4.88 B. 4.63 C. 4.91 D. 4.55
Answer:
4.63
Please give me brainliest, I really need it.
The value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table.
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
It is given that:
Mean of the population x = 4.73
Standard deviation s = 0.865
Sample size n = 200
The interval where 95% of the sample means occur:
Lower limit = 4.73 - 0.865/√200
Lower limit = 4.66
Upper limit = 4.73 + 0.865/√200
Upper limit = 4.791
The interval = (4.66, 4.791)
Thus, the value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
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Solve the equation:
3/4x = 12
Enter the answer in the box. Enter your numerical answer in the box, do not include words or spaces.
Answer:
3/4x=12
3=4x*12
3=48x
3/48x=1/16
x=1/16
44 students decided to take a cupcake, and 33 of them picked vanilla. What percentage of the students picked
Answer:
33.33%
Step-by-step explanation:
Given data
Total number of students= 44
Number of students that picked vanilla= 33
Therefore the percentage that picked vanilla is
=44-33/44*100
=11/33*100
=0.3333*100
=33.33%
Hence the percentage is 33.33%
IM GIVING 20 POINTS
What is the area of a square with side lengths of 3/5 units?
15/15
9/25
6/10
3/5
Answer:
you get 9/25
Step-by-step explanation:
formula for area of square
=s^2
plug in
3/5^2
calculate
you get 9/25
Hey there!
To find the area of a square, multiply the side length by itself, also known as sqaring the side length.
We must solve 3/5 x 3/5.
3/5 x 3/5 = 0.36
The units we'll use is because units are the unt we're given, and it is squared because it is the area of a shape.
Your final answer is 0.36 .
Hope this helps!
In the triangle MSA, MS = 17 and MA = 8. What is the value of angle S, to the nearest degree?
Answer:
B. 28 degrees
Step-by-step explanation:
153 oz to ___lbs ____oz
Answer:
153 oz to 9.5625 lbs
Step-by-step explanation:
You can round 9.5625 lbs to 8 or just say 9.5
You can buy 3 CDs for $36.00. Assuming these rates are proportional, what would be the cost of 5 CDs?
Answer:
$60
Step-by-step explanation:
36 / 3 = $12 for a single CD
12 * 5 = $60 for 5 CDs
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
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Answer: a
Step-by-step explanation:
HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!
Answer:
missing side length = 9
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
a = 6
b = 7
c = missing side
[tex]c^{2} = 6^{2} + 7^{2}[/tex]
[tex]c^{2} = 36 + 49[/tex]
[tex]c^{2} = 85[/tex]
[tex]\sqrt{c^{2} } = \sqrt{85}[/tex]
[tex]c = 9.219 = 9[/tex]
rename 11/5 as a mixed answer
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
At Home Depot, Johnny bought 3 rose bushes and 7 flats of petunias for a total of $114.75. Rosie bought 2 rose bushes and 6 flats of petunias for a total of $89.50. How much does a rose bush cost? How much does a flat of petunias cost?
Answer:
a rose bush cost $15.5 , a flat of petunias cost $9.75
Step-by-step explanation:
Let $x be the cost of rose bush and $y be the cost of a flat of petunias cost
3x + 7y = 114.75
2x + 6y = 89.5
x = 31/2 , y = 39/4
What is the domain of the function?
Answer: -6 ≤ x < 4
Step-by-step explanation:
Open circles on a graph mean that that point is not included
Filled in circles on a graph mean that that point is included
As a result, the end point (-6, -6) is included while (4, 8) is not
The domain is all possible x-values so the graph can be anywhere from:
-6 ≤ x < 4
Note that there are no possible values for the x-value of 4
What is the data range of the data below 625, 638, 619, 677, 638, 659
Answer:
58
Step-by-step explanation:
The range is the difference between the highest and the lowest numbers in the number set.
The highest number in this set is 677 and the lowest number is 619.
677 - 619 = 58
A line passes through the point (8, 7) and has a slope of 5/4 Write an equation in slope-intercept form for this line.
Which set of ordered pairs represents y as a function of x?
Answer:
D is the correct answer
Explanation:
the following function satisfies each output to its input for the set D
f(x)=x/2
let's check each pair:
0/2=0
-1/2=-0.5
-2/2=-1
-3/2=-1.5
-4/2=-2
the reason why A, B, and C can't be pairs of inputs and outputs x and y it's because a variable x can't have more than one y (that's a behaviour of an equation not a function!)
- in A x=-1 | y=2, -2 and this wrong
- in B x=3 | y=9, 16 and this wrong
- in C x=0 | y=0, 1 and this wrong
I hope this was helpful
The sanctuary takes out a $12,500 loan to renovate its gift shop. At 5%
simple interest, how much would the sanctuary need to pay back in total after 10 years?
Answer:
20361.18283
Step-by-step explanation:
p(1+r/100)n
12500(1+5/100)power 10
i hope this answer helps a little bit.
Maria is solving this number riddle by using guess and check: Fifteen less than a number is twelve.
Based on the riddle, which statements must be true? Check all that apply.
Answer:
27
Step-by-step explanation:
x-15=12
x=15+12
x=27
Answer:
27
Step-by-step explanation:
The circumference of a tree trunk is 50 ft
Answer:
So the length will be the same as the length of the torso
The Cougars basketball team sold tins of flavored popcorn as a fundraiser. The players competed for prizes to see who could sell the most tins. This box plot shows the results.
Popcorn tins sold
What fraction of the players sold between 8 and 16 popcorn tins?
Answer:
1/2 percent
Step-by-step explanation:
If you look at the box, the middle number is 12 or since its the middle "1/2"
so the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
We have given that,
The players sold between 8 and 16 popcorn tins,
If you look at the box, the middle number is 12, or since it's the middle 1/2.
What is the fraction?
Fractions represent equal parts of a whole or a collection. Fraction of a whole When we divide a whole into equal parts, each part is a fraction of the whole.
So the fraction would be 1/2, hope this helped.
The fraction of the players sold between 8 and 16 popcorn tins 1/2 percent.
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PLZ SOMEONE HELP RIGHT AWAY!
10x+2(8x+10)
Answer:
26x+20
Step-by-step explanation:
4) What is the probability to draw a black checker from a bag of 6 black
checkers and 4 red checkers, replacing it and drawing another black checker.
Step-by-step explanation:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.
In ΔMNO, the measure of ∠O=90°, NO = 1.8 feet, and OM = 3.6 feet. Find the measure of ∠M to the nearest tenth of a degree.
Answer:26.6
Step-by-step explanation:
delta math right ?
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 135 degrees arc?
Answer:
The answer is 0.235619449 rad m.
I need help on this question I got 145.13 but i dont know what I did wrong
Answer:
145.12
Step-by-step explanation:
3.14 * 16 / 2 + 120
I basically got the same answer
Which number, when raised to the power of 5, equals 2?
Answer:
1.148698
Step-by-step explanation:
The number that will be equal to 2 when raised to the power of 5 is 1.1487.
When raising a particular number to the power of another, It implies that we are multiplying that particular number in the number of places with which the power is being raised.
From the given information:
Let the unknown number be x;SO;
x⁵ = 2We will need to determine the fifth root of 2 in order to eliminate the power of 5 in x.
i.e
[tex]\mathbf{ \sqrt[5]{x^5}=\sqrt[5]{2} }[/tex]
[tex]\mathbf{ x=\sqrt[5]{2} }[/tex]
x = 1.1487
Therefore, we can conclude that the number that will be equal to 2 when raised to the power of 5 is 1.1487.
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Anyone know the answer to this ?
Answer:
no srry
Step-by-step explanation:
I’m really confused can anyone help :(
Answer:
$75Step-by-step explanation:
1 dollar for every 1 ticket.
~~~~~~~~~~~~~~~~~~~~~~~~~~~`
Hope I helped!!!
GL :)
Answer: 75 the other guy is correct
Step-by-step explanation:
Hellohello, if you able to help me then please do. (:
Answer:
g=12
Step-by-step explanation:
3 + g = 15
g = 15-3
g = 12
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
Which description can be written as the expression StartFraction 8 Over 21 n EndFraction?
Answer: It is the quotient of 21 times and number and 8.
Answer:
The answer is "A"
Step-by-step explanation:
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