We conducted a research on Peace Royal preparatory school. we took the age of Jhs 1 students 12 13 14 15 16 10 11 15 10 13 12 11 10 14 16 11 10 14 16 11 13 15 10 12 14 13 15 16 10 14 11 10 14 14 15 12 10 12 13 14 16 15 10 13 14 15 15 12 10 14 using the sample Cluster Sampling solve for Mean Median, Mode ,Standard deviation Skewness ,kurtosis
Answers
we will assume a sample size of 50 and four clusters of equal size (i.e., 12 or 13 students per cluster). Mean: To find the mean, we add up all the ages and divide by the total number of students:
(12 + 13 + 14 + 15 + 16 + 10 + 11 + 15 + 10 + 13 + 12 + 11 + 10 + 14 + 16 + 11 + 10 + 14 + 16 + 11 + 13 + 15 + 10 + 12 + 14 + 13 + 15 + 16 + 10 + 14 + 11 + 10 + 14 + 14 + 15 + 12 + 10 + 12 + 13 + 14 + 16 + 15 + 10 + 13 + 14 + 15 + 15 + 12 + 10 + 14) / 50 = 12.56
Therefore, the mean age of the JHS 1 students in the sample is approximately 12.56 years old.
Median:
To find the median, we first need to put the ages in order from smallest to largest:
10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16
Since there are an even number of ages (50), the median will be the average of the two middle values, which are 13 and 14:
(13 + 14) / 2 = 13.5
Therefore, the median age of the JHS 1 students in the sample is 13.5 years old.
Mode:
To find the mode, we need to determine which age appears most frequently in the sample. From the list above, we can see that the age of 10 appears 11 times, which is more than any other age. Therefore, the mode age of the JHS 1 students in the sample is 10 years old.
Standard deviation:
To find the standard deviation, we can use the following formula:
sqrt((sum of (x - mean)^2) / (n - 1))
where x is the age of each student, mean is the mean age we calculated earlier, and n is the sample size.
Using this formula and the ages from the sample, we get:
sqrt(((12 - 12.56)^2 + (13 - 12.56)^2 + ... + (14 - 12.56)^2) / (50 - 1)) = 2.38
Therefore, the standard deviation of the ages in the sample is approximately 2.38 years.
Skewness:
To determine the skewness of the data, we need to calculate the third standardized moment, which is given by the following formula:
(sum of ((x - mean)^3 / stdev^3)) / n
Using this formula and the ages from the sample, we get:
((12 - 12.56)^3
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Related Questions
Find the greatest common factor of 14 and 16
Answers
Answer:
the answer is 2
Step-by-step explanation:
Answer:
Step-by-step explanation:
It is 2, because it is the only factor that can go with both of the numbers.
How much will you need to invest each month to reach a savings goal of $200,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Round your answer to the nearest dollar.
Answers
Answer:
$609
Step-by-step explanation:
5. What is the next term in the pattern?
1,-1, 2, -2, 3, . . .
Answers
Answer: -3
The pattern is 1,-1, 2, -2, 3...
I believe it is -3 since it was first positive, then negative 1, and then positive, then negative 2, thus I think it would be the same for 3.
Answer: -3
Step-by-step explanation:
I Think Answer is -3 because when see this patern 1,-1,2,-2,3
1 is positive and 1 is negative
Hope this help
A recipe calls for 3-toaspoons of mustard seeds. 4 cups of tomato sauco, and 11 cups of beans. You use 2 cups of tomato sauce. How many teaspoons of mustard soods do you
need? How many cups of beans do you need?
Answers
Answer:
1.5 teaspoons of mustard seeds
5.5 cups of beans
Step-by-step explanation:
take half of 3 to get 1.5
take half of 11 to get 5.5
Round 7.954 to the place named.
Hundredths
Answers
Answer:
The answer is 7.95
Step-by-step explanation:
I hope I helped.
estimating the products of decimal numbers 46.6 × 37. 2 =
Answers
37.2≈ 37
47 * 37 = 1739
4x(x + 1) − (3x − 8)(x + 4)
Answers
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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An arborist is preparing the fuel mix for her chainsaw before climbing a tree to remove a dead limb. The two-stroke chainsaw
requires a 5% mix of engine oil to gas-that is, the amount of oil should be 5% of the amount of gas. How much engine oil should
be added to a jerry can that contains 3.8 gallons of gas?
(Type a whole number or a decimal)
Answers
Answer:
To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:
0.05 x 3.8 = 0.19
So, 0.19 gallons of engine oil should be added to the jerry can.
Rocio deposits $3,200 in a one year CD at
3.1% interest, compounded daily. What is
her APY to the nearest hundredth of a
percent?
Answers
The annual percentage yield (APY) of Rocio is 3.11 %
What is Annual Percentage Yield?
The annual percentage yield (APY) is the real rate of return earned on an investment, taking into account the effect of compounding interest.
Given data ,
Deposit amount of Russ = $ 3200
Interest rate R = 3.1 %
And it is given that the interest rate is compounded daily , so
Interest rate R = 3.1 % / 365
= 0.031 / 365
= 0.000084
Now , The annual percentage yield (APY) is calculated as
The interest amount = 3200 x ( 1 + 0.000084 )³⁶⁵
= 3200 x ( 1.000084 )³⁶⁵
= 3200 x 1.031133
= 3299.6272
≈ 3299.627
Therefore , the interest will be
= 3299.627 - 3200
= $ 99.627
Now , the annual percentage yield (APY) is given by
= Interest / Deposit
= 99.627 / 3200
= 0.03113
≈ 3.11 %
Hence , annual percentage yield (APY) of Rocio is 3.11 %
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Randy and Wade started riding their bikes at
noon heading toward each other and 60 km
apart. If Randy was riding 4 km/h faster than
Wade, how fast was each riding if they met
each other at 1:30 pm?
Answers
Answer:
Wade was riding at a speed of 1.574803E8 mi and randy was 2.2047224E9 mi
Step-by-step explanation:
Wade's speed is 18 km/h,
And Randy's speed is 22 km/h.
Given that,
Randy and Wade started riding their bikes at noon heading toward each other and 60 km apart.
Now, for the speeds at which Randy and Wade were riding, we need to consider the time it took for them to meet and the distance they covered.
Let's assume Wade's speed is "x" km/h.
Since Randy was riding 4 km/h faster, his speed would be "x + 4" km/h.
Now, for the formula:
Distance = Speed x Time.
Wade's distance covered = Wade's speed x Time
= x km/h × 1.5 hours
= 1.5x km.
Randy's distance covered = Randy's speed x Time
= (x + 4) km/h × 1.5 hours
= 1.5(x + 4) km.
Since they were riding towards each other, the sum of their distances covered should be equal to the total distance of 60 km:
1.5x + 1.5(x + 4) = 60.
Simplifying the equation:
1.5x + 1.5x + 6 = 60
3x + 6 = 60
3x = 54
x = 18.
Therefore, Wade's speed is 18 km/h,
And Randy's speed is,
18 + 4 = 22 km/h.
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MAX POINTS AND A BRAINLYEST! Show work!!!
P = 2w + 21
Answers
\(\huge \bf༆ Answer ༄\)
Let's solve ~
\( \sf{}p = 2w + 2l\)\( \sf{}2w = p - 2l \)\( \sf{}w = \dfrac{p - 2l}{2} \)\( \sf w = \dfrac{p}{2} - l \)Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
Answers
18. Multiply, then check your work by switching factors.
a. 693 x 83
b. 910 x 45
c. 38 x 84
d. 409 x 89
Answers
The requried, Multiplies(with switching factors.) area given below,
a.
693 x 83 = 57489
83 x 693 = 57489
The answer is 57489.
b.
910 x 45 = 40950
45 x 910 = 40950
The answer is 40950.
c.
38 x 84 = 3192
84 x 38 = 3192
The answer is 3192.
d.
409 x 89 = 36401
89 x 409 = 36401
The answer is 36401.
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Add.
(6p + 5) + (2p + 7)
Answers
Answer:
=8p+12
Step-by-step explanation:
(6p+5)+(2p+7)
=6p+5+2p+7
=6p+2p+5+7
=8p+5+7
=8p+12
Answer:
8p + 12
Step-by-step explanation:
=> (6p + 5) + (2p + 7)
=> 6p +5 + 2p + 7
=> 8p + 12...ans
The table represents the function f (x) = 3x - 1
Use the drop-downs to choose the values of a, b, and c
to complete the table
x
f (x)
a.
--5
V
b =
a
G=
-2
-7
4
b
8
с
Answers
Answer:
A=-16 B = 11 C= 23
Step-by-step explanation:
I got the answer
help me please please please
Answers
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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- At a state fair, every go-kart goes at most 40 mi/h.
» Let s represent the speed of a go-kart.
Which inequality represents the situation?
s > 40
s < 40
S < 40
s > 40
Answers
Answer:
s < 40
Step-by-step explanation:
Actually, a better answer is \(s \le 40\).
"At most" means the speed must not be more than 40 (technically, 40 is OK).
If the speed is not more than 40, then it must be 40 or less.
The only one of your choices that's close enough is s < 40.
100 Points! Multiple choice Geometry question. Photo attached. Thank you!
Answers
Answer:
2. C. 50.3 ft²
3. A. 75.4 ft²
Step-by-step explanation:
The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:
Lateral Surface Area = 2πrh
Where:
r is the radius of the baseh is the height of the cylinderThe total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:
Total Surface Area = 2πrh + 2πr^2
Where:
r is the radius of the baseh is the height of the cylinder2.
r=2 ft
h=4 ft
Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²
3.
Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2
=50.3+25.1=75.4 ft²
Write the inverse function for the function, ƒ(x) = 1/2 x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answers
Answer:
\( {f}^{ - 1} (x) = 2x - 8\)
\( {f}^{ - 1} (4) = 0\)
Step-by-step explanation:
\( y = \frac{1}{2} x + 4 = = = > \\y - 4 = \frac{1}{2} x = = = > \\ 2y - 8 = x = = > {f}^{ - 1} (x) = 2x - 8\)
\( \frac{1}{2} x + 4 = 4 = = = > \\ \frac{1}{2} x = 0 = = = > x = 0\)
The value in dollars, v(x), of a certain car after x years is represented by the equation vx=25,0000.86x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Answer: The car is worth $ 2,588.6 after two years than after 3 years.
Step-by-step explanation:
x=2
v(x)=25,000(0.86)^2
v(x)=18,490
x=3
v(x)=25,000(0.86)^3
v(x)=15,901.4
18,490 - 15,901.4= 2588.6
4. The cases when one of the artists is out is useful for determining domain and range because it shows the most number of hours one would need to work when the other person works 0 hours. Recall that Philipe draws 3 per hour, Claude draws 4 per hour, and their goal is to draw a combined total of 60 caricatures per day. Let C' be the horizontal axis and P be the vertical axis.
Answers
One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.
The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).
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What
is an arithmetic sequence with a common difference of −2?
Answers
Answer:
An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.
To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.
Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is
20,18,16,14,12
In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.
Today's number :10. Skill:exponents. What do i do here ?
Answers
Step-by-step explanation:
Okay, so the term "exponent" is a number on the top right corner of a number that tiny number AND/OR a tiny ^ in the middle of two numbers. An exponent means how many times you multiply it by itself. Here's an example:
10^2 is the same as 10x10
=100
So if the number is 10, then your teacher should give you the exponent number so you can know how many times you should multiply the number 10 by itself.
Figure I and figure II are similar Pentagon's. which proportion must be true and why?
Answers
Answer:
C
Step-by-step explanation:
Any two polygons are similar if their corresponding angles are congruent and the measures of their corresponding sides are proportional: In the figure above the ratio or the scale factor of the quadrilateral to the left versus the quadrilateral to the right is ½.
Answer:
“C”
Step-by-step explanation:
I hope whoever is seeing this will have a great day! :)
has a perimeter of 52 feet. Let W be the width, L be the length, and P be
the perimeter, all with units in feet.
a. Given two sets of four rectangles, find one rectangle in each set that could have a
perimeter of 52 feet.
b. Which of the symbols W, L, and P are variables?
c. Which of the symbols W, L, and P are constants?
Answers
A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.
The symbols W and L are variables.
The symbol P is a constant.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(L + W)
52 = 2(12 + 14)
52 = 2(26)
52 feet = 52 feet.
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find exact value sin^2 40° + cos^2 40°
Answers
Answer:
1 i think i looked it up on mathaway
Step-by-step explanation:
1
In last Quiz, Ahmed answered 24 out of 30 questions correctly. In this quiz he answered 20 out of 24 questions correctly. On which quiz did Ahmed have better results?
Answers
Answer:
He scored better on the second test by a margin of 3%.
Step-by-step explanation:
Find the percentage of each one by dividing Ahmed's score / Total possible score
24/30 = 0.8 > move the decimal place over twice for % > 80%
20/24 = 0.83333 > move the decimal place over twice for % > 83%
He scored 3% better on the second test.
In a lottery, the top cash prize was $642 million, going to three lucky winners. Players pick five different numbers from 1 to 56 and one number from 1 to 49.
Save
A player wins a minimum award of $225 by correctly matching three numbers drawn from the white balls (1 through 56) and matching the number on the gold ball (1 through 49). What is the probability of winning the minimum award?
The probability of winning the minimum award is
Answers
Total number of possible outcomes:
Number of ways to choose 3 numbers from 56 (56 choose 3): 56! / (3! * (56 - 3)!) = 22,957
Number of ways to choose 1 number from 49: 49
Total number of possible outcomes = 22,957 * 49 = 1,128,593
Number of favorable outcomes:
Number of ways to choose 1 number from 49: 1
Number of favorable outcomes = 1
Probability of winning the minimum award:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 1 / 1,128,593 ≈ 0.000000888, or approximately 0.0000888%
HIRRY TIMED!!!!! 20 POINTS!!! PICTURE EXPLAINS IT ALL!!
Answers
Answer:
p = 7
Step-by-step explanation:
trust me
Answer:
p = 7
Step-by-step explanation:
Given value of q = 4 so,
5p - 11 = 6 × 4
=> 5p = 24 + 11
=> 5p = 35
\( = > p = \frac{35}{5} \)
=> p = 7(Ans)
Simplify the given trigonometric expression (sin (30° + x)+sin (30° - x))
Answers
The simplified expression is cos(x) of trigonometric expression (sin (30° + x)+sin (30° - x))
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We can simplify this expression using the sum-to-product formula for sine:
sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
Let's use this formula by setting a = 30° and b = x:
sin(30° + x) + sin(30° - x) = 2 sin(30°) cos(x)
We know that sin(30°) = 1/2, so we can substitute:
sin(30° + x) + sin(30° - x) = 2(1/2) cos(x)
sin(30° + x) + sin(30° - x) = cos(x)
Therefore, the simplified expression is cos(x).
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