The standard deviation of the population dataset is 9.35
How to determine the standard deviation?The dataset is given as:
18, 14, 35, 34, 11, 26
Start by calculating the mean using:
Mean = Sum/Count
This gives:
[tex]\bar x = (18+ 14+ 35+ 34+ 11+ 26)/6[/tex]
Evaluate
[tex]\bar x = 23[/tex]
The standard deviation is then calculated using:
[tex]\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n}}[/tex]
This gives
[tex]\sigma = \sqrt{\frac{(18 - 23)^2 + (14- 23)^2 + (35- 23)^2 + (34- 23)^2 + (11- 23)^2 + (26- 23)^2}{6}}[/tex]
Evaluate
[tex]\sigma = \sqrt{\frac{524}{6}}[/tex]
This gives
[tex]\sigma = 9.35[/tex]
Hence, the standard deviation of the population is 9.35
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Consider the graph of the cosine function shown below.
a. Find the period and amplitude of the cosine function
b. At what values of θ for 0 ≤ θ ≤ π 2 do the maximum value(s), minimum values(s), and zeros occur?
Answer:
a. The amplitude should be 2.
The period should be 2\pi.
b. maximum value occurs in (0,1) at x = 0
minimum value occurs in (pi,-1) at x = pi
Step-by-step explanation:
-9/15 - (-5/15)
PLEASE HELP!!
Answer:
-4/15 would be your answer
Step-by-step explanation:
an easier way to recognize this would be to ignore the parenthesis and take the 2 negatives that would then be next to each other, and combine them into a positive, making them -9/15+5/15=-4/15 as your answer.
Given an = a + (n − 1)(d)
and the sequence
2, 9, 16, 23,..., identify the 50th
term in the sequence.
A. 343
B. 345
C. 49
D. 700
Answer:
345hope this helps
Step-by-step explanation:
In 2015, about 895.5 million passengers traveled by plane in the United States. Which value is the best estimate of the number of passengers?
0 8 x 10"
O 8 x 10°
O 9 x 10
O 9 x 10'
Answer:
It is D 9 x 10
Step-by-step explanation:
I'm in need of help with this becuz I don't get it
Answer:
Here is how to solve these!
if u want me to solve them too, tell me in the comments.
Step-by-step explanation:
So, u start off by putting in ur mind that u want to solve for x (or the variable) and u start working on that by that following:
-Step one: Isolate the variable, u should remove anything that is at the same side of the equal sign along with the variable to the other side, you do that by flipping the operation in front of it (flip + to -, flip x to /, and vice versa too) for example, you have 3x=6, u isolate x by dividing 3 by both sides, removing it from the side of x and taking it to the other side.
-Step two: After moving the numbers to the other side, make the operation u should be doing, example is now that u have x= 6/3 u won’t leave it standing there, so u solve, and the answer would be 2
-Step three: Piece everything together, now that u have a side with only one number and a side with only a variable, you know what x really is, which is x=2 and this is how u find x
-Additional step: if ur teacher told u to check if ur answer is correct, u check by substituting the variable (x) with the answer u got (2) and solve the equation u had in the first place normally, if the two sides are equal, ur answer was correct, if they are not, u have to solve it again with more focus
ur welcome :)
brainliest please?
what is X + 1.8 =14.7
Answer:
Step-by-step explanation:
X = 14.7 - 1.8
X = 12.9
Mrs. Wilkinson can buy a 20-ounce box of cereal for 3.60 or a 28-ounce box of cereal for 4.20. What is the better buy? Explain.
Answer:
the 20 ounce box
Step-by-step explanation:
because its less money per ounce
The volume of this right prismis 2500 What is the hegt, z. of the prisma Enter your answer to the bou X=
Answer:
10 units.
Step-by-step explanation:
Given:
[tex]\text{Volume of prism = 2500 units}^{3}[/tex][tex]\text{Length: 25 units}[/tex][tex]\text{Width: 10 units}[/tex]Formula:
[tex]\text{Volume of rectangular prism = Length} \times \text{Width} \times \text{Height}[/tex]
Substitute the length, width, and the volume of the prism in the formula
[tex]\implies \text{2500 = 25} \times 10 \times \text{Height}[/tex]
Divide 25 × 10 to both sides of the equation to isolate "Height"
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \dfrac{25 \times 10 \times \text{Height}}{25\times 10}[/tex]
[tex]\implies \dfrac{\text{2500}}{25 \times 10} = \text{Height}[/tex]
Simplify the left hand side of the equation
[tex]\implies \dfrac{{25 \times 10 \times 10}}{25 \times 10} = \text{Height} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [2500 =25 \times 10 \times 10][/tex]
[tex]\implies \dfrac{{10}}{1} = 10 = \text{Height}[/tex]
Therefore, the measure of the height is 10 units.
Find the area of the rhombus. d=12 m; d1=22 m The area of the rhombus is Im?
The area of the rhombus is 132m
Formula for area of a rhombus:
Area= p * q/2
Where p = diagonal
q= diagonal
Area of the rhombus = 12 * 22/2
=132m
Twenty five percent of grade 8 students enrolled in a summer school review
course. Fifty percent of grade 8 students found grade 8 much more difficult
than grade 7. If taking a summer school review course and finding grade 8
more difficult are independent events, what percent of those who took the
review course found grade 8 much more difficult than grade 7?
25%
10%
12.5%
18%
Answer:
25 uo
Step-by-step explanation:
Statement is not the same thing
A mug has a diameter of 9 centimeters and a height of 11 centimeters.
Which of the following is the closest to the volume of the mug?
Answer: g
Step-by-step explanation:
If 5 times a number increased by 30 is 15, what is the number?
9
3
-3
-15
Answer: -3
Step-by-step explanation:
5 times -3 is -15
-15 + 30 is 15
Black bird starts his flight path from (2, 0). his flight path reaches a maximum height of 20 yards and lands at point (38, 0).
The maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
We have:
The blackbird starts his flight path from (2, 0). His flight path reaches a maximum height of 20 yards and lands at point (38, 0).
Here the bird path will be a parabola with a maximum height of 20 yards.
The total horizontal distance traveled by the bird = The distance between the points (2, 0) and (38, 0)
= √(38-2)²
= 36 yards
Thus, the maximum height is 20 yards and the total horizontal distance is 36 yards, which is the distance between the point (2, 0) and (38, 0).
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42divided by 7-(1x12)=
My calculator said the answer was -6
Hillsboro is 6 miles due north of the airport, and Middletown is 5 miles due east of the airport. How far apart are Hillsboro and Middletown?
Answer:
Approximately 7.81 miles apart.
Step-by-step explanation:
If you were to draw lines between the three points, you would see that it makes a triangle, with leg lengths 6 and 5, like in the attached file.
To find the distance between Hillsboro and Middletown, or the hypotenuse of the triangle, use the Pythagorean Theorem:
6² + 5² = c²
c² = 61
c = √61 = 7.81 miles
Hope this helps!
Simplify the expression.
Answer:
h to the power of 7 im pretty sure
Step-by-step explanation:
Answer:
h^7
Step-by-step explanation:
h^6 . h
h can be written as h^1
Formula : -
a^m . a^n = a^( m + n )
Here,
a = h
m = 6
n = 1
h^6 . h^1
= h^( 6 + 1 )
= h^7
If the radius of a sphere is doubled, does the volume also double? explain.
Answer: No, the volume is eight times as large
Step-by-step explanation:
We will test this. Let the radius equal 4, then we will double it to 8.
4 * 2 = 8
With a radius of 4, the volume is about 268 units³. With a radius of 8, the volume is about 2,145 units³.
2,145 / 268 = 8
The volume is not twice as large, it is eight times as large.
Why is this? In the formula, r is cubed. WIth an example of 2, 2 * 2 * 2 = 8.
I have no idea what this is can someone please help
A storage box is 60 cm long, 45 cm wide, and 30 cm high. The lid is 10 cm high. What is the surface area of the box and its lid?
The formula for the surface area of a rectangular prism (the storage box) is given by: A=2(wl+hl+hw). In this instance, w = width, h = height, and l = length.
We will calculate the surface area of the box and lid by first determining the height with the storage box lid included.
The height is now 40 cm (= 30 + 10). The width is still 45 cm. The length is still 60 cm.
You can fill in these values: A = 2(wl+hl+hw) = 2((45 * 60) + (40 * 60) + (40 * 45)) = 13,800.
(3/4)^4 what is the answer to this in fraction form
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
using the rule of exponents
[tex](\frac{a}{b}) ^{m}[/tex] = [tex]\frac{a^{m} }{b^{m} }[/tex] , then
[tex](\frac{3}{4}) ^{4}[/tex]
= [tex]\frac{3^{4} }{4^{4} }[/tex]
= [tex]\frac{81}{256}[/tex]
Suppose the heights of the members of a population follow a normal distribution. if the mean height of the population is 65 inches and the
standard deviation is 3 inches, 99.7% of the population will have a height
within which range?
a. 59 inches to 71 inches
b. 53 inches to 77 inches
c. 62 inches to 68 inches
d. 56 inches to 74 inches
Answer:
D) 56 inches to 74 inches
Step-by-step explanation:
By the Empirical Rule, 99.7% of data in a normal distribution spread across ±3σ standard deviations from the mean μ.
Hence, the range maximum is μ+3σ = 65+3(3) = 65+9 = 74 inches, and the range minimum is μ-3σ = 65-3(3) = 65-9 = 56 inches
Thus, 99.7% of the population will have a height within the range of 56 inches to 74 inches
please help me due in 1 hour
Answer:
For part A it is 670,000 times 0.02 and that equals 13400 so you add it and it is 683,400
Step-by-step explanation:
Part B is 696,800
Part c is they have to be individual and the years are not all connected. Each year is one more increase
Which sequences are geometric sequences? Check all that apply. Use the graph to answer the questions.
The domain of the sequence is the set of
.
The common ratio is
.
The explicit formula for the sequence is
f(x) =
(
)x − 1.
Answer: natural numbers
3
1, 3
Step-by-step explanation:
The following answers are given below
What is Geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r.
Given function is:
f(x)= x-1
A) The domain is the set of natural numbers.
B) The common ratio is 1.
D) An explicit formula representing the sequence is an =[tex]a_1^{r-1}[/tex]
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Suppose △JMN≅△KQR.
Which congruency statements are true?
Select each correct answer.
∠M≅∠Q
NJ¯¯¯¯¯≅KQ¯¯¯¯¯¯
∠N≅∠M
∠R≅∠K
QK¯¯¯¯¯¯≅MJ¯¯¯¯¯¯
MN¯¯¯¯¯¯¯≅QR¯¯¯¯¯
The congruency statements that are true if triangles JMN and KQR are congruent are:
A. ∠M ≅ ∠Q
E. QK ≅ MJ
F. MN ≅ QR
What are Congruent Triangles?Two triangles that are congruent to each other will have their corresponding angles and corresponding sides congruent to each other.
Thus, since we assume that △JMN ≅ △KQR, all corresponding angles and sides of both triangles must be congruent.
Therefore, the true congruency statements are:
A. ∠M ≅ ∠Q
E. QK ≅ MJ
F. MN ≅ QR
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Which expresses the solutions to x^2 - 10x + 13 = 0
The expression of the solution of the given quadratic equation is gotten as; x = 5 ± 2√3
How to find the root of quadratic Equations?We want to find the solution to the quadratic equation given as;
x² - 10x + 13 = 0
We will use the quadratic formula to get;
x = [-b ± √b² - 4ac]/2a
x = [-(-10) ± √(-10)² - 4(1 × 13)]/2(1)
x = 5 ± (√48)/2
x = 5 ± (4√3)/2
x = 5 ± 2√3
Thus, the solution is x = 5 ± 2√3
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Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the
equation.
If y varies inversely with x, and for y = 1, x = 3, find y when x = 9
a. y(x) - 3x; y(9) - 27
c.
3
; 29.
(9) --
b.
d.
ya
2(x) = 5; (9) - 3
y()-
y(9)
3x
27
Please select the best answer from the choices provided
OA
>
B
Answer:
please see analysis
step by step explanation
[tex]if \: y \: varies \: inversely \: as \: \: as \: x \ \: meanc \\ y = \frac{k}{x} \\ where \: y = 1 \: \: x = 3 \\ 1 = \frac{k}{3} \\ k = 3 \times 1 = 3 \\ equation \: connecting \: x \: and \: y \\ y = \frac{3}{x} \\ finding \: y \: when \: x = 9 \\ y = \frac{3}{9} \\ y = \frac{1}{3} [/tex]
Out of 106 total sophomores, there were forty-eight boys who received either an A, B, or C on their first math test. Out of the twenty-eight total A’s, sixteen girls received A’s. Out of the total fifty-four B’s, thirty girls received B’s. Twelve boys received a C out of the twenty-four total C’s on the test. Which two-way table represents this information? A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 44, 28, 16. The third column is labeled B with entries 84, 54, 30. The fourth column is labeled C with entries 24, 12, 12. The fifth column is labeled Total with entries 106, 58, 48. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 12, 16, 28. The third column is labeled B with entries 24, 30, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 48, 58, 106. A 5-column table has 3 rows. The first column has entries Boys, girls, total. The second column is labeled A with entries 16, 12, 28. The third column is labeled B with entries 30, 24, 54. The fourth column is labeled C with entries 12, 12, 24. The fifth column is labeled Total with entries 58, 48, 106.
Answer:
the 2nd chart. chart B.
Step-by-step explanation:
edge 2022
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
Option B is the correct answer.
What is the two-way table?A two-way table is a table used to display the frequency distribution of two categorical variables.
It is also called a contingency table because it helps to examine the relationship between two variables, to see if they are dependent or independent.
We have,
A 5-column table has 3 rows.
The first column has entries Boys, girls, total.
The second column is labeled A with entries 12, 16, 28.
The third column is labeled B with entries 24, 30, 54.
The fourth column is labeled C with entries 12, 12, 24.
The fifth column is labeled Total with entries 48, 58, 106, represents the given information.
To understand why this is the correct two-way table, let's go through each row and column of the table:
The first row of the table shows the number of boys and girls who took the test, as well as the total number of students.
We are told that there are 106 total sophomores, so the entry in the "total" column is 106.
We are also told that there are 48 boys who received an A, B, or C on the test, so the entry in the "total" column for boys is 48.
Subtracting this from the total number of students gives us the number of girls:
106 - 48 = 58.
The second row of the table shows the number of students who received an A on the test.
We are told that there are 28 total A's, and out of those, 16 were received by girls.
This means that 28 - 16 = 12 A's were received by boys.
Therefore, the entries in the "A" column are 12 for boys and 16 for girls, which matches the table.
The third row of the table shows the number of students who received a B on the test.
We are told that there are 54 total B's, and out of those, 30 were received by girls.
This means that 54 - 30 = 24 B's were received by boys.
Therefore, the entries in the "B" column are 24 for boys and 30 for girls, which matches the table.
The fourth row of the table shows the number of students who received a C on the test.
We are told that there are 24 total C's, and out of those, 12 were received by boys.
This means that 24 - 12 = 12 C's were received by girls.
Therefore, the entries in the "C" column are 12 for boys and 12 for girls, which matches the table.
Thus,
The two-way table with 5 columns and 3 rows, where the first column is labeled Boys, girls, total, and the entries in the columns match the ones in the second option.
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a Watch help video
The table displays
the scores of students on a recent exam. Find the mean of the
scores to the nearest 10th.
Score Number of Students
65
1
70
2
75
8
80
6
85
9
90
7
95
6
all sum num/n
65+1+70+2+75+8+80+6+85+9+90+7+95+6/14
599/14
mean=42.7
URGENT: Determine the equation of the circle graphed below.
Answer:
[tex](x - 6)^2 + (y - 7)^2 = 4[/tex]
Step-by-step explanation:
The centerpoint (a,b) is (6,7), the radius r is 2. Both can be read from the graph.
With that you can fill in the standard equation of a circle:
[tex](x-a)^2 + (y-b)^2 = r^2[/tex]
more than one answered
Select the correct pairs of triangles, The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
The pair of triangles that are similar to each other will be given below.
Triangle 1: 55°, 45° and Triangle 2: 55°, 80°.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105°.
What are similar triangles?If any two angles of triangles are equal then the triangles are known as similar triangles.
The measures of two angles of pairs of triangles are given.
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
They are similar triangles.
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Answer:
Triangle 1: 55° and 45°, then the third angle will be 80°.
Triangle 2: 55° and 80°, then the third angle will be 45°.
They are similar triangles.
Triangle 1: 105° and 23°, then the third angle will be 52°.
Triangle 2: 52° and 105°, then the third angle will be 23°.
