Answer:
8.19
Step-by-step explanation:
Adding 5 points to each score in the sample has no effect on the standard deviation. The standard deviation remains the same and constant.
Therefore, the standard deviation for the new sample is 8.19
You can use the fact that standard deviation is a measure of variation.
The standard deviation of the new sample will be same as the old standard deviation, which is 8.19
What does standard deviation measure?Standard deviation measures how much the data points vary or disperse from the mean of the data.
The standard deviation is calculated as:
[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}[/tex]
How to know the standard deviation of the new sample if each score was increased by 5 points?Since each score was increased by 5 points, we have the mean increased by 5 point too
[tex]\overline{x} = \dfrac{1}{n}\sum(x_i) \\\\x_i -> x_i + 5\\\\\overline{x} = \dfrac{1}{n}\sum(x_i + 5) = \dfrac{5n}{n} + \dfrac{1}{n}\sum(x_i) = 5 + \dfrac{1}{n}\sum(x_i)[/tex]
Putting new mean and new values in the standard deviation formula, we get:
[tex]\sigma = \sqrt{\dfrac{\sum (\overline{x} + 5 - x_i - 5)^2}{n}} = \sqrt{\dfrac{\sum (\overline{x} - x_i)}{n}\\[/tex]
Thus, standard deviation won't change and will stay same as before.
Thus,
The standard deviation of the new sample will be same as the old standard deviation, which is 8.19
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Jose wrote the number 36 if his rule is at 6 what is the fourth number in Jose's pattern
Answer:
54
Step-by-step explanation:
1. 36
2. 42
3. 48
4. 54
Geometric mean between 7 and 36
Answer:
15.874507866388
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X
represent the number of 1s that are spun. What are the mean and standard deviation of X?
O Wx = 1, 0x = 1.29
O x = 2,04 = 1.29
OH, = 2,0x = 1.67
O Mx = 10,0x = 2.78
Answer:
b) μ = 2 and σ = 1.29
Step-by-step explanation:
Step(i):-
Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6
Given that the probability of labelled '1'
[tex]p = \frac{1}{6}[/tex] =0.16
q = 1-p = 1- 0.16 = 0.84
Let 'X' be a random variable in binomial distribution
The mean of the binomial distribution
μ = n p
μ = [tex]12 (\frac{1}{6} ) = 2[/tex]
The mean of the binomial distribution = 2
Step(ii):-
The standard deviation of X
σ [tex]= \sqrt{npq}[/tex]
σ = [tex]\sqrt{12(0.16)(0.84}[/tex]
σ = [tex]1.269[/tex]
The standard deviation of the binomial distribution
σ = [tex]1.269[/tex]
Answer:
b
Step-by-step explanation:
Find the product.
902 x 27
A. 18,054
B. 20,354
C. 25,254
D. 24,354
East Port Tier City is the capital city of Jeswia, a small island nation in the Indian Ocean. Joswlais
4.5 hours ahead of UTC and does not observe daylight oving time. What is the time difference
between East Port Tier City and Phoenix
East Port Tier City is
Phoenix
Lim
Answer:
East Port Tier City is 11.5 hours ahead of Phoenix.
Step-by-step explanation:
Given that the city of Phoenix, Arizona is located in the UTC -7 time zone, while East Port Tier City is located at UTC +4.5, to determine the time difference between the two cities, the following calculation must be performed:
4.5 - (-7) = X
4.5 + 7 = X
11.5 = X
Thus, the time difference between Phoenix and East Port Tier City is 11.5 hours.
what two letters don't appear on the telephone dial
Answer:
Step-by-step explanation:
Q and X
On a telephone dial, the letters "Q" and "Z" do not appear. The dial was designed to include commonly used letters and numbers, prioritizing efficiency and simplicity in dialing.
On a traditional telephone dial, there are two letters that do not appear:
The letter "Q" does not appear on the telephone dial. This omission is because the letter "Q" is not necessary for dialing phone numbers or for any commonly used telephone functions.
The letter "Z" is also absent from the telephone dial. This omission is because the letter "Z" is not needed for dialing phone numbers and is not commonly used in telephone-related applications.
The layout of the telephone dial was designed to accommodate the most frequently used letters and numbers while minimizing the number of keys. This design decision was made to ensure efficiency and simplicity in dialing numbers and accessing telephone services.
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Haley and Lucas go to the candy store and each buy some candy. Haley buys c pieces of candy while Lucas bought 7c pieces. What information can we gather about the relationship between the number of pieces of candy Haley and Lucas bought?
A ratio shows us the number of times a number contains another number. Lucas buys 7 times the number of candies that Haley bought.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given Haley buys c pieces of candy while Lucas bought 7c pieces. Therefore, the number of candies bought by Haley and Lucas is in a ratio of 1:7.
It can also be concluded that the number of candies Lucas buy is 7 times of the number candies bought by Haley.
Hence, Lucas buys 7 times the number of candies that Haley bought.
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y is inversely proportional to X.
When y
20, x = 2
Work out y when x = 5
Answer:
When x = 5, y = 8.
Step-by-step explanation:
y is inversely proportional to X.
This means that we solve this using the rule of three for inversely proportional variables, that is, we apply line multiplication instead of cross multiplication.
y = 20, x = 2
Work out y when x = 5
20 - 2
x - 5
Applying line multiplication
[tex]5y = 40[/tex]
[tex]y = \frac{40}{5}[/tex]
[tex]y = 8[/tex]
When x = 5, y = 8.
Hurry I need the answer on how u got it and ill give u the brainlest if its correct
1. While doing construction on your new house, you notice that it takes 6 minutes to put up 22 shingles on the roof. Which one of the following is a correct sentence to describe the ratio of minutes to shingles?
Group of answer choices
There are 3.7 minutes for every 1 shingle put on the roof.
For every 3 minutes, there are 11 shingles put up.
There is 1 minute for every 0.27 of a shingle.
It takes 3.7 minutes to put up 22 shingles.
2..A researcher decides to study study frogs in a local forest. Funding for his project says:
2.For every 8 hours in the office, you will be allowed 100 minutes in the forest.
Which of the following is the correct ratio of forest to office time?
Group of answer choices
4.8
0.2083
12.5
0.08
3.Which of the following is equivalent to the ratio 5?
You don't have to show work for this problem.
Group of answer choices
1:5
5 to 1
1/5
0.2
4.Consider the number: 105,279,083,000
Which digit is in the ten billions place?
You don't have to show work for this problem.
Group of answer choices
7
5
9
0
5.Write the following number in correct scientific notation: 13.8 billion
You don't need to show work for this problem, but it's a good idea.
Group of answer choices
1.38 x 10^-10
1.38 x 10^10
13.8 x 10^9
1.38 x 10^7
Answer:
1. The first statement is true
2. Answer will be 0. 2083
3. 1: 5
4. 0 takes in ten billions place
5. 1.38 * 10^10
Hope this helped
Correct me if i'm wrong
All the best !!
Select the correct answer.
Identify the expression equivalent to 4(x + x + 7) − 2x + 8 − 4 by substituting x = 1 and x = 2.
A.
6x + 11
B.
3(x + 7)
C.
2(3x + 16)
D.
3x + 16
What is the product of 3 1/5 and 5/8 in simplest form
Answer:
2
Step-by-step explanation:
3 1/5 * 5/8
First, change 3 1/5 into an improper fraction.
3 1/5 = 16/5
Then, substitute it into the original equation.
16/5 * 5/8
Multiply the numerators and denominators.
16*5 / 5*8 = 80 / 40 = 2
solve by elimination
x+5y=-13
2x-5y=-20
Answer: x+5y=-13= (x=−5y−13)
2x-5y=-20= (x=5/2y-10)
Step-by-step explanation: The answers are labeled in parenthesis. According to my calculations, this is what I got. Sorry for any inconvenience.
Answer:
x+5y=-13 ......(1)
2x-5y=-20..........(2)
adding equation 1 and 2
x+5y+2x-5y=-13-20
3x=-33
x=-33/3=-11....answer
multiplying equation 1 by 2 and adding equation 1&2
2x+10y-2x-(-5y)=-26-(-20)
10y+5y=-26+20
15y=-6
y=-6/15=-2/5......answer
It takes 26 pounds of seed to completely plant a 4-acre field.
How many acres can be planted per pound of seed?
Answer:
0.153846154
Step-by-step explanation:
26 pounds for 4 acres
1 pound will need less acres
A model of a lighthouse has diameter 8 inches and height 18 inches. If the
actual diameter of the lighthouse is 20 feet, find its actual height.
Answer:
45 feet.
Step-by-step explanation:
Given that a model of a lighthouse has diameter 8 inches and height 18 inches, and the actual diameter of the lighthouse is 20 feet, in order to find its actual height, the following calculation has to be made:
20 feet = 240 inches
240 / 8 = 30
Scale ratio: 1:30
18 x 30 = 540
540 inches = 45 feet
Therefore, the actual height of the lighthouse is 45 feet.
Answer:
45 ft
Step-by-step explanation:
What is the area of this figure?
A 806.5
B 1159.5
C 2268.5
D 4174.5
Answer:
Step-by-step explanation:
A806.5
Answer:
806.5 answer
Step-by-step explanation:
Definition: The number to which a base is raised to is called the___ this tells you how many times to multiply the base together
Answer:
power or give me the answer choices
Step-by-step explanation:
sinA•cosA•tanA+cosA-SinA.cotA give answer pls
Answer:
Step-by-step explanation:
Tan A = Sin A/Cos A
Cot A = Cos A / Sin A
Sin A*Cos A * tan A + Cos A * Sin A * Cot A
[tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]
what is the fraction for ⅜
Answer:
3/8 % = 37.5 %
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
Please help me write the equation of a line that passes through the point ( -1, 5) and has a slope of -7
Answer:
y = -7x - 2
Step-by-step explanation:
use y = mx + b
y = y-coordinate = 5
m = slope = -7
x = x-coordinate = -1
b = y-intercept = the only missing piece/what we're solving
usually, for an equation, x and y stay as variables, but to find the y intercept we need to plug in the coordinates:
5 = (-7)(-1) + b multiply -7 and -1
5 = 7 + b subtract 7 from both sides
b = -2
plug b into the equation and leave x and y as variables:
y = -7x - 2
HELP ME Which of these tables represents a function?
A. W
B. X
C. Y
D. Z
Solve for all values of x by factoring. x^2 −2x−4= -2x+5
Answer:
-3 and 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]
Solve for x
Your answer must be simplified.
x + 5 <_4
Answer:
x > 125
Step-by-step explanation:
Pre-Algebra
Order of Operations: PEMDAS
Equality Properties
Step-by-step explanation:
Step 1: Define inequality
x/25 > 5
Step 2: Solve for x
Multiply 25 on both sides: x > 125
Here we see that any number x greater than 125 would work as a solution.
Which graph represents the solution set for the inequality 7.5 < x?
Att +
-10-9-8-7 -6 -5 -4
+
-1 0
+
3 4
++++
7 8 9 10
-3-2
О
1
2.
5
6
-10-9-8-7 -6 -5 -4
LO
-32
-1
0 1
2
3
4
5
6
7 8 9 10
-3 -2 -1 0 1 2 3
-10-9-8-7 -6 -5 -4
4 5
6
7
8 9 10
AHHO++
-10-9-8-7 -6
-2
0 1
- 1
2
3
4
5
6
7
8 9 10
9514 1404 393
Answer:
(a)
Step-by-step explanation:
The appropriate graph is the one that has x-values greater than 7.5 shaded. That is the meaning of ...
7.5 < x
Help plz:)))I’ll mark u Brainliest
Answer:
x = 6
Step-by-step explanation:
Since the given triangles ΔLMN and ΔCBQ are similar,
Their corresponding sides will be proportional.
[tex]\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}[/tex]
Since, [tex]\frac{LM}{CB}= \frac{MN}{BQ}[/tex]
[tex]\frac{(5x-6)}{6}=\frac{52}{13}[/tex]
5x - 6 = 24
5x = 30
x = 6
Therefore, x = 6 will be the answer.
Jake’s water bill is $24.80 per month plus $2.20 per ccf (hundred cubic feet) of water. What is the maximum number of ccf Jake can use if he wants his bill to be no more than $60?
Answer:
60-24.80=35.20
35.20/2.20=16
16ccf
Step-by-step explanation:
I need someone to teach me how to solve this
Answer:
t + 40 = 90
Step-by-step explanation:
90 minutes volunteering
40 minutes delivering flowers
90 - 40 = number of minutes answering phone (50 minutes)
so, t = 90 - 40 or rearranged to t + 40 = 90
hello what's the answer how did u get it
1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Reminder: Upload paperwork to IvyLearn right after you finish the test (a few questions from now!)
Course Credits Grade
Sociology 3.0 A
Calculus 4.0 F
New Student Seminar 1.0 C
Physics 5.0 A
2.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place.
Weight Average
Homework30% 95
Projects 15% 80
Tests 50% 77
Attendance 5% 50
Write the coordinates of the vertices after a rotation of 180 degrees counterclockwise around the origin.
Rotating a point 180 degrees in the coordinate system just reverses the signs of the original coordinates. L=(8,-6), M=(8.-1), N=(5,-3) become L=(-8,6), M=(-8,1), N=(-5,3)
y= -x^2+10x-25 in factored form and what is the x intercept
Step-by-step explanation:
X-intercept, y = 0
0 = -x² + 10x - 25
-x² + 10x - 25 = 0
-(x² - 10x + 25) = 0
x² - 10x + 25 = 0
(x - 5)(x - 5) = 0
x = 5
(5,0)
a=6
b=9
c=
the measure of c is?