Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
The mean of the data is also known as average.
Given the set of data 0, 2, 1, 2, 5
Mean = 0+2+1+2+5/5
Mean = 10/5
Mean = 2.0
To get the standard deviation, we will use the SD formula as shown:
[tex]\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }[/tex]
[tex]\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma = \sqrt{\frac{14}{5} }\\\sigma = 1.673[/tex]
Comparing this with Roberto's calculation, we can see that Roberto did not include the first term of the numerator (0-2)^2 in his calculation.
Learn more here: https://brainly.com/question/10557301
Answer:
B
Step-by-step explanation:
find the whole number quotient and remainder for 52 divided by 8
Answer:
6.5
Step-by-step explanation:
Answer:
6.5
Step-by-step explanation:
Using a calculator, if you typed in 52 divided by 8, you'd get 6.5. You could also express 52/8 as a mixed fraction: 6 4/8. If you look at the mixed fraction 6 4/8, you'll see that the numerator is the same as the remainder (4), the denominator is our original divisor (8), and the whole number is our final answer (6).
Use a table to find (5g + 3)(g + 8).
Answer:
5g(g + 8) + 3(g + 8)
5g² + 40g + 3g + 24
5g² + 43g +24
Peter increased the amount of crunches he did from 32 to 36. By what percentage did Peter increase the amount of crunches he completed?
A 30%
B 12.5%
C 20%
D 22.5%
9514 1404 393
Answer:
B 12.5%
Step-by-step explanation:
The percentage change is calculated as ...
% change = ((new value)/(old value) -1) × 100%
= (36/32 -1) × 100% = 1/8 × 100% = 12.5%
Peter increased his crunches by 12.5%.
Express √ − 25 as a complex number: √ − 25 =
Answer:
5i
Step-by-step explanation:
i² = -1
[tex]\sqrt{-25}[/tex] = [tex]\sqrt{i^{2} 25 }[/tex]
= [tex]\sqrt{i^{2} }[/tex] ·[tex]\sqrt{25}[/tex]
= i · 5
= 5i
-12x + 12 = -3(5x + 8)
Answer:
mememememwmwnwmwnwnwjkwjw
QUESTION 6
Use the formula for simple interest to find the interest rate if a deposit of $1400 earned $ 490 of interest after 5 years
9514 1404 393
Answer:
7%
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . where P is the principal, r is the rate, and t is the number of years
Filling in the given values, we can solve for r.
490 = 1400·r·5
490/7000 = r = 0.07 = 7%
The interest rate was 7%.
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
0=0
1=8
2=10
^^^^
I don't know what the graph is asking if you want to graph the equation y=2x+6 the two points are (0,6) and (1,8)
A car travels 240 km on 20 liters of petrol. how many litres of petrol is needed to travel 600 km
Answer:
50 L of petrol is needed to travel 600 km.
Step-by-step explanation:
The car travels 1 km in 20/240 L of petrol.
Then,
Petrol needed to travel 600 km
20/240 × 600
20/24 × 60
20/4 × 10
5 × 10
= 50 L
Answer:
50 liters
Step-by-step explanation:
Petrol needed to travel 240 Km = 20 liters
Petrol needed to travel 1 Km = 20/240
Petrol needed to travel 600 Km = [tex]\frac{20}{240} * 600[/tex]
= 50 liters
Find the domain and solve: √(6+x−x2)=9
Step-by-step explanation:
√(6+x−x²)=9
the domain :
6+x-x² ≥ 0
(3-x)(2+x) ≥0
-2 ≤ x ≤ 3
problem solving:
√(6+x−x²)=9
6+x−x²=81
-x²+x+6-81 = 0
-x²+x-75 = 0
x²-x+75 = 0
D = 1² -4(1)(75) = 1-300 = -299
since D < 0, the equation doesn't have any real numbers solution
Hi again for the millionth time, please help on this, Select each correct answer.
Answer:
a
Step-by-step explanation:
Hi, really need help on this last question for the night, heeeeelp pls.
Answer:
Move it 2 places to the right.
Step-by-step explanation:
The magnitude of the exponent of 10 tell you how many places to move
The sign of the exponent of 10 tells you the direction.
Positive, decimal moves right.
Negative, decimal moves left.
can someone help me with this question polynomials:
please help me with this assignment
Answer:
ok but what does p =?
Step-by-step explanation:
Determine if the leading coefficient of the following function is positive or negative and whether the function has a minimum or maximum vertex point.
Answer:
The function has a negative leading coefficient and a maximum vertex point
Explanation:
This function's leading coefficient is determined by whether it is concave up or concave down, meaning it has an Up and Up end behavior for a positive leading coefficient and a Down and Down end behavior for a negative coefficient.
This function's end behavior is Down and Down, so it must have a negative leading coefficient.
The function has a minimum vertex when the function has a positive leading coefficient and a maximum vertex point when the function has a negative leading coefficient.
This means that the functions vertex is the highest or lowest possible value of the function (the rest of the function continues forever in whichever direction.
This particular function has a maximum vertex as there is no point above the vertex here and the function has a negative leading coefficient.
Answer:
Leading coefficient: negative
Maximum vertex point
Step-by-step explanation:
Suppose flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = -16t4 + 160t
120 models the h height at t seconds of the flare. How long it will it take for the flare to hit the ground? (to the nearest tenth of a second)
Sketch the graphs. - 2x + 3y = -1
Answer:
Step-by-step explanation:
y =2/3x + 1/3
slope 2/3
y-intercept: (0 ,1/ 3)
Answer:
Step-by-step explanation:
- 2x + 3y = -1 is the equation of a line
Pick any values for x then find y or for y and then find x;
if you have two points you can draw a line trough those two points.
For example,
pick x= -1 then find y
- 2*(-1) + 3y = -1
2+ 3y = -1
3y = -1-2
y= -3/3
y= -1
First point has the coordinates (-1, -1)
pick y = 1 then find x
- 2x + 3*1 = -1
-2x +3 = -1
-2x = -1-3
-2x = -4
x= -4/-2
x= 2
Second point has the coordinate (2, 1)
Draw a line trough the points (-1, -1) and (2,1) to sketch the graph of -2x+3y = -1
is y=8+x proportional?
Answer: No, it is linear
Explanation: The constant is +8, meaning the y intercept is 8. Proportional lines go through (0,0), but this line goes through (0,8).
I’ll give BRAINLIEST
Answer:
-3/2
Step-by-step explanation:
Slope: (y₂ - y₁) / (x₂ - x₁)
Plug the given points into this formula:
(-4 - 5) / (8 - 2) =
(-9) / (6)
-3/2
Help this is due tomorrow
Answer:
X=15
Step By Step Explanation:
WILL MARK BRAINIEST IF YOU HELP!!
PLEASE HELP WILL MARK BRAINLEST
Answer:
the answer is A
Step-by-step explanation:
48 x 2 = 96
33 x 3 = 99
99 + 96 = 195
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.
The yellow line I drew is the line of reflection.
the area of a rectangular place mat is 98 inches its length is seven inches longer than the width. find the length and width of the place mat
A
Answer:
width is 7, length is 14
Step-by-step explanation:
x(x+7) = 98
x^2 + 7x = 98
x^2 + 7x - 98 = 0
( x + 14 )( x - 7 ) = 0
x+14=0 results in negative measures
x-7=0 ---> x= 7
width is 7, length is 14
Solve the equation for x −6x=−222
Answer:
x = 37
Step-by-step explanation:
-6x = -222
Divide each side by -6:
x = 37
Answer: exstract form= 222/5
decimal form= 44.4
mixed number= 44 2/5
Step-by-step explanation:
Evaluate; tan^2 60 - sin^2 45.
Answer:
tan^2 60 - sin^2 45
= (√3)^2- (1/√2)^2
= 3-1/2
= 6-1/2
= 5/2
Answer:
[tex]\frac{5}{2}[/tex]
Step-by-step explanation:
The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)
tan^2 (60) - sin^2 (45)
[tex]=(\sqrt{3})^2-(\frac{1}{\sqrt{2}} )^2\\=3-\frac{1}{2}\\ = \frac{5}{2}[/tex]
what is 2 × 56 multiplying fraction
Answer:
2 x 56 = 112
This is because 56 + 56 = 112
Hope this helps! :]
The width of the class intervel 125-150 is ____
Answer:
thaks for point
Step-by-step explanation:
tell me if im wrong
histogram can be drawn for equal and unequal classes. True/False
Answer:
False
Step-by-step explanation:
Histogram cannot be drawn for equal and unequal classes. Therefore, the statement is false.
Histograms simply means a graphical representation that is used for organizing groups of data. It should be noted that Histogram cannot be drawn for equal and unequal classes. Therefore, the statement is false.Learn more about histograms on:
https://brainly.com/question/2962546
Let X be the event that a person chosen at random from anywhere on earth will live in either Asia, Europe, or South America
What is P(X)?
North
Continent
Africa
South
America
Asia
Europe
America
Oceania
Population
distribution
0.23
0.08
0.06
0.55
0.07
0.01
D
0.45
0
o
o 0.55
0.32
o 0.68
1
2
3
Next
Using probability concepts, it is found that P(X) = 0.68.
The probabilities given are:
0.22 probability of a person living in Africa.0.08 probability of a person living in North America.0.06 probability of a person living in South America.0.55 probability of a person living in Asia.0.07 probability of a person living in Europe.0.01 probability of a person living in Oceania.Event X is the probability of living in either South America, Asia or Europe, thus it's probability is the sum of these three probabilities, that is:
[tex]P(X) = 0.06 + 0.55 + 0.07 = 0.68[/tex]
Hence, P(X) = 0.68.
A similar problem is given at https://brainly.com/question/25227627
Answer:
0.68
explanation:
you're adding the numbers on the graph together
South America = 0.06
Europe = 0.07
Asia = 0.55
0.06 + 0.07 + 0.55 = 0.68
2 QUESTIONS 50 POINTS!!! Question 1: A car's odometer starts at 25 miles and for every 25 miles traveled, 1 gallon of gas is used. Based on this information, which graph best shows this relationship between the miles traveled, y, and the gallons of gasoline used, x? Question 2: When a window is open, the temperature in a room falls 5ºF every 15 minutes. Before the window is opened, the temperature was 70ºF .
Use the Ray tool to make a graph that shows the temperature of the room, T, after the window has been open for m minutes.
Answer:
B is for the second one
Step-by-step explanation:
And ik bc i took the test
find the volume of the cone. use 3.14 for pi. round to the nearest tenth.
Answer:
1527.1
Step-by-step explanation:
The formula is:
[tex]l=r2+h2[/tex]
and
[tex]V=πr2*h/3[/tex]