Answer:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this question:
According to the empirical rule, 95% of the measures are within 2 standard deviations of the mean. So the correct statement is:
There is a 95% chance that values will be within ±2 standard deviations of the mean.
Tickets to a movie cost $5 for adults and $3 for students m. A group of friends purchased 18 tickets for $82. How many adults tickets did they buy?
Answer:
1230
Step-by-step explanation:
i multipled to see what i was gone get
Can someone help me pls
Answer:
16.01
Step-by-step explanation:
sin 88° = 16/x
0.9994x = 16
x = 16.01
John is 70 years younger than Sharon. Sharon is 4 times as old as John.
If you let s = Sharon's age and j = John's age, then the problem can be represented by a system of equations. Which of the
following shows a graph of this system and the solution to this problem?
1
Answer:
j = 23 years-old s = 92 years old.
Step-by-step explanation:
j = s - 70
s = 4j
j = 4j - 70
-3j = -70
j = 70/3
j = 23
s = 92
The price of the sweater was reduced by 40%
An angle measures 78° less than the measure of its supplementary angle. What is the
measure of each angle?
Answer:
Step-by-step explanation:
Supplementary angles add up to 180°.
If the angle is x, its supplement is 180°-x.
x = (180°-x) - 78°
x = 51°
supplement = 180°-x = 129°
The angles are 51° and 129°
Pls help 10 ptsssssssssssss
NO LINKS
Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.
can you do this math test for me i need it done by 4:00
Answer:
14. x=1, x=−9
x^2 + 8x + 20 = 29
x^2 + 8x + 4^2 = 9 + 4^2
(x + 4)^2 = 25
x + 4 = ± 5
15. x = -1/2, x = -3/2
4x^2+8x+3=0
x = -8 ± √8^2-4x4x3/2x4
x = -8 ± √64-4x4x3/2x4
x = -8 ± √64-16x3/2x4
x = -8 ± √64-48/2x4
x = -8 ± √16/2x4
x = -8 ± √4/2x4
x = -8 ± √4/8
x = -4/8
x = -1/2
x = -12/8
x = -3/2
16. -36
Use the values of a, b, and c to find the discriminant.
17. x=2, x=−2
3x^2 + 5 = 17
3x^2 + 5 - 17 = 0
3x^2 - 12 = 0
x^2 - 4 = 0
(x−2)(x+2)=0
x=2 x=−2
18. x=12
, x=−12
x^2 = 144
x^2 - 144 = 0
(x−12)(x+12)=0
x=12,
x=−12
19. x=2√5+3, x=3−2√5
x−3=2√5
x−3=−2√5
x−3−(−3)=2√
5−(−3)
x−3−(−3)=−2√5−(−3)
x=2√
5−(−3)
x=−2√5−(−3)
x=2√5+3
x=3-2√5
20. t = -√24-h/4+1, t = √24-h/4+1, h≤24
Word bank:
A) zeroes
B) axis of symmetry
C) y-value of the vertex
Step-by-step explanation:
I hope this helps!
HELP PLSS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.
Step-by-step explanation:
I think A is the answer to your question
please help with this :D
Answer:
130°-85°=45°
x=45°
Hope it will help you
What are some random numbers that add up to 50?
Answer:
25+25, 40+10, 35+15 If that's your question, not sure. But if you mean what's divisible by 50, maybe 10, 5
Step-by-step explanation:
A rectangle is 13 feet long and 4 feet wide. Find its area.
Step-by-step explanation:
13 feet long
4 feet wide
13 + 4 = 17
feet long
feet wide
= feet wide
so 13 +14 = 17 feet wide
Calculate the circumference. show me process
Answer:
Radius is 13
13 x 3.14 x 2 = 81.64
Formula of circumference:
2 x pie(3.14 or 22/7) x r (radius
18 meters in 15 minutes
Formart:
18y=15mx/m
I rlly didn’t know what yhu needed
Brainliest for correct answer
Answer:
one third of the volume
Step-by-step explanation:
Find the 20th term in the following
arithmetic sequence :
12, 15, 18, 21, ..
keaton hasan aquarium 30 inches long, 24 inches wide and 15 inches high. if he fills the aquqrium with watef up to 4 inches from the top, what will be the volume of water in the aquarium?
Answer:
7920
Step-by-step explanation:
Calculator
need help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
1) 2/3
2) 5x/2
Step-by-step explanation:
The fraction simplification process involves finding the largest common factor in the numerator and denominator, then dividing that from both.
1)
[tex]\dfrac{8}{12}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{2}{3}\cdot\dfrac{4}{4}=\dfrac{2}{3}\cdot1 =\boxed{\dfrac{2}{3}}[/tex]
__
2)
[tex]\dfrac{15x^2}{6x}=\dfrac{5x\cdot3x}{2\cdot3x}=\dfrac{5x}{2}\cdot\dfrac{3x}{3x}=\dfrac{5x}{2}\cdot1=\boxed{\dfrac{5x}{2}}[/tex]
For which function and interval can the extreme value theorem be applied?
O f(x) =
Х
(x-6)
over the interval [3, 5)
-5
f(x) =
2(x-7)3
over the interval (6,8)
f(x) = 4 tan(Ttx) over the interval [0, 1]
f(x) = 3e' + 1 over the interval (1,3)
Answer:
A
Step-by-step explanation:
A function assigns the value. The function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
In a function for the extreme value theorem to be applicable, the function must be continue between the given interval.
The denominator of the first function will not continue when the value of x= 6, which is not in the interval [3,5). Therefore, the extreme value theorem is applicable.
To verify if the system will continue or not, you can plot the graph of the function, and look between the interval if the function continues or not. As shown below.
Hence, the function on which the extreme value theorem can be applied is f(x)=x/(x-6)².
Learn more about Function:
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i-Ready
Equivalent Linear Expressions - Instruction - Level G
3
-2 +1+
4
2
) Write an expression that is equivalent to
2
3
1
20.
2
2
1
3
-2 +1+ 2
4
4
1
2
2
2 +
?
3
Answer:
LEavel ^ 9-8=1
Step-by-step explanation:
Can someone give me the answer plz.
HELP ASAP NO LINKS PLEASE HELP
Ex: You invested $1000 in a savings account. The account pays 5% annual interest.
How much will be in the account after 6 years?||
1
Answer:
I KNOW THE ANSWER ITS 5000
Step-by-step explanation:
SUB to sir sir bmgo
A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?
Answer:
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Step-by-step explanation:
Let x represent the length of the first piece.
Since the second piece is 5 ft longer than the first, it can be represented by x + 5
Since the third piece is 1 ft longer than the second, it can be represented by x + 6
Create an equation that adds all of these terms up to 32, and solve for x
(x) + (x + 5) + (x + 6) = 32
3x + 11 = 32
3x = 21
x = 7
So, the first piece is 7 ft long.
Using the expressions we created, solve for the lengths of the second and third pieces.
x + 5
7 + 5 = 12
x + 6
7 + 6 = 13
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
for brainliest please help
The value of x in given figure is 100°
What do you mean by the term Angle ?
An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.
An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.
According to question
In ΔABC ,
∠ C is 100°
So,the value of x is also 100°( by vertically opposite angle)
Learn more about Right angle here
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Find the area of the composite figure
Answer:
161
(7*11)+(6*14)
answer 161
HELP PLZZZ HELP I’ll give u BRAINLY
Answer:
1 Factor out the common term 22.
2(x+3y)=6
2(x+3y)=6
2 Divide both sides by 22.
x+3y=\frac{6}{2}
x+3y=
2
6
3 Simplify \frac{6}{2}
2
6
to 33.
x+3y=3
x+3y=3
4 Subtract 3y3y from both sides.
x=3-3y
x=3−3y
Answer:
x=3 and y=2
Step-by-step explanation:
I hope I"m right and if I am can I be marked brainliest.
In the last 20 sets of volleyball, Hailey has scored over 8 points
sets of volleyball that Hailey plays?
3
of the time. What prediction can you make about the next 10
She will score over 8 points 3 times.
B)
She will score over 8 points 4 times.
She will score over 8 points 6 times.
D)
She will score over 8 points 8 times.
Answer:
B she will score over 8 points 4 times
Step-by-step explanation:
HELP PLS IT'S VERY IMPORTANT
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Answer:
area = 255 [tex]m^{2}[/tex]
perimeter = 20+6.7+8+8+15+26 = 83.7m
Step-by-step explanation:
top left triangle - base is 3 because (20-8-9). so 1/2 bh = 1/2 (3) (6) = 9
left rectangle = l x w = 20 x 6 = 120
middle square = l x w = 8 x 9 = 72
lower right triangle = height is 12 because (26-8-6), so 1/2 bh =1/2 (9)(12) = 54
9+120+72+54 = 255
please help asap!!!!!!!!!!!!!!!
Answer:
x=22
Step-by-step explanation:
two interior angles = exterior angle
2x+2x+8=3x+30
4x+8=3x+30
x=30-8
x=22