Answer:
C. 19,306 and 21,694
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, for samples of 30:
Mean: 20,500
Standard deviation: [tex]s = \frac{2180}{\sqrt{30}} = 398[/tex]
99.7% of the sample means fall within 3 standard deviations of the mean, by the Empircal Rule with the Central Limit Theorem:
Lower bound: 20500 - 3*398 = 19,306
Upper bound: 20500 + 3*398 = 21,694
So the correct answer is option C.
Secured debt usually has _____.
longer loan terms
collateral
lower interest rates
all of the above
Answer:
all of the above
Step-by-step explanation:
A restaurant orders corn tortillas and flour tortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2:3. What is the ratio of the number of flour tortillas to the number of tortillas
Answer: 3:5
Explanation: The ratio of Corn tortillas to flour tortillas is 2:3, so you look at the total number of tortillas (5) and put the number of flour tortillas in front of it (3). Leaving you with 3:5
Answer:
3:5
Step-by-step explanation:
Awnser pls.........................................
NEED HELP ASAP Select the correct answer.
Which Inequality is graphed on the coordinate plane?
Oy? -4r + 2
O y > -x + 2
y = -x + 2
o y <-4+ + 2
d
Answer:
D: y < -1/4x + 2
Step-by-step explanation:
I just did it on Edmentum
The inequality which is graphed on the coordinate plane is y > -x + 2, the correct option is B.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
An inequality is a mathematical statement that compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to describe relationships between quantities or to express constraints or conditions.
We are given that;
The graph of inequality
Now,
the graph shows a dashed line with a slope of -1 and a y-intercept of 2, which is the equation y = -x + 2. The dashed line means that the points on the line are not included in the solution set of the inequality. The shaded region above the line means that the points in that region satisfy the inequality.
Therefore, by the inequality the answer will be y > -x + 2.
Learn more about inequality ;
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Please HELP (due after 20 mins)
Order from least to greatest:
-2, 3.5, 2.25, -3.5, 1
Rainer bought 1.5 pounds of lunch meat at the store for $10.98. What was the unit rate (price) of the lunch meat?
Answer:
7.32
Step-by-step explanation:
Answer:
7.32
Step-by-step explanation:
To find the unit rate, divide 10.98 by 1.5 to get 7.32
Dave typed the first 8 pages of his report in 24 minutes. At this rate, how long should it take Dave to finish typing the rest of his 60 pages report ?
Answer
180
Step By Step Explanation
24/8 = 3, 3x60=180
Which set of angles can form a triangle?
A. 1 acute, 1 right, and 1 obtuse
B. 1 acute and 2 right
C. 1 acute and 2 obtuse
D. 2 acute and 1 right
I need helppp
Answer:
D can form a right angle triangle.
Step-by-step explanation:
Answer:
I don't know
Step-by-step explanation:
but thanks for the points
Sum of the radius of the base and height of a cylinder is 21 cm and the curved surface area of the cylinder is 616 sq.cm,find the total surface area of the cylinder.
PLEASE HELP ME AS FAST AS POSSIBLE
Step-by-step explanation:
lets radius be r and height be h,
r+h=21 -----(1)
curved surface area
2×pi×r×h=616 -----(2)
use simultaneous eqn to solve for r and h.
total surface area of cylinder= 2×pi×r×h + 2×pi×r²
= ans if im not wrong
A bag of popcorn contains 945 calories and serves 7.5 people. How many calories are in each serving?
Please help
Answer:
126
Step-by-step explanation:
945÷7.5=126
I HOPE IT HELPS!
amy ate 27.5 cookies in 5.5 minutes. How many cookies did she eat per minute?
Answer:
5 cookies per minute.
Step-by-step explanation:
To do this, we divide 27.5 by 5.5 to get the unit rate, in other words, the amount of cookies eaten per minute. This gets us 5. That means Amy ate 5 cookies per minute.
Answer:
Amy ate 5 cookies per minute
Step-by-step explanation:
Do get the unit rate - the number of cookies per minute - you can divide 27.5/5.5. You then get 5. This means that Amy ate 5 cookies per minute.
Tell Amy to watch her diet...
here is 93 points but answer this please If x = 4, what is the value of x3 + x - 5?
Answer:
11
Step-by-step explanation:
x3+x-5
3*4=12
12+4-5
16-5=11
pls i REALLY need brainliest
Becca made 960 cookies to sell. She wants to package the cookies in the the boxes of 16 . Her goal is to make $630 from selling her cookies . If each box of cookies is priced the same , how much should Becca charge for each box ?
Step-by-step explanation:
Total cookies = 960
Each box has 16 cookies
Her goal is $630
First, you want to find out how many boxes she made
960÷ 16 = 60
She made 60 boxes
Now you want to find the price for each box
630 ÷ 60 = 10.5
She should charge $10.50 for each box
I hope this helps!!!
Sam knows that he can read 17 pages of his book in 30 minutes he needs to finish his book in 1 1/2 hours will he be able to finish his book in time if he still needs to read 50 more pages
Answer:
Yes
Step-by-step explanation:
17 pages in 30 minutes is 51 pages in 90 minutes. He needs 50 more pages in 90 minutes so he will be able to finish his book.
I hope this answer helped, and if it was correct, please mark this as brainliest! Thank you!
A superintendent of a school district wants to understand the link between attendance and grade point average, or GPA. The GPA is out of 4.0 points, with 4.0 being the highest possible. The percent attendance and GPA of 10randomly sampled students from the superintendent's district were collected. This sample data is reproduced in the table below. Calculate the correlation coefficient r using a TI-83, TI-83 plus, or TI-84 graphing calculator (round your answer to two decimal places).
"GPA" 3.5 2.38 1.16 3.83 3.28 3.69 3.46 3.87 3.69 3.75
Attendance 91% 74% 80% 97% 59% 78% 90% 98% 94% 87%
r=_______.
Answer:
0.4136
Step-by-step explanation:
Given the data:
"GPA":
3.5
2.38
1.16
3.83
3.28
3.69
3.46
3.87
3.69
3.75
Attendance
0.91
0.74
0.80
0.97
0.59
0.78
0.90
0.98
0.94
0.87
The value of R (correlation Coefficient) obtained for the two variables GPA and ATTENDANCE is 0.4136. This shows that a fairly weak relationship between the GPA obtained and the attendance of students. Hence, even though a positive relationship exist between the two variables, that is, an increase in one variable yields a corresponding increase in the other and vice versa. The correlation Coefficient value for both values is just fairly strong.
M<5 = 98 degrees , find m< 4
Answer:
Step-by-step explanation:
if M<5=98, angle M<4=180-98=82
angles 5 and 1 are equal
angles 8 and 4 are equal
A.150 feet
B.200 feet
C.250 feet
D.100 feet
order dessert
no dessert
split the check
one person pays
I don't understand, what's the question?
What is the y-intercept of a line that has a slope of —3 and passes through point (0, -7)?
_7
-3
0
4
Answer:
-7
Step-by-step explanation:
well, y-intercept is value of y when x = 0.
from the problem, we already have the answer, it is -7
but more detailed way is
m = -3
[tex] \frac{y - ( - 7)}{x - 0} = - 3 \\ y - ( - 7) = - 3x \\ y = - 3x - 7 \\ [/tex]
y-intercept is value of y when x = 0
[tex]y = - 3(0) - 7 \\ y = - 7[/tex]
1/2(x+2)+7 = 3x + (-32)
PLEASE HELP AND EXPLAIN
Answer:
X=16
Step-by-step explanation:
pls help me due today
Answer:
a - 8/2
Step-by-step explanation:
i hope this help;-)
Answer:
[tex]\frac{1}{2} (a - 8)[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} (a - 8)[/tex] = [tex]\frac{1}{2}a - 4[/tex]
they are equal because 8 divided by 2 is 4 so you still get [tex]\frac{1}{2}a - 4[/tex]
2. PLZZZ help math (O_O)
U don’t have to answer them all but at least answer one question if u answer make sure to member them so I know which one is which.
Answer:
1) 3
2) 26
3) 50
4) 20
5)20
Step-by-step explanation:
The cost of a ticket to a Circus & Fan Fair show is $69 for adults and $26 for children. On a
certain day, 5 times as many children attend the show than adults, and the total revenue is
$94,908. About how many adults bought tickets?
Let the number of adults equal x, and the number of children equal 5x.
26(5x) + 69x = 94908
194x = 94908
x = approx. 489
About 489 adults bought tickets.
A total of 489 adults take tickets to the circus & Fan Fair show.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
Let's say the number of tickets that adults bought is a and the number of tickets that children bought is c.
Then,
26(5a) + 69c = 94908
194a = 94908
a = 489.21 but we need to take the whole number and practical number so it will be 489.
Hence "A total of 489 adults take tickets to the circus & Fan Fair show".
For more about the equation,
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Darron is taking college classes while in high school. The classes cost $200 plus $35 for every credit hour. y = total cost of classes x = credit hours taken Which equation matches this linear function?
Answer:
y = 35x+200
Step-by-step explanation:
The $200 is a constant, and the $35 PER credit hour makes it dependent on x.
-8x-6 pls holpp :((((
Answer:
The answer is 48.
Step-by-step explanation:
None.
please help me will give brilliant
Given,
Inequality : y-5>2x-10
To find,
Draw the graph.
Solution,
We have,
y-5>2x-10
First we simplify the above inequality.
Taking variables to LHS and constant to RHS.
y-2x>5-10
y-2x>-5
The points are (0,-5) and (3,1).
The attached figure shows the graph for the above equation. So, the correct graph is in option (2).
Solve this equation for x.
5(1+3x)−9=4(3x−3)
x=−83
x=−19
x=23
x=89
Help I need help I have 20 missing assignments
Bo Karah can run a race in 4 hours 33 minutes if he runs at 7 m/s. How long will it take in hours and minutes if
he runs at 11 m/s? Give your answer to the nearest minute.
Answer:
7 hours and 9 minutes
Step-by-step explanation:
4 hours and 33 minutes is 273 minutes
7 m/s —> 273 minutes
11 m/s —> M
Criss cross to get M
11x273= 7M
3003=7M
M=429 minutes
==> 429 minutes is 7 hours and 9 minutes
A model maker wants to make a model of a ship. He will use a scale of 1:50. The ship was 100ft long. 1 foot=0.3m
you are a girl or boy. #/