Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]
[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]
[tex] Percentage = \frac {23}{173} * 100 [/tex]
[tex] Percentage = 0.1330 * 100 [/tex]
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.
Select the correct answer.
The branch manager of a clothing store is analyzing the average total bill of sale for his location. The national manager has communicated that
the overall population mean is $45.90 with a standard deviation of $10.3.1. The branch manager has a sample of 400 total bills of sale for his
location. By the central limit theorem, which interval can the branch manager be 95% certain that the sample mean will fall within?
Answer:
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
Step-by-step explanation:
Empirical Rule:
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.
Population:
Mean $45.90, standard deviation $10.31.
Sample:
By the Central limit theorem, mean $45.90, standard deviation [tex]s = \frac{10.31}{\sqrt{400}} = \frac{10.31}{20} = 0.5155[/tex]
Which interval can the branch manager be 95% certain that the sample mean will fall within?
By the Empirical Rule, within 2 standard deviations of the mean. So
45.90 - 2*0.5155 = $44.87
45.90 + 2*0.5155 = $46.93
We can be 95% certain that the sample mean will fall within $44.87 and $46.93
Mark each statement True or False.
1. The equation Ax = b is referred to as a vector equation.
A. True
B. False
2. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.
A. True
B. False
3. The equation Ax = b is consistent if the augmented matrix [A b] has a pivot position in every row.
A. True
B. False
4. The first entry in the product Ax is a sum of products.
A. True
B. False
5. If the columns of an m x n matrix A span Rm, then the equation Ax = b is consistent for each b in Rm.
A. True
B. False
Answer:
True
Step-by-step explanation:
False
True
False
True
True
Brayden can type 270 words in 3
minutes. How many words per
minute can Brayden type?
Answer: 90 words per minute
====================================================
Work Shown:
270 words : 3 minutes
270/3 words : 3/3 minutes ..... divide both parts by 3
90 words : 1 minute
Brayden can type 90 words per minute (wpm).
divide the following
3554by10
4678 by 40
(GIVING BRAINLYIST) 3 pizzas are shared equally between 10 people. what fraction of a pizza does each person receive. show your work on a image or on paper with using fraction models! thank you for your help :D
Answer:
2 2/5
Step-by-step explanation:
3 pizzas are equal to 24 slices. if there 10 each person can get 2.4 or 2 2/5
Answer:
3/10 of the pizza is given to each person
Step-by-step explanation:
total number of people= 10
number of pizzas=3
as a fraction, this would be 3/10
you can also use this as 30 out of 100 if that's easier to understand.
Hope this helps ༼ つ ◕_◕ ༽つ
Solve 22x − 2 = 15. Round your answer to the nearest hundredth.
Answer:
0.77
Step-by-step explanation:
Original equation: 22x-2=15
Add 2 to both sides: 22x=17
Divide by 22 on both sides: x=17/22, or 0.77
Let me know if this helps!
What is the constant of proportionality of y=9x so what does k=
Why is 16 the answer to 10. x / 2 - 5 = 3? I need an answer today.
Hi there!
[tex]\large\boxed{x = 16}[/tex]
x / 2 - 5 = 3
Begin by adding 5 to both sides to isolate for x:
x / 2 - 5 + 5 = 3 + 5
x / 2 = 8
Multiply both sides by 2 to have "x" alone on the left-hand side:
(x / 2) × 2 = 8 × 2
x = 16
Answer:
because if x is 16
16/2 = 8 and so on 8 - 5= 3 so that is the answer
Step-by-step explanation:
Find the length of the line segment formed by the points (2, 3) and (2, 5)
Answer:
2 units
Step-by-step explanation:
Given data
The points are (2, 3) and (2, 5)
x1= 2
y1= 3
x2= 2
y2= 5
substitute into the distance between two points formula
d=√((x_2-x_1)²+(y_2-y_1)²)
d=√((2-2)²+(5-3)²)
d=√(2)²)
d=√4
d= 2 units
Hence the length is 2 units
The quotient obtained when (9 greater than x) is divided by (z plus 1)
A school event requires at least 3 parents for every 8 kids. How many parents for 40 kids
Answer:
15 parents
Step-by-step explanation:
The size of a jar of coffee is increased by one 1/5. The new size is later reduced by 1/5
Is the new jar smaller, the same size or larger than the original?
Answer:
Smaller
Step-by-step explanation:
Example: say the original size is 100
increasing 100 by 1/5 is the same as increasing 100 by 20, so the new size is 120
reducing 120 by 1/5 is the same as reducing 120 by 24, so now the new size is 96.
100>96
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
Which relationships describe angles 1 and 2 ?
select each correct answer
-complementary angles
-vertical angles
-supplementary angles
-adjacent angles
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
Combine like terms.
3(2-5) – (4w=11)
Answer:
-5 = w
Step-by-step explanation:
3(2-5) – (4w=11)
Distributive property
6 - 15 - 4w = 11
Combine like terms
-9 - 4w = 11
Add 9 on both sides
-9 + 9 - 4w = 11 + 9
-4w = 20
Divide by -4 on both sides to isolate the variable
-4w/-4 = 20/-4
w = -5
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
i can solve this put first why is there an equal sign in between the parantasis
if you want to keep the equal sign delet the ()
Step-by-step explanation:
3(2-5) – 4w=11
-9-4w=11
-4w=20
w=-5
you have to do parantasis first
p--parantasis
e--exponents
m--multiplication
d--division
a--adition
s--subtraction
HELP! Below is the graph of a polynomial. Which statement about this graph is true?
A. The point (-2,1) is a maximum
B. The point (5,0) is an extreme
C. The point (2,-1.12) is a minimum
D. The point (2,-1.12) is a maximum
Which property of multiplication is shown?
6 x 5 = 5 x 6
Answer:
Commutative Property of Multiplication
I hope this helps you :D
Commutative
The commutative property tells us that two addition and multiplication sentences are equal no matter the order.
For example:
3+4=4+3
6 x 5= 5 x 6
Hope this helps. Please give brainiest.
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
How many groups of 10 are in 60?
Answer:
6
Step-by-step explanation:
10, 10, 10, 10, 10, 10. Those are 6 tens
Kimani says that the slope of the line between points B and C is greater than the slope of the line between points A and B .
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B.
Answer:
Kiara is correct
.............
Kiara says that the slope of the line between points B and C is the same as the slope of the line between points A and B is Correct.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the
change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the figure
Slope between A and B = rise/ run 3/3 = 1
and, slope between B and C = 5/5 = 1
So, the slope between A and B is same as the slope between B and C.
Hence, Kiara has correct statement.
Learn more about slope here:
https://brainly.com/question/3605446
#SPJ5
1.488 divided by 2.1 rounded to nearest tenth
Find the vertex and focus of the parabola.
x^2 + 4x - 8y + 12 = 0
The Vertex is (-2,1)
And the focus is (-2,3)
As a salesperson for an electronic parts distributor, you are given two options for your salary structure. The first option has a base salary of $300 a week plus 4% of all sales made. The second option has a base salary of $100 plus 7.5% commission on all sales. Find the sales amount that will result in the two options having the same weekly salary.
Answer:
The amount of sale is approximately 5714.
Step-by-step explanation:
Let x be the sales made that will result to the same salary and let y be the same weekly salary.
We can represent both salaries as follows:
300 + 0.04x = y
100 + 0.075x = y
Subtracting the second equation from the first, we have:
200 – 0.035x = 0
0.035x= 200
x = 200/0.035
x ≈ 5714.
Therefore, the amount of sale is approximately 5714.
The price of an item has been reduced by 80%. The original price was $25. What is the price of the item now
Answer:
$5
Step-by-step explanation:
25-80%=5
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
I will give the BRAINIEST
Simplify. Write your answer in standard form.
(4x^3+6x-7)+(3x^3-5x^2-5x+9)
Answer:
Step-by-step explanation:
Combine like terms.Like terms have same variable with same exponent
4x³ + 6x - 7 + 3x³ - 5x² - 5x + 9 = 4x³ + 3x³ - 5x² + 6x - 5x - 7 + 9
= 7x³ -5x² + x + 2
A 16-oz bottle of parmesan cheese costs $5.78, while an 8-oz bottle costs $3.97. Which is the better buy? Round
your answer to the nearest cent if necessary.
Answer:
The 16-oz bottle is a better buy
Step-by-step explanation:
Find the better buy by finding which one has a lower price per ounce:
Calculate the price per ounce of both bottles by dividing the cost by the number of ounces
5.78/16
= 0.36
3.97/8
= 0.5
Since 0.36 is smaller than 0.5, the 16 ounce bottle is a better buy.
Answer:
The 16-oz bottle of parmesan cheese is the better buy.
Step-by-step explanation:
It is the better buy because, if you compare the prices and the ounces, I say that the 16-oz is the best buy.
In the triangle below, angle B measures 60° and BC is 18. What is the length of AC?
Right triangle A B C is shown. Side B C is the hypotenuse.
9 StartRoot 3 EndRoot
StartFraction 9 Over StartRoot 3 EndRoot EndFraction
9
StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Answer:
The Answer is D StartFraction StartRoot 3 EndRoot Over 9 EndFraction
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
Trust me edge 2022
