A study of a local high school tried to determine the mean amount of money that each
student had saved. The study surveyed a random sample of 69 students in the high
school and found a mean savings of 5000 dollars with a standard deviation of 1400
dollars. At the 95% confidence level, find the margin of error for the mean, rounding
to the nearest whole number. (Do not write ).
Answers
Using the t-distribution, it is found that the margin of error for the 95% confidence interval is of $336.
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The margin of error is given by:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 69 - 1 = 68 df, is t = 1.9955.
The standard deviation and sample size are given, respectively, by:
s = 1400, n = 69.
Hence, the margin of error in dollars is given by:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.9955\frac{1400}{\sqrt{69}}[/tex]
M = 336.
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Related Questions
( - 37 + 37 ) ÷ - 15 = What is the answerr
Answers
Answer:
0
Step-by-step explanation:
[tex]~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0[/tex]
Answer:
0
Step-by-step explanation:
Following PEMDAS -37+37 is 0 and 0/-15 is also 0
Pencils cost $0.05. Notebooks cost $0.30. Henry spent $1.40. How many of each did he buy if he bought the same number of pencils and notebooks? A. 3 B. 4 C. 6 D. 8
Answers
Answer:
b) 4
Step-by-step explanation:
4 times $0.05 = $0.20
4 times $0.30 = $1.20
then you add the both totals together
0.20 + 1.20= $1.40
(q-1)²
please help!! urgent!!
Answers
Answer:
[tex]q^2-2q+1[/tex]
Step-by-step explanation:
[tex](q-1)^2=(q-1)(q-1)[/tex]
Distribute: [tex]q^2-q-q+1[/tex]
Solve: [tex]q^2-2q+1[/tex]
Hope this helped! Have a great day/night! :)
A triangle has vertices at (2, 3), (-4, 5), and (-3, 4). What are the coordinates of the vertices
of the image after the translation (x, y) (x + 1, y - 3)?
Answers
[tex](2,3) \longrightarrow (2+1, 3-3)=\boxed{(3,0)}\\(-4,5) \longrightarrow (-4+1, 5-3)=\boxed{(-3, 2)}\\(-3,4) \longrightarrow (-3+1, 4-3)=\boxed{(-2, 1)}[/tex]
Marco's living room is 4 meters wide and 6 meters long. He wants to install white carpet that costs $8.91 per square meter. How much will it cost to buy enough carpet for the living room?
Answers
Answer:
$213.84
Step-by-step explanation:
Think of a rectangle. In the case the length is 6 meters and the width is for meters. To be able to find the area of this rectangle, you need to multiply the length by the width. 6 multiplied by 4 is 24. In the equation it tells you that 1 square meter is $8.91, so now you are trying to figure how much 24 square meters would cost. To figure this out, you will need to multiple 24 by $8.91 giving you $213.84.
Hope this helps.
he national government would like to start a program that would give states money for flood relief. Which of the following states could most likely benefit from a program like this? Idaho
Oklahoma
Wyoming
Mississippi
Answers
The state that would most likely benefit from this program is the Missippi state due to the incidence of floods.
What type of state would benefit the most?States constantly affected by floods would benefit the most.
What states are affected by floods?GeorgiaMissisippiIn the case of Mississippi state, the floods are caused by the Mississippi River.
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Of the following three statements, choose the best option and write a viable argument showing how it is reflected by the Cost Function for Wichita’s factory.
___ The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
___ The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
___ Overtime wages were required to produce at levels above 25,000 units.
Answers
The cost per unit actually comes down to 0.8$per unit.
We have given that,
The electricity contract with the utility company is structured so that higher daily energy usage is charged at a lower rate.
The plant’s production processes are performed primarily by robots that are able to work longer hours, when needed, at no additional cost.
Overtime wages were required to produce at levels above 25,000 units.
What is the cost?
A cost is an expenditure required to produce or sell a product or get an asset ready for normal use.
The cost of production per unit of the item produced is 1$ as long as the total units produced are less than 2500.
If more than 2500 units are produced then the cost per unit actually comes down to 0.8$per unit.
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I need help and pls help
Answers
Answer:
ok no problem
i am here to give knowledge
Find the x-intercepts of the parabola with
vertex (-3,405) and y-intercept (0,360).
Write your answer in this form: (X₁,Y₁), (X2,₂).
If necessary, round to the nearest hundredth.
Enter the correct answer.
Answers
Answer: (-12, 0) and (6, 0)
Step-by-step explanation:
The equation of the parabola is of the form
[tex]y=a(x+3)^2 + 405[/tex]. To find a, we can substitute in the coordinates (0,360).
[tex]360=a(0+3)^2 + 405\\\\360=9a+405\\\\-45=9a\\\\a=-5[/tex]
So, the equation is [tex]y=-5(x+3)^2 + 405[/tex]. Setting this equal to 0,
[tex]-5(x+3)^2 + 405=0\\\\5(x+3)^2 = 405\\\\(x+3)^2 = 81\\x+3=\pm 9\\\\x=-12, 6[/tex]
So, the x-intercepts are (-12, 0) and (6, 0).
The function f(x) is given by the set of ordered pairs.
{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}
Which equation is true?
f of negative 10 = 1
f of 2 = negative 10
f of 0 = 6
f of 1 = negative 10
Answers
The true equation will be f(6) = 0. Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function.
The function f(x) is given by the set of ordered pairs.
{(1,0), (–10,2), (0,6), (3,17), (–2,–1)}
Then the function can be written as
f(abscissa) = ordinate
Then the function will be
f(0) = 6
Then the correct option is C.
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Answer:
f of 0 = 6
Step-by-step explanation:
Edge
1.___________a representation to show the total outcomes.
Study the situation and make a listing to solve for the answer.
Brilliant Spa offers a variety of uniform styles from which they can choose. Polo shirts come with yellow, red, and green. The pants come with black, blue, and white. Using the listing methods, how many possible uniforms are there?
Make a diagram to find the total number of possible outcomes.
As an opening promo, a café offers snack combos for P250.00. The meal includes a sandwich, a pasta, and a drink. The choices are below.
Sandwiches: chicken, tuna, bacon
Pasta: carbonara, fettuccine, seafoods
Drinks: iced tea, pineapple, calamansi
Answers
By using the listing method, the number of possible uniforms that Brilliant Spa can choose from is equal to 9 uniforms.
What is a listing method?In Mathematics, a listing method can be defined as a technique which is used to list all the elements or members of a data set, while separating each of them with a comma and enclosing the data set within curly braces.
From the information provided above, we have the following points:
Polo shirts come with color yellow, red, and green. The pants come with color black, blue, and white.By using the listing method, a list of all the elements in this data set is given by:
List = {(yellow, black), (yellow, blue), (yellow, white), (red, black), (red, blue), (red, white), (green, black), (green, blue), (green, white)}
Number of possible uniforms = 9 uniforms.
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Select the correct answer. This table represents values of a cubic polynomial function. x-2,-1,0,1,2,3 y-12,0,6,7.5,6,3 Based on the information in the table, which sentence describes the interval [-2, 1]?
Answers
The sentence which best describes the interval [-2, 1] is; The function is decreasing on the interval [-2, 1].
How to find Coordinates from a Table?
From the given table, we see that from the interval of -2 to 1 we see that the value of y constantly decreased with each value.
This is because the differences where 12, 6 and 1.5. Thus, it is clear that the values of y constantly reduces with each corresponding values of x.
Thus, the function is decreasing on the interval [-2, 1].
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a body starts from rest and moves with uniform acceleration of 4m/s² until it travels a distance of 800m,find the velocity
Answers
Answer:
80 m/s
Explanation:
Given:
i) initial velocity (as starts from rest) = 0 m/s
ii) acceleration: 4 m/s²
iii) distance travelled: 800 m
Formula required:
(final velocity)² - (initial velocity)² = 2 × acceleration × distance
Now solve:
v² - 0² = 2 × 4 × 800
v² = 6400
v = √6400
v = 80 m/s
write the next whole number after 123four in the base four system
Answers
Answer:
130
Step-by-step explanation:
can't have a 4 in units so carry over
The next whole number after 123 in base four is 130.
What is the base of a number system?The entire amount of digits employed in a specific number system is referred to as the base of that system. The [0, b -1] range is occupied by the digits of the base "b" number system. The radix of a number system is another name for this base of the number system.
Given, A number in base four, 123.
Now, In base four there are 4 numbers they are 0, 1, 2, 3.
the next whole number in the number (123)₄ will be (130),
As after adding 1 to the unit digit it will become 'zero' and 1 will carry over.
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Type the correct answer in each box. Use numerals instead of words.
What is the solution to this matrix equation?
Answers
By using a system of equations, we will see that the solution is:
x = 25, y = -50, z = -15
How to solve the matrix equation?We can write this as a system of equations:
4x + 2y - z = 15
x + y - z = -10
-3x - y + z = 60
Notice that if we add the second and third equations, we get:
(x + y - z) + (-3x - y + z ) = -10 + 60
-2x = 50
x = 50/-2 = -25
So we already got the value of x. Replacing that in the second equation we et:
25 + y - z = -10
Isolating y we get:
y = -10 - 25 + z = z - 35
Now we can replace that in the first equation:
4x + 2y - z = 15
4*25 + 2*(z - 35) - z = 15
100 + z - 70 = 15
z = 15 - 100 + 70 = -15
And using:
y = z - 35 = -15 - 35 = -50
Then the soution to the matrix equation is:
x = 25, y = -50, z = -15
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Round your answer to the nearest tenth if necessary. Use 3.14 for.
A pan for baking bread is shaped like half a cylinder. It is 16 inches long and 4.5 inches in diameter.
What is the volume of uncooked dough that would fill this pan?
4.5 in.
16 in.
The volume is approximately
in³.
just a little help
Answers
Answer:
127.17 in³
Step-by-step explanation:
V = (1/2)πr²h
(1/2)(3.14)(2.25 in)²(16 in)
(1/2)(3.14)(5.0625 in²)(16 in) = 127.17 in³
Annie is birdwatching
during her hike.
She records the types of birds she sees in
the table. What is the experimental
probability for each type of bird she sees
during her hike?
Answers
1) 13/40
2) 22/40
3) 5/40
☆...hope this helps...☆
_♡_mashi_♡_
Giovanni was playing with blocks and started with one blue triangular block and kept adding more
blocks to create the following pattern sequence:
See picture
How many blocks would he need on the 12th step of the pattern?
O 34
O 36
O 33
O 37
Answers
Blocks would he need on the 12th step of the pattern is 34.
The correct option is A
What is series?A series is the cumulative sum of a given sequence of terms.
Given:
We can write the series as follows:
1,4,7,10,13,.......
First term =1
common difference= 4-1=3
Using Arithmetic series
[tex]a_{12}\\[/tex]= a+11d
= 1 +11*3
= 1+33
= 34.
Hence, 34 blocks need on 12th step.
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plssssssssssssssssss answer corectly
Answers
Answer:
1.equilateral
2.isosceles
3.isosceles
4.isosceles and right
5.scalene
6.scalene and right
7.isosceles and right
8.isosceles
9.equilateral
In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
x > 64 and x < 68
x > 64 or x < 68
x < 64 and x < 68
x < 64 or x < 68
Answers
Answer:
answer is b
Step-by-step explanation:
because all you need to do is flip the signs.
[tex]-2x + 14 + 10x = 34[/tex]
Answers
Answer:
x = 2.5
Step-by-step explanation:
- 2x + 14 + 10x = 34 , that is
8x + 14 = 34 ( subtract 14 from both sides )
8x = 20 ( divide both sides by 8 )
x = 2.5
The ratio of the one leg of
the right triangle to the other
leg of the right triangle must
be 8:7. Determine the
greatest length of one leg of
the right triangle given the
other leg of the right triangle
is 10.5 feet.
Answers
Answer:
12 ft
Step-by-step explanation:
We assume right triangle ABC with the right angle being at B. We are given that the ratio of AB/CB = 8/7, and one leg is 10.5. Let's call the other leg is X. We don't know which leg is which so assume both. Then
(a) assume the X leg is the longer
8 / 7 = X / 10.5
(8 * 10.5) / 7= X
X = 12
OR (b) assume the X leg is the shorter
8/7 = 10.5 / X
(8X / 7) = 10.5
8X = 10.5 * 7
8X = 73.5
X = 9.1875
(a) is the greater so (a) wins
A tree casts a shadow of 20 meters when the angle of elevation of the sun is 24°
Find the height of the tree to the nearest meter.
Answers
The height of the tree is 9 meters
What is angle of elevation?This is the angle the line of sight makes with the horizontal.
Analysis:
The line of sight , the shadow length and height of tree form right angled triangle.
Let the height of tree be h
so that, tan 24 = h/20
h = 20 tan 24
h = 20(0.445) = 8.9m = 9m
In conclusion, the height of the tree is 9m.
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Solve | 5+7= 17.
1
O A. x= 15 and x = -15
OB. x= -15 and x = -5
OC. x= -15 and x = 5
OD. x= 15 and x = -5
Answers
The solutions of the absolute value equation is determined as 15 and - 5.
Solution to the absolute equationThe solution to the absolute equation is determined as follows;
|x - 5| + 7 = 17
collect similar terms
|x - 5| = 17 - 7
|x - 5| = 10
to resolve the absolute values, form two equations as follows;
x - 5 = 10 and x - 5 = -10
x = 15 and x = -5
Thus, the solutions of the absolute value equation is determined as 15 and - 5.
The complete question is given as;
|x - 5| + 7 = 17
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A line intersects the points (-5,1) and (-2,7). m=2 Write an equation in point slope form using the point (-5,1) y-[?] = ___(x-___)
Answers
[tex](\stackrel{x_1}{-5}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{7}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{(-5)}}} \implies \cfrac{7 -1}{-2 +5}\implies \cfrac{6}{3}\implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{2}(x-\stackrel{x_1}{(-5)})\implies y-1=2(x+5)[/tex]
Solve the rational equation:
2x 2x-5 -3 x-1 x²-3x+2 X-2
A. x= -0.47, X = -3.27 O
B. There is no solution.
C. X = -2, x = -1
D. x = 1, x = 2
Answers
The solution to the equation [tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex] is (b) there is no solution.
How to solve the rational equation?The equation is given as:
[tex]\frac{2x}{x - 1} - \frac{2x -5}{x^2 - 3x + 2} = \frac{-3}{x -2}[/tex]
Factorize the quadratic numerator
[tex]\frac{2x}{x - 1} - \frac{2x -5}{(x - 1)(x - 2)} = \frac{-3}{x -2}[/tex]
Multiply through by (x - 1)(x - 2)
2x(x - 2) - (2x -5) = -3(x - 1)
Expand
2x² - 4x - 2x + 5 = -3x + 3
Collect like terms
2x² - 4x - 2x + 3x + 5 - 3 = 0
Evaluate the like terms
2x² - 3x + 2 = 0
Using a graphical tool, the above equation has no real solution
Hence, the solution is (b) there is no solution.
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what is the meaning of Interest rate
Answers
Answer:
Interest rate is a proportion of a loan rewarded as interest to the borrower, usually expressed as an annual percent of the current loan.
Answer:
See below
Step-by-step explanation:
An interest rate is basically a percentage of principal charged by the lender for the use of its money, and it is paid via simple interest (usually in an annual period). That principal is the amount of money loaned.
For example, you may have seen a 1.5% annual interest rate, or something like that. This means that if your principal was $5000, let's say, you would have to pay $5000 * 0.015 = $75 in interest per year.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Last option, - 1 / 20
Step-by-step explanation:
Two sides of an acute triangle measure 5 inches and 8 inches. The length of the longest side is unknown/ What is the greatest possible whole-number length of the unknown side?
8 inches
9 inches
12 inches
13 inches
Answers
The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct option is C.
What is the triangle inequality theorem?The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.
Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,
[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]
Given the length of the two sides of the triangle, therefore, we can write the inequalities,
8 + 5 > x ⇒ 13 > x
8 + x > 5 ⇒ x > - 3
5 + x > 8 ⇒ x > 3
Now, as per the inequality the value of x can lie between 3 to 13, but as the side needs to be greatest, therefore, the value of x will be 12.
Hence, the correct option is C.
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Answer:
12in
Step-by-step explanation:
Explain why In 4 is greater than 1 but is less than 2.
PLEASE HURRY
Answers
Answer:
whats the solution you looking at?
Step-by-step explanation:
4 can be greater than 1 by number wise but also 4 could be -4 or 4 could not add up to the full amount of w for like if you have 4 2 by 2s and 2 16 by 16s 4 would be smaller