Using a confidence level of 95%, the margin of error for the estimate of the mean number of television hours watched will be 1.129
The approximate margin of error can be calculated using the relation :
Margin of Error = [tex] Z_{\frac{α}{2}} \frac{σ}{\sqrt{n}} [/tex] Sample size, n = 25 Standard deviation, = 2.88Confidence level = 95% [tex] Z_{\frac{α}{2}} = 1.96 [/tex]Margin of Error = [tex] 1.96 \frac{2.88}{\sqrt{25}} [/tex]
Margin of Error = [tex] 1.96 \frac{2.88}{5} [/tex]
Margin of Error = [tex] 1.96 \times 0.576 [/tex]
Margin of Error = [tex] 1.129 [/tex]
Therefore, the margin of error for the estimate of the mean number of television hours watched is 1.129.
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Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
What expression is equivalent to 5(x+7)
Answer:
5x + 35
Step-by-step explanation:
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:y=2.5x+5 i thank
Step-by-step explanation:
Drag the tiles to the correct boxes. Not all tiles will be used. What are the domain and the range of function f? range arrowRight domain arrowRight
here are the correct answers :)
If the Owen family has a child in two years, how much can they expect to spend, per year, to raise the child from its birth to when it is five years old?
Answer: A. 65,250+139,560= 204,810. 204,810/18=11,378
I hope it is right
Answer:
The answer would be 13,050
Step-by-step explanation:
In order to get the answer, you have to do 65,250 divided by 5 years and you should get 13,050 on your calculator.
what is x over 5 = -3 find x value
5*-3=-15
x=-15
hope this helps
Answer:
x = -15
Step-by-step explanation:
[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]
will give 25 points if right
Answer:
1/6
Step-by-step explanation:
When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.
Janice bought 4 oranges for $3.40. what is the unit price.
Need some help with these 2 math questions, They are related so best to finish one then work on the bisect. Thank you.
Answer:
∠RQT = 23.5
∠PQR = 133°
Step-by-step explanation:
Question 1Step 1 - Add angles together:
As all angles on a straight line must add up to 180°:
3x - 5 + x + 1 = 180
Add like terms together
3x + x - 5 + 1
4x - 4 = 180
Step 2 - Add 4 to both sides of the equation:
4x - 4 + 4 = 180 + 4
4x = 184
Step 3 - Divide both sides by 4:
[tex]\frac{4x}{4} = \frac{184}{4}[/tex]
x = 46
∠RQS = x + 1
∠RQS = 46 + 1
∠RQS = 47
Given the ray QT bisects ∠RQS, the angles must be the same on either side so:
47 ÷ 2 = ∠RQT
∠RQT = 23.5
Question 2As we know the value of x:
∠PQR = 3x - 5
Plug known values in:
3x - 5
3(46) - 5
138 - 5
∠PQR = 133°
This can also be calculated by subtracting known angle ∠RQS from 180:
180 - 47 = 133.
Hope this helps!
Consider the expression 8ab + 3b + 16 - 4a. (a) How many terms are there? (b) How many factors are in the first term? Identify them. (c) Which term is a constant? pls do this fast
a. There are 4 terms in the expression
b. There are 3 factors in the first term.
c. The constant is 16.
8ab + 3b + 16 - 4a
A term is any signed number, a variable, or a constant multiplied by a
variable or variables.
Therefore, the terms are 8ab, 3b, 16, and -4a. The terms are 4 in numbers.
The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.
The term that is a constant is 16
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Solve. 3(x-6) - 8x = -2 + 5(2x+1)
Answer: x = -1.4
Step-by-step explanation:
Answer: x = -7/5
Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1) 3x+−8x+−18 = 10x+−2+5 −5x+−18 = 10x+3 −5x−18-10x = 10x+3-10x −15x−18+18 = 3+18 −15x/-15=21/-15 x = -7/5
please view the img above for the question ^^
Answer:
2
Step-by-step explanation:
because resetting the graph means it has to be a reflection
geomtry plzz help 15 points
Answer:
False.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.
42 out of 56 students have cell phone. What percent of students said they owned a cell phone
Answer:
75%
Step-by-step explanation:
now we can see that our fraction is 75/100 which means that 42/56 as a percentage is 75%
Which associations best describe the scatter plot?
Select each correct answer.
Linear association
Negative association
Positive association
Nonlinear association
What is 1/3÷1/2 math answers?
Answer:
= [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Result in decimals: 0.66666666666667
x = mutiply
[tex]=\frac{1}{3} x\frac{2}{1}[/tex]
[tex]\frac{1 x 2}{3 x 1 }[/tex]
= [tex]\frac{2}{3}[/tex]
(Hope this helps can I pls have brainlist (crown)☺️)
I have 4 groups . After I dived Ed them into groups there were 6 groups 0f 4 and 1 group of 3. How many students were in the class ? Show all your work.
Answer: 27 students
Step-by-step explanation: 6 x 4 = 24
24 + 3 = 27
Answer:
27 Students in the class
Step-by-step explanation:
First we have to find out how many people are in the 6 groups of 4. 6x4=24
And of course 1 group of 3 people. Add them together to get 27 people.
24+3=27
On average, Laylah drinks 1/2 of a 6-ounce glass of water in 2/3 hour. What is 1/2 of 6?
Answer:3
Step-by-step explanation:
1/2 of 6 is 3 because (6x1)/2=6/2 which equals 3
13. Tell whether the sequence is arithmetic. If it is, what is the common difference? (1 point)
-5.-2,2,7..
A. yes: 3
B. yes: 4
C. yes: 3
D. no
Answer:
I think the answer is c
Ophira’s insurance company has notified her that her premiums will increase due to a poor insurance score and a recent claim she filed. The recent claim has increased her premiums by 41%, and her poor insurance score will cost her an additional $25 per month. Ophira currently pays $815 per year for insurance. How much will she pay next year?
$1149.15
$1672.15
$1449.00
$1449.15
Answer:
$1449.15
Step-by-step explanation:
currently paying 815
to pay next year: 41% increase + 25 extra per month
⇒ 141%·815 + 12·25
= 1149.15 + 300
= 1449.15
Complete the equation of the line whose y-intercept is (0,-1) and slope of 4
y=(answer)
25Y^2/5y-4 + 16/4-5y
Answer:
5Y2y-5y
Step-by-step explanation:
5
Y
2
y
−
5
y
y>-1/3x+2 x<4 how to solve the system of inequalities by graphing.
Answer:
See belowStep-by-step explanation:
1. Graph each inequality2. Take the intersection of shaded regions as solutionAttached each inequality separately and the solution showing the intersection below.
y > -1/3x + 2
Find the x - and y - intercepts, connect them with dotted line, shade the area above the linex < 4
Draw a dotted line x = 4, shade the area to the left of the lineUse the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
I dont but want to.
Hope this helps! :) ;-;
Step-by-step explanation:
Sabrina has eight boxes of crayons, with ten crayons in each box. She uses twelve crayons. How many crayons does she
have left?
Answer:
68
Step-by-step explanation:
8 boxes. 10 per one box. 8×10=80
80-12= 68
The perimeter of the smallest square is 48 feet. What is the perimeter of the largest square?
Answer:
x > 48
Step-by-step explanation:
There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((
sorry if this didn’t help but once again… not enough information :(
Pre college need help
Answer:
sorry I can't answer that because I need points very3× sorry
If an item that originally cost $12 is increased to $16, what is the percentage of increase in the item?
[tex] \rightarrow [/tex] 12.5%
=================================================
Explanation/Solution:To solve, use the formula:
[tex] \rightarrow \: \rm Percent \: of \: Increase = \frac{Amount \: of \: Increase}{Original \: Amount} \\ [/tex]
Solve.
[tex] \rightarrow \: \rm = \frac{16 - 12}{12} [/tex] Amount of increase: 16 - 12 = 2
[tex] \rightarrow \: \rm = \frac{2}{16} [/tex] Simplify.
[tex] \rightarrow \: \rm = \frac{x}{100} = \frac{1}{8}[/tex] Write the fraction as a percent.
[tex] \rightarrow [/tex]8x = 100 Find the product of the extreme and the means.
[tex] \rightarrow \: \rm = \frac{8x}{8} = \frac{100}{8}[/tex] Divide both sides by 8.
[tex] \rightarrow [/tex]x = 12.5
Therefore, the percentage of increase in the item is 12.5%.
Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500
The gross income or profit of the company is the difference between the
total revenue and the cost of items produced.
The values for the gross profits are;
(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000Reasons:
The gross profit is given by the equation;
Gross profit = Net revenue - Cost of items sold
The net revenue for 75,000 units = $57.50 × Sales price per unit
∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500
Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead
Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500
The cost of producing 75,00 units per year = $3,562,500
Gross profit = $4,312,500 - $3,562,500 = $750,000
(b) When the number of units produced = 110,000, we have;
Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500
Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)
2. By producing 35,000 units more than it sells, we have;
Cost > Revenue, therefore, the gross profit decreases
Let, X, represent the number of units sold, we have;
The number of units produced = X + 35,000
Which gives;
Cost of production = (X + 35,000) × (10.50 + 8.00 + 12.50) + 1,237,500 =
31·X + 2,322,500
Net revenue = X × 57.50 = 57.50·X
The profit = 57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500
When X = 75,000, we have;
Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000
Therefore;
The gross profit will decrease by 750,000 - (-335,000) = 1,085,000
The gross profit of the company will would decrease by $1,085,000, if it
sells 75,000 units and produces 110,000, which is 35,000 more units than
is sells.
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Write the equation of a parabola that has a vertex of (-2,5.5) and passes through the point (-2.5,2.5).
The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is [tex]y=-12(x+2)^2+5.5[/tex]
The vertex form of the equation of a parabola is:
[tex]y=a(x-h)^2+k[/tex]
where (h, k) is the vertex of the parabola
(x, y) is the point that the parabola passes through
The vertex, (h, k) = (-2, 5.5)
The point, (x, y) = (-2.5, 2.5)
Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.
[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]
Therefore, the equation of the parabola is:
[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]
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