Using margin of error, it is found that increasing the sample size results in a smaller sampling error.
The equation for the margin of error is given by:
[tex]M = c\frac{s}{\sqrt{n}}[/tex]
In which:
c is the critical value according to the distribution used.s is the standard deviation, either of the sample or of the population.n is the sample size.From the equation, it can be noted that the margin of error is inversely proportional to the square root of the sample size, hence, increasing the sample size results in a smaller sampling error.
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he school that Tony goes to is selling tickets to a play. On the first day of ticket sales the school
sold 9 adult tickets and 8 student tickets for a total of $164. The school took in $73 on the second
day by selling 2 adult tickets and 7 student tickets.
What is the price each of one adult ticket?
What is the price each of one student ticket?
Plz explain how to do this
Answer:
The price of 1 adult ticket is 12 dollars, and the price of a ticket for one student is 7 dollars
Step-by-step explanation:
Make a system of equations for the two days that the play was shown.
Let x = the price of an adult ticket
Let y = the price of a student ticket
For the first day:
9x+8y=164For the second day:
2x+7y=73Now, we can solve using the elimination method. Multiply the first equation by 2 and the second equation by 9. Then swap the order of the equations.
18x+63y= 657-18x+16y= 3280x+ 47y= 329divide both sides by 47y = 7Plug in 7 for y for the 2nd equation2x+7(7)=732x+49=73subtract 49 from both sides2x= 24divide both sides by 2x = 12 Check:2(12)+7(7)=7324+49= 73!Answer: And I don’t know math
Step-by-step explanation:
One positive number is 7 more than twice another. If their product is 1425, find the numbers.
Answer:
25 and 57.
Step-by-step explanation:
Let the lowest number be x then the other is 2x + 7, So:
x(2x + 7) = 1425
2x^2 + 7x - 1425 = 0
2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19
We need 2 numbers whose product is -2850 and whose sum is + 7.
These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:
2x^2 - 50x + 57x - 1425 = 0 Now we factor by grouping:
2x(x - 25) + 57( x - 25) = 0)
(2x + 57) ( x - 25) = 0
x = -57, 25.
We ignore the negative as we are given that the number is positive,
x = 25 is one number and the other is 2(25) + 7 = 57.
Four times a number is equal to the number increased by 24 find the number
Answer:
8Step-by-step explanation:
Let the number is x.
Translate the given into equation and solve for x:
4x = x + 244x - x = 243x = 24x = 8A family buys a studio apartment for 240,000. They pay for a down payment of 72,000.
A: their down payment is what percent of the purchase price?
B.what percent of the purchase price would a 108,000 down payment be ?
Answer:
A. 30% B. 45%
Step-by-step explanation:
A. 72,000/240,000 = x/100
(72,000)(100) = (240,000)x
7,200,000 = 240,000x
30 = x
B. 108,000/240,000 = x/100
10,800,000 = 240,000x
45 = x
the distance between -2,4 and 2,6
Help help math I’ll give points thanks
Answer:
x=13
Step-by-step explanation:
8x-20=4x+32
start by moving the terms,
8x-4x=32+20
combine
4x=52
divide each side by 4
x=13
A scuba diver descends farther down into the ocean from an initial depth of 12.8 feet below sea level. The scuba diver descends at a constant rate for 312 minutes and reaches a depth no more than 49.2 feet below sea level.
What is the maximum rate, r, that the scuba diver may descend?
r≥10.4
r≤10.4
r≥13 7/9
r≤13 7/9
Answer:
[tex]r \geqslant 10.4[/tex]
The maximum rate at which the diver will descend will be 7 feet per hour.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
Initial depth of scuba diver = 12.8 feet
Let's say the rate of a scuba diver is "r".
Initial depth + depth cover with constant rate ≤ final depth
12.8 + (312/60)r ≤ 49.2
r ≤ 7
Thus, the maximum rate at which a diver can descend is 7 feet per hour.
Hence"The maximum rate at which the diver will descend will be 7 feet per hour".
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The constraints of a problem are listed below. What are the vertices of the feasible region?
x+3y<=6
4x+6y>=9
x>=0
y>=0
The vertices of the feasible region of the constraints is (0,2.5)
How to determine the vertices?The constraints are given as:
x + 3y ≤ 6
4x + 6y ≥ 9
x ≥ 0, y ≥ 0
Express the inequalities as equations
x + 3y = 6
4x + 6y = 9
Make x the subject in x + 3y = 6
x = 6 - 3y
Substitute x = 6 - 3y in 4x + 6y = 9
4(6 - 3y) + 6y = 9
Expand
24 - 12y + 6y = 9
Evaluate the like terms
-6y = -15
Divide by 6
y = 2.5
Substitute y = 2.5 in x = 6 - 3y
x = 6 - 3 * 2.5
Evaluate
x = -1.5
So, we have:
(x,y) = (-1.5, 2.5)
Recall that: x ≥ 0, y ≥ 0
This means that the feasible region must have positive coordinates or zero
So, we set x = 0
(x,y) = (0, 2.5)
Hence, the vertices of the feasible region of the constraints is (0,2.5)
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ITS DUE TODAY
GRADES ARE FINAL TODAY PLS HELP ILL GIVE BRAINLIEST
0.5a + 8.75 > 13.25
Answer:
The answer is 9
Explanation:
0.5a+8.75=13.25
We simplify the equation to the form, which is simple to understand
0.5a+8.75=13.25
We move all terms containing a to the left and all other terms to the right.
+ 0.5a=+13.25-8.75
We simplify left and right side of the equation.
+ 0.5a=+4.5
We divide both sides of the equation by 0.5 to get a.
a=9
Please help, I will give brainliest Health Insurance Expenses
Business
Type
Definition
Costs
Premium
The annual amount employee pays
the insurance company for the policy.
$6,237
Career
College Rea
Deductible
The amount employee pays for
medical expenses before the
insurance pays for anything.
$1,000
Extra Cred
Business
The percentage employee pays for
Co-Payment medical treatment after the
deductible is paid
30%
Kerr Heavyn_He
hbenefitsss
Use the information in the table. If the employer has agreed to pay 45% of the employees' health insurance premium, what is the total annual
premium?
X
Select one:
O A. The premium is $13,860.
OB. The premium is $11,340,
O C. The premium is $5,103.
Answer:
It is B
Step-by-step explanation:
A store pays $270 for a bike and there is a 45% markup. What is the selling price (total price) of the bike?
Work Shown:
1.45*270 = 391.50
The multiplier 1.45 represents a 45% increase
Think of it as 1.45 = 1+0.45 = 100% + 45%
Answer:
391.5
Step-by-step explanation:
the 45% of $270 is $121.5
I’m having trouble with this question I need some help please
Answer:
[tex] \frac{1}{2} \: \: \: \: \: \frac{1}{4 \: } \: \: \: \frac{1}{8} [/tex]
[tex] \frac{4}{8} \: \: \: \frac{2}{8} \: \: \: \frac{1}{8} [/tex]
She ate
[tex] \frac{7}{8} [/tex]
#8) Identify all pairs of congruent sides
PLEASE HELP WILL MARK BRAINLIEST
Answer:
[tex]f^{-1} (x) =x-11[/tex]
Step-by-step explanation:
[tex]f(x) = x+11\\\\\text{Write f(x) as y = x+11}\\\\\text{Replace x with y,}\\\\x = y+11\\\\\text{Solve for y}\\\\x=y+11\\\\\implies y= x-11\\\\\implies f^{-1} (x) = x-11[/tex]
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
See answer below.
Step-by-step explanation:
This is true for all right triangle a² + b² = c² were c = the largest number
9, 12, 15 A right triangle
21, 28, 35 A right triangle
9, 13, 16 Not a right triangle
10, 11, 15 Not a right triangle
The average of two numbers is 70. If one of the number is 32, what is the 2nd number?
Answer:
The second number would be 108.
Step-by-step explanation:
Multiply 70 by 2 and subtract 32 from the product.
what is an equation of the line that passes through points (-7,-5) and (-7,-2)?
Answer:
I think I've answered this question already.
Step-by-step explanation:
Listen
If you draw a triangle with these measurements, which kind of triangle would it be?
Angles Sides
400
4 cm
50
7 cm
90°
8 cm
O acute scalene triangle
O acute isosceles triangle
O right equilateral triangle
Oright scalene triangle
Step-by-step explanation:
An acute triangle is a triangle whose angles are all acute (i.e. less than 90°). In the acute triangle shown below, ∠a, ∠b and ∠c are all acute angles. Example 1: A triangle has angles 46°, 63° and 71°.
Help help help help math math
Step-by-step explanation:
Relation
Hope it correct!!!
tim borrowed $7,000 at 8% interest rate for 5 years what was the total interest
Help help help help math math
Answer:
umm i think its A/B
Step-by-step explanation:
Answer:
√49 < √56 < √64
Step-by-step explanation:
√56 = 7.4833....
7x7 = 49
8x8 = 64
√49 < √56 < √64
desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4
[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152[/tex]
??????help please thanks
Answer:
The choice 66
Step-by-step explanation:
[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]
An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the expected number of red balls in your sample. (Round your answer to four decimal places.)
Step-by-step explanation:
in total we have 3+4 = 7 balls.
when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.
when we draw the second ball, we have now only 6 balls in total.
the probabilty to draw a red back now depends also on the result of the first draw.
if the first ball was already red, then we have only a chance now of 2 out of 6.
if the first ball was blue, then we have now a chance of 3 out of 6.
so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :
1 - probability to see 2 blue balls
1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...
the expected number of red balls in 2 draws is
1 red in first red in first red in second
but not second and second but not first
1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571
Jen is on the platform of her boat. She sights the top of a lighthouse at an angle of 30º as shown below. She knows that the height of the lighthouse is 50 meters.
How far is Jen from the base of the lighthouse, in meters?
The distance Jen is from the base of the lighthouse is 86.6 meters.
Trigonometric ratio is used to show the relationship between the sides of a and angles of a right angled triangle.
Let d represent the distance Jen is from the base of the lighthouse.
Using trigonometric ratios:
[tex]tan(30)=\frac{50}{d} \\\\d=\frac{50}{tan(30)} \\\\d=86.6\ m[/tex]
The distance Jen is from the base of the lighthouse is 86.6 meters.
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Harry read 1/3 of a book on Saturday and three force of the remainder on Sunday. If he still had 75 pages left how many pages were in the book?
Samuel buys office supplies for his home buissness
Answer:
What supplies?
Step-by-step explanation:
Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.
Answer:
at least 8
Step-by-step explanation:
Answer:
At least 8
Step-by-step explanation:
I took the test
plz help me to answer
Answer:
for 3, 4 or both?
4. is probably zero
Step-by-step explanation:
Wait is 4 a question?
[tex]cos^2 x + \cos^2 y = \cos(2x + 2y)\\\\\implies \dfrac{d}{dx} (\cos^2 x + \cos^2 y) = \dfrac{d}{dx} \cos(2x+2y)\\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-\sin(2x+2y) \left(2+2\dfrac{dy}{dx} \right) \\\\\implies -2\cos x \sin x -2 \cos y \sin y \dfrac{dy}{dx}=-2\sin(2x+2y) -2\sin(2x+2y)\dfrac{dy}{dx} \right) \\\\\implies 2 \sin(2x+2y) \dfrac{dy}{dx} - 2 \cos y \sin y \dfrac{dy}{dx} = 2 \cos x \sin x-2\sin(2x+2y)[/tex]
[tex]\implies \sin(2x+2y) \dfrac{dy}{dx} - \cos y \sin y \dfrac{dy}{dx} = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} [\sin(2x+2y) - \cos y \sin y] = \cos x \sin x-\sin(2x+2y)\\\\\implies \dfrac{dy}{dx} = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}\\\\\implies y'(x) = \dfrac{\cos x \sin x-\sin(2x+2y)}{\sin(2x+2y) - \cos y \sin y}[/tex]
Nick wants to buy a pair of shoes. The original cost of the shoes is $56.75, and the markup is 12 percent. How much will he have to pay for the shoes?
Answer:
Nick will have to pay $63.56 for the shoes.
Step-by-step explanation:
f the original cost of the shoes is $56.75 and the markup is 12% greater than the original price, the final price would be $63.56.
$56.75 • 0.12 = $6.81
$56.75 + $6.81 = $63.56
$56.75 + 12% = $63.56
Answer:
Nick will have to pay $63.56 for the shoes.