Reducing the sample size to one-third, increases the error by √3.
Margin of ErrorThe margin of error is given by:
[tex]E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\where\ z_\frac{\alpha}{2} \ is \ the \ confidence\ level\ z\ score, \sigma\ is \ mean\ and\ n\ is\ sample\ size.\\\\n=360, hence:\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{360} } \\\\E=0.0527(z_\frac{\alpha}{2} *\sigma)\\\\For\ n = 1/3 * 360=120:\\\\\\E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{120} } \\\\E=0.09122(z_\frac{\alpha}{2} *\sigma)[/tex]
Reducing the sample size to one-third, increases the error by √3.
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I NEED HELP ON NUMBER 11 ASAP!!
Answer:
4x+2
and 22
Step-by-step explanation:
2x-5+6+2x-5+6=4x+2
if x=5, so perimeter 4(5)+2=20+2=22
ms.lopez can do 25 push ups. ms. red can do twice as many push ups as ms.lopez. how many more push ups can ms.red do than ms.lopez
Answer:
Ms. Red can do 25 more push ups than Ms. Lopez.
Step-by-step explanation:
25 x 2 = 50.
50 is how many Ms. Red can do.
50-25= 25.
Convert mixed numbers:
1. 2 1/3 x 9 2/3
2. 5 3/7 x 2 2/5
3. 2 6/13 x 2 1/4
4. 2 11/12 x 3 7/9
5. 5 3/5 x 5 1/7
6. 2 2/3 x 2 11/14
7. 7 1/4 x 2 1/2
8. 1 12/13 x 2 2/3
9. 2 3/4 x 1 1/6
10. 10 1/3 x 2 1/5
Answer:
Step-by-step explanation:
To convert this mixed numbers; mixed numbers are converted by multiplying the denominator with the whole number and add answer gotten to the numerator. you then place final answer over the denominator.
1. 21 /3 x 9 2/3 = 21/3 x 29/ 3
7 x 9.67 = 67.66
2. 5 3/7 x 2 2/5 = 38 / 3 x 12 /5 =
12.67 x 2.4 = 30.43
3. 2 6/13 x 2 1/4 = 32 / 14 x 9 /4
2.28 x 2.25 = 9.13
4. 2 11/12 x 3 7/9 = 35 / 12 x 34 /9
2.916 x 3.77 = 11.016
5. 5 3/5 x 5 1/7 = 28/5 x 31 / 7
5.6 x 4.428 = 24.8
6. 2 2/3 x 2 11/14 = 8/3 x 39/14
2.66 x 2.78 = 7.413
7. 7 1/4 x 2 1/2 = 29/4 x 5 /2
7.25 x 2.5 = 18.125
8. 1 12/3 x 2 2/3 = 15 /3 x 8/3
5 x 2.66 = 13.33
9. 2 3/4 x 1 1/6 = 11/4 x 7/6
2.75 x 1.166 = 3.20
10. 10 1/3 x 2 1/5 = 31/3 x 11/5
10.33 x 2.2 = 22.726
Directions: Simplify each term by factoring.
1. 3rs
2. 12xy
3. 5x2
4. 36x2
5. 25x2
6. 30x2
7. 5x3
8. 24y3
9. 9xy
10. 12x4
Answer/Step-by-step explanation:
[1] [tex]3rs = 3 * r *s[/tex]
[2] [tex]12xy = 2*2*3*x*y[/tex]
[3] [tex]5x^2=5*x*x[/tex]
[4] [tex]36x^2=2*2*3*3*x*x[/tex]
[5] [tex]25^2=5*5*x*x[/tex]
[6] [tex]30x^2=2*3*5*x*x[/tex]
[7] [tex]5x^3=5*x*x*x[/tex]
[8] [tex]24y^3=2*2*2*3*y*y*y[/tex]
[9] [tex]9xy=3*3*x*y[/tex]
[10] [tex]12x^4=2*2*3*x*x*x*x[/tex]
Factoring means to factor a number means to break it up into numbers that can be multiplied together to get the original number.
[tex][RevyBreeze][/tex]
Answer:
[1] 3*r*s
[2] 12ry=2*2*x*y
[3] 5x2=5*x*x
[4] 36x2=2*2*3*3*x*x
(5] 252=5*5*x*x
[6] 30x2=2*3*5*x*x
[7] 5x3=5*x*x*x
[8] 24y3=2*2*2*3*y*y*y
[9]9xy=3*3*x*y
[10] 12x4= 2*2*3*x*x*x*x
Step-by-step explanation:
Help meeeee
The price of a new car is $30,000. If the sales tax is 6.5%, what is the total cost for the car, including tax?
Answer:
$31950
Step-by-step explanation:
We multiply 30,000 by .065 to get 1950. We ad them together to get $31,950. :)
Answer:
$31,950 dollars
Step-by-step explanation:
Given the following question:
Initial price of the car is $30,000...
The car has an increase tax of 6.5% (which means 6.5% of the initial price of the car is the sales tax.)
In order to find the total cost of the car, we need to find 6.5% of $30,000 and then add that number to the initial price to have the answer.
[tex]\frac{6.5\times30000}{100} =6.5\times30000=19500\div100=1950[/tex]
[tex]30000+1950=31950[/tex]
[tex]t=31950[/tex]
Therefore, the car has the total cost (including tax) of "$31,950 dollars."
Hope this helps.
What 8 letter word can have taken away and it still make a word .Take another letter away and it still make a word .Keep on doing that until you have one letter Left What is the word?
Solve for x
1,000 = 58.3x+227.9
Answer:
x=13.243568
Step-by-step explanation:
1000=58.3x+227.9
Step 1: Flip the equation.
58.3x+227.9=1000
Step 2: Subtract 227.9 from both sides.
58.3x+227.9=1000
−227.9 −227.9
58.3x=772.1
Step 3: Divide both sides by 58.3
58.3x/58.3 = 772.1/58.3
x=13.243568
Figure PQRS is a rectangle. Which statement in not necessarily true:
A: PQ is parallel to RS
B: PQ is congruent to RS
C: M
D: PQ is congruent to QR
Answer:
D: PQ is congruent to QR
Step-by-step explanation:
In a rectangle, there are a few statements that are always true. Opposite sides are congruent and parallel and all angles meet at 90 degrees. However, adjacent sides (sides that are touching/share a vertex) are not necessarily congruent. They can be; if they are then that rectangle is a square. Nevertheless, if adjacent sides are not congruent, then it is still a rectangle, so long as they meet at a right angle.
Answer: D
Step-by-step explanation:
“The points given in each table lie on a line. Find the slope of the line. Then graph the line”
which of the following is a rational number but not an integer
-9
0
-4.3
3
Grace biked for 8 miles in 1 hour on Monday. She covered 18 miles in 2 hours the next day. On which day did Grace bike at a faster pace?
Solution:
Note that:
[tex]Speed = \frac{Distance}{Time}[/tex]Find the speed of her bike of both the days and compare.
Speed on Monday = 8 miles/1 hour = 8 m/hSpeed on the next day = 18 miles/2 hours = 9 m/hThis means that:
=> 9 m/h > 8 m/hHence, the day after Monday is the day, she rode her bike faster than on Monday.
Answer:
The next day
Step-by-step explanation:
she covered 8 miles in 1 hour on Monday but on tuesday she covered 9 miles in 1 hour so she biked faster the next day.
Order the steps to solve the equation log(x2 − 15) = log(2x) form 1 to 5.
The order of the steps to solve the provided logarithmic equation is arranged as,
[tex](x^2 - 15) =(2x)[/tex]
[tex]x^2 +2x-15=0[/tex]
[tex](x-5)(x+3)=0[/tex]
[tex]x-5=0,x+3=0[/tex]
Potential solution are -3 and 5.
What is exponent of log rule?The exponent of the log rule says that the raising a logarithm with a number to its base is equal to the number.
When the base is common ion equality equation, then the two log values can be compares using exponent rule of logarithm.
The given logarithmic equation in the problem is,
[tex]\log(x^2 - 15) = \log(2x)[/tex]
The order of solution of the above expression,
Step 1,As the base is common, then the two log values can be compares using exponent rule of logarithm.
[tex](x^2 - 15) =(2x)[/tex]
Step 2,Bring all the terms, one side of the expression as,
[tex]x^2 +2x-15=0[/tex]
Step 3,Find the factors of the above quadratic equation using the split the middle term method as,
[tex]x^2 -5x+3x-15=0\\x(x-5)+3(x-5)=0\\(x-5)(x+3)=0[/tex]
Step 4,Equate the factors to the zero to find out the values of x,
[tex]x-5=0,x+3=0[/tex]
Step 5,The potential solution are,
[tex]x=5,-3[/tex]
Thus, the order of the steps to solve the provided logarithmic equation is arranged as,
[tex](x^2 - 15) =(2x)[/tex]
[tex]x^2 +2x-15=0[/tex]
[tex](x-5)(x+3)=0[/tex]
[tex]x-5=0,x+3=0[/tex]
Potential solution are -3 and 5.
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Which of the following is the graph of y = X + 4
Answer:
x = – 4(i just use app sorry if I'm wrong)
Help plsss!?!?!??!?!??>...................................
Answer:
A,B,D
Step-by-step explanation:
case A) If the price is marked down by percent, the new price will be
we know that
If the price is marked down by 10 percent
then the new price will be
10%= 10/100=0.10
(1 - 0.10) *$28= 0.90 * $28
=$25.20
therefore The statement case A) is True
case B) If the price is marked down by 25 percent, the new price will be $21
we know that
If the price is marked down by 25 percent
then the new price will be
25%=25/100=0.25
(1-0.25)* $28=0.75*$28
=$21
therefore The statement case B) is True
case C) If the price is marked down by 50 percent, the new price will be $19 we know that
If the price is marked down by 50 percent
then the new price will be
50%=50/100=0.50
(1-0.50)*$28= 0.50*$28
=14
therefore The statement case C) is False
case D) If the price is marked down by 35 percent, the new price will be $18.20
we know that
If the price is marked down by 35 percent
then the new price will be
35%= 35/100=0.35
(1-0.35)* $28=0.65*$28
=18.20
therefore The statement case D) is True
case E) If the price is marked down by 40 percent, the new price will be $29.80 we know that
If the price is marked down by 40 percent
then the new price will be
40%=40/100=0.40
(1-0.40)*$28= 0.60*$28
=$16.80
therefore The statement case E) is False
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Step-by-step explanation:
5(y+52) = -13
5y + 260 = -13
5y = -13 -260
y = -273 ÷ 5
y = -54.6
The radio of boys to girls at mathematics high school is 4:3 if there are 1526 students at the school, how many are girls
Answer:
654 girls
Step-by-step explanation:
sum the parts of the ratio , 4 + 3 = 7 parts
divide total by 7 to find the value of one part of the ratio
1526 ÷ 7 = 218 ← value of 1 part of the ratio , then
number of girls = 3 × 218 = 654
I will give you 30points
y = x + 4
5x + 3y = -4
Help please system by substitution
And help with y = 2x and
-8x – 2y = 24
1)
y = x + 4
5x + 3y = -4
5x + 3(x + 4) = -4
5x + 3x + 12 = -4
8x + 12 = -4
8x = -4 -12
8x = -16
x = -2
substitute x into the equation
y = -2 + 4
y = 2
Answers : x = -2 , y = 2
Answer:
1) [tex]{y,x}={2,-2}[/tex]
2) [tex]{y,x} = {-4,-2}[/tex]
Step-by-step explanation:
1) [tex]y=x+4 \\ 5x+3y=-4[/tex] <---------- given linear equations
Equations Simplified or Rearranged :
[tex]y - x = 4 \\3y + 5x = -4[/tex]
Graphic Representation of the Equations : PICTURE #1
[tex]x + y = 4 \\5x + 3y = -4[/tex]
Solve by Substitution :
// Solve equation [1] for the variable y
[tex][1] y = x + 4[/tex]
// Plug this in for variable y in equation [2]
[tex]3*(x +4) + 5x = -4 \\ [2] 8x = -16[/tex]
// Solve equation [2] for the variable x
[tex]8x = - 16 x = - 2[/tex]
// By now we know this much :
[tex]y = x+4\\ x = -2[/tex]
// Use the x value to solve for y
[tex]y = (-2)+4 = 2[/tex]
Solution :
[tex]{y,x} = {2,-2}[/tex]
---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
2) [tex]y=2x \\-8x-2y=24[/tex] <----- linear equations given
Equations Simplified or Rearranged :
[tex]y - 2x = 0 \\ -2y - 8x = 24[/tex]
Graphic Representation of the Equations : PICTURE #2
[tex]-2x + y = 0 \\\\-8x - 2y = 24[/tex]
Solve by Substitution :
// Solve equation [1] for the variable y
[tex][1] y = 2x[/tex]
// Plug this in for variable y in equation [2]
[tex][2] -2*(2x) - 8x = 24\\ [2] - 12x = 24[/tex]
// Solve equation [2] for the variable x
[tex][2] 12x = - 24 [2] x = - 2[/tex]
// By now we know this much :
[tex]y = 2x \\ x = -2[/tex]
// Use the x value to solve for y
[tex]y = 2(-2) = -4[/tex]
Solution :
[tex]{y,x} = {-4,-2}[/tex]
Use the bar graph. Astronauts installed 15 new tiles on the outside of the space station they spent 390 minutes on the task. each tile took the same amount of time to install. draw a bar in the graph to show the time needed to install a tile. Explain
Answer:
11. It will take about 26 minutes to install a singular tile.
12. It will take about 10 more minutes to install a light than it does to install a cable.
Step-by-step explanation:
11. Since installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time, you can divide the total amount of time by the number of tiles.
390/15= 26 minutes
It will take about 26 minutes to install a single tile.
12. By looking at the chart it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.
22-12= 10 minutes
It takes about 10 minutes longer to install a light than it does a cable.
It took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Given,
Installing 15 new tiles took a total of 390 minutes and each tile took the same amount of time,
We have to divide the total amount of time by the number of tiles.
390/15= 26 minutes
It will take about 26 minutes to install a single tile.
By observing the chart, it can be assumed that installing a light takes about 22 minutes since it is in the middle of 20 and 24 minutes. Installing a cable only takes 12 minutes.
22-12= 10 minutes
It takes about 10 minutes longer to install a light than it does a cable.
Hence, it took about 26 minutes to install a single tile and 10 minutes longer to install a light than it does a cable.
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#SPJ2
What is the expected number of female children in a family with three children? 1 1. 5 2 2002. 5.
The expected number of female children in a family with three children is 1.5.
The correct option is B.
We have to determine
What is the expected number of female children in a family with three children?
Probability;Probability is defined as the sum of all observations and the number of observations.
The expected value of female children= Probability of female children x Total number of children.
A child can be male or female, so there are 2 combinations, the favorable outcome is female.
The probability of female children = 1/2.
Therefore,
The expected number of female children in a family with three children is;
[tex]= \dfrac{1}{2}\times 3\\\\=1.5[/tex]
Hence, The expected number of female children in a family with three children is 1.5.
To know more about probability click the link given below.
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Lily eats half a pound of cherries in 3/4 of a minute how many minutes will it take her to eat a full pound of cherries
Answer: a minute and a half
Step-by-step explanation:
3/4 +3/4 is 6/4 which is 1 1/2 or 1 2/4
Total pounds=1lbs
Total mins:-
2×3/43/2min1.5minplease help mee out hereeee
Answer:x=125
Step-by-step explanation:
180-55=125
Answer:
Step-by-step explanation:
x+55=180[Sum of linear pair]
x=180-55
x=125
the total weight of 3 puppies is 2 pounds 4 ounces. how much does puppy weight in ounces. convert to ounces
Answer:
60 ounces
Step-by-step explanation:
there are 16 ounces in a pound plus the extra 4 ounces times 3 is 60 ounces in total
Help!!! ASAP!!!!
Please help me!!!
No wrong answers!!!
Answer:
*
Step-by-step explanation:
Pattern A: is adding 2 dots each time
Pattern B: is going up 1,2,3,4 (adding that amount each time)
Pattern C: Times by 3 each time
A cannonball is released at an angle of 20˚ at a velocity of 12m/s. Calculate the horizontal velocity of the object. What kinematic formula must be used to solve this problem?.
The horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.
What is Velocity?Velocity is the rate of change of position with respect to time. It is a scalar quantity.
We know that the velocity is a scalar quantity therefore, it can be divided into two components such that the first component is the vertical component which is equal to the (V sinθ), while the other component is the horizontal component(V cosθ), where V is the velocity and θ is the angle of the velocity from the positive x-axis.
Now, in order to calculate the horizontal velocity of the cannonball we can write,
[tex]\rm V_x = V\ Cos\theta[/tex]
[tex]V_x = 12 (Cos\ 20^o)\\\\V_x = 11.276\rm\ m/s[/tex]
Hence, the horizontal velocity of the cannonball is released at an angle of 20˚ at a velocity of 12m/s is 11.276 m/s.
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20x + 6 What is the constant?
Answer:
Step-by-step explanation:
The constant is 6
Hope this helps!
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below. 6 x = negative 2 x minus 4. 5 What errors did Emma make? Select two options. She should have used division to represent the quotient of six and x. She should not have included an equal sign. She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). She should have subtracted the difference (x minus 4. 5) from Negative 2. She should have used parentheses to show that Negative 2 is multiplied by (4. 5 minus x).
This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5). Then the correct option is C.
What is a BODMAS rule?BODMAS rule means for the Bracket, Order, Division, Multiplication, Addition, and Subtraction.
Emma read the statement "the quotient of six and a number, x, is the same as negative two times the difference of x and 4. 5. " She translated it as shown below.
[tex]\rm 6 x = -2 x - 4. 5[/tex]
This is wrong because the difference of x and 4.5 that is (x- 4.5) is negative two times that is -2(x -4.5).
Thus, She should have used parentheses to show that Negative 2 is multiplied by (x minus 4. 5). Then the correct option is C.
More about the BODMAS rule link is given below.
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Which of the following polynomials is in standard form?
O A. F(X= -3x4 - 1+6x2 +7x
B. F(x) = -3x4 +6x2 +7x-1
C. F(x) = -3x4 +6x2 - 1+7 x
OD. F(x) = 7x+6x2 - 1-3x4
Answer:the answer is d
Step-by-step explanation:
d is correct
Answer: is b
Step-by-step explanation:
What is the simplified form of 4 X 62 = 3 + 7?
10.....
thats all you can simplify out of it
Answer: In terms, it would be false when solved it 248 = 10
Step-by-step explanation:
When you multiply 62 and 4 you will get 248
When you add 3 and 7 you will get 10
Obviously [tex]248\neq 10[/tex] so this equation can't be simplified and it's false
Write the expression below in its simplest form.
(3d+5)+(d-2)
Answer:
4d+3
Step-by-step explanation:
Combine the like terms 3d + d which is 4d and 5 - 2 is 3, keep the addition symbol, and you will get 4d+3
The answer is 4d+3
(3d+5)(d-2)
you add 3d+1d=4d
You now subtract 5-2=3 (since the higher absolute value is +5, your answer will be +3, not -3)
=4d+3 :)
In right triangle ABC, sin B = 2x+0.42 B=2x+0.42 and cos C = 9x+0.84 C=9x+0.84. Solve for xx.
Answer:
-0.06
Step-by-step explanation: