Using the Central Limit Theorem, it is found that the sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex]It also states that when two variables are subtracted, the mean is the subtraction of the means, and the standard deviation is the square root of the sum of the variances.In this problem, for each sample, the mean and the standard error are given by:
[tex]p_C = 0.08, s_C = \sqrt{\frac{0.08(0.92)}{100}} = 0.0271[/tex]
[tex]p_A = 0.12, s_A = \sqrt{\frac{0.12(0.88)}{100}} = 0.0325[/tex]
Then, for the distribution of differences, we have that:
[tex]p = p_C - p_A = 0.08 - 0.12 = -0.04[/tex]
[tex]s = \sqrt{s_C^2 + s_A^2} = \sqrt{0.0271^2 + 0.0325^2} = 0.0423[/tex]
The sampling distribution will be approximately normal, with mean of -0.04 and standard error of 0.0423.
To learn more about the Central Limit Theorem, you can check https://brainly.com/question/24663213
A store pays $3 for a magazine. The markup is 5%.
Answer/Step-by-step explanation:
Given;
A store pays $3 for a magazine.
The markup is 5%.
Solve:
$3 × 5% = 0.15 [Markup Price]
$3 + 0.15 = $3.15 [Final Price]
Hence, the total is $3.15.
~Learn with Lenvy~
what the answer and show step by step how you got the answer
2(6x+1)=14x-6
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]2(6x+1)=14x-6[/tex]
→ Expand brackets on left side
[tex]12x+2=14x-6[/tex]
→ Minus 14x from both sides to collect the x terms
[tex]-2x+2=-6[/tex]
→ Minus 2 from both sides to isolate 2x
[tex]-2x=-8[/tex]
→ Divide both sides by -2 to isolate x
[tex]x=4[/tex]
Answer:
4=x
Step-by-step explanation:
2(6x+1)=14x-6
12x+2=14x-6
+6+2=14x-12x
8=2x
4=x
PLEASE HELP ASAP!!!
1) what is the measure of <4? Explain
2) what is the sum of the measures of angles in a triangle?
3) <1 is in a triangle <4 and 53 angle. What is the sum of those two angles?
4) what is the measure of <1 explain
5) find the measure of <2 explain how you found it
6) what is the measure of <3 explaining
I will give Brainlist!!!
Answer:
1. 90 degrees because of supplementary angles
2. 180 degrees
3. 90 degrees
4. 37 degrees, since the sum of the interior angles add to 180, 180-90-53 = 37.
5. 127 degrees, supplementary angles 180-53
6 . 23 degrees, use the triangle sum theorem 180-30-127
Emil is inviting 7 friends to a party. Each friend wants 5 cookies and each box has 12 cookies. How many boxes should Emil get?
Answer:
3 boxes.
Step-by-step explanation:
Solution,
Given,
The number of cookies : 7 × 5 = 35
Now,
The total number of cookies to cookies per box 35 ÷ 12 = 2.9 box
= 3 boxes.
The half-life of a radioactive kind of antimony is 4 days. How much will be left after 12 days,
if you start with 7,600 grams of it?
22
grams
Time
elapsed
Submit
01
16
The mass of the substance left after 12 days is 501.51g.
Data;
Half life = 4 daystime = 12 daysNo = 7600Half - LifeThis is defined as the time taken for the radioactive sample to decay to half it's initial size.
This is given as
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda}[/tex]
where
λ = disintegration constantLet's substitute the values and find the disintegration constant
[tex]T_\frac{1}{2} = \frac{\ln 2}{\lambda} \\4 = \frac{0.693}{\lambda} \\\\\lambda = \frac{0.693}{4}\\ \lambda = 0.17325[/tex]
But the value of a radioactive substance present at a given time is
[tex]N_t = N_o e^-^\lambda ^t[/tex]
Let's substitute the values and solve.
[tex]N_t = 7600 e^-^0^.^1^7^3^2^*^1^2\\N_t = 7600 * 0.065988\\N_t = 501.509g[/tex]
The mass of the substance left after 12 days is 501.51g.
Learn more on radioactivity here;
https://brainly.com/question/2320811
What is the smaller angle of (x+20) (5x+10)
Answer:
Step-by-step explanation:
Please help me with this question on my homework (graded)
Answer:
could be plus ten and that gives u 49
Step-by-step explanation:
what up................................................
Answer:
nothing wbuuuu
Step-by-step explanation:
Answer:
Hey
Step-by-step explanation:
How are you doing???
A graph that represents 2x-3y=9
I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!
the slope is 2/3x and it translate down 3 units on the y-axis!!Toby has $65 to buy t-shirt for his bowling team each t-shirt costs $7
Answer:
$9.28 per t-shirt
Step-by-step explanation:
plz mark brainlest
Answer:
He has enough money to buy 9 t-shirts and he would have 2 dollars left over
Step-by-step explanation:
Divide 65 by 7. You would get 9 with a remainder of 2. So you have enough to buy 9 t-shirts.
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Answer:
25
Step-by-step explanation:
40/8 = 5
3:5 so u do 5x5 which is 25
brief explanation and hoped it helped xoxo
Answer:
25 girls
Step-by-step explanation:
boys: girls: total
3 5 8
Take the total number of students and divide by 8
40/8 = 5
Multiply each term by 5
boys: girls: total
3*5 5*5 8*5
15 25 40
There are 25 girls
12a+3b
would it be 15ab?
I'm not understanding how to solve it
I'll give 20 points just please help me lol
Francisca and Elizabeth are participating in a walk-a-thon fundraiser.
For every hour Francisca walks she raises $25.50. For every hour
Elizabeth walks she raises $14.50. Each girl walks for 3 hours. How
much will they raise together?
Subtract.
4/5 - 1/4 =
plz hellllllllllp
Answer:
Hello
=4/5-1/4
Taking LCM,
LCM=20
=4*4/5*4 - 1*5/4*5
=16/20-5/20
=11/20
Answer:
11/20
Step-by-step explanation:
Which of the following is the solution to |x|+5<1
Answer: No solutions
Step-by-step explanation:
|x|+5<1
Subtract 5 from both sides.
|x| < -4
No solutions is possible
What is the volume of the rectangular prism?
3 inches
11 inches
6 inches
Answer:
198
Step-by-step explanation:
3x11x6=
What is the geometric mean of 9 and 18
[tex]\cfrac{9}{x}~~ = ~~\cfrac{x}{18}\implies 162=x^2\implies \sqrt{162}=x\implies \sqrt{9^2\cdot 2}=x\implies 9\sqrt{2}=x[/tex]
Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2
Answer:
20
Step-by-step explanation:
heart and brainliest pls
Answer:
18
Step-by-step explanation:
you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18
Each of the equal sides of an Isosceles Triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the Triangle.
Answer:
16 + 64 + 64 are the 3 sides.
Step-by-step explanation:
There are two sides that are 4 times the third side.
Let the 3rd side = x
4x + 4x + x = 144 inchines
9x = 144 inches
x = 144/9
x = 16 inches.
So the base (which is the smallest side) = 16 inches.
One of the two sides remaining is 4x = 4*16 = 64
The other side = 64
Check
64 + 64 + 16 = 144 as it should.
Answer:
Step-by-step explanation:e
Write the ratio as a fraction in simplest form.
10 feet to 5 yards
Answer:
1:0.33
Step-by-step explanation:
This is because one foot= .333 yards
I hope this is what you were asking! :)
Myesha finds some nickels and quarters under the couch cushions. How many coins does she have if she has 6 nickels and 12 quarters? How many coins does she have if she has x nickels and y quarters?
If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:
If she has 6 nickels and 12 quarters:
Number of coins = 12 + 6 = 18
If she has x nickels and y quarters:
Number of coins = x + y
If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.
Find out more on equation at: https://brainly.com/question/2972832
1 2 3 4 5 6 7 8 9 10 TIME REMAINING 52:29 There are two routes Lucas can take to walk to school. Route A is 2 and StartFraction 1 over 8 EndFraction miles and is StartFraction 3 over 8 EndFraction mile longer than route B. The equation b + StartFraction 3 over 8 EndFraction = 2 and StartFraction 1 over 8 EndFraction can be used to represent this situation, where b is the length of route B. How many miles will Lucas walk if he takes route B?
Answer:
Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Step-by-step explanation:
Length of route A = [tex]2 \frac{1}{8} miles[/tex]
Length of route A [tex]=\frac{17}{8} miles[/tex]
We are given that route A is 3/8 mile longer than route B
Let b be the length of route B
So, [tex]b+\frac{3}{8} =2 \frac{1}{8} \\b+\frac{3}{8} =\frac{17}{8}\\b=\frac{17}{8}-\frac{3}{8}\\b=\frac{14}{8}\\b=\frac{7}{4}\\b=1\frac{3}{4}[/tex]
Hence Lucas will walk [tex]1\frac{3}{4}[/tex] miles if he takes route B
Choose the inequality that represents the following graph.
Answer:
option a is correct thanx
WILL MARK BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Square GHIJ circumscribes circle K. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.
Answer:
13.7
Step-by-step explanation:
I just did the problem
can someone tell me the area and explain
Answer:
120ft^2
Step-by-step explanation:
because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.
The mean mass of a dairy cow is 634.5 kg with a standard deviation of 64.2 kg. A sample of 50 cows is obtained. Find the probability that the mean mass of the sample is at least 640 kg
Answer:
oh hun is 640kg stupid cow
Step-by-step explanation:
What is the volume of this right cone?
40π cm^3
300π cm^3
400π cm^3
480π cm^3
I Hope this Helps You?
What is the volume of this right cone? 40π cm³ 300π cm³ 400π cm³ 480π cm³
✓ The answer is 400pi because the area of a cone is A=1/3*pi*r^2*h1/3*pi*100*12 = 400pi
True or false: Outliers can cause data sets to be skewed.
Answer:
True
Step-by-step explanation:
Firstly, the definition of an outlier is a number farther away from the general populous of digits. For example, a number line can have a lot of numbers clustered at 2, 3, and 4 but might have one way over on 10. This would mean 10 is an outlier.Secondly, a skew is when a dot plot or a box and whisker plot is shaped a certain way. A negative skew would be a graph sloping to the right, and a positive skew is a graph sloping to the left. It looks a bit like a hill.Knowing that the shape is made up of the different numbers and their amount, we can conclude that an outlier, or a number that is stretched far from the others, would affect the data set.This means that the skew might change if there is a variable that is out of place.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
Why are first time home buyers, on average, only able to pay around 5% for a down payment on a house?
Answer:
They don't have enough money to pay the full price so they have no option but to pay what they have in their saving account. Also as a first down payment its allowed to start from 3% and up. The much down payment the lower they will pay every month.
Step-by-step explanation:
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. each cracker measures 2 inches in length by one and one-half inches in width. the volume of the column is 15 inches cubed. if there are 40 crackers in the column, what is the height of each individual cracker? startfraction 3 over 40 endfraction inch one-eighth inch one-fifth inch three-eighths inch
The height of each individual cracker is one-eighth inch. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other.
Each cracker measures 2 inches in length by one and one-half inches in width.
The volume of the column is 15 inches cubed.
If there are 40 crackers in the column
The height of the cracker will be
[tex]\rm h = \dfrac{15}{1.5*2}\\\\h = 5[/tex]
The height of each individual cracker will be
[tex]\rm h_c = \dfrac{5}{40}\\\\\\h_c = \dfrac{1}{8}[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
BStep-by-step explanation:
is the answer