Answer:
The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
What is the shape of the distribution of the sample mean for all possible random samples of size 5 from this population?
By the Central Limit Theorem, the shape is approximately normal.
Mean is [tex]\mu = 140[/tex]
Standard deviation is [tex]s = \frac{12}{\sqrt{5}} = 5.37[/tex]
The shape is approximately normal, with mean of 140 grams and standard deviation of 5.37 grams.
Which of the following is equivalent to the complex number i²22
Answer:
yes I am pretty sure that's correct
Which problem is even below
4,323
944
291
31
mike made 5 fewer than three times the number of bracelets that sheri made. Write an expression to represent the number of brackets mike made. then determine the number of bracelets that mike made if sheri made 12 bracelets
Answer:
the answers are in the pic
Step-by-step explanation:
Which equation has a greater rate of change than the rate shown in the
table below?
х
0
2
4
6
8
у
5
5.5
6
6.5
7
5,890,000=a×10b a==?
Answer:
=146628
Step-by-step explanation:
gracias por los puntos
Average movie prices in the United States are, in general, lower than in other countries. It would cost $81.23 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $77.17. How much does an average movie ticket cost in each of these countries?
Answer:
Let the cost in Japan be m and that of Switzerland be n
n=13.35
Step-by-step explanation:
Nayla delivers 63 magazines on Saturday and 72 magazines on Sunday. She makes bundles of 9 magazines for each of her delivery routes. How many delivery routes does Nayla have on Saturday and Sunday?
Answer:
14
Step-by-step explanation:
9*6=63
9*8=72
6+8=14
Please help test due in 1 hour and it’s a grade! Will give brainliest and good review!
Answer
The measurement of the missing sides are 4 cm on each side
Step-by-step explanation:
multiply 5 times 2 (5x2=10) take away the 10 and 18 and the answer for it is the answer for the whole thing.
What is the relative minimum of the function?
if anyone could help it would be appreciated!! :)
Answer:
-2
Step-by-step explanation:
since the parabola opens upwards, the minimum is at the vertex of the parabola and the maximum is infinity, because the lines of a parabola goes on forever
you look for the smallest x value for the parabola and since you can see that the vertex of the parabola lies on x=-2, the minimum value of the function is -2.
Hope that helps :)
Look at the picture.
Thank u!
Answer:
I'm pretty sure its 16/30 = 8/15
Step-by-step explanation:
I don't know what simplify expressions means, I do know how to convert decimals into fractions and multiply fractions so.
HELP ASAP!!!!!! PLEASE
Answer:
(x,y) --> (-y,-x) is the rule
Step-by-step explanation:
(-1,3) to (-3,1)
Hope I helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
An employee's salary,
S
(
n
)
, in dollars, at a company is a function of the number of years,
n
, that the employee has worked at the company.
The relationship between
n
and
S
(
n
)
is shown in the table below.
The question is incomplete. Here is the complete question.
An employee's salary, S(n), in dollars, at a company is a function of the number of years, n, that the employee has worked at the company.
The relationship between n and S(n) is shown in the table below.
Which of the following equations represents an explicit formula for S(n)?
A. S(n) = 40,000(1.05)ⁿ
B. S(n) = 40,000 + 1.05n
C. S(n) = 40,000(1.05)ⁿ⁻¹
D. S(n) = 40,000 + 1.05(n-1)
Answer: A. S(n) = 40,000(1.05)ⁿ
Step-by-step explanation: The table shows an exponential function, which is, in general, is of the form:
[tex]S(n)=S_{0}r^{n}[/tex]
where
S₀ is the initial value
r is the rate the salary grows
n is the years the employee worked
From the table, in the first year, an employee receives $40,000, so, that is the initial value.
The salary increases at a constant rate of 1.05 per year, as shown below:
[tex]r=\frac{42,000}{40,000}=\frac{44,100}{42,000}=\frac{46,305}{44,100}[/tex]
r = 1.05
So, the rate the salary grows is r = 1.05 or 5%.
Therefore, the equation that shows an explicit formula for S(n) is [tex]S(n)=40,000(1.05)^{n}[/tex].
Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?
(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)
Answer:
(6x2 - 5)(x2 + 2)
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Box A contains 3 red and 2 blue marbles while Box B contains 2 red and 8 blue marbles. A fair coin is tossed. If the coin turns up heads, a marble is chosen from Box A; if it turns up tails, a marble is chosen from Box B.
A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who tosses the coin does not reveal whether it has turned up heads or tails (so that the box from which a marble was chosen is not revealed) but does reveal that a red marble was chosen. What is the probability that Box A was chosen (i.e., the coin turned up heads)?
Answer:
A. [tex]\frac{4}{10}[/tex]
B. [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given - Box A contains 3 red and 2 blue marbles while Box B contains 2
red and 8 blue marbles. A fair coin is tossed. If the coin turns up
heads, a marble is chosen from Box A; if it turns up tails, a marble
is chosen from Box B.
To find - A. Find the probability that a red marble is chosen.
B. Referring to above information, suppose that the person who
tosses the coin does not reveal whether it has turned up
heads or tails (so that the box from which a marble was
chosen is not revealed) but does reveal that a red marble was
chosen. What is the probability that Box A was chosen (i.e.,
the coin turned up heads)?
Proof -
As given ,
Box A : 3 red marbles and 2 blue marbles.
Box B : 2 red marbles and 8 blue marbles.
a.)
As we have to find the probability that a red marble is chosen.
A red marble is chosen in two different ways - either it can be from Box A or Box be .
If Box A is chosen , then Probability of red ball is [tex]\frac{3}{5}[/tex]
If Box B is chosen , Then Probability of Red ball is [tex]\frac{2}{10} = \frac{1}{5}[/tex]
Now,
Probability of Box A is Chosen = [tex]\frac{1}{2}[/tex]
Probability of Box B is chosen = [tex]\frac{1}{2}[/tex]
∴ we get
Probability that a Red marble is chosen = [tex]\frac{1}{2}[/tex]×[tex]\frac{3}{5}[/tex] + [tex]\frac{1}{2}[/tex]×[tex]\frac{1}{5}[/tex] = [tex]\frac{3}{10} + \frac{1}{10} = \frac{4}{10}[/tex] = 0.4
b.)
Now,
Probability that Box A is chosen given that Red marble is chosen is
P(Box A | Red marble ) = [tex]\frac{(\frac{3}{5})(\frac{1}{2}) }{(\frac{3}{5})(\frac{1}{2}) + (\frac{1}{5})(\frac{1}{2})} = \frac{\frac{3}{10} }{\frac{3}{10} + \frac{1}{10} } = \frac{\frac{3}{10} }{\frac{4}{10}}[/tex] = [tex]\frac{3}{4}[/tex]
2p(7p+7) please answer
Answer:
14[tex]p^{2}[/tex] + 14p
Step-by-step explanation:
to expand, multiply 2p with 7p which gives you 14p^2
then,
multiply 2p by 7 = 14p
Determine the amount or number of something mathematically
HOW DO YOU DO THIS PLEASE EXPLAIN
Answer:
70 degrees
Step-by-step explanation:
it’s a bit hard to explain
I need help I can’t cuaet understand this
Answer:
B, 140
Step-by-step explanation:
Alright so if you know to do volume this should be a breeze!
First off what you want to do is find the volume of the outside prism.
V=whl=4·5·8=160
160
Then find the smaller prisms volume.
V=whl=1·5·4=20
20
Minus the smaller from the bigger
160-20=140
The answers B!
Geometry proof help please
Answer:
the picture is blurt can't see any thing sorry can't help
What is the volume of the pyramid in the diagram?
25 cm
h = 15 cm
15 cm
20 cm
OA 1,500 cm
OB. 2,500 cm
OC 4.500 cm
Answer:
Step-by-step explanation:
Wheres the diagram??
Incomplete q
What part of a hummingbird is adapted to help it obtain food from inside flowers?
1.Beak
2.Wings
3.Eyes
4.Head
What is the area of the triangle?
8
4
pls pls pls pls helpppp it's 12:10am
Answer:
I guess it will be (D) 4/3=$4.41/x
what is the slope of the line that passes through the points (2,-3) and (2,13)? write your answer in simplest form
Answer:
The slope is undefined because there is no change in x, making it a vertical line
Step-by-step explanation:
What is 5 3/4 - 6 1/2
Answer:
-1 1/4
Step-by-step explanation:
1/2 - 2/4
5 - 6 = -1
3/4 - 2/4 = 1/4
-1 1/4
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
The value of Adam's model railway is $550.
This value increases exponentially at a rate of r %
per year.
At the end of 5 years the value will be $736.
Calculate the value of r.
Answer:(c)
Step-by-step explanation:
Given
The initial value of Adam's model is [tex]A_o=\$550[/tex]
the value increases exponentially with the rate of [tex]r\%[/tex]
Time period [tex]t=5\ years[/tex]
Final amount [tex]A=\$736[/tex]
Exponential growth is given by
[tex]\Rightarrow A=A_o(1+r)^t[/tex]
Putting values
[tex]\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338[/tex]
[tex]\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%[/tex]
Option (c) is correct
i needa big mac frfr brrrrrrrr
Answer:
ok
Step-by-step explanation:
Answer:
suppersize my fries...
Find the values of X,Y and z
Answer:
x = 11.31
y = 13.86
z = 19.60
Step-by-step explanation:
8/x = x/16
x^2 = 128
x = 11.31
x^2 + 8^2 = y^2
128 + 64 = y^2 = 192
y = 13.86
x^2 + 16^2 = z^2
128 + 256 = z^2
z^2 = 384
z = 19.60
Can someone help with this asap ?
Answer:
y=-(x+11)(x-23)
Step-by-step explanation:
y=-(x+11)(x-23)
use the x intercepts they give you, and make it the opposite i.e. if it positive, then make it negative if it is negative make it positive
i.e. -11 equals 11
thus (x+11)
then, the graph is concave down, so it is negative at the front
On a scale drawing of a building, 1 inch represents 14 feet. If the height of the actual building is 49 feet, what is the height of the drawing?
enter the answer in the text box below
____ in.
The answer is 3.5 inches for K12 test
All i did was see what coud make 49 feet.
since 1 inch = 14 feet then i did 3 x 14 which got 42.
I then just shuffled around numbers and got 3.5.
THE ANSWER IS 3.5
Very sorry if its wrong