Answer:
Explained below.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
a
The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.
b
The standard deviation of the sampling distribution of the sample mean weight is:
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]
c.
The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:
[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]
d
Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:
[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]
What is the Magnitude of 6.8
Santiago Chile (AP)
♥plz give me brain list it would help a lot! ♥
♥ お力になれて、嬉しいです ！♥A cell phone tower and a fence are on the same property. the fence is 8 feet tall and has a shadow that measures 14.5 feet. the shadow of the cell phone tower measures 72.5 feet . how tall is the cell phone tower ?
Answer:
40 feets
Step-by-step explanation:
Given that:
Height of fence = 8 feets
Shadow of fence = 14.5 feets
Shadow of cell phone tower = 72.5 feets
Height of cell phone tower = x
Height of fence = shadow of fence
Height of tower = shadow of tower
8 feets= 14.5 feets
x feets = 72.5
Cross multiply :
(14.5 * x) = (72.5 * 8)
14.5x = 580 feets
x = 580/14.5
x = 40 feets
Hence, the height of the cell phone tower is 40 feets
How many ways can you arrange the word HOCKEY using only 5 letters
if each letter can only be used once?
Answer:
Total arrangement = 720
Step-by-step explanation:
Given:
Total letter n = 6
Using letter r = 5
Computation:
Total arrangement = nPr
Total arrangement = !n / !(n-r)
Total arrangement = !6 / !(6-5)
Total arrangement = 6 x 5 x 4 x 3 x 2
Total arrangement = 720
So far, a storm has traveled 35 miles in half an hour. If it is currently 5:00 pm and the storm is 105 miles away, what time will the storm reach you? Explain how you solved the problem.
Answer:
It will reach you at 6:30.
Step-by-step explanation:
THe storm traveled at 35 miles in half an hour. It is 105 miles away.
Divide 105 by 35 to get how many half hours it will take to rach you.
105 ÷ 35 = 3.
So, it will be 3 half hours or one hour and a half.
Add that time to the current time, which is 5:00.
It will be 6:30 when the storm reaches you.
hope this helped tell me if it is right.
What are the different ways to write multiplication?
Answer:
Distribution, equal groups, skip counting, repeated addition, and array.
Step-by-step explanation:
g The average work week in Los Angeles was 40.1 hours in the first quarter of 2019. It is believed that the pandemic has led to a reduction in the average work week. To test the validity of this belief, the hypotheses are
Answer:
b. Hо : μ ≥ 40.1; Ha : μ > 40.1
Step-by-step explanation:
Note: The complete options to the question is attached as picture below
The alternative hypothesis is focusing on "the recession has led to a reduction in the average work week".
So, it will be less than the past average. i.e, 40.1.. so, we will use a less than (<) sign to write the alternative hypothesis.
The hypotheses are as below:
Hо : μ ≥ 40.1 (Null hypothesis)
Ha : μ > 40.1 (Alternative hypothesis)
A carpenter needs to cut two pieces of trim around a window at 34 3/8 inches each. If the saw blade will remove 1/8 of an inch of wood, what is the smallest piece of wood that can be used to produce both pieces?
Answer:
It is so ez, it is of course 2
Step-by-step explanation:
How do you solve 5(N+4)/3 = N-8
Answer:
n=-22
Step-by-step explanation:
rewrite the equation as 5(n+4) = n-8
3
now distribute the 5 through the parentheses 5n+20 = n-8
3
multiply each side by 3 5n+20=3n - 24
subrtact 3n from both sides 5n+20=3n - 24
-3n -3n
2n+20=-24
then subtract 20 from each side 2n +20=-24
-20 -20
Giving you 2n=-44 then divide both sides by 2
2n=-44 Giving you n=-22
2 2
HELP PLEASE NO FOOLISH ANSWERS
QUESTION: When we apply a force to something, it moves! Mass is important for calculating how fast things accelerate (change speed) when we apply a force to them. What determines how fast a car can speed up? You probably know that your car accelerates slower if it has five adults in it than if it only has one. IDEK WHY THIS IS A MATH PROBLEM-
Answer:
Mass determines how fast a car can accelerate. Since a car accelerates slower with more adults, and faster with less adults, this means that the mass has a big impact on acceleration. Therefore, we can conclude that the mass determines how fast a car can accelerate.
Enter an Integer to represent the situation.
a $535 profit
Answer:
67
Step-by-step explanation:
Took a test
can u pls help me with this question
Answer:
A
Step-by-step explanation:
Options A, B and C are the same:
2/3 is two-thirds (that how we read the fraction in English) and is 0.66666... (a decimal is sometimes permissible)
But most common and most used is a fraction
So, the answer is A
A city holds an election for mayor every 2 years and an election for treasurer every 6 years. It held elections for both mayor and treasurer this year. How many years will
it be before the elections for mayor and treasurer both happen in the same year again?
Answer:
3years
Step-by-step explanation:
Answer:
It will take for about 6 six years for the election for both positions be taken
What is an equation of the line that passes through the points (6, 4) and (4,1)?
Answer:
3/2 x-5
Step-by-step explanation:
Answer:
y=3/2x-5
Step-by-step explanation:
m=y²-y¹/x²-x¹
m=1-4/4-6
m=-3/-2
m3/2
y-y=m(x-x1)
y-1=3/2(x-4)
y-1=3/2x-6
+1 +1
y=3/2x-5
how do you find inital value on a graph I forgot how???????????????????????
Answer:
I believe you would look for what x is when y is 0, but I may be wrong.
solve for the unknown.
4^2x+3=1
what does x equal?
Answer:
x = -1/8
Step-by-step explanation:
4^2x + 3 = 1 start by simplifying the equation
16x + 3 = 1 now subtract 3 on both sides
16x = -2 isolate the variable by dividing 16 on both sides
x = -1/8
Answer:
x = -1/8
Step-by-step explanation:
4^2x + 3 = 1
You want to try to get the x on one side by itself.
First step subtract 3 from both sides
4^2x + 3 -3 = 1 -3
so now it looks like 4^2x = -2
We know 4^2 is 4x4 which is 16.
16x= -2
Divide 16 by both sides.
x = -2 / 16
Reduce.
x = -1/8
8 coins are tossed simultaneously, find the chance of obtaining at least six heads
Answer:
37/256
Step-by-step explanation:
We need to use the Binomial distribution here, ask me why?
because there are only two outcomes of the experiment, heads or tails, which are complementary by nature, that is to say they are mutually exclusive and if one doesn't happen the other definitely does
p(head)+p(tail) = 1
also the trials are independent of one another, that is to say that the outcome of one toss doesn't affect the outcome of any of the other seven tosses out of 8.
and I am assuming here that the coins are all unbiased, i.e. p(head)=p(tail)=0.50
Considering all of these the possibility that we will get at least 6 heads out of 8 tosses is given by
p(head=6)+p(head=7)+p(head=8)= 8C6 (0.5)^6 (0.5)^2 + 8C7 (0.5)^7 (0.5)^1 + 8C8 (0.5) ^8
The plus sign indicates OR operator, i.e. we might get 6 heads or 7 heads or 8 heads.
where the probability mass function of the bin distn is given by
nCx p^x q^(n-x)
n= total number of trials
x= no. of success (in our case no of heads)
n-x = no of failures (no of tails in this example)
p= probability of success (p(heads)=0.5)
q= probability of failure (is equivalent of 1-p)
A pharmacologist measured the concentration of dopamine in the brains of several rats. The mean concentration was 1,269 ng/gm and the standard deviation was 145 ng/gm.4 What was the standard error of the mean if:_______.(a) 8 rats were measured?
(b) 30 rats were measured?
Answer:
51.265242 ng/gm ; 26.473257 ng/gm
Step-by-step explanation:
The standard error of the mean = standard deviation / √sample size
Given that:
mean concentration = 1,269 ng/gm
Standard deviation (s) = 145 ng/gm
Standard Error if 8 rats were measured :
Sample size (n) = 8
Standard Error = s / √n
Standard Error = 145 / √8
Standard Error = 145 / 2.8284271
Standard Error = 51.265242 ng/gm
If 30 rats were measured :
Standard Error = 145 / √30
Standard Error = 145 / 5.4772255
Standard Error = 26.473257 ng/gm
system of equations
3x+5y=-7
6x-4y=0
Step-by-step explanation:
18x+30y=-7
18x+12y=0
42y=-7
y=-0.17
3x+5(-0.17)=-7
3x-0.85=-7
3x=-6.15
x=-2.05
Identify the coefficient in 0.50(m)-0.20(g)+9.00
Answer:
-0.2 + 0.5m + 9
Step-by-step explanation: simplify
Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol
the last one seems to be the best
Answer:
D
Step-by-step explanation:
Let x represent the price of a movie ticket. A local movie theater decided to increase the price of a movie ticket by 30%. Which expression can be used to calculate the new, increased price of a movie ticket?
A. 30x
B. x over the number 30
C. 0.3x
D. 1.3x
Answer:
A
Step-by-step explanation:
30 times x all the others are incorrect so by process of elimination it is a
Please Note: IMAGE BELOW IS NOT DRAWN TO SCALE!
Given: Point E is the midpoint of AC and DF
Prove: ADEA AFEC
C
F
А
B
B
Answer:
more imformation?
Step-by-step explanation:
Lilly was shopping and saw the following prices on different packages of the same item
Answer:
What's the question?
Step-by-step explanation:
In City A, 4,099 of 5,289 residents, have reliable high-speed internet access. In City B, 15,798 of 20,868 residents have reliable high-speed internet access. In which town are residents more likely to have reliable high-speed internet access?
Answer:
4,099 and 5,011
Step-by-step explanation:
A star patterned quilt has a star with the angels shown. What is the value of x? Explain your answer.
Answer:
81°
Step-by-step explanation:
x° and 24° are interior angles of a triangle that are opposite to an exterior angle of measure 105°. According to the exterior angle theorem of a triangle, thus:
[tex] x + 24 = 105 [/tex]
Subtract 24 from both sides
[tex] x + 24 - 24 = 105 - 24 [/tex]
[tex] x = 81 [/tex]
Value of x = 81°
Which recursive formula defines the sequence?
f(1) = 6, f(4) = 12, f(7) = 18
Step-by-step explanation:
Please help me I beg you I really need help.
Answer:
what's that ,we are all ears
i just got done cutting and taking out the seeds of chilies and i went to go use the restroom and now my bottom part is BURNING HELP ME
Answer:
Lol I can't help im sorry
WHATS A FUTURE FUNKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKK
500,325+6,773,500,135
Answer: future the time or a period of time following the moment of speaking or writing; time regarded as still to come.
Step-by-step explanation:
Lisa takes a night walk after dinner every night. She walks 1/4 mile in 2 minutes. How how does she walk in 10 minutes? (write-in decimal form)
Answer:
1.25 miles
Step-by-step explanation:
Lisa takes a night walk after dinner every night.
She walks 1/4 mile in 2 minutes.
Distance = 1/4 mile
Time, t = 2 minutes
For covering 1 mile,
1/4 mile = 2 minutes
In 1 minute she will cover [tex]\dfrac{1}{8}\ \text{mile}[/tex]
For 10 minutes, she will cover [tex]\dfrac{10}{8}\ \text{mile}\ or\ 1.25\ \text{miles}[/tex]
So, she will cover 1.25 miles.