Answer: a) 62.591 lb b) 7.5
Step-by-step explanation:
Answer:
a) 62.625 lb
b) 8.35
Step-by-step explanation:
a) Use a proportion.
4 gal is to 33.4 lb as 7.5 gal is to x lb.
4/33.4 = 7.5/x
4x = 33.4 * 7.5
4x = 250.5
x = 62.625
Answer: 62.625 lb
b) 33.4/4 = 8.35
Tada!!!!!
In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. Assume that the average weight of students, faculty, and staff on campus is 151 lb, that the standard deviation is 25 lb, and that the distribution of weights of individuals on campus is approximately normal. If a random sample of 16 persons from the campus is to be taken:
a. What is the expected value of the sample mean of their weights?
b. What is the standard deviation of the sampling distribution of the sample mean weight?
c. What average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lb?
d. What is the chance that a random sample of 16 persons on the elevator will exceed the weight limit?
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]
Find the coordinates of the reflection: B (7,-1) is reflected over the x-axis B’=?
Answer:
(7;1)
Step-by-step explanation:
The abscissa of B' is going to be the same as abscissa of B , becuse the points are simmetrical over axis x.
However the ordinate of the point B' will have the opposite sign as ardinate B. However the module of ordinate B' is going to be the same as module of orrdinate B.
Ava was looking for treasure.
She looked on a sandy beach. The
length of the beachy spot was 2 1/4
feet by 1 1/2 feet. What was the
area of the beachy spot?
I need help with this please
PLEAS HELP FAST!!!!!!!!!!!!!!
Answer: Point D
Step-by-step explanation: Point D is at 3 and 3/4.
I think the answer is point D
36/ BLANK= 12/ BLANK FILL IN THE BLANKS PLEASE
Answer:
All real numbers
Step-by-step explanation:
36/something1 = 12/something2
36/12=3
to get from something1 to something2 you divide by 3
36/3x=12/x
Cross multiply
36x=12*3x
36x=36x
x=x
Since each side of the equation is equal, the solution is all real numbers
I hope this helps :)
To finish a certain job in 8 days, 6 workers are needed. If it is required to finish the same job in 2 days advance, how many workers have to work? *
8 points
Answer: 96 workers
Step-by-step explanation:
First you multiply 8 and 6 then by 2.
8 x 6= 48
48 x 2= 96
96 workers to help the business
What is the measure of 1 Explain
Answer:
what measure one
Step-by-step explanation:
What are u talking bout
There is no picture or anything
Answer:
I wish I could help.
Step-by-step explanation:
There is no picture or a complex explanation.
What is the median 5,7,9,10,16,17,20
Answer:
10
Step-by-step explanation:
For an odd number of values, the median is the middle value when you write the values in ascending order.
5, 7, 9, 10, 16, 17, 20
The median is 10.
Please help! BRAINLIEST to correct answer!
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]2 {x}^{3} + 2 {x}^{2} - 40x = [/tex]
[tex]2x( {x}^{2} + x - 20) = [/tex]
[tex]2x(x - 4)(x + 5)[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The correct answer is (( a )) .
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The first option is the correct one.
[tex]2 {x}^{3} + 2 {x}^{2} - 40x[/tex]
[tex]2x( {x}^{2} + x - 20)[/tex]
[tex]2x(x - 4)(x + 5)[/tex]
Cuánto le falta a 3/5para llegar a 9/10
Answer:
3/10
Step-by-step explanation:
3/5 se puede convertir en 6/10
(3x2)/(5x2).
9/10 - 6/10 = 3/10
le falta 3/10 para llegar a 9/10.
Suppose that E and f are two events and that P(E and F)=0.3 and P(E)=0.5. What is P(F/E)?
Answer:
[tex]P(F/E) = 0.6[/tex]
Step-by-step explanation:
If we are given two dependent events [tex]A[/tex] and [tex]B[/tex] such that their chances of occurrence or the probabilities of the events are: [tex]P(A)[/tex] and [tex]P(B)[/tex].
Then the conditional probability that the event [tex]B[/tex] will occur given that [tex]A[/tex] has already occurred is given by the following formula:
[tex]P(B/A) = \dfrac{P(A \cap B)}{P(A)}[/tex]
Here the two events given are [tex]E[/tex] and [tex]F[/tex].
[tex]P(E\ and\ F)\ or\ P(E\cup F) = 0.3[/tex]
and [tex]P(E) = 0.5[/tex]
As per the above formula that we have already discussed, the formula can be written as:
[tex]P(F/E) = \dfrac{P(E \cap F)}{P(E)}\\\Rightarrow P(F/E) = \dfrac{0.3}{0.5}\\\Rightarrow P(F/E) = \dfrac{3}{5}\\\Rightarrow \bold{P(F/E) = 0.6}[/tex]
helppppp please I will give brainliest
I need help on this one
A random sample of 1028 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1028 adults surveyed, 521 indicated that televisions are a luxury they could do without.
Answer:
lol
Step-by-step explanation:
what is the question
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/min. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 120 cm^2?
Answer:
The base is decreasing at 2 cm/min.
Step-by-step explanation:
The area (A) of a triangle is given by:
[tex] A = \frac{1}{2}bh [/tex] (1)
Where:
b: is the base
h: is the altitude = 10 cm
If we take the derivative of equation (1) as a function of time we have:
[tex] \frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b) [/tex]
We can find the base by solving equation (1) for b:
[tex] b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm [/tex]
Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:
[tex] 2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm) [/tex]
[tex]\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min[/tex]
Therefore, the base is decreasing at 2 cm/min.
I hope it helps you!
If a line has a rise of 2 and a run of 2, what is its slope
Answer:
It's a positive slope it's not going down it's going up every time you go up to you go over to making it a positive slope
Step-by-step explanation:
how many terms are there in the expression 2x - 3y + 8?
Answer:
Three. 2x, -3y, and 8.
Step-by-step explanation:
For every constant or variable, there is a term.
In this expression, there are two variables (x and y) and there is a constant (8).
Hence, there are three terms.
Hope this helped!
ASAP HELP PLEASE ITS IS VERY NEEDED
Answer:
D. no solution because the other answers if you plug them in dont work
how do i solve this help
Answer is : A .. Hope it helped
Let the factors, a1, a2, … a9 of a9 be written in a square 3 by 3 array as indicated. Let a1 Help me plz
Answer:
61.2
Step-by-step explanation:
To solve this, we would have to use the arithmetic progression formula
S(n) = a + (n - 1) d, where
S(n) = is the value of the nth term
a = value of the first term
n = the nth term we're interested in
d = difference between successive terms
We're given that the first term, a1 = 1.we also know that the 6th term, a6 = 44
If so, we can use this to get our "d", saying
44 = 1 + (6 - 1) d
where
44 is the value of the 6th term, and n is 6. Also, the first term a = 1. Simplifying further we have
44 = 1 + 5d
5d = 44 - 1
5d = 43
d = 43/5
d = 8.6
This means that the difference between successive term is 8.6, we then use this "d" to find our 8th term
S(n) = 1 + (8 - 1) 8.6
S(n) = 1 + 7 * 8.6
S(n) = 1 + 60.2
S(n) = 61.2
Therefore, the 8th term is 61.2
*Find 6 5/8% of $1,480.90. Round to the nearest cent.
9514 1404 393
Answer:
$98.11
Step-by-step explanation:
If your calculator doesn't work with mixed numbers, you must first convert 6 5/8% to a decimal fraction.
6 5/8 = (6·8+5)/8 = 53/8 = 6.625
6 5/8% = 0.01×6.625 = 0.06625
Then the desired amount is ...
0.06625 × $1480.90 = $98.109625 ≈ $98.11
6 5/8% of $1,480.90 is $98.11.
write a poem about linear functions.
Answer:
what are linar functions
Step-by-step explanation:
Need help with statistics question please.
25. Filling Bottles A certain brand of apple juice is supposed to have 64 ounces of juice. Because the punishment for under filling bottles is severe, the target mean amount of juice is 64.05 ounces. However, the filling machine is not precise, and the exact amount of juice varies from bottle to bottle. The quality-control manager wishes to verify that the mean amount of juice in each bottle is 64.05 ounces so that she can be sure that the machine is not over- or under filling. She randomly samples 22 bottles of juice and measures the content and obtains the following data:
64.05 64.05 64.03 63.97 63.95 64.02 64.01 63.99 64.00 64.01 64.06 63.94 63.98 64.05 63.95 64.01 64.08 64.01 63.9 63.97 64.10 63.98
(a) Because the sample size is small, she must verify that the amount of juice is normally distributed and the sample does not contain any outliers. The normal probability plot and box plot are shown. Are the conditions for testing the hypothesis satisfied?
(b) Should the assembly line be shut down so that the machine can be re calibrated? Assume =0.06 ounces and use a 0.01 level of significance.
(c) Explain why a level of significance = 0.01 of might be more reasonable than 0.1 [Hint: Consider the consequences of incorrectly rejecting the null hypothesis.]
Answer: Hmm this question was very hard.
Step-by-step explanation:
How many distinct rearrangements of the letters in "tweedledee" are there?
Answer:
weed ,led ,we, tee , tweedle
16.43 in word form math
Answer:
Sixteen and forty-three hundredths
Step-by-step explanation:
hey everyone! I need help with 2 things! the first one is what 9+(-8) and -5+-4
Answer:
1. 9+(-8) = 1
2. -5+-4 = -9
Step-by-step explanation:
the charge for a 7 min call is Rs.42.
find the rate per min
42 dollars/7 minutes
÷ by 7 on both
6 dollars/1 minute
hope this helped
please make this brainliest
Jan raised $120.75 at the car wash. If each wash costs $5.75, how many cars did she wash?
Answer:
She washed 21 cars
Step-by-step explanation:
Answer:
Jan washed 21 cars
Step-by-step explanation:
120.75 / (Divided) 5.75=21
If you were to times 5.75 by 21 you will get the amount she rasied at the car wash
The larger of two numbers is four more than three times the smaller. Two times the smaller, increased by five, results in the larger. What are both numbers?
Answer:
Determine the area of the archway with a semicircle top arch and two rectangular pillars.
The lower supports are
✔ congruent rectangles
and the area of the two supports is
✔ 24
square meters.
The upper arch can be decomposed as one semicircle with radius
✔ 6
meters minus a semicircle with radius 3 meters.
The area of the archway is (
✔ 13.5
π + 24) square meters.
Step-by-step explanation: