Answer:
1. 0.7421 = 74.21% probability the elevator is overloaded.
2. D.No, there is a good chance that 10 randomly selected people will exceed the elevator capacity.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes 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.
Assume that weights of males are normally distributed with a mean of 166 lb and a standard deviation of 29 lb.
This means that [tex]\mu = 166, \sigma = 29[/tex]
Sample of 10.
This means that [tex]n = 10, s = \frac{29}{\sqrt{10}}[/tex]
1.The probability the elevator is overloaded is?
Probability that the sample mean is above 160 pounds, which is 1 subtracted by the p-value of Z when X = 160. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{160 - 166}{\frac{29}{\sqrt{10}}}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a p-value of 0.2579.
1 - 0.2579 = 0.7421
0.7421 = 74.21% probability the elevator is overloaded.
2. Does this elevator appear to be safe?
High probability of the elevator being overloaded, so not safe. Correct answer is given by option D.
you have it $15 for the movie the cost of a movie ticket is $3 write an inequality to show how much money you can spend on treats.
Answer:
$3+x is less than or equal to $15
Step-by-step explanation:
I can't write the sign but it's < with a line under it
Step-by-step explanation:
y≥15-3
I am not sure
The weights of 11 swimmers in the team were recorded by the coach and the average
weight was 86 pounds. Three swimmers whose weights were 88 pounds, 79 pounds,
and 83 pounds left the team. What was the new average?
Answer:
87
Step-by-step explanation:
87 x 11= 946
946-88-79-83=696
696/8 = 87
find the slope of the line
(2,5) and (0,5)
Answer:
y=5
Step-by-step explanation:
Plugging in the two points.
(2,5). y=mx+b or 5=0 × 2+b, or solving for b: b=5-(0)(2). b=5.
(0,5). y=mx+b or 5=0 × 0+b, or solving for b: b=5-(0)(0). b=5.
Hence, equals to y=5
Third one (Probably two or one more left)
6×25= 150
17×5= 85
150+85= 235
the answer is 235 :3
HELP ASAP will give brainist
what is the probability that the third spinner lands on a perfect square or a gray space?
6/12 or 1/2
Answer:
There are 6 gray spaces (12, 2, 4, 6, 8, 10) and 3 perfect squares (4, 9, 1). However, 4 is repetitive (it is gray and a perfect square) so there are only 8 we want. There are 12 numbers/spaces in total. The probability formula is (# of desired outcomes)/(# of total outcomes). In this case, there are 8 desired outcomes and 12 total outcomes. So, our answer is 8/12, or 2/3.
The spinner has 8 congruent sections. What is the probability of
spinning a number divisible by 3 two times in a row?
Answer:
1/16 or 0.0625
Step-by-step explanation:
There are two numbers on the chart that are divisible by 3.
So the odds of spinning and getting one of those on the first try would be 2/8 or 1/4.
The odds are then multiplied by the chance of spinning it again on the second try, which would still be 1/4.
To get: 1/16
I need help badly and don't send no links or you will be reported
Answer: - 3/2
Step-by-step explanation:
Use this formula to find the slope for any two given points.
(4, 3) and (6, 0)
↓ ↓ ↓ ↓
x1 y1 x2 y2
y2 - y1 0 - 3
--------- = ---------- = -3/2
x2 - x1 6 - 4
Hope this helped! :)
A cylindrical can is to be constructed for 80 cents. The cost of the material used for the top and the bottom is 3 cents per square inch, and the cost of the material used for the curved side is 2 cents per square inch. Express the volume of the can as a function of its radius. (Recall the volume of a cylinder is V
Answer:
V = r(40 - 3πr²)/2
Step-by-step explanation:
We know the area of a cylinder, A = 2πr² + 2πrh where r = radius and h = height.
Now, 2πr² = area of top and bottom and 2πrh = curved surface area
Since the cost of material for the top and bottom is 3 cents per square inch, the total cost of the materials for top and bottom = cost of material × area = 3 × 2πr² = 6πr²
Also, the cost of material for the curved is 2 cents per square inch, the total cost of the materials for the curved side = cost of material × area = 2 × 2πrh = 4πrh
The total cost of material = 6πr² + 4πrh
Since the total cost of material = 80 cents,
6πr² + 4πrh = 80
3πr² + 2πrh = 40 (1)
Now, the volume of a cylinder, V = πr²h
From (1), making h subject of the formula, we have
3πr² + 2πrh = 40
2πrh = 40 - 3πr²
h = (40 - 3πr²)/2πr
Substituting h into V, we have
V = πr²h
V = πr² (40 - 3πr²)/2πr
V = r(40 - 3πr²)/2
Solve for xx. Round to the nearest tenth, if necessary.
Step-by-step explanation:
S+T+U=180°{sum of angle of triangle}
68°+90°+U=180°U=180-158°U=22°sin theta= p/h
sin22°=x/83
o.37=x/83
x=0.37×83
x=30.71
x=31
stay safe healthy and happy.
The profit, P, realized by a company varies directly as the number of products it sells. If a company makes a profit of $7800 on the sale of 325 products, what is the profit when the company sells 5000 products?
A.80000
B.100000
C.120000
D.60000
Answer:
C) 120,000
Step-by-step explanation:
Let's use fractions.
7800 = x
---------- -------- . 325 5000 What we are going to do is multiply 325 times x and 7800 times 5000 . 7800 times 5000 equals 39,000,000. 325 times x equals 325x. The reason why we put the info this way is because we are trying to find the profit for a certain number of products . If we were trying the number of products we would put 5000 on top and the x on the bottom of the fraction the n croos multiply but this is not the case.
39,000,000 = 325x
----------------- --------
325 325
Next, we are going to divide 325 on both sides to get x ( in this case x equals the answer) by itself.
39,000,000 /325 = 120,000
325x / 325 = x
x = 120,000
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 50 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using Minitab, resulting in the accompanying output.
Variable N Mean St Dev SEMean Z P -Value
lifetime 50 738.44 38.20 5.40 -2.14 0.016
What conclusion would be appropriate for a significance level of .05? A significance level of .01? What significance level and conclusion would you recommend?
prove that 1-cosA/sinA=cosecA-cotA
Answer:
See the proof below
Step-by-step explanation:
prove that 1-cosA/sinA=cosecA-cotA
Starting from RHS
cosecA-cotA
From trig identty
cosec theta = 1/sintheta and cot theta = cos theta/sin theta
Hence;
cosecA-cotA
= 1/sinA - cosA/sinA
FInd the LCM
= 1-cosA/sinA (LHS)
3 9 26
a. Use eoch digit once, make the smallest 4-digit number:
b. Use each digit once, moke the largest 4-digit number :
c. You can use one diga twice, make the smallest 4-digit number:
c. You con use one digit twice make the largest 4-digit number
.
What is the equivalent radian measure for the angle 53?
9514 1404 393
Answer:
D (53π)/180
Step-by-step explanation:
There are π/180 radians in 1 degree, so in 53°, there are ...
53(π/180) radians = (53π)/180 radians
Help with Math Question 1
Answer:
Step-by-step explanation:
X is also 67° Like the interior angle
will give brainliest ASAP PLEASE HELP!
Answer:
7k+7
41
Step-by-step explanation:
Distribute the 7 -
7(k+1)
7 * k = 7k
7*1 = 7
so 7k + 1
Insert 3 instead of x, so it reads -
[tex]5[/tex][tex](3)^{2}[/tex] - 4
[tex]3^{2} = 9[/tex]
9 * 5 = 45
45 - 4 = 41
Simplify the expression using order of operation (11 - 8)^3 - 2 x 6
Answer:
500
Step-by-step explanation:
(11-3)^3-2x6
first evaluate 11-3-->8
then cube it-->8^3=512
then multiply 2x6-->12
then subtract the two-->512-12=500
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{Just do PEMDAS}[/tex]
[tex]\huge\textsf{Parentheses}[/tex]
[tex]\huge\textsf{Exponents}[/tex]
[tex]\huge\textsf{Multiplication}[/tex]
[tex]\huge\textsf{Division}[/tex]
[tex]\huge\textsf{Addition}[/tex]
[tex]\huge\textsf{Subtraction}[/tex]
[tex]\mathsf{(11 - 8)^3 - 2\times 6}[/tex]
[tex]\mathsf{11 - 8 = \boxed{\bf 3}}[/tex]
[tex]\mathsf{3^3 - 2 \times 6}[/tex]
[tex]\mathsf{3^3 = 3\times 3\times 3 = 9\times 3 = \boxed{\bf 27}}[/tex]
[tex]\mathsf{27 - 2 \times6 }[/tex]
[tex]\mathsf{2\times 6 = \boxed{\bf 12}}[/tex]
[tex]\mathsf{27 - 12}[/tex]
[tex]\boxed{\mathsf{\bf= 15}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{Answer: \bf 15}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
6th grade, the problem solving is on the image
Answer:
y = x + 3
Step-by-step explanation:
Equation of the line can be written as y = mx + b (slope-intercept form)
Let's find the slope (m) and the y-intercept (b)
Slope (m) = change in y/change in x
Using two points on the line, (0, 3) and (1, 4),
Slope (m) = (4 - 3)/(1 - 0) = 1/1
m = 1
y-intercept (b) = 3 (the coordinate of the point where the y-axis is intercepted by ye line)
To write the equation, substitute m = 1 and b = 3 into y = mx + b
y = 1(x) + 3
y = x + 3
If Rashid faces north and then turns clockwise half a turn, in which direction does he face
Answer:naneeeeee
Step-by-step explanation:
if there 10 students and 2/5 play soccer how many students play soccer?
Answer:
4
Step-by-step explanation:
2 out of 5 play so if there is 10 students 10*2/5 = 4 students
Answer:
4 students would play soccer
Step-by-step explanation:
To make the total students 10 instead of 5 we multiply the information by 2. 2/5 times 2 equals 4/10. So 4 out of 10 studento play soccer
Charles is reading about computers. He learns that a computer processor can perform one command in approximately 0.000000016 nanoseconds. What is this number expressed in scientific notation?
Answer:
1.6 * 10^{-8}
Step-by-step explanation:
Given the following data;
Time = 0.000000016 nanoseconds
To express in standard scientific notation;
Scientific notation is a standard way of expressing very large numbers in powers of 10.
0.000000016 nanoseconds = 1.6 * 10^{-8} nanoseconds.
Note: count the number of zeros (0s) before 1 and write it to the power of 10.
Answer:
the correct answers are 1.6E-8 and 1.6 × 10-8
PLEASE HELP!!!!1!1!1! suppose one particular pyramid in egypt has a square base of side length 280 meters and a perpendicular height of 144 meters what is the surgace area of the pyramid?
Answer:
Pyramid Surface Area = .5 * Perim of Base * Slant Height
Slant Height^2 = 144^2 + 140^2
Slant Height^2 = 20,736 + 19,600
Slant Height^2 = 40,336
Slant Height = 200.8382433701
Surface Area = .5 * perim of base * slant height
Surface Area = .5 * 1,200 * 200.8382433701
Surface Area = 120,503 square meters
Source = www.1728.org/volpyrmd.com
Step-by-step explanation:
help very easy math!!
Answer:
[tex]y = x - 5[/tex]
Step-by-step explanation:
GIVEN :-
Slope of the line = 1y-intercept of the line = -5TO FIND :-
Equation of the line in slope-intercept formFACTS TO KNOW BEFORE SOLVING :-
Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]
SOLUTION :-
By using the basic idea of slope-intercept form , the equation of line given in the question is :-
[tex]y = (1 \times x) + (-5)[/tex]
[tex]=> y = x - 5[/tex]
I’m confused can somebody answer this?
14 is the asnwer because sqaure root of 200 is 14.14213562 and if you round that it is 14
Jamal borrowed $316 for nine months. He paid it off by paying $38.27 monthly.
What will he pay in finance charges?
The finance charge payed by Jamal is $28.43.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Amount borrowed by Jamal for nine months = $316
His monthly payment = $38.27
Total amount payed by Jamal for nine months = [tex]9(38.27)[/tex]
⇒ [tex]\$344.43[/tex]
Thus his finance charge = [tex]344.43-316[/tex]
⇒ [tex]\$28.43[/tex]
Hence we can conclude that the finance charge payed by Jamal is $28.43.
Learn more about word problems here
brainly.com/question/20594903
#SPJ2
Mikos family drove at a constant speed as they left home and traveled to the restaurant where they stopped for lunch. Does the relationship between hours elapsed x and distance traveled y represent a proportional relationship? Explain why or why not
(100 points and brainliest)
Answer:
yes,
distance = time * speed
the more hours you spend in the road, the longer distance you took
Step-by-step explanation:
Answer:
Yes, the relationship between hours elapsed x and distance traveled y represent a proportional relationship.
Step-by-step explanation:
This is because he continuously stayed at a constant speed and didn't change. Once you stay at a constant speed then it will always be a proportional relationship.
Lin drew this set of axes and plotted the points A=(1,2), B=(-3, -5), C=(5,7), D=(-4, -3), and E=(-4, 6) on them. Identify her mistakes! Which points were plotted incorrectly?
Answer:
B=(-3, -5)
Step-by-step explanation:
Select the correct answer.
What is the product of ?
A.
B.
C.
D.
Answer:
c the answer is c
Step-by-step explanation:
Answer:
C
I hope this helps
What is the value of n in the equation shown below?
2² x 21 = (24)3
Answer:
4
Step-by-step explanation:
i hope this helped :]
4) A bowl contains 8 red balls and 7 blue balls. One is drawn at random
and not replaced. A second ball is then drawn. What is the probability
that the first ball is blue and the second is red?