Answer:
The approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
Step-by-step explanation:
[tex]\mu = 192[/tex]
[tex]\sigma = 31[/tex]
No. of passengers = n = 21
We are supposed to find the approximate probability that the total weight of the passengers exceeds 4432 pounds
[tex]x = \frac{4432}{21} \sim 211[/tex]
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{211-192}{31}[/tex]
Z=0.612
refer z table
P(Z<211)=0.7291
P(Z>211)=P(Z>4432)=1-0.7291=0.2709
Hence the approximate probability that the total weight of the passengers exceeds 4432 pounds is 0.2709
Mrs. Schmidt overlooked a bill and
had to pay a $15.00 late fee. The
total of the bill and the late fee
was $90.00. About what percent
of the grand total was the late fee?
Answer:
Step-by-step explanation:
It's besacilly asking what percentage of 90 is 15
15/90 is equal to 1/6
1/6 is about 16.67
Answer:
Step-by-step explanation:
Determine whether the given relations are functions.
Answer:
Yes, this relation is a function.
Step-by-step explanation:
It is a function because every input (left side) only has one output (right side). It doesn't matter if an output has multiple inputs. As long as an input has only one output, it is a function
Ex: 3 = 8 & 7 NOT an input
4 & 3 = 8 AN input
what is equal to the value of |-28|? *
Answer:
0 - 28 = -28
Step-by-step explanation:
To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.
Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He gently rolls his bowling ball towards the bowling pins lined up at the end of the lane. The bowling ball stops in the middle of the lane without striking the pins. Which statement below best explains what happened?
Answer: Ball's kinetic energy became potential energy
Step-by-step explanation:
There are no options attached but this should be along the lines of what happened.
Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.
The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.
Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?
Answer:
225776
Step-by-step explanation:
Trust me i got it right.
choose the ratio that is equivalent to this one 2/3 A. 6/4 B. 10/15 C. 5/6 D. 4/3
The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points
Answer:
0.1241.
Step-by-step explanation:
So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.
So, we will be making use of the formula given below;
The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².
The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.
Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.
What happens when more than one factor of production is varied?
See scor
Betsy a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of
deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?
FO
See score
rses
The amount of money invested at 15% =
The amount of money invested at 5% =
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er 1 Guided
Answer:
The amount of money invested at 15% = 30,000
The amount of money invested at 5% = 30,000
Step-by-step explanation:
Calculation for How much money should be invested
Let x dollars = 15%,
Let y dollars= 5%,
x + y = 60,000
0.15x + 0.05y = 6,000
Multiply the 1st Equation by -0.15:
-0.15x - 0.15y = -9,000
0.15x + 0.05y = 6,000
Add the 2 Equations :
-0.1y = -3,000
y=3,000/0.1
y = 30,000
Substitute 30,000 for y in the 1st Equation
x + 30,000 = 60,000
x = 60,000 - 30,000
x= 30,000
PROOF:
.15*30,000+.05*30,000=6,000
4,500+1,500=6,000
6,000=6,000
Hence,
The amount of money invested at 15% = 30,000
The amount of money invested at 5% = 30,000
How many solution does 8(3x-6=6(x+8) have
Answer:
Step-by-step explanation:
at most 1.
8(3x - 6) = 6(x + 8)
24x - 48 = 4x + 48 Subtract 4x
24x - 4x - 48 = 4x -4x + 48 Combine
20x - 48 = 48 Add 48 to both sides.
20x = 96 divide by 20
x = 96/20
x = 4.8
No other answer is possible.
HELPPPP PLZZZ ASAPPP!!!Look at the illustration of four letters from the American Manual Alphabet. Decide whether the description of the letter is a good definition. If not,
choose a counterexample.
The letter I is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.
The letter J is a counterexample
The letter y is a counterexample
The letter A is a counterexample
This is a good definition
while keeping your hand still
Answer: I think it’s J, because the picture is also holding the smallest finger up (the pinky) and the rest of the fingers are folded inside the palm of the hand and the thumb is folded over them, I hope this helps!!
Step-by-step explanation:
The letter J is a counter example. Option a is correct.
Letters of alphabet to be determine.
Alphabets are the sets of letters from A to Z.
Here, the little finger is up and all the finger is folded and the thumb folded over the three finger implies its 'J'.
Thus, the letter J is a counter example.
Learn more about alphabets here:
https://brainly.com/question/20261759
#SPJ2
find the slope of the graphed line though each pair of points
Answer:
C
Step-by-step explanation:
Find the measure of the missing angle
Answer:
M1=108° M2=72°
Step-by-step explanation:
M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°
Write the equation of a line given the slope is -2 and it goes through the point (4, -3).
Answer:
Step-by-step explanation:
y= -2x+5
From the point (4,-3) , ince the slope is -2, you start counting 2 up 1 left 2up 1 left.....( or 2down,1 right,2 down 1 right......) But you choose the first to know when you are going to cross the y line
When you reaches the y coordinate you are at 5
So the line intercepts at positive 5
Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly
Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
The angles on an original drawing must be multiplied by the scale factor to find the angles on a scale copy.
O True
O False
At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 12.0 bar with a standard deviation of 1.0 bar based on a very large data set obtained from continuous monitoring.
Required:
What is the probability that the line pressure will exceed 13.0 bar during any measurement?
Answer:
P [ Z > 13 ] = 0,1587 or P [ Z > 13 ] = 15,87 %
Step-by-step explanation:
The probability that the line pressure will exceed 13.0 bar is:
P [ Z > 13 ] = 1 - P [ Z ≤ 13]
And P [ Z ≤ 13] will be find in z table for z (score) =
z ( score) = ( Z - μ₀ ) / σ
z (score) = (13 - 12 )/1
Then from z-table we find
P [ Z ≤ 13] = 0,8413
Finally
P [ Z > 13 ] = 1 - P [ Z ≤ 13]
P [ Z > 13 ] = 1 - 0,8413
P [ Z > 13 ] = 0,1587 or P [ Z > 13 ] = 15,87 %
What is an equation in point- slope form of the line that passes through the points
(−7, 1) and (−3, 9) ?
Answer:
4/8
Step-by-step explanation:
Just subtract
-30 +5=
solve and explain
Answer:
-25
Step-by-step explanation:
-25 because a positive and a negative equals a negative and if you subtract those to number it equal -25 ( it also gets closer to zero so it's not in the positives yet!)
Answer:
-30 + 5 = -25
Step-by-step explanation:
30 - 5 = 25
so
-30 + 5 = 25
A pair of jeans was 30% off the original price. The sale resulted in $24 discount.
Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.
HELP ASAP IT'S AN EMERGENCY
Answer:
AAS
Step-by-step explanation:
It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!
The volume of a cone is 84pi cubic inches. If the radius of the cone is 6 inches determine its height
Answer:
7 inches
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 84\pi in^3[/tex]
[tex]Radius = 6in[/tex]
Required
Determine the height
Volume of a cone is:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute values for volume and radius
[tex]84\pi = \frac{1}{3}\pi * 6^2 * h[/tex]
[tex]84\pi = \frac{1}{3}\pi * 36 * h[/tex]
[tex]84\pi = \frac{36}{3}\pi* h[/tex]
[tex]84\pi = 12\pi* h[/tex]
Solve for h
[tex]h = \frac{84\pi}{12\pi}[/tex]
[tex]h = 7[/tex]
Hence:
The height is 7 inches
Given a right triangle with sides of length a, b, and c and area a²+b²-c², find c/b, the ratio of the legs of the right triangle.
Answer:
4
Step-by-step explanation:
Looking at the sketch we can formulate 2 equations:
Pythag: [tex]b^{2} +c^{2} =a^{2}[/tex]
Area of triangle= [tex]\frac{1}{2} bc[/tex]
But area also = [tex]a^{2} +b^{2} -c^{2}[/tex] (from the question)
Therefore [tex]\frac{1}{2} bc[/tex] = [tex]a^{2} +b^{2} -c^{2}[/tex]
But we can sub in the expression for [tex]a^{2}[/tex] from pythag. ([tex]b^{2} +c^{2} =a^{2}[/tex])
[tex]\frac{1}{2} bc= b^{2} +c^{2} +b^{2} -c^{2}[/tex]
[tex]\frac{1}{2} bc=2b^{2}[/tex]
[tex]bc=4b^{2}[/tex]
[tex]c=4b[/tex]
[tex]c/b= 4b/b=4[/tex]
If jake had 2 apples and Albert ate 1 how many apples are left?
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 26 ft long and 20 ft wide.
Find the area of the garden. Use the value 3.14 for it, and do not round your answer.
Answer:
26 multiplied by 20 is 529 which is the area
Step-by-step explanation: hi
How do I write 4,332 in scientific notation??
Answer:
4.332 x 10 to the 3 power I do believe
Step-by-step explanation:
Answer:
4.332 times 10^3
Step-by-step explanation:
ion kno if thats right but i tried.
What is the answer 17 divided by 5177 equals
Answer to How much is 5177 divided by 17 using long division ?
Math answers to fraction 5177 divided by 17 can be calculated as follows.
5177/17 math problems division = 304.529411765. Therefore 304.529411765 to 2 decimal places= 304.53
5177/17 divided by 2 » (5177/17) ÷ 2 » 304.529411765 ÷ 2 = 152.264705882
Which equation represents the line that passes through the
points (2,7) and (1, 4)?
Answer:
y=3x+1
Step-by-step explanation:
Use the slope formula and slope-intercept form y = m x + b to find the equation.
Answer:
(-4,3),(2,-12)
slope = (-12 - 3) / (2 - (-4) = -15/6
Step-by-step explanation:
y = mx + b
slope(m) = -15/6
use either of ur points...(-4,3)...x = -4 and y = 3
now we sub into the formula and find b, the y int
3 = -15/6(-4) + b
3 = 10 + b
3 - 10 = b
-7 = b
so ur equation is : y = -15/6x - 7....but we need it in standard form
y = -15/6x - 7...add 15/6 to both sides
15/6x + y = -7...multiply both sides by 6
15x + 6y = -42....which reduces to 5x + 2y = - 14 <===
PLEASEEE HELPPP!!!! Find the slope given the points (-14,-7) and (-11,-16).
Answer:
-3
Step-by-step explanation:
Answer:m= -3
Step-by-step explanation:
Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7
how do i solve this
Answer:
Solution: x=5, y=4
Step-by-step explanation:
System of Equations
We need to solve:
- 5x + 9y = 11
x - 3y = - 7
There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:
x = - 7 + 3y
Now replace it into the first equation:
- 5(- 7 + 3y) + 9y = 11
Operate:
35 - 15y + 9y = 11
Simplify:
35 - 6y = 11
Rearrange:
- 6y = 11 - 35 = -24
Solve:
y = -24 / -6
y = 4
Finally, since
x = - 7 + 3y
x = - 7 + 3*4
x = - 7 + 12
x = 5
Solution: x=5, y=4
