Answer:
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
Step-by-step explanation:
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.
Mean of 650 pounds and a standard deviation of 20 pounds.
This means that [tex]\mu = 650, \sigma = 20[/tex]
What is the probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste?
Less than 620:
pvalue of Z when X = 620. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{620 - 650}{20}[/tex]
[tex]Z = -1.5[/tex]
[tex]Z = -1.5[/tex] has a pvalue of 0.0668
More than 700:
1 subtracted by the pvalue of Z when X = 700. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{700 - 650}{20}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Total:
0.0668 + 0.0062 = 0.073
0.073 = 7.3% probability that a randomly selected student produces either less than 620 or more than 700 pounds of solid waste
HELP!! Which figure is a translation of Figure 1? *
Answer:
Figure B
Step-by-step explanation:
A translation moves a certain amount of spaces, but will never turn nor will it rotate.
what is 4x + 8 = 10
Item 2
A student has earned a 98%, 97%, 83%, 94%, and 90% on her unit tests.
What is the student's median unit test score?
Enter your answer in the box.
Answer: 92.4
Step-by-step explanation: Median is where you add up all numbers and then divide by how many numbers there are so it would be
98+97+83+94+90= 462 Then you divide that by 5 and get 92.4
Hope this helps ^^
Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
Learn more here:
Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...
https://brainly.in/question/10694066Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..
https://brainly.in/question/920470610 men can complete a job in 200 days. They started the work. After...
https://brainly.in/question/13973456There are 64 pencils in a pack. Mr. Math is the only teacher to give out pencils on day one and
he gave out 33 pencils. The math department wanted to decide how many total pencils there
are left in the school. Using p for the number of cases of pencils and t(p) for total number of
pencils, write an equation to determine the total number of pencils?
Answer:
Step-by-step explanation:
0 1
3 3 ⟌ 6 4
- 0
6 4
- 3 3
3 1
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the proportion of flanges that exceeds 1.00 millimeters. Enter your answer in accordance to the item a) of the question statement (b) What thickness is exceeded by 90% of the flanges
Answer:
a) 0.5 = 50% of flanges exceed 1 millimeter.
b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.
This means that [tex]a = 0.95, b = 1.05[/tex]
(a) Determine the proportion of flanges that exceeds 1.00 millimeters.
[tex]P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5[/tex]
0.5 = 50% of flanges exceed 1 millimeter.
(b) What thickness is exceeded by 90% of the flanges?
This is x for which:
[tex]P(X > x) = 0.9[/tex]
So
[tex]\frac{1.05 - x}{1.05 - 0.95} = 0.9[/tex]
[tex]1.05 - x = 0.9*0.1[/tex]
[tex]x = 1.05 - 0.9*0.1[/tex]
[tex]x = 0.96[/tex]
A thickness of 0.96 millimeters is exceeded by 90% of the flanges
Write an emergency that could happen that would have a financial cost
Answer:
Your house burning down.
Step-by-step explanation:
You would have to pay to repair it.
Answer:
Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.
The building fire will make people lost their things and the building need to rebuild.
Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.
Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.
Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.
Blasting vehicle will make the things in the car lose. the car need to put the windows on again.
Terrorist attacks will lost lives more than lost money or other things.
Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.
That is all I can think of.
What is equivalent to (2x - 5)(9-2)
Answer:
14x - 35
Step-by-step explanation:
:)
Identify 2 objects you could find in a grocery store that holds more than 100 milliliters
The chart shows the temperatures at noon during a week in January. HELP
Day
Monday
Tuesday
Wednesday
Thursday
Friday
Temperature
-6°F
0°F
5°F
-3°F
3°F
Which day was the coldest?
A. Monday
B. Tuesday
C. Thursday
D. Friday
Monday was the coldest day of the week, at -6 degrees Fahrenheit.
Question 8 of 10 A decrease in the amount of principal owed on a loan is called what? A. Note reduction B. Payment number C. Amortization O D. Unpaid balance
Answer:
A (Note Reduction)
Step-by-step explanation:
A p e x of course
Answer: note reduction
Step-by-step explanation:
A PE C
work out the circumference of this circle
give your answer in terms of pi
Answer:
37.68
Step-by-step explanation:
Well, the first thing first is to know the outline of the question. So I made sure I knew the diameter. In this case we didn't, so I multipilied 6 by 2 and got 12. Then I multipyed 12 by 3.14 to get 37.68
Sale 10 % off During the sale, Susan pays $603 for a wedding cake. What was the original price?
Answer:
$670
Step-by-step explanation:
1/10x + 603 = x
x -10x = -6030
-9x = -6030
x = 670
Please help me. I need help
Answer:
(X+1)(x+5)
Step-by-step explanation:
Answer:
the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)
what number is 30% greater than 20?
Answer:
26 is 30% greater than 20!hope this helped have a good day/night
URGENT PLEASE, I NEED THIS FOR A TEST RIGHT NOW- A jar one-fifth filled with water weighs 560g. The same jar four-fifth filled with water weighs 740g. What is the weight of the empty jar??
Answer:
493g.
Step-by-step explanation:
The lines graphed below are parallel. The slope of the red line is 2/5. What is the slope of the green line?
Answer:
It's D: 2/5
Step-by-step explanation:
Parallel lines have the same slope.
choose the correct equation
Answer:
y = -3x - 10
Step-by-step explanation:
Equation to represent the given table can be written in the slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):
Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1
Slope (m) = -3
b = y-intercept = the value of y when x is 0 = -10
To write the equation, substitute m = -3 and b = -10 into y = mx + b.
Thus:
y = -3x + (-10)
y = -3x - 10
Algebra 2
Help me pls
Answer:
log (150)=2.176091259
Answer:
log104=2.107
log150=2.176
log1025=3.011
log10570=4.024
log7=0.845
Step-by-step explanation:
To solve these questions, you can just plug them into your calculator:
log104=2.107033339≈2.107
log150=2.176091259≈2.176
log1025=3.010723865≈3.011
log10570=4.024074987≈4.024
log7=0.84509804≈0.845
Emma is training for a 10-kilometer race. She wants to beat her last 10-kilometer time, which was 1 hour 10 minutes. Emma has already run for 55 minutes. Which inequality can be used to find how much longer she can run and still beat her previous time? (1 hr = 60 min)
let x be how much longer she can run the race and still beat her previous time
55(min) + x(min) < 1(hr) + 10(min)
55(min) + x(min) < 60(min) + 10(min)
55 + x < 60 + 10
x < 60 + 10 - 55
x < 15(min)
Answer:
Answer is A
Step-by-step explanation: Taking the test so the answer is A
may kapangyarihan bilang pinakamataas na hukuman sa kolonya
Answer:
which language is this .
Please tell me how much it would be for 1
Answer: tall is 12 dollars
Step-by-step explanation:
Factor completely
486+108x+6x^2
Thank you!
Answer:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Step-by-step explanation:
[tex]468 + 108x + 6x^{2} \\6x^{2} +108x + 468[/tex]
Greatest common factor of 6, 108, and 486:
6 x 1 = 6
6 x 18 = 108
6 x 81 = 486
GCF: 6
so:
[tex]6(x^{2} +18x +81)[/tex]
[tex]x^{2} +18x + 81[/tex]
factors to:
(x + 9) (x + 9)
because:
9 x 9 = 81
9 + 9 = 18
So:
It factors completely too:
6(x + 9) (x + 9)
or
[tex]6 (x+9)^{2}[/tex]
Show that sin( + 180°) + 2 cos( − 360°) − sin( − 180°) = 2x
Answer:
Example 1: Change sin 80° cos 130° + cos 80° sin 130° into a trigonometric function in ... Example 2: Verify that cos (180° − x) = − cos x ... Example 7: Verify that sin (360° − x) = − sin x.
What are the next terms in the sequence 19, 36, 53,70
plzzz need help for this question
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The ratio of the vertical change to the horizontal change to any two points on a line is called _______ of the line
Answer:
The ratio of the vertical change to the horizontal change to any two points on a line is called ___slope___ of the line
Step-by-step explanation:
Slope will be your answer, hope this helps!
The teacher wants to group 87 students into teams which have the same number of students. There must be more than one team. At least how many teams are there and how many students are there in each team?
Answer:
3 teams and 29students in each team.
let, the team be x,y,&z
given all the team r equal so, x=y=z
x+y+z=87
3x=87
x=87/3
x=29
we get, x=y=z=29
hope it helps.
