Answer:
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
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.
Normally distributed with the average of 7.95 lb and the standard deviation of 3.12 lb.
This means that [tex]\mu = 7.95, \sigma = 3.12[/tex]
Which value separates the top 2% of the weekly discarded paper weights in this area?
This is the 100 - 2 = 98th percentile, which is X when Z has a pvalue of 0.98. So X when Z = 2.054.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.054 = \frac{X - 7.95}{3.12}[/tex]
[tex]X - 7.95 = 2.054*3.12[/tex]
[tex]X = 14.36[/tex]
The value of 14.36 lb separates the top 2% of the weekly discarded paper weights in this area.
Maury and his mom painted the rectangular wall in Maury room Maury painted 1/6 of the wall and his mom painted 1/4 of the wall How much of the wall is still left to paint
Answer: 7/12
Step-by-step explanation:
1- 1/6 - 1/4
5/6 - 1/4
10/12 - 3/12
7/12 left
How many cuboids of size 4m x 3cm X 2cm. Can be made from a cuboid of size 12cm x 9cm x 6 cm ?
Answer:
Lets find volume of smaller cubiod first.
Volume = l x b x h = 24 cm³
Again,
Lets find volume of bigger cuboid.
Volume = l x b x h = 648cm³
Now,
The no. of cuboids that can be made from the bigger cuboid is
= Volume of bigger cuboid / volume of smaller cuboid
= 648/ 24
= 27 cuboids
Find the perimeter and area of the figure
Answer:
C.
Step-by-step explanation:
C. is the only answer option with the correct perimeter of 18u
area is correct too
Answer:C
Step-by-step explanation: If you look at the graph it shows that the triangle is 18.u as a perimeter and 20.5 as area.
WHAT'S 675 DIVIDED BY 8 HELPPPP PLEASE TELL ME THE NUMBERS TO SHOW MY WORK
Answer:
85.625 is the answer
Step-by-step explanation:
or, 85 whole 5/675
A number is added to 12, and the result divided by 2. the answer is the same as you get by subtracting the number from 4. what is the number?
Answer:
1 1/3
Step-by-step explanation:
(x+12)/2 = 4-x
Step 1, multiply both sides by 2 to remove that pesky fraction. x+12 = 8–2x
Step 2, add 2x to both sides to remove x from the right hand side. 3x+12 = 8
Step 3, minus 12 from both sides, removing it from the left hand side. 3x = -4
Step 4, divide by 3. x = 1 1/3
Answer:
the number is 20
Step-by-step explanation:
Equation: let x be the missing number
x + 12 ÷ 2 = x - 4
first step: multiply 2 on both sides to get rid of the division
x + 12 ÷ 2 × 2 = x - 4 × 2
x + 12 = 2x - 8
second step: add 8 on both sides:
x + 12 + 8 = 2x - 8 + 8
x + 20 = 2x
third step: subtract x on both sides:
x - x + 20 = 2x - x
20 = x
to check: substitute 20 for x
x + 12 ÷ 2 = x - 4
20 + 12 ÷ 2 = 20 - 4
32 ÷ 2 = 16
16 = 16
Mary has a garden shaped like the figure below. The drawing is not to scale.
22 ft
18 ft
18 ft
11 ft
14 ft
5 ft
What is the area of the garden?
Answer:
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
14 x 5=70
22 x 4 = 88
14 x 6 =84
84/2= 42
70 + 88 + 42 = 200
What is the simplified value of the exponential expression 27 Superscript one-third?
3
9
Answer:
simplified value of the exponential expression 27 Superscript one-third
27= 3×3×3
=[tex]3^{3}[/tex]
answer is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
The answer above is correct.
1 Anthony purchased a car for $9,400. He paid 6.5% sales tax. How much tax did he pay?
Answer:
$8789
Step-by-step explanation:
you suptract 9,400. and 6.5%
Answer:
answer is $8789
Step-by-step explanation:
she is correct
What is the solution to the following system? Type answer in (x,y) format, do not use spaces,
(Graphing)
(Worth 10 points)
Answer:
The solution is: (4,-7)
Step-by-step explanation:
Given
The attached graph
Required
Determine the solution
The solution is the point where both lines meet.
From the attached graph, the two lines meet at:
[tex]x =4\\y = -7[/tex]
Hence, the solution is: [tex](4,-7)[/tex]
Is it a right triangle please help!
Answer:
no
Step-by-step explanation:
Hello There!
We can figure out if the given side lengths form a right triangle using the Pythagorean Theorem
The Pythagorean Theorem states that the hypotenuse (longest side) squared equal to sum of the two legs squared
so if it is a right triangle then
[tex]74^2=71^+24^2[/tex]
[tex]74^2=5476\\71^2=5041\\24^2=576\\5041+576=5617\\5476\neq 5617[/tex]
5617 is not equal to 5476 therefore the given side lengths do not form a right triangle
~TheMathWIz
Jim did 35 push-ups on Saturday, 42 push-ups on Sunday, 49 push-ups on Monday, and 56 push-ups on Tuesday. What kind of sequence is this?
Answer:
increasing sequence of +7
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Find f(-3) when f(x) = -x + 1
Answer:
4
Step-by-step explanation:
so when it says f(x)=-x+1
the x values are constant so what value is in f(x) the value of x goes right into -x+1
f(-3)=-x+1
f(-3)=-(-3)+1
f(-3)=4
Answer:
yea the anwser is 4
（>﹏<）
Jodie has $70 to spend on flowers for a school event. She wants to buy roses for $24 and spend the rest on lilies. Each lily flower costs $12. How many can she purchase without going over her budget?
Answer:
only 3
Step-by-step explanation:
s
31
T
114°
R
U
v
In the figure above, RT = TU. What is
the value of x ?
A) 72
B) 66
C) 64
D) 58
Answer:
c 64 is your answer im pretty sure
A right rectangular prism has a volume of 3536 cubic feet, and the length 8 of the base of the prism is 9 feet longer than its width. The height of prism is 26 feet. What are the dimensions of the base of the prism?
Answer:
Base = 8 * 17
Step-by-step explanation:
(Not sure what the "8" is, assuming an accidental input.)
Base area = 3536/26 = 136
136 = Lw
L = 136/w
L = w + 9
136/w = w + 9
136 = w(w + 9)
136 = w² + 9w
w² + 9w - 136
(w + 17)(w - 8)
Only use the positive result. w = 8
L = 8 + 9 = 17
Edit: Maybe 8 is the answer accidentally included in the question?...
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:
Answer:
It's the graphic A.
,,,,,,
Write an expression that represents the area of only the red shaded region in terms of x
Answer:
1st find the area of bigger rectangle ie l×b
again find area of small rectangle ie l×b
now subtract area of small rectangle by bigger one you get the area of shaded part
Please answer at least one of the pictures attached below
Answer:
HOLD ON ILL BE RIGHT BACK
Step-by-step explanation:
A machine used to fill beverage cans is supposed to supply exactly 16 ounces toeach can, but the actualamount supplied varies randomly from can to can. The machine is calibrated so that the population standard deviation is 0.04 ounces. How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence
Answer:
48 cans must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The machine is calibrated so that the population standard deviation is 0.04 ounces.
This means that [tex]\sigma = 0.04[/tex]
How many filled cans must be sampled so that we estimate the mean fill volume within 0.015 ounces with 99% confidence?
n cans must be sampled, and n is found when M = 0.015. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.015 = 2.575\frac{0.04}{\sqrt{n}}[/tex]
[tex]0.015\sqrt{n} = 2.575*0.04[/tex]
[tex]\sqrt{n} = \frac{2.575*0.04}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*0.04}{0.015})^2[/tex]
[tex]n = 47.2[/tex]
Rounding up, 48 cans must be sampled.
16
15. The dimensions of a triangle
with base 4 m and height
5 m are multiplied by 3. How
is the area affected?
Answer:
It increases it by 9.
Step-by-step explanation:
Given the following data;
Base = 4m
Height = 5m
Area of triangle = ½*base*height
Area of triangle = ½*4*5
Area of triangle = 2 * 5
Area of triangle = 10 m²
Multiplying the parameters by 3, we have;
Base = 4 * 3 = 12m
Height = 5 * 3 = 15m
To find the area of triangle;
Area of triangle = ½*base*height
Area of triangle = ½*12*15
Area of triangle = 6 * 15
Area of triangle = 90 m²
Therefore, multiplying the dimensions by a factor of 3 increases the area by 9.
In the interval 0º < x < 360°, find the values of x for which tan x= -0.6745
Give your answers to the nearest degree.
Step-by-step explanation:
Given interval
0º < x < 360°
tan X = - 0.6745
tan X = tan 146 ° , tan 326
Either
tan X = tan 146
x = 146°
Or
tan X = tan 326°
x = 326°
Therefore the answers are
x = 146° and 326°
Hope it will help :)❤
find the greatest 5 digit number which exactly divide by 16, 56 and 120
five-digitsinceStep-by-step explanation:
Ummm.....I have never done this before but I THINK what your supposed to do is find the lcm of all the pairs you can get from those 3 numbers.
so lcm(16,56)=112
lcm(56,120)=840
lcm(16,120)=240
Now take any number from this and take the lcm of that
lcm(112,840)=1680
that is the number if you take the lcm of any of them so it is the lcm of them all but it is not a number. so 16,56, and 120 are divisible by 2 I just multiplied 1680 by 2 until I got the highest possible 5 digit number which was 53760
Hope that helps :)
9514 1404 393
Answer:
99120
Step-by-step explanation:
The LCM of 16, 56, 120 can be found from their factors:
16 = 2^4
56 = 2^3 · 7
120 = 2^3 · 3 · 5
So, the least common multiple is 2^4×3×5×7 = 1680.
10^5/1680 = 59 r 880
The largest 5-digit number divisible by 16, 56, and 120 is 59×1680 = 99120.
PLEASE HELP ME NO LINKS I AM BEGGING U !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
x = 70
Step-by-step explanation:
The measure of the angle x° is half the sum of the intercepted arcs.
x° = (112° +28°)/2 = 140°/2
x° = 70°
Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problems that are due by tomorrow. 4th grade
PLEASE HELP ME I WILL GIVE BRAINLIEST
DONT STEAL POINTS PLEASE
19. A sample of 50 retirees is drawn at random from a normal population whose mean age and standard deviation are 75 and 6 years, respectively.19a. Describe the shape of the sampling distribution of the sample mean in this case.19b. Find the mean and standard error of the sampling distribution of the sample mean.19c. What is the probability that the mean age exceeds 73 years
Answer:
a) Approximately normal.
b) The mean is 75 years and the standard deviation is 0.8485 years.
c) 0.9909 = 99.09% probability that the mean age exceeds 73 years
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 estabilishes 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.
Sample of 50 retirees
This means that [tex]n = 50[/tex]
Mean age and standard deviation are 75 and 6 years
This means that [tex]\mu = 75, \sigma = 6[/tex]
a. Describe the shape of the sampling distribution of the sample mean in this case
By the Central Limit Theorem, approximately normal.
b. Find the mean and standard error of the sampling distribution of the sample mean.
By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]
c. What is the probability that the mean age exceeds 73 years?
This is 1 subtracted by the pvalue of Z when X = 73.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{73 - 75}{0.8485}[/tex]
[tex]Z = -2.36[/tex]
[tex]Z = -2.36[/tex] has a pvalue of 0.0091
1 - 0.0091 = 0.9909
0.9909 = 99.09% probability that the mean age exceeds 73 years
Valeria operates an orange juice stand. On Monday, she used 4 1/2
Tuesday she used 3/4 as many oranges as on Monday. How many bags of oranges did Valeria use on
Tuesday?
Answer:
0.37
Step-by-step explanation:
The area of a parallelogram is 26, and the lengths of its sides are 9.3 and 9.8. Determine, to the nearest tenth of a degree, the measure of the acute angle of the parallelogram.
Answer:
16.6°
Step-by-step explanation:
area = ab sinθ a and b: base and oblique side length θ: angle between
26 = 9.3 x 9.8 sinθ
sinθ = 26 / (9.3 x 9.8) = 0.285276
θ = 16.6
Which angle measure is a complement of an angle whose measure is 62 degrees?
A 96
B 118
C 16
D 28
angle measure is a complement of an angle whose measure is 62 degrees=90-62=28.
Answer:
D 28 is your answer
i need help plsss help
Answer:
d
Step-by-step explanation:
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