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Related Questions
A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.45 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.45 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
Answers
Answer:
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
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.
What is the probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials?
2.45 standard deviations above the mean is Z = 2.45, so this probability is the p-value of Z = 2.45.
Looking at the z-table, Z = 2.45 has a p-value of 0.9929.
0.9929 = 99.29% probability that the carbon fiber composite material can withstand pressure less than 2.45 standard deviations above the mean when compared to the individual materials
When solving for y, in which step did Ramon make a mistake?
a) step one,Ramona re-wrote the system incorrectly
b) step two,Ramona should have multiplied the first equation by -4 instead of -2
c) in step three Ramona simplify -28+10 as -18 instead of simplifying to 18
d) in step four, Ramona should have divided by -6 instead of dividing by 6
show work
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A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at time t according to the relationship,
cos theta 2x/2y + gt2
where theta = the angle of elevation of the launcher and g = the acceleration due to gravity An artilleryman is firing at an enemy bunker located 2450 feet up the side of a hill that is 6175 feet away. He fires a round, and exactly 2.27 seconds later he scores a direct hit.
(a) What angle of elevation did he use?
(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.
Answers
Answer:
a. 22.3°
b. 2940.16 ft/s
Step-by-step explanation:
Here is the complete question
A projectile fired into the first quadrant from the origin of a coordinate system will pass through the point (x, y) at the relationship cot theta = 2x/2y + gt^2 where theta is the angle of elevation of the launcher and g is the acceleration due to gravity (32.2 feet/second^2). An artillery man is firing at an enemy barker located 2275 feet up the side of a hill that is 6325 feet away. He fires a round, and exactly 2.84 seconds later he scores a direct hit.
a. What angle of elevation did he use? theta = degree (Do not round until the final answer. Then round to one decimal place as needed.)
b. f the angle of elevation is also given by sec theta = v_0 t/x, where v_0 is the velocity of the weapon, find the muzzle velocity of the artillery piece he used. v_0 = feet/second (Round to two decimal places as needed.)
Solution
(a) What angle of elevation did he use?
Given that cosθ = 2x/(2y + gt²) where x = horizontal distance of projectile = 6175 feet away,y = vertical distance of projectile = 2450 feet up, g = acceleration due to gravity = 32 ft/s² and t = time of hit = 2.27 s
So, cosθ = 2x/(2y + gt²)
cotθ = 2 × 6175 ft/(2 × 2450 ft + 32 ft/s² × (2.27 s)²)
cotθ = 12350 ft/(4900 ft + 32 ft/s² × 5.1529 s²)
cotθ = 12350 ft/(4900 ft + 164.8928 ft)
cotθ = 12350 ft/(5064.8928 ft)
1/tanθ = 2.4384
tanθ = 1/2.4384
tanθ = 0.4101
θ = tan⁻¹(0.4101)
θ = 22.3°
(b) If the angle of elevation is also given by sec θ = υ0t/x. where υ0 is the muzzle velocity of the weapon, find the muzzle velocity of the artillery piece he used.
Making u0 subject of the formula, we have
u0 = xsecθ/t
u0 = x/tcosθ
since x = 6175ft, t = 2.27 s and θ = 22.3°, then
u0 = x/tcosθ
u0 = 6175 ft/(2.27 s × cos22.3°)
u0 = 6175 ft/(2.27 s × 0.9252)
u0 = 6175 ft/(2.1 s)
u0 = 2940.16 ft/s
a. 0
b. 4
c. 64
d. 128
Answers
Answer:
d. 128
Step-by-step explanation:
a. 0
b. 4
c. 64
d. 128
If the radius is 3.5in, then the diameter is
Answers
Answer:
the diameter is 7
Please help me ASAP I need this answer quick!!!
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Answer:
The Rule of 72 is a simplified formula that calculates how long it'll take for an investment to double in value, based on its rate of return. The Rule of 72 applies to compounded interest rates and is reasonably accurate for interest rates that fall in the range of 6% and 10%.
Write each expression using a single exponent.
H^14 over h^5
A. h-9
B. one over h to the ninth
C. h19
D. h9
Answers
Answer:
h^9
Step-by-step explanation:
When divided you subtract exponents 14-5=9
The expression using a single exponent is (d) h^9
Writing the expression using a single exponent.From the question, we have the following parameters that can be used in our computation:
h^14 over h^5
This means that
h^14/h^5
Apply the law of indices
So, we have
h^14/h^5 = h^(14 - 5)
This gives
h^14/h^5 = h^9
Hence, the solution is (d) h^9
Read more about expressions at
https://brainly.com/question/30492964
#SPJ6
Which numbers are equal to 24
8 divided by 1/3
6 divided by 1/8
9 divided by 1/4
4 divided by 1/6
12 divided by 1/2
Answers
Answer:
The first one
Step-by-step explanation:
I did this and got it right and I solved it
8×3 equal 24/1 so make it to a whole number 24
4 divided by 1/6= 24
12 divided by 1/2= 24
All of these :)
choose two tables that represent a function
Answers
Answer:
I think the answer it b and a
which equation best represents the relationship between x and y in the graph
Answers
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = 3x + 3 ← equation of line → A
Given that sin ø 21/29, what is the value of cos ø, for 0° < ø < 90%
Answers
Answer:
[tex] \frac{20}{29} [/tex]
Step-by-step explanation:
Let x replace theta.
Apply pythagorean trig identity
[tex] \sin {}^{2} (x) + \cos {}^{2} (x) = 1[/tex]
[tex] (\frac{21}{29} ) {}^{2} + \cos {}^{2} (x) = 1[/tex]
[tex] \frac{441}{841} + \cos {}^{2} (x) = 1[/tex]
[tex] \cos {}^{2} (x) = 1 - \frac{441}{841} [/tex]
[tex] \cos {}^{2} (x) = \frac{400}{841} [/tex]
[tex] \cos(x) = \frac{20}{29} [/tex]
Cosine is positve in 1st quadrant so the answer is
[tex] \frac{20}{29} [/tex]
Kayla was cutting right triangles from wood to use for an art project. Two of the right triangles she cut are shown below
Answers
Answer:
The answer is "[tex]28^{\circ}[/tex]"
Step-by-step explanation:
Please find the complete question in the file.
The angle F measure is identical to the angle C measure.
The adjacent BC and the hypotenuse AC have been developed. That would be used cosine.
[tex]\cos C = \frac{15}{17}\\\\C =\ cos^{-1}\frac{15}{17} = 28.07\approx 28^{\circ}[/tex]
if you answers this question correctly i'll give you brainliest
Answers
Answer:
D. Both of the dot A and B have the same mean
Whats the answer?This is trigonometry
Answers
Answer:
100
Step-by-step explanation:
Use Euler's formula to find the missing number.
Vertices: 13
Edges: 26
Faces: ?
A.14
B.15
C.16
D.17
Answers
Answer:
15
Step-by-step explanation:
trust me bro
The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?
Answers
Answer:
No, a 25-year-old job applicant cannot be two standard deviations below the mean
Step-by-step explanation:
There are two frequencies 25 and 65
Mean of the two frequencies = 25+65/2 = 45
Standard deviation =
[tex]\frac{65-25}{\sqrt{12} } \\= 11.55[/tex]
Mean - 2 x standard deviation [tex]= 45 - 2 * 11.55 = 21.9[/tex]
[tex]21.9 < 25[/tex]
Thus, a 25-year-old job applicant cannot be two standard deviations below the mean
Tiffany quiz grades on 1st 4 quizzes are 72,87,83,90
Answers
Answer:
90
Step-by-step explanation:
72 is the least and 90 is the greatest
87 is the second most greatest and 83 is the third most.
Therefore the answer is 90
Plz help me well mark brainliest if correct!!....
Answers
Answer:
22 in. or B
Step-by-step explanation:
add all the sides
Answer:
The Answer would be B)22 in.
Step-by-step explanation:
if you add the sides together then multiply by 2 you will get 22 in. I hope this helpped!
In which choice do all three points lie on the
same straight line?
A А.
(0, 1), (-1, 3), (1, 3)
B.
(4, 2), (2, 1), (4, -2)
C (0, 0), (8, 0), (0, 8)
D
(1, 2), (2, 4), (4,8)
Answers
Answer:
D (1, 2), (2, 4), (4,8)
Step-by-step explanation:
Points lying on the same line:
If three points lie on the same line, the change in y has to be always the same when x changes by 1.
А. (0, 1), (-1, 3), (1, 3)
(-1,3) to (0,1): x changes by 1, y by -2
(0,1) to (1,3): x changes by 1, y by 2
So these points are not on the same line.
B. (4, 2), (2, 1), (4, -2)
Two values for y when x = 4, so not on the same straight line.
C (0, 0), (8, 0), (0, 8)
Two values for y when x = 0, so not on the same straight line.
D (1, 2), (2, 4), (4,8)
Here, when x changed by 1(from 1 to 2), y changed by 2.
When x changed by 2(from 2 to 4), y changed by 2*2 = 4.
So these points are on a straight line, and D is the correct answer.
Danny is measuring two pyramids whose bases are squares. Given the height hhh and volume VVV of the first pyramid, Danny uses the formula a=\sqrt{\dfrac{3V}{h}}a= h 3V a, equals, square root of, start fraction, 3, V, divided by, h, end fraction, end square root to compute its base's side length aaa to be 555 meters. The second pyramid has the same volume, but has 444 times the height. What is the side length of its base?
Answers
Answer: THE ONE ABOVE IS WRONG
A= 3V/h
Step-by-step explanation:
Formulas may contain multiple variables, along with known numbers and letters that stand for known constants like \piπpi.
We can highlight a certain variable in the formula by treating the formula as an equation where we want to solve for that variable.
In this case, we need to solve the equation V =\dfrac{1}{3}AhV=
3
1
AhV, equals, start fraction, 1, divided by, 3, end fraction, A, h for AAA.
Hint #22 / 3
\begin{aligned} V&=\dfrac{1}{3}Ah \\\\ \dfrac{3V}{h}&=A \end{aligned}
V
h
3V
=
3
1
Ah
=A
Hint #33 / 3
This is the result of rearranging the formula to highlight the base area:
A=\dfrac{3V}{h}A=
h
3V
It works I did it in Khan
1. Divide
1 point
1. On a standardized examination, Laura received a
score of 85, which was exactly 2 standard
deviations above the mean. If the standard
deviation for the examination is 4, what is the mean
for this examination?
Answers
Answer:
656×756÷765+656+65=
Step-by-step explanation:
it was soo easy now i get what it is talking about no
A container has a 6 litres of juice. If 3⅕ litres are poured from it, How many juice is left in the container?
Answers
Answer:
2.8 liters
Step-by-step explanation:
6 - 3.20 = 2.8
Answer:
2 4/5
Step-by-step explanation:
6-3 1/5 = 2 4/5
It took gigi 1 hour and 20 minutes to complete a bicycle race It took Johnny twice as long because he got a flat tire. How many minutes did it take Johnny to finish the race?
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The between-treatments variance is based on a weighted sum of squared differences between the ____________________________________________________. population variances and the overall mean of the data set population means and the overall mean of the data set sample means and the overall mean of the data set sample variances and the overall mean of the data set
Answers
Answer:
Sample means and the grand mean
Step-by-step explanation:
The total sum of squares present in the sample can be partitioned into two parts.
1) Within sum of squares ( also called error sum of squares)
2) Between sum of squares
The first part is the sum of squares of deviations of the observations from the sample mean and is called the within sum of squares ( also called error sum of squares).
The second part is the weighted sum of the square of deviations of the sample means from the grand mean and is called between sum of squares.
Thus symbolically
Totastal SS = Within SS + Between SS
Consider the equation x2 – 12x + 49 = 22. Which equation has the same solution(s) as the given equation?
Answers
Answer:
The correct solution is "x=3 or x=9".
Step-by-step explanation:
The given equation is:
⇒ [tex]x^2 - 12x + 49 = 22[/tex]
On subtracting "22" from both sides, we get
⇒ [tex]x^2-12x+49-22=22-22[/tex]
⇒ [tex]x^2-12x+27=0[/tex]
On factorizing the above equation, we get
⇒ [tex]x^2-9x-3x-27=0[/tex]
By taking common, we get
⇒ [tex]x(x-9)-3(x-9)=0[/tex]
⇒ [tex](x-3)(x-9)=0[/tex]
⇒ [tex]x-3=0[/tex]
[tex]x=3[/tex]
Or,
⇒ [tex]x-9=0[/tex]
[tex]x=9[/tex]
Someone help me out my math grads are bad
Answers
Answer:
15m^2
Step-by-step explanation:
2m*3m = 6m^2
3m*3m = 9m^2
Answer: 6m^2 + 9m^2 = 15m^2
Feel free to mark as brainliest :D
What's the Area for each shape?
Answers
Answer:
[tex](6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} [/tex]
Please help and thanks whoever helps me!!
Answers
Answer:
2/3 km per minute
Step-by-step explanation:
kilometers
1 1/3 - 2/3 = 2/3km
Minutes
2 - 1 = 1 minute
----------------------------
Spped
(2/3 km) / (1 minute)
2/3 km per minute
at lunch four friends drink 8 pints of milk. How many fluid ounces is this equal to? 1) 128 FL oz 2)64 FL oz 3)32oz 4) 16 FL oz
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at lunch four friends drink 8 pints of milk. how many fluid ounces is this equal to?
128 FL
Answer:
The answer is choice #1 or 128 Fluid ounces
Step-by-step explanation:
8 pints = 128 oz
Please help asap urgent! 20 pts!
Answers
Answer:
the mean of those numbers is 17.1
Answer:
The M.A.D (mean absolute deviation) is 2.3
Bonus (Just in case you need it): The Mean is 17.1
Have a good day!