Answer:
0.9995 = 99.95% probability that a rivet is defective
Step-by-step explanation:
For each rivet, there is only two possible outcomes. Either they are defective, or they are not. Rivets are defective independently of one another, each with the same probability, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An aircraft seam requires 29 rivets.
This means that [tex]n = 29[/tex]
23% of all seams need reworking
This means that [tex]p = 0.23[/tex]
What is the probability that a rivet is defective?
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{29,0}.(0.23)^{0}.(0.77)^{29} = 0.0005[/tex]
Then
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0005 = 0.9995[/tex]
0.9995 = 99.95% probability that a rivet is defective
3. Solve the system for x and y. 7x+8y= 26 -12X-7y=-58
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Answer:
(x, y) = (6, -2)
Step-by-step explanation:
My favorite fast and easy way to solve pairs of linear equations is to use a graphing calculator. The one below shows the solution to be ...
(x, y) = (6, -2)
__
There is no simple way to use substitution or elimination on these equations, so we elect to use the "cross multiplication method." First, we write the equations in "general form", then write the coefficients in two rows, repeating the first coefficient.
7x +8y -26 = 0
12x +7y -58 = 0
__
[tex]\left[\begin{array}{cccc}7&8&-26&7\\12&7&-58&12\end{array}\right][/tex]
The method gets its name from this next step: compute the difference of cross products of pairs of adjacent columns.
d1 = (7)(7) -(12)(8) = -47
d2 = (8)(-58) -(7)(-26) = -282
d3 = (-26)(12) -(-58)(7) = 94
The solution to the equations is given by ...
1/d1 = x/d2 = y/d3 ⇒
x = d2/d1 = -282/-47 = 6
y = d3/d1 = 94/-47 = -2
The solution is (x, y) = (6, -2).
_____
Additional comment
If you watch videos on this solution method you will notice the 2×4 array of coefficients is formulated slightly differently, and the final equation has the 1/( ) term at the right end of the series of equalities. We judge this variation to be less confusing and easier to remember. YMMV
The work involved in using this method is 6 multiplies, 3 adds, and 2 divides. We believe that is less work than either substitution or elimination when there is no simplification possible.
Josie recorded the average monthly temperatures for two cities in the state where she lives. For City 1,
what is the mean of the average monthly temperatures? What is the mean absolute deviation of the
average monthly temperatures? Round your answers to the nearest tenth.
Average Monthly Temperatures for City 1 (°F)
45, 37, 64, 50, 44, 49, 73, 76, 27, 23, 49, 45
Average Monthly Temperatures for City 2 (°F)
30, 22, 49, 35, 29, 34,58,61, 12, 8, 34, 30
The mean average monthly temperature in City 1 is
OF.
The mean absolute deviation for the average monthly temperature in City 1 is
OF.
Answer:
The mean average monthly temperature in City 1 is 48.75°F.
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
Step-by-step explanation:
For this case we have the following dataset given:
Average Monthly Temperatures for City 1 (° F)
30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37
Average Monthly Temperatures for City 2 (° F)
15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22
For this case the sample mean can be calculated with the following formula:
[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]
And replacing we got:
[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]
The mean average monthly temperature in City 1 is 48.75°F.
And now we can calculate the following values:
[tex]$|38-48.75|=10.75$[/tex]
[tex]$|66-48.75|=17.25$[/tex]
[tex]$|78-48.75|=29.25$[/tex]
[tex]$|47-48.75|=1.75$[/tex]
[tex]$|75-48.75|=26.25$[/tex]
[tex]$|35-48.75|=13.75$[/tex]
[tex]$|45-48.75|=3.75$[/tex]
[tex]$|56-48.75|=7.25$[/tex]
[tex]$|29-48.75|=19.75$[/tex]
[tex]$|49-48.75|=0.25$[/tex]
[tex]$|37-48.75|=11.75$[/tex]
And the mean absolute deviation is given by:
[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]
The mean absolute deviation for the average monthly temperature in City 1 is 13.375°F
4 part question help me pls 100 points
In the diagram, if x =17, what is M In the diagram
if x =35, what is the measure of Arc FE?
If x = 35 what is the measure of Arc EGI?
If the measure of Arc GH = 38, what is the measure of Arc EI?
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Answer:
there is no M in the diagram145°325°104°Step-by-step explanation:
EG and IF are assumed to be diameters of the circle. The measures of the two arcs created by a diameter are 180°.
1. There is no M
__
2. arc EF = arc EG -arc FG = 180° -35°
arc EF = 145°
__
3. Angle EDI is a vertical angle to angle FDG, so has the same measure: 35°. Long arc EGI will be 360° minus the measure arc EI
arc EGI = 360° -arc EI = 360° -35°
arc EGI = 325°
__
4. Arc Gi is double the measure of arc GH, so is 38°×2 = 76°. Arc EI is the supplement to this:
arc EI = 180° -arc GI = 180° -76°
arc EI = 104°
if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?
Answer:
50
Step-by-step explanation:
p=2(l+w)
2(10+15)
50
What can you say about
Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!
Answer:10 to the power of 8
Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.
Which graph represents function f?
f(x) = (1/3)^x
Answer:
The second group represents function f.
Step-by-step explanation:
Hope it helps...
Have a great day
A function assigns the value of each element of one set to the other specific element of another set. The correct graph is B.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.
The graph that represents the function can be chosen by substituting the values and checking the function.
If the value of x is kept as 0, then the function will be 1. Therefore, the graph will intersect the y-axis of the graph at 1.If the value of x is kept as 1, then the function will be 1/3. Therefore, the value of y is 0.33.Hence, the correct graph is B.
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Find x and y and thank you
Answer:
x = 8.66
y = 5
Find the mean absolute deviation of the setback of data. 9, 12, 3, 5, 8
Answer:
3.5
Step-by-step explanation:
3.8 cm 1.1 cm 2.2 cm Estimate the surface area of the rectangular prism. A) 28 cm B) 32 cm2 64 cm 81 cm
Answer:
28 i guess
Step-by-step explanation:
surface area of rectangular prism is
2*(w*l+h*l+h*w)
h is height
l is length
w is width
so if you substitute each with the numbers you will get 29.92
What is the volume of this rectangular prism?
1/2cm 4 cm 3/2cm
Answer:
21cm3
Step-by-step explanation:
Is ther function linear or quadratic?
f(x)=x2-3x+2
A. linear
B. quadratic
Answer:
it is quadratic because quadratic describes something that pertains to squares and this equations has the term 'x2'
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
did the math
4) There are 4,200 beads in a box. There are 6 bags of beads in each box. If each bag has the same number of beads, how many beads are in each bag? * O 700 O 600 O 820 O 580
Answer:
700 beads are in each bag.
Step-by-step explanation:
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Your answer would be:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
because
when do we say two points are said to be collinear
Answer:
never heard of that word lol
Step-by-step explanation:
The side adjacent to ∠W is …
Question 1 options:
side 34
side WU
side 90
side VW
The side adjacent to ∠W is side WU.
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Answer:
(b) side WU
Step-by-step explanation:
With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".
The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.
(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)
Two interior angles of triangle FGH measure 25° and 50°. What is the measure of ∠HFG?
Answer: 105
Step-by-step explanation:
This is an interesting question. I would rewrite it as
In triangle FGH, angle FGH=25° and angle FHG=50. What is the measure of ∠HFG?
In the original question, the answer could technically be 25 or 50 is angle HFG.
Assuming that HFG is not equal to 25 or 50, the answer is 180-25-50, or 105. (the sum of the inner angles of a triangle is 180)
The hypotenuse of a right triangle is three times the length of one of its legs. The length of the other leg is four feet. Find the lengths of the three sides of the triangle. For non-integer answer(s), round your answer(s) to the nearest tenth.
Hello!
It is given information that this triangle is a right triangle, meaning that the Pythagorean Theorem can apply here.
[tex]a^2+b^2=c^2[/tex]
We can set the length of a leg as an unknown variable [tex]x[/tex].
[tex]x^2+4^2=(3x)^2[/tex]
Remember that it is the whole [tex]3x[/tex] term being squared, meaning that it'll simplify to [tex]9x^2[/tex], not [tex]3x^2[/tex].
[tex]x^2+16=9x^2[/tex]
[tex]8x^2=16[/tex]
[tex]x^2=2[/tex]
[tex]x=\sqrt{2}[/tex]
This means we can plug back in to find the sides.
The hypotenuse would be [tex]3\sqrt{2}[/tex], or 4.2.
And the legs would be 1.4 and 4, respectively.
Hope this helps!
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing cars for six hours?
A. $12.00
B. $18.00
C. $216.00
D. $228.00
4. A company paid $45 for 2 cases of printer paper. Next month the company's office manager will need to order 15 cases of the same paper. If the price per case does not change, what will be the total cost of next month's order?
A. $22.50
B. $45
C. $337.50
D. $675
5. Ben's family is driving on a cross-country trip for their family vacation. The total mileage of the trip is 3,100 miles. After the first 3 days, they have driven a total of 1085 miles. What percent of the driving distance remains after the first 3 days?
A. 85%
B. 65%
C. 35%
D. 31%
Giving Brainly plzzz EXPLIAN
What is the surface area of the cylinder shown below? Use 3.14 for π.
A. 502.4 cm2
B. 602.88 cm2
C. 785 cm2
D. 602.4 cm2
it is C
Step-by-step explanation:
i did the test
Answer:
The answer is actually B.
Step-by-step explanation:
I have an actual explanation to this! But I don't like dealing with pdfs, also typing it out will be a lot. Ik I am late, but to whomever else needs help that's the answer! Glad to help:)
X-11=28 Show work I. Need helpp
Answer:
39-11=28 so that means X=39
Step-by-step explanation:
all you have to do is add 28+11 which would give you 39 and 39-11+28 and thats your answer
Answer:
x = 39
Step-by-step explanation:
step 1.
Add 11 to both sides
x - 11 = 28
x - 11 + 11 = 28 + 11
step 2. Add the numbers
− 1 1 + 1 1 = 2 8 + 1 1 x{\color{#c92786}{-11}}+{\color{#c92786}{11}}=28+11 x−11+11=28+11 = 2 8 + 1 1 And you'll get 39!
Please I need help fast can’t figure this out
mations to Determine Similarity
What steps would you take to determine if these
figures are similar? Check all that apply.
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by
O Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
The steps which you would take to determine if these figures are similar include the following:
2. Multiply the vertices of polygon ABCD by 1/2.
5. Reflect the intermediate image.
What is a dilation?In Mathematics and Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
Therefore, the dimension or side lengths of the dilated geometric object would be stretched or compressed (shrunk) depending on the scale factor that is applied.
By critically observing the graph representing polygon ABCD, we can logically deduce that a sequence of transformations that would polygon ABCD (pre-image) onto polygon A"B"C"D" (image) is a dilation by a scale factor of 1/2 and a reflection of intermediate image.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
13 (96) - 14 - (-24)
Answer:
1210
Step-by-step explanation:
13(96)-14+24
l248-38
=1210
Sean arrives at quater to 7 dinner starts at 6:30 is sean early or late for dinner
Answer:
Sean is late for dinner.
Step-by-step explanation:
A quarter to 7 is 6:45 so he is 15 minutes late to the dinner.
If Sean arrives at quarter to 7 (which means 6:45), he is 15 minutes late for dinner, as dinner started at 6:30.
What is time estimation?When we say that Sean arrived at quarter to 7, it means that he arrived at 6:45, because a quarter of an hour is equivalent to 15 minutes. We can then compare this time to the time that dinner started, which is 6:30.
If Sean arrived at or before 6:30, he would be considered early for dinner. However, since he arrived at 6:45, he is 15 minutes late for dinner. This means that dinner has already started and he has missed the beginning of the meal.
In general, it is considered polite and respectful to arrive on time for a dinner invitation or any other social event. If you are going to be late, it's always a good idea to let your host know so they can adjust their plans accordingly.
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One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.
This question is incomplete, the complete question is;
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.
Assume that the standard deviation for "time spent watching television on a weekday" is 1.93 hours.
Answer:
the likelihood of obtaining a sample mean of 1.98 hours or less is 0.0985
Step-by-step explanation:
Given the data in the question;
x" = 1.98
μ = 2.35
s = 1.93
n = 45
so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )
we substitute in our values,
p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )
= p( -0.37 / 0.2877
= P( - 1.29 )
from standard normal table,
P( - 1.29 ) = 0.0985
Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is 0.0985
Homework 2: Special Right Triangles Questions 16-24
I’ll give brainliest!
multiply the polynomial
(x-1)(2x^2-5x+1) 
Answer:
2x^3 - 7x^2 + 6x - 1
Step-by-step explanation:
Thank me later lol.
What is the area of a rectangle with the length 14 1/2 inches and a width of 5 2/3 inches
Answer:
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)
Step-by-step explanation:
A = l*w
A = (14 1/2)(5 2/3)
A = (29/2)(17/3)
A = 82 1/6 in^2 (frac. form)
or
A = 82.17 in^2 (dec. form)