Answer:
159 hwqb Step-by-step explanation:2n3wq,brudj32nwqrdb3wndj32wsd
Suppose that the space shuttle has three separate computer control systems: the main system and two backup duplicates of it. The first backup would monitor the main system and kick in if the main system failed. Similarly, the second backup would monitor the first. We can assume that a failure of one system is independent of a failure of another system, since the systems are separate. The probability of failure for any one system on any one mission is known to be 0.01.
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be
1
one hundred thousand
(Enter your answer as a whole number.)
_____ backup systems.
Answer:
a) 0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
b) 3 backup systems are needed.
Step-by-step explanation:
For each system, there are only two possible outcomes. Either it works, or is does not. Systems are independent. This means that we use the binomial probability distribution 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.
Three separate computer control systems
This means that [tex]n = 3[/tex]
The probability of failure for any one system on any one mission is known to be 0.01.
So the probability of working is:
[tex]p = 1 - 0.01 = 0.99[/tex]
(a) Find the probability that the shuttle is left with no computer control system on a mission. (Enter your answer to six decimal places.)
This is [tex]P(X = 0)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.99)^{0}.(0.01)^{3} = 0.000001[/tex]
0.000001 = 0.0001% probability that the shuttle is left with no computer control system on a mission.
(b) How many backup systems does the space shuttle need if the probability that the shuttle is left with no computer control system on a mission must be 1 over one hundred thousand
This is n for which:
[tex]P(X = 0) < \frac{1}{100000} = 0.00001[/tex]
With 2 backup systems, the probability is lower than this, so lets see if with only two is possible.
We find [tex]P(X = 0)[/tex] when [tex]n = 2[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.99)^{0}.(0.01)^{2} = 0.0001 > 0.00001[/tex]
So 3 backup systems are needed.
PLS HELP!
0.99 is what percent of 9.90?
Answer:
10%
Step-by-step explanation:
first let's write out the problem
0.99 is what percent of 9.90 = 0.99=9.90*x
We need to what c is so we would do the opposite operation of multiplication, division so we get,
0.99/9.90= .1
now we turn .1 into percent and get out answer
0.1= 10%
Answer:
Step-by-step explanation:
ahh that's like a math tongue twister :P
so just remember that when you are given the final amount, as the 0.99 is, then you want to divide by the total, like this
0.99 / 9.90 =
we don't really need a calculator for this, b/c you can see that the answer will come out to a one, but, where is the decimal, huh
my calculator put the decimal here 0.1
so that's 10% right? which totally makes sense.. right? 0.99 is 10% of 9.90... just move the decimal one place in the 9.9 to get .99 see? so that kinda helps us know where the decimal goes in the answer, if that make sense? The decimal gets moved one place to the LEFT of the one, in our answer when we just did the math in our head.
anyway.. leave a comment if you have more questions :)
please help if you do thanks :) question 2
Answer:
When we have a random function like:
y = f(x)
If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.
For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)
Something similar happens when we have a square root, remember that:
√x
Is a complex number if x < 0.
Then if we have a function like:
y = √x
The domain will be the set of all reals such that x ≥ 0.
Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.
For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.
Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:
m ≤ Y ≤ M
if not, then the range is the set of all real numbers.
Solve the proportion
What is the solution of the inequality shown below X-3>7
Step-by-step explanation:
x-3>7 =>
x>10
hope this helps
3 people can build a shed in 8 hours how long would it take 5 people give your answer in minutes
Answer:
798 minutes
Step-by-step explanation:
Somebody help me with this
40 points ☺️
Find the mean: 17.4 mm, 20.3 mm, 84.1 mm, 31.2 mm, 53.7 mm, 11.7 mm
Here are two similar rectangles.
1 cm
2 cm
4 cm
Work out the area of the larger rectangle.
Answer:
40.32
Step-by-step explanation
4*1.2=4.8
7*1.2=8.4
8.4*4.8
=40.32
Which shapes can the composite figure be divided into to find the area?
O a rectangle and a triangle
O a rectangle and two triangles
O a trapezoid and a rectangle
O a trapezoid and two triangles
What percent of 38 is 23
The percentage of 38 that is 23 is = 60.5%
Percentage of a given quantity:To calculate the percentage of a given quantity, the quantity is taken to be =100%
That is ; 38 = 100%
Therefore, 23 = X
make X the subject of formula,
[tex]x = \frac{23 \times 100}{38} [/tex]
[tex]x = \frac{2300}{35} [/tex]
X = 60.5%
Therefore, 60.5% of 38 is 23.
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5.2 divided by what equals 0.052
Under a periodic inventory system, closing entries will include
debits to Sales, Purchases Returns and Allowances, and Purchases Discounts
credits to the Allowance for Doubtful Accounts
adjustments to the merchandise inventory account to match physical inventory
all of these
Answer:
0.285714285 nearest thousandth
How do you simplify 1 1/3
Answer:
4/3
Step-by-step explanation:
Can the sides of a triangle have lengths 2, 6, and 9
Answer:
no.
Step-by-step explanation:
the sum of the two smallest sides of the triangle must be greater than the largest side in order to form a triangle. 2+6<9
20 points to answer !!
In your own words, describe a situation in your own life that involves quadrilaterals..... (see picture above)
the burger king sign is a rectangle i had burger king last week
Which of the following measures of variability can be used to compare two data sets? Select all that apply.
A.
Mean
B.
Interquartile range
C.
Median
D.
Mean Absolute Deviation (MAD)
E.
Range
Answer:
B. Interquartile range
E. Range
Step-by-step explanation:
When the variability is to be used for comparing the two data sets so the measures that should be considered is range & interquartile range as it shows the difference also it compared the two different data sets
Therefore option B and E is correct
And, the rest of the options are wrong
Find the arc length along a circle of radius 10 subtended by an angle of 215 degrees
Answer:
arc = 25.29
Step-by-step explanation:
first find the circumference:
C = 2r(Pi) = 2(10)(3.14) = 62.8
since subtended, then we're looking for these opposite angle of 215 degrees:
360 - 215 = 145 degrees
62.8/360 = 0.1744 per degree
0.1744 x 145 = 25.29
Solve and graph the inequality.
−x4−6≥−8
Answer:
Inequality Form: − 4 √ 2 ≤ x ≤ 4 √ 2 Interval Notation: [ − 4 √ 2 , 4 √ 2 ]
Answer:
-4x ≥ 14
x ≥ -3.5
Graphed (numberline):
<-----------3.5---0------------->
could be x
PLEASEEEE HELP!!!! (Multiplying/Dividing Fractions Word Problems) An auto shop installed a new automatic system to do paint jobs for cars. The system can paint 6 cars in an hour. How long does it take to paint one car?
Answer:
10 minutes.
Step-by-step explanation:
Note the amount of minutes in an hour.
1 hour = 60 minutes.
The system can paint 6 cars in an hour. Divide 60 minutes with 6 cars:
60/6 = 10
Each car takes 10 minutes to get fully painted.
~
A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is equal to base of the cube. What is the slant height of the square pyramid?
Answer:
Step-by-step explanation:
surface area of cube = 6×8² = 384 cm²
lateral area of pyramid = surface area of pyramid - base area
= 384 - 8²
= 320 cm²
area of triangular face = 320/4 = 80 = ½(base)(slant height) = ½(8)(slant height)
slant height = 20 cm
Graph f(x)=|x+1|+2. Shows vertex and 4 points.
Answer:
[tex](-1,2)[/tex]
Step-by-step explanation:
The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]
The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.
The+2 outside the absolute value vertically shifts the graph 2 units upward.
So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]
What is the answer for this 5c + 9 -2c -7
Step-by-step explanation:
Given
5c + 9 - 2c - 7
= 3c + 2
Hope it will help :)❤
A television originally cost t dollars, including tax. Ricardo purchased the television when it was on sale for 35% off its original cost. Which of the following expressions represents the final cost, in dollars, of the television Ricardo purchased?
A. t - 0.35
B. t + 0.65
C. 0.35t
D. 0.65t
The cost of the television Ricardo purchased is A = 0.65t , where t is the initial cost
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the initial cost of television be = t
Let the percentage of discount on television = 35 %
If the original cost of the television was t dollars, then the sale price would be 65% of the original cost, or 0.65t dollars (since the television is on sale for 35% off).
However, this sale price still includes tax, so we need to subtract the tax from the sale price to get the final cost.
Let's say the tax rate is r (as a decimal), then the final cost would be:
A = 1 - ( 0.35 )t
A = 0.65t
Hence , the expression that represents the final cost of the television that Ricardo purchased is (D) 0.65t
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ill mark brainlistnplss help
Calculator
A worker at a computer factory can assemble 8 computers per hour.
How long would it take this worker to assemble 200 computers?
08h
o 20 h
0 25 h
0 200 h
Answer:
25 Hours
Step-by-step explanation:
200 computers divided by 8 an hour gives you 25 hours to assemble the computers.
200 ÷ 8 = 25
I hope this helps. ^^
can someone please help me. my grade is very low in this class although i have no idea how to do this PLEASE HELP!!
Answer:
download symbolab or download photo math it gets I covered on most of that your grade should go up
Answer: How to solve equations
Step-by-step explanation:
You have to use Pemdas the order of operations to solve these types of equations.
Parenthesis,Exponents,multiplication,Division,Addition,subtraction.
Multiplication and division fit in a group left to right.
Addition and subtraction come last but depends on which comes first left to right.
Here you first have to use the distributive property.
3(y+5)=39 multiply 3 times y that gives you 3y. Then multiply 3 times 5 that gives you 15 . So, now you have simplified the left side of the equal sign so you have 3y+15=39 now subtract 15 from both sides and you get 3y=24 then you divide both sides by 3 to get y=8. What I just went over you do again and again to solve all these types of equations. Your trying to solve for the variable so you try to get y or m or n or any variable by itself.
Function lis defined by the equation r
R=5/8t - 9
Function 2 is defined by the following table,
I
Which function has a greater y-intercept?
Answer:
Both have the same y-intercept (-9)
Step-by-step explanation:
✔️Function 1, r = ⅝t - 9, is given in the slope-intercept form, y = mx + b.
b = y-intercept = -9
y-intercept for Function 1 = -9
✔️Function 2, using the table given, the y-intercept is the value of r when t = 0.
Thus, r = -9 when t = 0.
y-intercept for Function 2 = -9
✔️Both functions has the same y-intercept. None is greater than the other.
In which rainforest three layer would you most expect to spot a harpy eagle
Answer:
canopy layer
Step-by-step explanation:
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.) Advertising Expenditure ($ millions) Number of Companies 25 up to 35 5 35 up to 45 10 45 up to 55 21 55 up to 65 16 65 up to 75 8 Total 60
Mean
Standard deviation
The estimated mean of advertising expenses is $52 million, and the estimated standard deviation is $11.23 million.
To estimate the mean and standard deviation of advertising expenses, we need to calculate the midpoint of each class interval, the product of the midpoint and the frequency, and the squared deviation from the mean.
Here's a table to organize the calculations:
Class Interval (x) Frequency (f) Midpoint (x) fx
25 up to 35 5 30 150
35 up to 45 10 40 400
45 up to 55 21 50 1,050
55 up to 65 16 60 960
65 up to 75 8 70 560
To calculate the mean, we need to find the sum of the products of the midpoint and the frequency, divided by the total frequency.
Mean = (fx) / Total Frequency
Mean = (150 + 400 + 1,050 + 960 + 560) / 60
Mean = 3,120 / 60
Mean = 52
Calculate the squared deviation from the mean for each class interval.
(x - mean)² × f
(30 - 52)² × 5 = 484 × 5 = 2,420
(40 - 52)² × 10 = 144 × 10 = 1,440
(50 - 52)² × 21 = 4 × 21 = 84
(60 - 52)² × 16 = 64 × 16 = 1,024
(70 - 52)² × 8 = 324 × 8 = 2,592
Calculate the sum of the squared deviations.
Sum of (x - mean)× f = 2,420 + 1,440 + 84 + 1,024 + 2,592
= 7,560
Standard Deviation =√(Sum of (x - mean)² × f / Total Frequency)
Standard Deviation = √(7,560 / 60)
Standard Deviation = √(126)
Standard Deviation = 11.23
Hence, the estimated mean of advertising expenses is approximately $52 million, and the estimated standard deviation is approximately $11.23 million.
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Complete question
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.)
Advertising Expenditure ($ millions) Number of Companies
25 up to 35 5
35 up to 45 10
45 up to 55 21
55 up to 65 16
65 up to 75 8
Total 60