Answer:
0.2287
Step-by-step explanation:
The computation of the probability that the automated manufacturing system runs for more than 18 hours without a failure is shown below:
P(X > 17) = 1 - P(X < 17)
= 1 - [1 - e^-18 ÷ 12.2]]
= 1 - [1 -0.228684984 ]
= 0.2287
please show your work:
A crew of highway workers paved 3/15 miles in 15 minutes. If they work at the same rate, what portion of a mile will they pave in one hour?
a. 3/225
b. 4/5
c. 3/5
d. 1/20
Answer:
b . 4/5
60 :15 minute : 4
3 /15 x 4 = 12/15 = 4/5
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons. If 9 vessels are randomly targeted and destroyed, what is the probability that no more than 1 vessel transporting nuclear weapons was destroyed
Answer:
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
Vessels are chosen without replacement, which means that we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[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]
Naval intelligence reports that 5 enemy vessels in a fleet of 18 are carrying nuclear weapons.
This means, respectively, that [tex]k = 5, N = 18[/tex].
9 vessels are randomly targeted and destroyed
This means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,5) = \frac{C_{5,0}*C_{13,9}}{C_{18,9}} = 0.0147[/tex]
[tex]P(X = 1) = h(1,18,9,5) = \frac{C_{5,1}*C_{13,8}}{C_{18,9}} = 0.1324[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0147 + 0.1324 = 0.1471[/tex]
0.1471 = 14.71% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Line I is parallel to line m. If the
measure of Z6 is 75°, what is the
measure of 24?
1/2
473
B
5/6 = 75
7/8
Enter
Answer:
75
Step-by-step explanation:
alternate interior angles are always equal, so that means 6 = 4 = 75.
Burger Queen a popular fast food restaurant among college students has undertaken a study to determine the weights of the hamburgers served in its new location in San Marcos, TX. Half pounders should weigh at least 8 ounces. The weight is assumed to be normally distributed. A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
Answer:
1. 0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces
2. 0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
A sample of 500 hamburgers reveals the average precooked weight to be 8.02 ounces, with a standard deviation of .4 ounce.
This means that [tex]\mu = 8.02, \sigma = 0.4[/tex]
1. What is the probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces?
This is the pvalue of Z when X = 8.02 subtracted by the pvalue of Z when X = 7.76. So
X = 8.02
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8.02 - 8.02}{0.4}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 7.76
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.76 - 8.02}{0.4}[/tex]
[tex]Z = -0.65[/tex]
[tex]Z = -0.65[/tex] has a pvalue of 0.2578
0.5 - 0.2578 = 0.2422
0.2422 = 24.22% probability that a hamburger selected at random will weigh between 7.76 and 8.02 ounces.
2. What is the probability that a hamburger selected at random with less than 7.52 ounces?
This is the pvalue of Z when X = 7.52. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{7.52 - 8.02}{0.4}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
0.1056 = 10.56% probability that a hamburger selected at random with less than 7.52 ounces.
Wendy can solve a brain teaser in 15 minutes. When she works with Arby, they can solve in 5 minutes. Which statement is true
Answer:
Wheres the statements?
Step-by-step explanation:
PLEASE HELP. I NEED ALL!!!!
y=6x if x = 1
y=6x if x = 2
y=6x if x = 3
y=6x if x = 4
y=.5x if x = 1
y=.5x if x = 2
y=.5x if x = 3
y=.5x if x = 4
y=-0.2x if x = 0
y=-0.2x if x = 1
y=-0.2x if x = 2
y=-0.2x if x = 3
Given that the measure of ∠x is 90°, and the measure of ∠y is 64°, find the measure of ∠z.
Answer:
26°Step-by-step explanation:
Assuming that your figure is a triangle, we should keep in mind that all the interior angles of a triangle add up to 180°, always.
So, we have the values of angles x and y as 90° and 64°.
90 + 64 = 154° ⇒ Add them up.
Now, subtract 154 from 180 to get ∠z.
180 - 154 = 26°
The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?
Answer:
[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]
what is 7/8 - 4/7 as a fraction
Answer:
17/56
7/8 - 4/7 = 17/56
Answer:
17/56
Step-by-step explanation:
Multiply 7 by 7 and get 49
Then Multiply 4 by 8 and get 32
Then we Multiply the Denominators 8×7= 56
that's how u get /56
now u look at the numerators 49/56 32/56
49-32= 17
thats how u Get 17/56
which expression is equivalent to 20c-8d
Step-by-step explanation:
Your question is incomplete please edit it.
Work out the area of a rectangle with base, b = 22mm and perimeter, P = 50mm.
b
The diagram is not drawn to scale.
mm2
Answer: A=22^2
Step-by-step explanation: Hope this helps
*
Question 2
If a calculator is sold for $15.95, then the revenue in dollars, R, generated by this item
is given by the formula R=15.959, where a represents the number of calculators sold.
Use the formula to determine the revenue generated by this item if 40 calculators are
sold.
Answer:
Answer is in the photo so you have so look in this give wribsite
Jenna has a maximum of $38 to spend at the movies. A ticket costs
$8.50 and she has x, dollars to spend on snacks. Which inequality
represents all of the possible values for x?
A. x ≥ 29.50
B. x ≤ 46.50
C. x ≥ 46.50
D. x ≤ 29.50
The system of equations 2y = 14 - 2x and y=-x+ 7 is
graphed. What is the solution to the system of equations?
yt
14
13
12
(0,-7)
11
10
9
(0,0)
8
7
6
2y = 14 - 2x
y = -x + 7
infinitely many
solutions
5
4
3
2.
1
no solution
0
0 1 2 3 4 5 6 7 8 9 10 11 12 x
Answer:
Infinitely many solutionsStep-by-step explanation:
Given system:
2y = 14 - 2x y = -x + 7Divide the first equation by 2 and rearrange:
2y/2 = 14/2 - 2x/2y = 7 - xy = -x + 7We got the same equation with the second one. It means we have two of the same lines overlapping.
This gives us infinitely many solutions.
The price of an item has been reduced by 40%. The original price was $35. What is the price of the item now?
Answer:
$21 is the correct answer
Answer:
Step-by-step explanation:
First we have to find 1 percent of 35, and then we will multiply it by 40. So: 35/100 = 0.35
0.35 (40) = 14
35 - 14 = 21
So, the discounted price is now $21.
Find the area of the semicircle. Round your answer to the nearest hundredth. YEAH IVE BEEN STUCK ON THIS help please I need the steps if possible:(
Answer:
your answer will be 127.17 sq in
Step-by-step explanation:
hope it helps you
have a wonderful day!!!
Answer:
=127.23
Step-by-step explanation:
we can start of by finding the area of a CIRCLE
18/2=9
9=radius
area of circle= pi*r squared
9 squared=81*pi=254.4690
Now we can half the area of the circle to find out the area of the semi circle as a semi circle is just half a circle therefore half the area of a circle
254.469/2=127.2345
127.2345=127.23
=127.23
Hope this helped
In the isosceles trapezoid shown, GJ = 5, HI = 9, and GI = 8.6. Determine the length
of HJ.
Answer
8.6
Step-by-step explanation:
Answer:
8.6
Step-by-step explanation:I took the test
quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
It is not multiple choice
9514 1404 393
Answer:
x = 0
Step-by-step explanation:
The zero is the value of x that makes the linear factor zero:
5x +0 = 0
5x = 0 . . . . . simplify
x = 0/5 = 0 . . . . divide by 5
The associated zero is x = 0.
Is the graph shown at right the graph of -2x + 5y = 20? yes or no? explain your thinking
ILL GIVE YOU BRAINLIST
What’s the answer and how to get it done without me
Answer:uhmmmmm
Step-by-step explanation:
Solve for x (use steps i need to learn this pls)
Answer:
x = 14
Step-by-step explanation:
The figure shows two chords intersecting each other. Based on the Theorem of Intersecting chords, the product the segments of each chord is equal to the product of the other. This means:
24*x = 21*16
24x = 336
Divide both sides by 24
24x/24 = 336/24
x = 14
Which one is not a characteristic of all parallelograms?
Answer:
Consecutive angles are supplementary is not character of parallelograms
Work out the percentage change to 2 decimal places when a price of £200 is increased to £210.99.
Answer:
Let percentage be x%
According to the question
200+x%of 200=£210.99
X%of 200=£210.99-200
X/100×200=10.99
X=10.99/2=5.495% is required percentage.
Step-by-step explanation:
Which of the lists of letters all have rotational symmetry?
C,H, N, X
N.O.S. Z
H.J.N.S
F.H. X. Z
Answer:
N, O, S, Z, which will be B
Step-by-step explanation:
I NEED HELP ASAP
FIND THE VALUE OF X IN THE FOLLOWING FIGURE
Answer:
x= 8
90+40=130
180-130=50
50-2=48
48/6=8
What is the vector sum of 7, 5 and 13, −5? 20, 0 20, 10 6, 0 6, 10
Answer:
{20, 0}.
Step-by-step explanation:
11. Which value makes the following inequality TRUE? 4 – 8x > 2 11
Answer:
If that number is 211, then any value below -26 will work
Factor: 3.x2 + 7x + 2
Answer:
x= -1/3 and -2
I have made it in above picture
Please help!! PLEASE!!!
Answer:
30%
Step-by-step explanation:
subtract the post-discount price from the pre-discount price
64.99 - 45.49 = 19.50
divide the answer by the original price
[tex]\frac{19.50}{64.99}[/tex] = 0.30
multiply the answer by 100
0.30 x 100 = 30%
to check:
take the original number and multiply it by the decimal form of the percentgae:
64.99 x 30% (0.30) = 19.50
take the answer and subtract it from the orginal answer
64.99 - 19.50 = 45.49
The students in your class are going on a field trip. The ratio of teachers to students must be 1 to 7.
Which graph shows the number of teachers needed for 28 students?
Answer:
4 teachers for 28 students
Step-by-step explanation:
28/7 = 4