Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answers
Answer:
y = -2x + -17
Step-by-step explanation:
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Dylan and Julia are each making lemonade for a competition at the Sun City Citrus Festival. Both of their recipes call for the same amount of lemon juice, but Julia's recipe calls for more water than Dylan's recipe. Whose lemonade will have a stronger lemon flavor?
What’s the square root of 9/100
To test the effectiveness of a business school preparation course, 8 students took a general business test before and after the course. If we are testing at the 5% significance level to see whether the business school preparation course is effective in improving exam scores, our critical value is 1.895. We should reject the null if the test statistic is
What is the value of -(3/4) to the power of -4
(b) On the average, how many motherboards should be inspected until a motherboard that passes inspection is found?
Answers
a. The probability that at least 13 of the next 15 motherboards pass inspection is 0.604.
b. On average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.
a.
The formula for the probability of getting exactly k successes in n trials with a success probability of p is:
Where "n choose k" represents the binomial coefficient, which is calculated as n! / (k! * (n - k)!), where "!" denotes factorial.
In this case:
n = 15 (number of trials)
k = 13, 14, 15 (number of successes)
p = 0.85 (probability of success)
First, let's calculate the probability that exactly 13, 14, and 15 motherboards pass inspection.
For k = 13:
= 0.28564
For k = 14:
= 0.23123
For k = 15:
= 0.08735
Now, sum these probabilities to get the final answer:
P(at least 13) = P(X = 13) + P(X = 14) + P(X = 15)
= 0.28564 + 0.23123 + 0.08735
= 0.60422
= 0.604
(b)
The average number of trials needed until a motherboard that passes inspection is found can be calculated using the concept of the expected value of a geometric distribution:
Expected value (E) = 1 / p
Where p is the probability of success.
In this case, p = 0.85.
E = 1 / 0.85
= 1.1765
Thus, on average, 1.1765 motherboards should be inspected until a motherboard that passes inspection is found.
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Final answer:
To find the probability that at least 13 of the next 15 motherboards pass the inspection, use the binomial formula for each scenario (13, 14, and 15 passing) and sum the results. To find on average how many motherboards need to be inspected for one to pass inspection, just take the reciprocal of the probability of success (1/0.85).
Explanation:
This question falls under the domain of probability and statistics. Let's tackle each part separately:
(a) When we talk about at least 13 out of 15 motherboards passing, we have to consider the situations where exactly 13, 14, or all 15 pass. For each case, you would use the binomial formula P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)). In this formula, n is the number of trials (which is 15), k is the number of successes we are interested in, p is the probability of a success (which is 0.85), C(n, k) is a combination that represents the different ways k successes can happen in n trials. Calculate this for k = 13, 14, and 15 and sum the results to get the probability for at least 13 to pass.
(b) To find on average how many motherboards should be inspected until one passes is straightforward - it is simply the reciprocal of the probability of success which is 1/0.85.
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О-11
O-7
O-19
Answers
Answer:
0, -11
Step-by-step explanation:
y-4=-3(x-(-5))
y-4=-3x-15
y=-3x-15+4
y=-3x-11 the ordered to the origin is -11
the y-intercept is at the point (0, -11)
Hope this helps
Answers
It will take Jade's parents roughly 2.5 years
For this problem you would take the amount owed and divide it by monthly payments:
= 32 Months
If you want to back track your work to ensure it is the right answers just multiply 89*32
=2848
I hope this helped!
Answers
Answer:
460 m
Step-by-step explanation:
Use right triangle PSR with right angle S to find the length of PS.
The Pythagorean theorem can be used for this.
a^2 + b^2 = c^2
(PS)^2 + (SR)^2 = (PR)^2
(PS)^2 + (150 m)^2 = (170 m)^2
(PS)^2 = 22500 m^2 = 28900 m^2
(PS)^2 = 6400 m^2
PS = 80 m
PS = 80 m; SR = 150 m
perimeter = 2(length + width)
perimeter = 2(150 m + 80 m)
perimeter = 2(230 m)
perimeter = 460 m
Answers
Answer: 1.) 2n 2.) z+6 3.) 20 years old
Step-by-step explanation:
Answer:
answer one: 2n
answer two: z + 6
answer three: 20 years old
Step-by-step explanation:
edge 2020
a. Complete the congruence statement: △MNK ≅ △_______
b. What side is congruent to ≅ ______
c. Solve for x. _____
Answers
The given statements to be completed are completed as follows;
A) △MNK ≅ △RTP
B) TR ≅ NM
C) x = 7
We are given that;
△NMK ≅ △TRP
This means that Triangle NMK is congruent to Triangle TRP.
A) The naming of △NMK is now △MNK. Thus, we have to now re-name Triangle TRP to match the naming of △MNK. Thus;
△MNK ≅ △RTP
B) From the 2 given triangles, we can see that TR and NM are the same length and also perpendicular lines.
Thus they are congruent to each other and as such;
TR ≅ NM
C) Since TR and NM are congruent to each other. Then;
TR = NM
Thus;
3x - 1 = 20
3x = 20 + 1
3x = 21
x = 21/3
x = 7
Read more at; brainly.com/question/13547762
Answer:
A-△MNK ≅ △RTP
B- TR≅NM
C- X=7
Step-by-step explanation:
I did the assignment loves.