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Natasha2012 [34]
3 years ago
12

Which proportion can be used to determine the number that is 15% of 30?

Mathematics
1 answer:
Nata [24]3 years ago
7 0
X/30=15/100. Cross multiply to find x.
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A component is assembled in a four-step process. The probability of making a defect in step 1 is 10%; in step 2, 20%; in step 3,
rjkz [21]

Answer:

0.37072

Step-by-step explanation:

Let A be the event that step 1 is defective (P(A) = 10%), B the event that step 2 is defective(P(B) = 20%), C the event that step 3 is defective (P(C) = 8%), D the event that step 4 is defective(P(D) = 5%). Let us suppose that the occurance of a failure at any step is indepent of the other steps.

Recall the following properties

P(A) = 1- P(A^c)

(A\cup B )^c = A^c \cap B^c)

And given A, B, C, D independent , then

P(A\cap B \cap C \cap D) = P(A)P(B)P(C)P(D)

REcall that if the a set of events A,B,C,D are independent, their complements are also indepent.

Since we are asked for the probability of a defective item, this means that at least one of the steps is defective. Then, we are asked for the following probability:

P(A\cup B \cup C \cup D) = 1 - P((A\cup B \cup C \cup D)^c) = 1 - P(A^c \cap B^c \cap C^c \cap D^c ) = 1 - P(A^c)P(B^c) P(C^c) P(D^c) = 1-(1-P(A))(1-P(B))(1-P(C))(1-P(D))

= 1-(0.9)(0.8)(0.92)(0.95) = 0.37072

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3 years ago
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A researcher uses an independent-measures t test to evaluate the mean difference between two treatments and obtains t(12) = 4.00
tatyana61 [14]

Answer:

B). F(1, 12) = 16.00

Step-by-step explanation:

'ANOVA' is a measure employed for 'analysis of a variance' in a given set of data of treatments or populations. While t-test helps in comparing their means.

As per the question, the F-ratio using ANOVA would be 'F(1, 12) = 16.00.' In order to calculate the variances, the distinction among the samples. The б^2 denotes the difference of representative means which is augmented by n(in case of samples being same). So, the ratio of F(1, 12) would be б^2 i.e. 4^2 = 16 since the sample sizes are distinct. Thus, <u>option B</u> is the correct answer.

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3 years ago
2u^3 v^2<br> _______<br> (2u)^3 *u^2
Rus_ich [418]

Answer:

v^2 over 4u^2

Step-by-step explanation:


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3 years ago
HELPPP PLEASE!!!! SHOW ALL WORK!!!
docker41 [41]

Answer:

x=48

Step-by-step explanation:

Since these angles are supplementary, they add up to 180. so, you can set the equation x+23+x+61=81. Simplify the equation and solve for x

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Graph the line that passes through the points (-4, -1) and (-4, 2) and determine the equation of the line.​
My name is Ann [436]

Answer:

X = -4

Step-by-step explanation:

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