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Eddi Din [679]
3 years ago
10

Find the sum of the first 50 terms in this geometric series 1+10/11+100/121

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

10.91

Step-by-step explanation:

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For a family gathering, Brittany made 5 meat loaves using 9 pounds of ground beef. How many pounds in each meat loaf?
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9/5 pounds in each. You are trying to solve for pounds per meatloaf, thus you would have the setup:
pounds / # of meatloafs which is 9/5
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Please refer to the following attachment and find the value of x.
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Answer:

5

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

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180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

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3 0
3 years ago
A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t
elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

5 0
3 years ago
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400 Suppose a particular surveillance system has a 99% chance of correctly identifying a future terrorist and a 99.8% chance of
alexgriva [62]

Answer:

1.236 × 10^(-3)

Step-by-step explanation:

Let A be the event that the person is a future terrorist

Let B the event that the person is identified as a terrorist

We are told that there are 1,000 future terrorists in a population of 400 million. Thus, the Probability that the person is a terrorist is;

P(A) = 1000/400000000

P(A) = 0.0000025

P(A') = 1 - P(A)

P(A') = 1 - 0.0000025

P(A') = 0.9999975

We are told that the system has a 99% chance of correctly identifying a future terrorist. Thus; P(B|A) = 0.99

Thus, P(B'|A) = 1 - P(B|A)

P(B'|A) = 1 - 0.99

P(B'|A) = 0.01

We are told that there is a 99.8% chance of correctly identifying someone who is not a future terrorist. Thus; P(B'|A') = 0.998

Hence: P(B|A') = 1 - P(B'|A')

P(B|A') = 1 - 0.998

P(B|A') = 0.002

We want to find the probability that someone who is identified as a terrorist, is actually a future terrorist. This is represented by: P(A|B)

We can find it from bayes theorem as follows;

P(A|B) = [P(B|A) × P(A)]/[(P(B|A) × P(A)) + (P(B|A') × P(A')]

Plugging in the relevant values;

P(A|B) = [0.99 × 0.0000025]/[(0.99 × 0.0000025) + (0.002 × 0.9999975)]

P(A|B) = 0.00123597357 = 1.236 × 10^(-3)

8 0
3 years ago
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