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sineoko [7]
3 years ago
6

Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the length of RS and QR.

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

Check pdf

Step-by-step explanation:

Download pdf
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12.89503 ronded to the hundreths is​
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Answer:

12.90

Step-by-step explanation:

The hundredth is the second decimal place.

Basically we want to drop the numbers after the 9.

12.89  <u>5</u>03

Use the underlined decimal place, right after what you are rounding to, to determine if you round up or down.

For numbers 0-4, round down (keep the number). For numbers 5-9, round up (increase by 1).

We need to round up because 5 is in the range 5-9.

"Add" 1 to the hundredth decimal place and treat it like addition:

.   12.89

<u>+    0.01</u>

.    12.90

7 0
3 years ago
Write 75 degrees in full form
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75 degrees in full form is 108/5 degrees
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Solve for b in the literal equation y = 11x + 11b
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Answer:

<h2>b = y/11  -x </h2>

Step-by-step explanation:

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Figure 1 is transformed to Figure 3, as shown in the diagram. Describe the transformation. A) dilation, then reflection B) refle
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A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 19 randomly selected pens yield
Romashka [77]

Given Information:  

Probability of shipment accepted = p = 5%

Probability of shipment not accepted = q = 95%

Total number of pens = n = 19

Required Information:  

Probability of shipment being accepted with no more than 2 defective pens = P( x ≤ 2) = ?  

Answer:

P( x ≤ 2) = 0.933

Step-by-step explanation:

The given problem can be solved using Bernoulli distribution  which is given by

P(n, x) = nCx pˣqⁿ⁻ˣ  

The probability of no more than 2 defective pens means

P( x ≤ 2) = Probability of 0 defective pen + Probability of 1 defective pen + Probability of 2 defective pens

P( x ≤ 2) = P(0) + P(1) + P(2)

For P(0) we have p = 0.05, q = 0.95, n = 19 and x = 0

P(0) = 19C0(0.05)⁰(0.95)¹⁹

P(0) = (1)(1)(0.377)

P(0) = 0.377

For P(1) we have p = 0.05, q = 0.95, n = 19 and x = 1

P(1) = 19C1(0.05)¹(0.95)¹⁸

P(1) = (19)(0.05)(0.397)

P(1) = 0.377

For P(2) we have p = 0.05, q = 0.95, n = 19 and x = 2

P(2) = 19C2(0.05)²(0.95)¹⁷

P(2) = (171)(0.0025)(0.418)

P(2) = 0.179

Therefore, the required probability is

P( x ≤ 2) = P(0) + P(1) + P(2)

P( x ≤ 2) = 0.377 + 0.377 + 0.179

P( x ≤ 2) = 0.933

P( x ≤ 2) = 93.3%

Therefore, the probability that this shipment is accepted with no more than 2 defective pens is 0.933.

8 0
3 years ago
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