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zavuch27 [327]
3 years ago
7

It is known that 10% of the items produced by a certain machine end up having a flaw. If we select 7 items from the production l

ine, a) What is the probability that at least one of them has a flaw? Part b) What is the probability that exactly three of them has a flaw?
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Step-by-step explanation:

p = 0.1, q = 0.9, n = 7

a) Use complementary probability.

P(at least 1) = 1 − P(0)

P(at least 1) = 1 − (0.9)⁷

P(at least 1) = 0.522

b) Use binomial probability.

P = nCr pʳ qⁿ⁻ʳ

P(3) = ₇C₃ (0.1)³ (0.9)⁴

P(3) = 0.023

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Last week, Jason ran 26.1 miles. He wants to run further this week. He plans to run 2.4 miles to the park, four times around the
nordsb [41]

Answer:

Greater than (>)

Step-by-step explanation:

Last week, Jason ran 26.1 miles.

He wants to run further this week.

<u>Distance Run this week</u>

  • 2.4 miles to the park,
  • Four times around the park= 4p (if distance around the park is p miles)
  • 2.4 miles back from the park.

Total Distance this week =2.4+4p+2.4

Since his distance this week is going to be greater than the total distance covered last week (26.1 miles), we then have:

Total Distance covered this week > Total Distance Last week

2.4+4p+2.4>26.1

Jason should use the greater than inequality sign.

4 0
3 years ago
Read 2 more answers
What are all the multiplication problems that make 2
makvit [3.9K]
If we're talking in whole numbers, the only multiplication of whole numbers that equals two is 
2 * 1
or 
-2 * -1
6 0
3 years ago
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Find x. (Finding an angle measure given extended triangles) Please help
Alja [10]
50+79=129
180-129=51
X=51

Explanations
Angles on a straight line add up to 180 degrees. So 180-101=79 degrees
50 degrees is an opposite angle so it moves into the internal angle.
Angles in a triangle add up to 180 so (180-50-79=51)
Ans is 51 I think
8 0
3 years ago
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Answer the statistical measures and create a box and whiskers plot for the following set of data. 3, 4, 6, 7, 8, 9, 10, 10, 12,
notka56 [123]

Min:3

Q1:7.5

Med:10

Q3:13

Max:16

Hope this helps. Have a nice day. Please mark brainliest!

6 0
3 years ago
What is £300 divided into a ratio of 3:7
3241004551 [841]
A) sum 3 + 7 =10
b) divide <span> £</span>300 ÷ 10 = <span> £</span>30
c) multiply:
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     7 x 30 = <span> £</span>210

Values are:  £90 and <span> £210</span>



5 0
3 years ago
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