A cup contains 3 blue paper clips,2 red paper clips,and 5 silver paper clips.what is the probability of not drawing a red paper
1 answer:
Short Answer 0.8
Remark
The total number of possible draws is
3 Blue + 2 Red + 5 silver = 10
There are two ways of solving this, both of which will be used later on.
Method 1
If you don't draw a read paper clip, that means you will draw a silver or blue paper clip.
Method Two
The other way is to draw a red one and take that probability away from 1.
P(red) =
1 - 0.2 = 0.8 Same answer.
Remark
The total number of possible draws is
3 Blue + 2 Red + 5 silver = 10
There are two ways of solving this, both of which will be used later on.
Method 1
If you don't draw a read paper clip, that means you will draw a silver or blue paper clip.
Method Two
The other way is to draw a red one and take that probability away from 1.
P(red) =
1 - 0.2 = 0.8 Same answer.
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Answer:
10.2 cm²
Step-by-step explanation:
The area (A) of a regular hexagon is
A = × perimeter × apothem
Perimeter = 6 × 2 = 12 cm ( hexagon has 6 sides ), hence
A = 0.5 × 12 × 1.7 = 6 × 1.7 = 10.2 cm²
Answer:
a) The point estimate of the proportion of items returned for the population of
sales transactions at the Houston store = 12/80 = 0.15
b) The 95% confidence interval for the proportion of returns at the Houston store = [0.0718 < p < 0.2282].
c) Yes.
We set an hypothesis and construct a test statistics. The test statistics result gives us:
Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.
Step-by-step explanation:
a) Point estimate of the proportion = number of returned items/ total items sold = 12/80 = 0.15.
b) By formula of confident interval:
CI(95%) = p ± Z*,
CI(95%) = [0.0718 < p < 0.2282]
c) The hypothesis:
: The proportion of returns at the Houston store is not significantly different from the returns for the nation as a whole.
: The proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.
The test statistics:
Z = , where
is the proportion of nation returns.
Z calculated = 2.2545, and this gives us the p-value = 0.0121. We assumed 95% confident interval. Hence, the level of significance (α) = 5%. Conclusively, since the p-value ==> 0.0121 is less than (α) = 5%, the test is significant. Hence, the proportion of returns at the Houston store is significantly different from the returns for the nation as a whole.