I will give Brainly ! help please its geometry I will give brainly Thank you for your time.
2 answers:
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Answer:
The distance between the two playing pieces is of 6.4 units.
Step-by-step explanation:
Suppose we have two points:
The distance between these points is:
Distance between:
A(-2,3) and B(3,-1)
The distance between the two playing pieces is of 6.4 units.
Answer:
Probability: 0.7190
There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis
Ha: p1 - p2 ≠ 0
This is a two tailed test
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.
If our test statistic falls in either region, we will reject the null hypothesis.
See the attached photo for the hypothesis and conclusion
The z-value of the test statistic is z = 0.58.
P(z < 0.58) = 0.7190
Let 
denote the event that an HD is defective, and 
the event that a particular HD was produced at facility 
.
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
. Once you have this, part (c) is trivial.
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
.
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)
You are asked to compute
From the definition of conditional probabilities, the first two will require that you first find
I'll demonstrate the computation for part (a). Part (b) is nearly identical.
(a)
Presumably, the facility responsible for producing a given HD is independent of whether the HD is defective or not, so
Use the law of total probability to determine the value of the denominator:
We know each of the component probabilities because they are given explicitly: 0.015, 0.02, 0.01, and 0.03, respectively. So
and thus
(b) Similarly,
(c)