Two workers produced 86 parts and the first one produced 8 more parts than the second one. How many parts did each worker produc
2 answers:
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Answer:
Option (1), (3) and (6) is correct.
m∠K = 84° , k ≈ 3.7 units and KL ≈ 3.2 units.
Step-by-step explanation:
Given : ∠J = 58° , ∠L = 38° and length of side JK = 2.3 units.
We need to check all the options and choose that follows.
First we find the measure of ∠K
Using angle sum property , Sum of angles of a triangle is 180°
⇒ ∠J + ∠k + ∠L = 180°
⇒ 58° + ∠k + 38° = 180°
⇒ ∠k + 96° = 180°
⇒ ∠k = 180° - 96°
⇒ ∠k = 84°
Also using sine rule on ΔJKL , we get,
Substitute the values, we get,
Consider the last two ratios, we have,
On solving we get,
Also, now consider the first and last ratio, we get,
Thus, k ≈ 3.7 units and KL ≈ 3.2 units.
Option (1), (3) and (6) is correct.
Answer:
Claim is true that most medical malpractice lawsuits are dropped or dismissed.
Step-by-step explanation:
Given :In a study of 799 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed.
To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.
Solution:
n = 799
x = 499
We will use one sample proportion test
We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.
Probability of dropped or dismissed is 1/2
Formula of test statistic =
=
= 7.038
p value (z>7.038) is 0
α =0.05
So, p value < α
So, we reject the null hypothesis
So,claim is true
Hence most medical malpractice lawsuits are dropped or dismissed.