Find the constant of proportionality on the graph. Fast please! marking brainiest!
1 answer:
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Answer:
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Step-by-step explanation:
The null and alternate hypothesis are:
H0:p≥0.03
Ha:p<0.03
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.03 is tested at the null hypothesis:
This means that
28 out of 600 items produced by the machine were found defective.
This means that
Value of the test-statistic:
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.0467, which is the p-value of z = 2.4.
Looking at the z-table, z = 2.4 has a p-value of 0.9918.
The p-value of the test is 0.9918 > 0.05, which means that we fail to reject , as we do not have enough evidence to say that defect rate of machine is smaller than 3%.
Answer:
The number of candies in the sixth jar is 42.
Step-by-step explanation:
Assume that there are <em>x</em> number of candies in each of the six jars.
⇒ After Alice moves half of the candies from the first jar to the second jar, the number of candies in the second jar is:
⇒ After Boris moves half of the candies from the second jar to the third jar, the number of candies in the third jar is:
⇒ After Clara moves half of the candies from the third jar to the fourth jar, the number of candies in the fourth jar is:
⇒ After Dara moves half of the candies from the fourth jar to the fifth jar, the number of candies in the fifth jar is:
⇒ After Ed moves half of the candies from the fifth jar to the sixth jar, the number of candies in the sixth jar is:
Now, it is provided that at the end, 30 candies are in the fourth jar.
Compute the value of <em>x</em> as follows:
Compute the number of candies in the sixth jar as follows:
Thus, the number of candies in the sixth jar is 42.
Answer:
54°
Step-by-step explanation:
∠A = 2x + 10, ∠C = 3x - 14
∠E + 266 = 360 (sum of angles around a point)
∠E = 360 - 266
∠E = 94°
AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:
∠B + ∠D = 180° (sum of interior angles on the same side)
∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)
2x + 10 + 3x - 14 + 94 + 180 = 540
5x + 270 = 540
5x = 540 - 270
5x = 270
x = 54°
