Answer:
See below.
Step-by-step explanation:
He could have started with the next prime number after 2 - that is 3.
This just changes the order of the numbers in the diagram. The number of primes will not change, just the order.
Answer:
both measured would be 25 and 19
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
Convert 2.5 to minutes = 150 minutes. Then divide 4200/150 which gives you 28 per minute
Applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
<h3>What is the Angles Intersecting Secants Theorem?</h3>
When two secants intersect and form an angle outside the circle, the measure of the angle formed is half the positive difference of the measures of the intercepted arcs.
Given the following:
m∠MEJ = 1/2(MJ - KL)
30 = 1/2(MJ - KL)
60 = MJ - KL
KL = MJ - 60
m∠MFJ = 1/2(MJ + KL)
50 = 1/2(MJ + MJ - 60)
100 = 2MJ - 60
2MJ = 100 + 60
2MJ = 160
MJ = 160/2
MJ = 80°
KL = MJ - 60 = 80 - 60
KL = 20°
Thus, applying the angles of intersecting secants theorem, the measures of the arcs are:
m(KL) = 20°; m(MJ) = 80°.
Learn more about angles of intersecting secants theorem on:
brainly.com/question/1626547
Answer:
Step-by-step explanation:
a) From the information given, we can state the hypothesis as follows:
For null hypothesis,
p = 0.9
Or
p ≤ 0.9
For alternative hypothesis,
p > 0.9
Because of the greater than inequality symbol in the alternative hypothesis, it means that it is a right tailed test.
b) Since z = 2.31, we would determine the p value by looking at the probability corresponding to the area above the z score from the normal distribution table. Thus
P value = 1 - 0.9896 = 0.0104
Using a significance level of alpha equals 0.10, since alpha, 0.10 is > p value, 0.0104, then we would reject the null hypothesis.