Answer:
The measure of the unknown angle is 15°.
Step-by-step explanation:
Represent this angle by A. Then the complement of A is 90° - A.
"Angle whose complement is five times its measure" would be expressed as
90° - A = 5A
Solve this for A by adding A to both sides:
90° = 6A. Then A = 90°/6, or 15°
<h2>
Answer with explanation:</h2>
As per given , we have
Since , alternative hypothesis is right tailed, so the test is a right tailed test.
n= 1987
Proportion of adults believe that rudeness is a worsening problem : 
Test statistic : 
(since , the normal curve takes values of z from -7 to 7, so we use critical value to draw conclusion.)
The critical value for a significance level of 0.005= 1.645
Since , absolute test statistic value (12.09) is greater than the critical value (1.645), it means there is statistical significance and so we reject the null hypothesis.
Answer:
the diameter is 6 units
Step-by-step explanation:
3×2=6
The probability that either the girls' or boys' team gets a game is 0.85
Step-by-step explanation:
Step 1:
Let P(G) represent the probability of girls team getting a game and P(B) represent the probability of the boys team getting a game.
P(B ∪ G) represents the probability of either girls and boys team getting a game.
P(B ∩ G) represents the probability of both girls and boys team getting a game.
Step 2:
It is given that P(G) = 0.8, P(B) = 0.7 and P(B ∩ G) = 0.65
We need to find the probability of either girls or boys team getting a game which is represented by P(B ∪ G)
Step 3:
P(B ∪ G) = P(B) + P(G) - P(B ∩ G)
= 0.8 + 0.7 - 0.65 = 0.85
Step 4:
Answer:
The probability that either the girls' or boys' team gets a game is 0.85
