Answer:
The correct answer is option B. 65
Step-by-step explanation:
<u>To find the measure of <VYX</u>
Central angle of arc VW = 44°
Therefore m<VXY = 44/2 = 22°
And central angle of arc XZ = 86° therefore <XVY = 86/2 = 43
<u>To find the mesure of <XYZ</u>
m<XYZ = m<VXY + m<XVY
= 22 + 43
= 65°
Therefore the correct answer is option B. 65°
Answer:
Parameter = 0.5
Null hypothesis : H0 : P0 = 0.5
Alternative hypothesis ; H0 : P0 > 0.5
Pvalue = 0.99966
Step-by-step explanation:
The parameter defines a statistical value or calculation which is derived from the population.
The parameter in this scenario is the population proportion, P0 which is 0.5
The scenario above describes a scenario to test the difference in population.
The null hypothesis, that bride and groom are of the same age ;
H0 : P0 = 0.5
The alternative hypothesis ; the bride is younger Than the groom in more than half of the population.
H1 : p0 > 0.5
To obtain the Pvalue :
Test statistic : (phat - P0) ÷ √(p0(1 -p0) / n)
Phat = x/n
x = 67 ; sample size, n = 100
Phat = x / n = 67/100 = 0.67
P0 = 1 - 0.5 = 0.5
Tstatistic = (0.67-0.50) ÷ √(0.5(0.5) / 100)
Tstatiatic = 0.17 ÷ 0.05
Tstatistic = 3.4
P-value : p(Z < 3.4) = 0.99966 (Z probability calculator).
Answer: 0.81859
Step-by-step explanation:
Using the formula ;
Z = 
where u = mean
Therefore the probability that a student will finish the test between 40 and 70 will be :
P ( 40≤X≤70 ) = P(X≤70) - P(X≤40)
P ( 60-40/10) , P( 60 - 70 / 10)
= 2 , -1
= P (Z ≤ 2) - P( Z ≤ -1 )
From normal table , we have
0.97725 - 0.15866
Therefore the probability that a student will finish the test between 40 and 70 minutes = 0.81859
The answer is going to be A.
Answer:
R = 17
Step-by-step explanation:
R = 2q - 5
Q = 3p + 2
Find the numerical value of R when p = 3
R = 2q - 5
R = 2(3p + 2) - 5
R = 6p + 4 - 5
R = 6p - 1
When p = 3
R = 6(3) - 1
R = 18 - 1
R = 17
