Answer:
option (A)
central angle = 0.375 rad
Step-by-step explanation:
Given in the question,
radius of the circle = 8 inches
arc of the circle = 3 inches
To find,
measure of a central angle
Central angles are subtended by an arc between those two points.
Formula to use:
<h3> s = (r) (θ)</h3>
<em>where r = radius </em>
<em> s = arc length </em>
<em> θ = angle in radians</em>
<em />
Plug in the values in the equation
<h3>3 = (8) (θ)</h3><h3>θ = 3/8 </h3><h3>0.375 rad</h3>
Answer:
csc (- 30)° = - 2
Step-by-step explanation:
Using the trigonometric relationship
csc x =
and the exact value sin30° = 
sin(- 30)° = - sin30° = -
, thus
csc (- 30)° =
= - 2
Answer:
25% probability the odds are for question 26/52 or 1/2 multiply 1/2 by 1/2 for both and you get 1/4
Step-by-step explanation:
Answer:
Pvalue = 0.063008
Step-by-step explanation:
Given :
Sample size, n = 63
The test statistic = - 1.53
To test if average room price is significantly different from $110 ; μ = $110
H0 : μ = 110
H1 : μ < 110
From the test statistic value obtained, we could see that the test is left tailed
The Pvalue :
P(Z < - 1.53) = 0.063008
If the claim is to be tested at 5% level of confidence then
Pvalue > 0.05 ; Hence, we fail to reject the. NULL. Hence, average price is not significantly different from $110