Answer:
Test statistic = -2.44
There is enough evidence to support the strategist's claim.
Step-by-step explanation:
H0 : p = 0.41
H1 : p < 0.41
pˆ = 0.38
Test statistic :
z=pˆ−p/√p(1−p)/n
Z = (0.38 - 0.41) / √(0.41(1 - 0.41) / 1600
Z = - 0.03 / √0.0001511875
Z = - 0.03 / 0.0122958
Z = - 2.4399
Test statistic = -2.44
The Pvalue :
P(Z < -2.44) = 0.0073436
α - level = 0.02
If Pvalue < α ; Reject H0
0.0073436 < 0.02 ; We reject H0
Since Pvalue < α ; Hence, There is enough evidence to support the strategist's claim.
<span>Since the sum of all the interior angles in a pentagon is equal to 540 degrees, the measure of the fifth interior angle is 138 degrees.
Calculations:
540 - 402 = 138</span>
The area formula of a circle is 
× π.
With that being said, we can solve both problems!
Starting with part A:
-The radius we know is 21cm. From there, we can substitute in our formula with the new value.
x π
From there, we can square our radius:
(21 x 21) x π
(441) x π
And finally, we can multiply by pi to get our answer.
(441) x π
1385.44236023
Which rounded to the nearest tenth is 1385.4. Therefore, the area of the porthole is 1385.4 centimetres.
The second part can be followed with the same process, hopefully you understand the concept enough to where you're comfortable solving problems like this on your own. Feel free to reach out if you have any further trouble!
<em>Hope this helped! :)</em>
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x2−2x−8=0
Step 2: Factor left side of equation.
(x+2)(x−4)=0
Step 3: Set factors equal to 0.
x+2=0 or x−4=0
x=−2 or x=4
The answer is A) 5 inches.
If TR is the migsegment, then R is the midpoint of BC. If R is the midpoint of BC, then RC is equal to BR.
Hope this helps! :)
