We are given:
p = probability = 0.12<span>
n = total students = 39 </span>
x = left handers = 5<span>
u = mean = p* n = 4.68
σ = standard dev = √ ( n*p*(1-p)) = √ ( 39 * 0.12 * 0.88 ) =
2.03</span>
Calculating for the z score:
z = (x – u) / σ<span>
z = (5 – 4.68) / 2.03</span>
<span>z
= 0.1576 = 0.16
</span>
Using the standard tables for z, the p value is:
p value = 0.5636 = 56.36%
Hence there is a 56.36% chance.
<span> </span>
Answers:
- Angle A = 76
- Angle B = 37
- Angle C = 67
Triangle ABC is an acute triangle. It's also a scalene triangle.
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Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
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In summary, we have these three interior angles
As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Yea he will meet his goal because he will earn $104 for selling those 26 subscriptioms
Answer:
c = 34/d
d = 1/2
Step-by-step explanation:
Part A
Basic Formula
c = k/d
17 = k/2 Multiply both sides by 2
17*2 = k*2/2 Combine
34 = k
So the equation is c = 34/d
Part B
c = 68
k = 34
d = ?
68 = 34/d Multiply both sides by d
68*d = 34 * d/d Simplify.
68 d = 34 Divide by 68
d = 34/68 Simplify
d = 1/2