<span>20 quarts of peanut oil worth 19 cents a quart are needed.</span>
<span>The number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner is 2.
</span><span>
<span><span>
Spinner 1
Spinner 2
</span>
<span>
1 1
</span>
<span>
1 2
</span>
<span>
1 3
</span>
<span>
1 4
</span>
<span>
2 1
</span>
<span>
2 2
</span>
<span>
2 3
</span>
<span>
2 4 = NOT 1, AND 4
</span>
<span>
3 1
</span>
<span>
3 2
</span>
<span>
3 3
</span>
<span>
3 4 = NOT 1, AND 4
Only 2 outcomes have passed the given condition.</span></span></span>
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
PART I
Angular size of the minor arc .
Half of the chord an the radius makes a right angled triangle with the radius as the hypotenuse and half of the chord as one of the shorter side.
Therefore, using trigonometric ratio, sine = opp/hyp
sine θ = 8/10 where θ is half the minor angle
θ = 53.13
Therefore, the angular size of the minor arc will be 53.13 × 2 = 106.26°
PART II
The length of an arc is given by (θ/360 )× 2πr
where θ is the angle subtended by the arc to the center of the circle and r is the radius of the circle.
Therefore, length = (106.26/360) × 3.142 × 2×10
= 18.548 Inches
