Answer & Step-by-step explanation:
We will only get a tornado if there is already a thunderstorm materializing
0.80 * 0.14 = 0.112
Probability of a tornado = 11.2%
There is a 100 - 14 = 86% chance of a tornado not being produced.
0.80 * 0.86 = 0.688
Probability of a storm and no tornado = 68.8%
Answer:
Step-by-step explanation:
Given
- Deposit = $10000
- Interest rate = 3.2% PA
- Interest type = compound
- Frequency = continuous
- Time = 6 years
Calculation
- Total = 10000*e^(rt) = 10000*e^(0.032*6) = $12116.71
Answer:
x = 60°
Step-by-step explanation:
It is given that the stones are equally spaced. As the circle is divided into 6 parts by 6 split points and there are 360∘ in the circle, each part equals 360∘/6 = 60∘. So,
mAB◠ = 60∘
mBC◠ = 3 (60∘) = 180∘
If a tangent and a secant intersect in the exterior of a circle, then the measure of the angle formed is half the difference of the measures of its intercepted arcs.
x = 1/2 (mBC◠ − mAB◠)
Substitute the known values into the formula.
x = 1/2 (180∘ − 60∘)
= 1/2 (120∘)
= 60∘
Therefore, x = 60∘.
The second option. Angles 2 and 6 are corresponding angles, and 6 and 7 make a linear pair, so 2 and 7 are supplementary.
The first option doesn’t even mention angle 7, the third option doesn’t mention angle 2, and the last option doesn’t mention 7 either.
First, the bigger square's area is 20*20= 400 cm^2
second, the circle's area is ¶r^2 = ¶(20/2)^2 = ¶(10)^2 = 100¶ cm^2
third, smaller square-- if we imagine it as 4 parts as 4 right triangles-- 1 part will be 1/2*(20/2)(20/2) = 1/2 (10)(10) = 50 cm^2 then the area of the smaller square is 4*50 = 200 cm^2
so the shaded parts = circle - smaller square =100¶ - 200 cm^2
the answer is 2