Answer:
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean 
and standard deviation 
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A certain type of storage battery lasts, on average, 3.0 years with a standard deviation of 0.5 year
This means that 
What is the probability that a given battery will last between 2.3 and 3.6 years?
This is the p-value of Z when X = 3.6 subtracted by the p-value of Z when X = 2.3. So
X = 3.6
has a p-value of 0.8849
X = 2.3
has a p-value of 0.0808
0.8849 - 0.0808 = 0.8041
0.8041 = 80.41% probability that a given battery will last between 2.3 and 3.6 years
Tan(29°) = opposite/adjacent = AC/CB ⇒
CB = AC/tan(29°) = 20/0.5543 ≈ 36.08
sin(29°) = opposite/hypotenuse = AC/AB ⇒
AB = AC/sin(29°) = 20/0.4848 ≈ 41.25
∠A = 180 - ∠B - ∠С = 180 - 29 - 90 = 61°
The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tan function is cotan
Cotx=1\tanx
Determine<span> whether a triangle with the given </span>lengths<span> is a </span>right triangle<span> or not. </span>Find<span> the </span>missing side<span> in each of the following </span>right triangles<span>. 2.</span>8 cm<span>, ') = 7 </span>cm<span> (</span><span>b) $% = 6 </span>cm<span>, %& = </span>8 cm<span>, $& = 10 </span>cm<span> (c) 34 = 17 </span>cm<span>, 45 = </span>8 cm<span>, 35 = </span>15 cm<span> 3.
</span>Use the Pythagorean Theorem to find<span> each </span>missing<span> measure. 1. 2. Example 1A</span>: Calculating theLength<span> of a </span>Side<span> of a </span>Right Triangle<span>. 12 </span>cm<span> , </span>82<span> + </span>152<span> = 17</span>2<span>.
</span>8.6.7, 8<span>.EE.2. When viewed from the </span>side<span>, the shape of some wooden waterskiing ramps is a, So, the hypotenuse is </span>15<span> inches long. Check: 02 + Write an equation you could use to </span>find<span> the length of the </span>missing side<span> of 20 </span>cm<span>. 18 yd lf the </span>sides<span> of a </span>triangle<span> have </span>lengths<span> 0,13, and c units such that 02 + is)2 = C 2</span>
1. Use the Multiplication Distributive Property: (xy)^a = x^a y^a
3√6 3√x √y^2
2. Use this rule: (x^a)^b = x^ab
3√6 3√xy^2/3
