Answer:
2.06°
Step-by-step explanation:
The readings are normally distributed with mean 0° and standard deviation 1°. It means that the readings follows a standard normal distribution, so the reading that corresponds to the 98th percentile is equal to the z value that fulfill with:
P(Z<z)=0.98
Then, using the standard deviation table, we have that the z value is equal to 2.06. it means that the reading that separate the bottom 98% from the top 2% is equal to 2.06°
ΔABC is a 45 - 45 - 90 triangle. The pattern of its sides is as follows:
Each leg = 1 unit (and both legs are that way, since the triangle is isosceles - so two sides are the same)
Hypotenuse = √2 units.
So if we know either leg, we multiply by √2 to get the hypotenuse. In reverse, we divide by √2 if we know the hypotenuse to get the measurement of a leg.
Our problem tells us that the hypotenuse AC is 10 units. We divide 10 by √2 to get the measurement of leg AB. Since it's a 45 -45 - 90 triangle, AB = BC.
to rationalize the radical
Thus, each leg is 5\sqrt{2} [/tex].
Multiply top and bottom of the fraction by the conjugate of 6 - i:-
(4 + 2i)(6 + i) 24 + 16i - 2 22 + 16i
----------------- = ---------------- = -----------
(6 - i)(6 + i) 36 - (-1) 37
Answer:
Sale Price = $36
Step-by-step explanation:
To find the sale price, you need to find what 10% of the original price is. 10% of $45 is $4.50. Now we need to find what 20% is, 20% is double 10% so we multiply the answer we got by 2. This equals to $9. The question is asking for the sale price, to find it you have to subtract $9 (the discount) from $45 (regular price). The answer you should get is $36.
Equation:
$45 ÷ 10 = $4.50
$4.50 × 2 = $9
$45 - $9 = $36