The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
<h3>What are Scientific notations?</h3>
The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5×10¹².
As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,
Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
Learn more about Scientific notation:
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Hello!
So 4/4 - 3/4 = 1/4 (a quarter). So we have to find a quarter of 3/8 and add it to 3/8. First of all, we have to convert 1/4 to a percentage. The answer is 25%. 3/8 as a decimal is 0.375. 25% of 0.375 = (0.25 x 0.375 =) 0.09375.
0.09375 + 0.375 = 0.46875.
Now, we have to convert 0.46875 back into a fraction.
So the answer is 5/64.
Have a great day! :)
Answer:
a) 2.5% b) 84% c) 95% d) D. The more unusual day is if the stock closed below $185 because it has the largest absolute z-score.
Step-by-step explanation:
For a) b) and c) we will use the empirical rule, so, we can observe the image shown below
a) 211.23 is exactly two standard deviation above the mean, so, the probability that on a randomly selected day in this period the stock price closed above 211.23 is 2.35% + 0.15% = 2.5%
b) 204.11 represents exactly one standard deviation above the mean, so, the probability of being below 204.11 is 50% + 34% = 84%
c) The probability of getting a value between 182.75 and 211.23 is 95%, this because 182.75 is exactly two standard deviations below the mean and 211.23 is exactly two standard deviations above the mean.
d) The z-score related to 208 is 
= (208-196.99)/7.12 = 1.5 and the z-score related to 185 is 
= (185-196.99)/7.12 = -1.7, therefore, the more unusual day is if the stock closed below $185 because it has the largest absolute z-score.
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money
Answer:
Multiply the radius (r), by 2 then divide the angle measure, x, by 4.
Step-by-step explanation:
