Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
In this question , it is given that we have a cylinder with with a radius of 9 and a surface area of approximately 791.68 units square.
The formula of surface area of cylinder is
Substituting the values of A and r, we will get
So the height of the cylinder is 5 units .
Answer:
Cost for 68 words = 148 naira
Step-by-step explanation:
Given that:
Cost of first ten words = 32 naira
Cost of additional words = 2 naira per word
Let,
x be the number of additional words.
y be the total cost
y = 2x + 32
We have to find the cost for 68 words.
The cost of first 10 words will be 32 naira.
Additional words = 68 - 10 = 58 words
Putting x = 58 in the equation
y = 2(58) + 32
y = 116 + 32
y = 148
Hence,
Cost for 68 words = 148 naira
Answer:
The debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
Step-by-step explanation:
The assignment of how much is owed to the responsible party is the major reason of a proration.
For the days owned by the seller, the buyer needs money from the seller since the buyer will pay the taxes at end of the year.
Amount per day = Annual tax bill / 365 = $2800 / 365 = $7.67
Total number of days from January 1 to a day before March 5 = Number of days in January + Number of days in February + Number of days from March 1 to March 4 = 31 + 28 + 4 = 63
Amount the seller owes for the time he owned = Amount per day * Total number of days from January 1 to a day before March 5 = $7.67 * 63 = $483.29
Therefore, the debit and credits for the tax proration will be as follows:
Debit seller for $483.29; and Credit buyer for $483.29.
