Answer:
divide 21,000 by 35% then subtract
Step-by-step explanation:
1. 21000 / 35 = 600
2. 21000 - 600 = 20400
The number of hours Nick took to reach the shopping mall in terms of r is ; 3.14 hours.
<h3>What is rate?</h3>
Rate is a measure of a quantity using another quantity as the basis.
Analysis:
speed travelling on foot = r
distance travelled on foot = 5 miles
time taken = 5/r
speed travelling on bicycle 80 percent faster than on foot is 1.8r
distance travelled on bicycle = 8 miles
time taken = 8/1.8r = 40/9r
total time taken to get to the mall = 5/r + 40/9r = 85/9r
speed while walking = 3 miles per hour = r
time taken = 85/9 x 3 = 3.14 hours
In conclusion, number of hours Nick took to reach the shopping mall in terms of r is 85/9r is 3.14 hours.
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Answer:
The probability is 
Step-by-step explanation:
From the question we are told that
The mean is 
The standard deviation is 
Generally the probability that a bottle has more than 12.10 ounces poured into it, causing it to overflow is mathematically represented as
From the z table the area under the normal curve to the right corresponding to 3.33 is
=>
Here we shall use the binomial distribution formula to evaluate the probability:
let the probability that the temp will be above 80 be P(F)=2/3;
Probability that the temp will be below 80 be P(F')=1/3
thus,
The probability that the temp will be above 80 for 20 days for the month of June will be:
P(F)=n!/((n-x)!x!)p^xq^(n-x)
p=2/3 and q=1/3, n=30, x=20
plugging the values in the equation we obtain:
P(F)=30!/(10!*20!)*(2/3)^20*(1/3)^(30-20)
P(F)=0.153
Option C: 
The last two terms given of the standard polynomial are:
This shows 2 patterns to us:
r 's degree is increasing per term in the given polynomial.
s 's degree is decreasing per term in the given polynomial.
The sum of powers of variates r and s is 2+4 = 3+3 = 6.
And since standard polynomial, the same pattern must be present in all terms of the series.
All options except C are not valid.
Option C has term for which r's degree plus s's degree is 1 + 5 = 6.
And r's degree 1 < s's degree 5.
Thus its a valid term to be putted as first term in standard form of polynomial in consideration.
Thus Option C: is the needed expression.
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