<h3>☂︎ Answer :- </h3>
<h3>☂︎ Solution :- </h3>
- LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
- 2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .
In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .
The least perfect square greater that the LCM ,
☞︎︎︎ 2 × 3³ × 5² × 2 × 3
☞︎︎︎ 2² × 3⁴ × 5²
☞︎︎︎ 4 × 81 × 85
☞︎︎︎ 100 × 81
☞︎︎︎ 8100
8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .
Answer:
A = 24 m^2
The unit is m^2
Step-by-step explanation:
The area of the rectangle is found by using the formula
A = l*w
where l is the length and w = width
A = 3m * 8 m
A = 24 m^2
The unit is m^2
Answer:
Her commute would be between 32 and 35 minutes 33 times.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Proportion of days in which the commute is between 32 and 35 minutes:
This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.
X = 35
has a pvalue of 0.94.
X = 32
has a pvalue of 0.8133.
0.94 - 0.8133 = 0.1267
Out of 262 days:
Each day, 0.1267 probability
0.1267*262 = 33
Her commute would be between 32 and 35 minutes 33 times.
4ft, 9ft, 6ft because every sum of a combination of 2 sides has to be greater than the length of the third side.
Answer:
$15.6
Step-by-step explanation:
First, let's assume that <em>x</em> is the total money in the bag of coins.
1. <em>x</em> = total money
4/13 of the coins are pennies, so 4/13 of x equals to the number of pennies.
4/13(x) = P (pennies)
What is left that is not pennies is 9/13(x). And out of these, 1/4 are nickels. Which means:
1/4(9/13[x]) = N (nickels)
If 1/4 of the remaining are nickels, then 3/4 are dimes. So:
3/4(9/13[x]) = $8.10 (dimes' value)
After calculating the one with the value:
27/52(x) = $8.10
27x = $8.10 times 52
x = ($8.10 times 52)/27
x = 52 x $0.3
x = $15.6
Ans. The value of the bag of coins is $15.6
