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aev [14]
3 years ago
8

What is the lcm of 9, 45, and 81

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
5 0
9 LCM=3x3=9, 45 LCM=5x9=45, 81 LCM=9x9=81
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29.
Elis [28]

Answer:

Sum of their present ages  = 20 years

Step-by-step explanation:

Present age :

   Neha's age = x years

Reemas' age = x - 4

After 5 years:

       Neha's age = (x +5) years

       Reemas' age = (x - 4 + 5 ) = x + 1

Sum of the ages of Reema and Neha will be 30

Therefore,    

x + 5  + x + 1 = 30

x + x + 5 + 1 = 30

   2x +  6    = 30

            2x = 30 - 6

           2x = 24

             x = 24/2

            x = 12

Neha's age = 12 years

Reema's age = 12 - 4 = 8 years

Sum of their present ages = 12 + 8 = 20 years

4 0
3 years ago
Simplify the following expression completely, where x 20.
Katena32 [7]

Answer:

Thats gibrish what the heckity heck

Step-by-step explanation:

learn from duolingo

5 0
4 years ago
The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 a
Licemer1 [7]

Answer:

P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(69,4)  

Where \mu=69 and \sigma=4

And we select a sample size of n =70

From the central limit theorem  (n>30)we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want to find this probability:

P(\bar X >70)

And we can use the z score formula given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And using this formula we got:

P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668

6 0
4 years ago
The admission fee at an amusement park is $2.50 for children and $5.40 for adults. On a certain day, 324 people entered the park
zheka24 [161]

Answer:

  • 124 children
  • 200 adults

Step-by-step explanation:

It usually works well to let a variable represent quantity of the highest-value contributor. Here, that is the quantity of adult tickets.

Let "a" represent the number of adult tickets sold. Then (324-a) is the number of admission fees for children. The total revenue is ...

  5.40a +2.50(324 -a) = 1390

  2.90a +810 = 1390 . . . . eliminate parentheses

  2.90a = 580 . . . . . . . . . subtract 810

  a = 200 . . . . . . . . . . . . . .divide by 2.90

The number of children admitted was 124; the number of adults admitted was 200.

8 0
3 years ago
Read 2 more answers
The diagram shows a metal plate in the shape of a rectangle. The rectangle has length 20 cm and width 12 cm. Two identical circl
Anna007 [38]

Answer:

A ≈ 183 cm²

Step-by-step explanation:

Step 1: Find the area of the 2 circles

A = πr²

r = 6/2 = 3

A = π(3)²

A = 9π

Since there are <em>2</em> circles, 9π(2) = 18π

Step 2: Find area of <em>entire </em>rectangle

A = lw

A = 12(20)

A = 240

Step 3: Subtract the area of the circles from the area of the entire rectangle

240 - 18π

Shaded area = 183.451 cm²

And we have our answer!

3 0
4 years ago
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