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hammer [34]
3 years ago
7

Find x when 3^x-1=27

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

x=4

Step-by-step explanation:

3^(x-1)=27

=>3^(x-1)=3³

=>(x-1)=3

=>x=4

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What is 15 more than half of a number​
Tatiana [17]

Answer:

depends on the number... using a variable it would be 1/2n+15

Step-by-step explanation:

It's easy. Half of a number would be dividing it in half then adding 15.

4 0
2 years ago
The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to
Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, \sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = \dfrac{2+3}{2}=\dfrac52=2.5

Mode = most repeated number = 2    (thrice)

geometric mean = \sqrt[n]{x_1\times x_2\times.... x_n}

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

4 0
3 years ago
K divided by 11 is 7.<br>​
sp2606 [1]

Answer:

ok

Step-by-step explanation:

3 0
3 years ago
Each of the four sides of a swimming pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it
iragen [17]

The volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m^3. 

So the answer is D. 405 cubic meters

5 0
3 years ago
Read 2 more answers
Rehana has some money after she spend Rs15 she has Three quarter of the initial amount left the amount left is
ludmilkaskok [199]

Answer:

Amount left = Rs 45

Step-by-step explanation:

Let the initial amount be x.

Translating the word problem into an algebraic expression, we have;

x - 15 = \frac {3}{4} * x

x - 15 = \frac {3x}{4}

Cross-multiplying, we have;

4(x - 15) = 3x

4x - 60 = 3x

Rearranging the equation (collecting like terms), we have;

4x - 3x = 60

x = Rs 60

Next, we find the amount left;

Amount left = 60 - 15

Amount left = Rs 45

6 0
3 years ago
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