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Ne4ueva [31]
3 years ago
5

Expand and simplify: (13i-9)^5

Mathematics
1 answer:
Softa [21]3 years ago
6 0

Answer:

−112284−981812i

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The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0
2 years ago
Harold took five different samples of thirty-five randomly selected students from the 520 students he surveyed. The
mars1129 [50]

Answer:

d!

Step-by-step explanation:

just took the test! gl

3 0
3 years ago
Please help!!! I will mark best answer!
Kisachek [45]

Answer:

D

Step-by-step explanation:

7 0
2 years ago
Determine
Luden [163]

Answer:

\mu_{x} = 64, \sigma_{x} = 12.83

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu_{x} = \mu and standard deviation \sigma_{x} = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 64, \sigma = 77, n = 36

So

\mu_{x} = 64, \sigma_{x} = \frac{77}{\sqrt{36}} = 12.83

7 0
3 years ago
One number is 2 more than another. The difference between their squares is 24.
kkurt [141]

Answer: The numbers are 7 and 5

Step-by-step explanation:

Let the first number be x and the second number be y.

From the first statement , it was said that one of the number is two more than the other , that is

x - y = 2  .................. equation 1

square of x is x^{2} and the square of y is y^{2} , the difference between thier squares implies

x^{2} - y^{2} = 24 .............. equation 2

solving the resulting simultaneous equations by substitution method:

From equation 1 , make x the subject of the formula , that is

x = 2 + y ............. equation 3

substitute equation 3 into equation 2 , we have

(2+y)^{2} - y^{2} = 24

Expanding , we have

y^{2} + 4y + 4 - y^{2}  = 24

4y + 4 = 24

Subtract 4 from both sides

4y = 20

y = 20/4

y = 5

substitute y = 5 into equation 3 , we have

x = 5+ 2

x = 7

Therefor the numbers are 7 and 5

7 0
3 years ago
Read 2 more answers
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