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Degger [83]
3 years ago
14

Copy the problems on to your paper. Use your notes as reference.

Mathematics
1 answer:
____ [38]3 years ago
6 0

Answer:

1. x⁴³/³⁵

2. 1/x⁶

3. x⁴/2

Step-by-step explanation:

1. ⁷√x³. ⁵√x⁴

The above expression can be simplified as follow:

Recall:

ᵐ√aⁿ = aⁿ/ᵐ

⁷√x³ × ⁵√x⁴ = x³/⁷ × x⁴/⁵

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x³/⁷ × x⁴/⁵ = x⁽³/⁷ ⁺ ⁴/⁵⁾ = x⁴³/³⁵

Therefore,

⁷√x³. ⁵√x⁴ = x⁴³/³⁵

2. x¯³ / x⁵x¯²

The above expression can be simplified as follow:

Recall:

aⁿ × aᵐ = aⁿ⁺ᵐ

x⁵x¯² = x⁵ ⁺ ⁽¯²⁾ = x⁵ ¯ ² = x³

Thus,

x¯³ / x⁵x¯² = x¯³ / x³

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

x¯³ / x³ = x¯³ ¯ ³ = x¯⁶

Recall

a¯ⁿ = 1/aⁿ

x¯⁶ = 1/x⁶

Therefore,

x¯³ / x⁵x¯² = 1/x⁶

3. 5(x⁴)³ / 10x⁸

The above expression can be simplified as follow:

Recall:

(aⁿ)ᵐ = aⁿ×ᵐ

5(x⁴)³ / 10x⁸ = 5x¹² / 10x⁸

Recall:

aⁿ / aᵐ = aⁿ ¯ ᵐ

5x¹² / 10x⁸ = (5/10)x¹² ¯ ⁸ = 1/2 x⁴ = x⁴/2

Therefore,

5(x⁴)³ / 10x⁸ = x⁴/2

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kirza4 [7]

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

6 0
3 years ago
How do I get the answer to this problem​
Licemer1 [7]

Answer:

Link to the answer

Rtymath/heo

3 0
3 years ago
the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev
aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean (\nu )  = 4

Standard deviation (\sigma  ) = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

P(2<  X<  6)   =  P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}<  \frac{6 - 4 }{1.5})

                         = P(\frac{-2 }{1.5}< Z<  \frac{2 }{1.5})     Put  [Z = \frac{X - \nu }{\sigma}]

                         =  P(-1.33< Z<  1.33)

                          = (Z<  1.33) - (Z<  -1.33)

                          = .9082 - .0918

                           = 0.8164

6 0
4 years ago
Mr.Sampson fills the family pool with water for the summer, after two hours, the water has reached the depth of 2.5 feet.After t
scoray [572]

This question is incomplete

Complete Question

Mr Sampson fills the family pool with water for the summer.After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.If the relationship between time and water depth is proportional,what is the constant of proportionality?

Answer:

1.33

Step-by-step explanation:

Time is proportional to Depth

Hence:

T ∝ D

T = kD

Where k is the constant of proportionality

After two hours,the water has reached a depth of 2.5 feet. After three hours,the water level has risen to 3 3/4 feet.

Total number of hours now is 3 + 2 = 5 hours

5 = k × 3 3/4

5 = k × 3.75

k = 5/3.75

k = 1.33

8 0
3 years ago
Can someone help me please !
elena55 [62]
The reference angle is
pi/3.

At 180 it would be 9pi/3 so going past that is 10pi/3.

7 0
3 years ago
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