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strojnjashka [21]
3 years ago
6

What single percentage change is equivalent to a 11% decrease followed by a 21% increase?

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

7.69% increase

Step-by-step explanation:

Let our initial number be 100

11% decrease will be;

100- 0.11(100) = 100-11 = 89

A 21% increase will be;

89 + 21% of 89

89 + 0.21(89)

= 107.69

difference from the starting is 107.69 - 100 = 7.69

The percentage is 7.69% increase

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Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.Listed bel
timama [110]

Answer:

D.​No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

(a) Range is the difference between the smallest and largest observation.

Here Smallest observation = 0.63

and Largest observation = 1.48

⇒ Range = 0.85

(b) Standard Deviation is calculate by,

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the observation.

Here, Mean = 0.988

⇒ Standard Deviation = 0.313

(c) Variance is the square of Standard deviation.

Thus, Variance = (Standard Deviation)² = 0.098

(d) Here last option(D) is true i.e. ​No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

8 0
3 years ago
What is a multiple of 7 and is also a factor of 7
olga2289 [7]
28 is a multiple of 7 and also a factor of seven!
4 0
3 years ago
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
What is the remainder of (3-6×2-9xl+3)?
Naddik [55]
9lx−6x^2+6
It not 91 it the letter L just lower case
3 0
4 years ago
Write absolute value of the following rational number -6/11 , 15/21 , -9 , -21/-37 , 31/-54​
Dahasolnce [82]

Answer:

6/11, 15/21, 9, 27/37, 31/54

Step-by-step explanation:

Absolute value is when you determine the distance between a value and zero . Since you will always have a positive distance, your absolute values are positive as well.

4 0
3 years ago
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