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3 years ago

May you please help me with this

Mathematics

1 answer:

steposvetlana [31]3 years ago

7 0

Answer:

ratio of a is 44:56, ratio of b is 97:3

fraction of a is 44/100, fraction of b is 97/100

decimal of a is 0.44, decimal of b is 0.97

percent of a is 97%, and percent of b is 97%

if this is wrong im so sorry :()()()()(

step-by-step explanation:

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How do I do this because it's really confusing haha

netineya [11]

A = 1.5
B = -1/3
C = -4/3

A is a positive so there is only one possibility
B is in between 0 and -1, so it has to be -1/3
C is below -1 and so its the improper fraction

5 0

3 years ago

Solve the problem. A variable x has the possible observations shown below. Possible observations of x: -3 -1 0 1 1 2 4 4 5 Find

svp [43]

Answer:

The z-score corresponding to an observed value of x of 2 is 0.215.

Step-by-step explanation:

We are given that a variable x has the possible observations shown below;

Possible observations of X: -3, -1, 0, 1, 1, 2, 4, 4, 5.

Firstly, we will find the mean and the standard deviation of X, i.e;

Mean of X, ( $\mu$ ) = $\frac{\sum X}{n}$

= $\frac{(-3)+ (-1)+ 0+ 1+ 1+ 2+ 4+ 4+ 5}{9}$

= $\frac{13}{9}$ = 1.44

Standard deviation of X, ( $\sigma$ ) = $\sqrt{\frac{\sum (X-\bar X)^{2} }{n-1} }$

= $\sqrt{\frac{(-3-1.44)^{2}+(-1-1.44)^{2}+......+(4-1.44)^{2}+(5-1.44)^{2} }{9-1} }$

= 2.603

Now, the z-score corresponding to an observed value of x of 2 is given by;

z-score = $\frac{X-\mu}{\sigma}$

= $\frac{2-1.44}{2.603}$ = 0.215.

4 0

3 years ago

Todd has $124 in his checking account. He wrote two checks for $13.96 and $21.67 and transferred $14 into his checking from

dangina [55]

Answer: $74.37

Step-by-step explanation:

7 0

3 years ago

Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more

dalvyx [7]

The power series is

g(x) = -2x - (2x)2/2 - (2x)3/3 -(2x)4/4 -.......-(2x)n/n - .....

To deduce the power series of g(x) from the power series for f(x) and identify its radius of convergence

The power series for f(x) is just the geometric series derived from 1/1-y ,setting y=2x.

Its radius of convergence is 0.5

Let,

f(x)= 1/1-2x = 1+ (2x) + (2x)2 + .........+(2x)n......+....

The power series expansion (geometric series),

valid for I2xI < 1 , IxI < 0.5

so, radius of convergence = 0.5

The power series for g(x) is found by integrating term by term the power series of f(x) (upto a constant). The radius of converngence of g(d) is the same as that of f(x) (from general theory) =0.5

Now, g(x) = ln(1-2x)

= -2 $\int\limits^a_b {(1/1-2x)} \, dx = -2 \int\limits^a_b {f(x)} \, dx$