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3 years ago

Write another way to represent 3^-5

2 answers:

7 0

A negative exponent can be put in the denominator to make it positive. Therefore, $3^{-5} = \frac{1}{3^{5}} = \frac{1}{243}$ ~ <span>0.004115</span>

Dmitrij [34]3 years ago

3 0

4x10^-3 is another way to represent 3^-5

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A number cube with faces labeled from 1 to 6 was rolled 20 times. Each time the number

kari74 [83]

Answer:

0.4

Step-by-step explanation:

These are the relative frequencies of each face (data are missing in the text of the problem):

Number Showing on Top Face Frequency

1 0

2 3

3 3

4 6

5 3

6 5

The probability to obtain a certain number when throwing the dice is given by

$p(x_i)=\frac{f_i}{\sum f}$

where

$f_i$ is the relative frequency of the number $x_i$ to occur

$\sum f$ is the sum of the relative frequencies

Here the sum of the frequencies is:

$\sum f=0+3+3+6+3+5=20$

For number 5 here, we have:

$f_5 = 3$ (from the table)

So the probability of getting a 5 is

$p(5)=\frac{3}{20}$

For number 6 here, we have

$f_6=5$

So the probability of getting a 6 is

$p(6)=\frac{5}{20}$

So the probability to obtain either a 5 or a 6 in the next rolling is:

$p(5\cup 6)=p(5)+p(6)=\frac{3}{20}+\frac{5}{20}=\frac{8}{20}=0.4$

6 0

3 years ago

Someone help me on this one pls!!

Nataly [62]

The formula of a midpoint of AB:

$M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have:

G(b; 0); F(3b; 2b)

substitute:

$M_{GF}\left(\dfrac{b+3b}{2};\ \dfrac{0+2b}{2}\right)\to M_{GF}(2b;\ b)$

Answer: (2b, b)

7 0

3 years ago

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emmainna [20.7K]

Answer:

which question? you want me to answer

Step-by-step explanation:

7 0

2 years ago

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The transformation that can result in a figure that is NOT congruent to the original is:

ddd [48]

Dilation because the sides will not be the same size as the original

6 0

3 years ago

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In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of

vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X Southwest , Y X^2 Y^2 XY

45.96 38.76 2112.3216 1502.3376 1781.4096

46.8 45.41 2190.24 2062.0681 2125.188

47.93 15.7 2297.2849 246.49 752.501

51.78 49.58 2681.1684 2458.1764 2567.2524

52.17 44.34 2721.7089 1966.0356 2313.2178

47.36 18 2242.9696 324 852.48

Total 292 211.79 14245.6934 8559.1077 10392.0488

Sample size: n =6

Now

$S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27$

$S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03$

$S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94$

The coefficient of correlation is :

$r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436$

7 0

3 years ago