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Lorico [155]
3 years ago
6

(8/9)^-2 without an exponent

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0

Answer:

81/64  or 1 17/64

Step-by-step explanation:

A negative exponent means to flip the fraction

(8/9) ^-2

(9/8)^2

81/64

Changing this to a mixed number

1 17/64


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A professor would like to test the hypothesis that the average number of minutes that a student needs to complete a statistics e
professor190 [17]

Answer:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

Step-by-step explanation:

Information given

n=15 represent the sample size

\alpha=0.05 represent the confidence level  

s^2 =16 represent the sample variance

\sigma^2_0 =25 represent the value that we want to  verify

System of hypothesis

We want to test if the true deviation for this case is lesss than 5minutes, so the system of hypothesis would be:

Null Hypothesis: \sigma^2 \geq 25

Alternative hypothesis: \sigma^2

The statistic is given by:

\chi^2 =\frac{n-1}{\sigma^2_0} s^2

And replacing we got:

\chi^2 =\frac{15-1}{25} 16 =8.96

The degrees of freedom are given by:

df = n-1 = 15-1=14

The p value for this case would be given by:

p_v =P(\chi^2

Since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true deviation is not ignificantly lower than 5 minutes

6 0
3 years ago
−9x+4y=6 9x+5y=−33 ​
blsea [12.9K]

Answer:

{x,y} = {-2,-3}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    -9x + 4y = 6

  [2]    9x + 5y = -33

Graphic Representation of the Equations :

   4y - 9x = 6        5y + 9x = -33  

Solve by Substitution :

// Solve equation [2] for the variable  y  

 

 [2]    5y = -9x - 33

 [2]    y = -9x/5 - 33/5

// Plug this in for variable  y  in equation [1]

  [1]    -9x + 4•(-9x/5-33/5) = 6

  [1]    -81x/5 = 162/5

  [1]    -81x = 162

// Solve equation [1] for the variable  x  

  [1]    81x = - 162  

  [1]    x = - 2  

// By now we know this much :

   x = -2

   y = -9x/5-33/5

// Use the  x  value to solve for  y  

   y = -(9/5)(-2)-33/5 = -3

3 0
3 years ago
If a person draws a playing card and checks its suit and then spins a three-space spinner, describe the sample space of possible
3241004551 [841]

Answer:

,,

Step-by-step explanation:

5 0
3 years ago
Helpppp pleasssss!!!!
DaniilM [7]

Answer:

Step-by-step explanation:

A)  

attached , I used g o o g l e draw.

B)

0.8 m  = 80 cm    =800 mm /50 = 16 mm

C)

bed = 4cm x 3cm  

4cm*50= 200 cm = 2 m  

3cm*50 = 150 cm = 1.5 m

8 0
3 years ago
Durind the summer, Ms. Stevenson likes to swim. Her goal next summer is to swim1,456 laps. If she swims 28 laps a day, how many
WINSTONCH [101]

Answer:

52

Step-by-step explanation:

1456/ 28 = 52 days

6 0
3 years ago
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