In Juneau, Alaska, the 30-year annual snowfall average is 86.7 inches with a standard deviation of 40.4 inches. The last four years saw an average annual snowfall of 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make?a) The z-statistic is 1.44, so the null hypothesis cannot be rejected.
b) he z-statistic is 1.68, so the null hypothesis cannot be rejected.
c) The z-statistic is 1.85, so the null hypothesis should be rejected.
d) The z-statistic is 4.6, so the null hypothesis should be rejected.

Answers

Answer 1
Answer: The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches. To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years. Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches. Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches. To compute for the z-score, we have z-score = (x – μ) / (σ / √n) where x is the computed/measured value, μ is the expected mean, σ is the standard deviation, and n is the number of samples. Using the information we have, z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68 In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05. Therefore, the answer is B.
Answer 2
Answer:

Answer:

its B

Step-by-step explanation:


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A video game is on sale for 15% off the list price of $50. How much is saved by buying the game at the sale price?​

Answers

Answer:

7.5$

Step-by-step explanation:

Original price = \$50\nDiscount = 15\%\n\n(15)/(100) * 50\n = \$7.5\n

What are quadrants ?????????

Answers

On a graph, most likely a graph for slope, etc, you'll find something called a quadrant. 

A quadrant is the group, or side of the graph. 
There are 4 quadrants on a normal graph. 

Below (in picture) is each one. 


a quadrant is an instrument that is used to measure angles up to 90 degrees 

Simultaneous equations
4x + 7y= 1
3x +10y=15

Answers

(-3)×  (4x+7y=1)                    -12x-21y=-3                  
   4×  (3x+10y=15)                  12x+40y=60      ⇒      (x s cancel out) 

-21y=-3
40y=60        ⇒19y-57
                    y=3
for find the x plug in the 3  to the y one of these two equations and solve for the x

12x+40(3)=60
12x=-60
x=5                  HOPE IT HELPS:)


We are going to be adding the two equations and want to cancel something out to isolate the other.
Let's cancel out the x term first
Multiply the first equation by -3 and the second equation by 4
-3(4x+7y)=-3(1) => -12x-21y=-3
4(3x+10y)=4(15) => 12x+40y=60
Add the two equations and the x terms cancel out, leaving 19y=57
y=57/9=3
Substitute that into the second equation and you get
3x+10(3)=15
3x+30=15
3x=-15
X=-15/3=-5
Final answer:
x=-5
y=3

How many ways can 7 basketball players be listed in order in a program? A. 5,040 B. 720 C. 120 D. 1

Answers

Answer:

A. 5040

Step-by-step explanation:

Number of players of the basketball = 7 and these players are to be listed in order in a program.

Since in any question if order is important then permutation is used and if order does not matters combination is applied.

Therefore for this question where 7 basketball players are to be listed in order, means order matters so permutation is to be used.

nPr=(n!)/((n-r)!)=7!/(7-7)!=7!/0! = 7! = 7.6.5.4.3.2.1 = 5040

Therefore option A 5040 is the right answer.

Since the order of basketball players is important, permutation is used. The problem could be interpreted as the permutation of 7 taken 7 at a time

nPr = n! /(n-r)! = 7! /0! = 5040 ways.

The answer is A.

How u write an inequality for brigitte is shorter than 5 feet (brigitte height =h)

Answers

You have said that Brigitte is shorter than 5 feet. Translating your statement into rigorous mathematical terminology, we would write "Brigitte's height is less than 5 feet.". Then, using 'h' to represent Brigitte's height, and '<' to represent the words "less than", we can write the statement symbolically as [ h < 5 feet ].

In slope intercept form what is the equation of (-5,4)(5,1)

Answers

Answer:

y = - 3/10x + 5/2

Step-by-step explanation: