the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
We find the slope of parallel line using two given points
(5, -8) and (2, 4)
Slope formula is



so slope = -4
Slope of any two parallel lines are always equal
Lets find the slope of the equation 13y + kx = 4
Subtract kx on both sides
13 y = -kx + 4
Divide both sides by 13

Now slope = -k/13
We know slope of parallel lines are same
So the slope of 13y + kx = 4 is also -4
Hence we equation the slope and find out k

Multiply by 13 on both sides and divide by -1
k = 52
the value of k = 52
Answer:
a
The 95% confidence interval is 
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is 
The sample size is 
The sample mean is 
The standard deviation is 
Given that the confidence level is 95% then the level of significance is mathematically represented as

=> 
=> 
The critical value for
obtained from the normal distribution table is

Generally the margin of error is mathematically represented as

=> 
=> 
Generally the 95% confidence interval is mathematically represented as

=> 
=> 
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States
Answer:
13 C
Step-by-step explanation:
15-2=13
Answer: determine that the chemical increases apple yield
Step-by-step explanation:
Based on the Data provided or gotten after harvesti of the orchard the scientists would be able to conclude that the Chemical yielded an increase in the apples. Because the plantation the chemical was applied in produced an average of 60 apples per tree unlike the other plantation which didn’t use the chemical and came up short with 40 apples per tree.
Answer:
AC = 12 units.
Step-by-step explanation:
Δ ACD is right-angled. ( as CD ⊥ AB).
cos 45° = CD / AC = 6√2 / AC
AC = 6√2 / cos 45°
AC = 6√2 / 1 /√2
= 6√2 *√2
= 6 * 2
= 12 (answer)
HOPE THIS HELPED ;3