X = 4 y = - 3
Substitute x for 4 and y for - 3
<u>x² - 4y
</u> 2
<u>4² - 4 *(- 3</u><u>)
</u> 2
<u>16 - ( - 12 )</u>
2
<u>16 + 12</u>
2
<u>28</u> = 14
2
Solution: 14
Answer:
There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
Step-by-step explanation:
Given that mean (μ) = 165.2 pounds, standard deviation (σ) = 12.4 pounds, sample size (n) = 15 crates. Confidence (C) = 95% = 0.95
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 corresponds to the z score of 0.475 (0.5 - 0.025) which is 1.96.
The margin of error (E) is given by:
The confidence interval = μ ± E = 165.2 ± 6.28 = (158.92, 171.48)
The confidence interval is between 158.92 pounds and 171.48 pounds. There is a 95% confidence that the sample has a mean between 158.92 pounds and 171.48 pounds
Answer:
The function through which given point passes is f(x) = 24 x - 12 .
Step-by-step explanation:
Given as :
The points are
, = 1 , 12
, = 2 , 36
now, slope of the line
Let The slope of line = m =
Or, m =
Or, m = 24
So The slope of line = m = 24
<u>Now, equation of line in point-slope form</u>
y - = m × (x - )
Or, y - 12 = 24 × (x - 1 )
or, y - 12 = 24 x - 24
or, y = 24 x - 24 + 12
or, y = 24 x - 12
or , f(x) = 24 x - 12
So, The function through which given point passes is f(x) = 24 x - 12 . Answer
Answer:
392
Step-by-step explanation:
7x4=28
28x14=392