Step-by-step explanation:
4x² + 11x - 3 = 0
(4x-1)(x+3) = 0
x = 1/4, -3
let n be the number of times letter be found (1800), p be the success rate (0.068), and q be the failure rate (1 - 0.068 = 0.932)
mean = np = 1800 x 0.068 = 122.4
standard deviation = √(npq) = √(1800 x 0.068 x 0.932) = 10.6807414
<h3>
<u>3</u><u>6</u> is the answer.</h3>
Step-by-step explanation:
Put value of b as given and using BODMAS rule,





Henve, value of of the given expression is 
Answer: x=1
Step-by-step explanation:
Answer:
There is no evidence that the doors are too long and need to be trimmed (H₀ is accepted)
Step-by-step explanation:

The null hypothesis, 
Alternative hypothesis, 
Test statistic is calculated as follows:

Find the P-value
P(z > 1.27) = 1 - P(z < 1.27)
P(z > 1.27) = 1 - 0.898
P(z > 1.27) = 0.102
Significance level, α = 0.01
Since P - value(0.102) is greater than α (0.01), the null hypothesis will be accepted.