We have a triangle:
the side opposite the angle Ф is 4/5,
The side adjacent the angle Ф is 3/5
1) we calculate the hypotenuse, by the Pythagoras Theorem:
h=√[(4/5)²+(3/5)²]=1
2) we calculate the csc of Ф
csc Ф= hypotenuse / opposite side
csc Ф=1/ (4/5)=5/4
Answer: e. 5/4
ANSWER — 350 : 2000 or 7 : 40 (simplified version)
Solving: 100+250=350 (the loan part).
The income is given, it the amount Natalie makes per month (2000).
Simplifying: 350/50=7, 2000/50=40
The answer is D
Explanation:5x^5-44x^3-9x=0
X(5x^2+1)(x-3)(x+3)=0
X(x+3)(x-3)=0
X=0,x=-3,x=3
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
