Answer:
24.03 feet
Step-by-step explanation:
tan(59⁰)=40/x
x=40/tan(59°)
x=24.03
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 100g
For the alternative hypothesis,
µ < 100g
Due to the <, It means that it is left tailed test.
Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 100g
x = 99 g
σ = 1g
n = 30
z = (99 - 100)/(1/√30) = - 5.48
Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001
P value < 0.00001
Answer:
-9/5
Step-by-step explanation:
I am pretty sure this is it and hope it helps
Answer:
Step-by-step explanation:
The parent function of g(x) = 2*3^x-4 would be 3^x
The transformation would include: shifting parent function 4 units down (-4) and compressing the function (2)
The movement (shifting) of the graph is caused by the y-intercept. If the y-intercept is positive, the graph moves up and vice versa.
The coefficient which is multiplied determines whether the function is compressed (squeezed) or stretched. If the coefficient is less than 1, then the function is stretched. If the coefficient is greater than 1, then the function is compressed.
x = 3,-1, multiplicity of 2.
Therefore, it is 4-degree polynomials. (considering that x = 3,-1,2,2)
We just convert these x-values into x-intercept form and convert again in standard form by multiplying.
(x-3)(x+1)(x-2)²
(x²-2x-3)(x²-4x+4)
(x⁴-4x³+4x²-2x³+8x²-8x-3x²+12x-12)
Thus the answer is x⁴-6x³+9x²+4x-12
