How many roots does the equation 3x² = 1 - 7x have and what is the nature of the roots
1 answer:
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Answer:
Test statistic = 2
P-value = 0.0227
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = $98
Sample mean, = $100
Sample size, n = 100
Population standard deviation, σ = $10
First, we design the null and the alternate hypothesis
Formula:
Putting all the values, we have
Now, we can calculate the p-value from the normal table
P-value = 0.0227
Answer:
- a ≈ 615.272
- b ≈ 1.61875
Step-by-step explanation:
My graphing calculator can solve this problem two ways. It can do a least-squares fit of the exponential data, or it can do a least-squares fit of the logarithm of the data. The answers come out different.
In "log mode", the parameters of the exponential equation are computed as ...
a ≈ 615.272
b ≈ 1.61875
__
With log mode turned off, the "a" parameter is lower (≈553.071), and the "b" parameter is higher (≈1.65573). This mode gives a better fit to the larger data values, at the expense of a poorer fit to the lower data values, as you might expect.
Answer:
521
Step-by-step explanation:
Composite figure.
Draw a straight down from C to line segment AB. This forms a triangle.
Now, the area of this figure=
Area of semicircle+area of rectangle+ area of triangle.
Rectangle area formula = l times w
Length - 20
Width =14
14 times 20 = 280
Area of rectangle = 280
Semicircle area = area of circle/2
Area of circle = π
Diameter =20= 2r
r=10
π= π 10^2 =100π
100 times 3.14 =314
314/2 = 157
Area of semicircle = 157
Area of triangle= bh/2
Triangle's base= 32-20=12
Triangles height = 14
14 times 12 = 168
168/2 = 84
Area of triangle: 84
Area of semicircle+area of rectangle+ area of triangle.
157+280+84 =521