The y-intercept is the location where any graph meets the y-axis.
Conversely, the x-intercept is where a graph intersects the x-axis.
This indicates that the coordinates at the intercept will always have the x-value as 0. Therefore, points of the format (0, y) represent y-intercepts, while points in the format (x, 0) indicate x-intercepts.
The provided points are:
(0,-6): y-intercept
(-2,0): x-intercept
(-6,0): x-intercept
(0,-2): y-intercept
X^2 - x - 90 =0
This quadratic equation is in the standard format ax^2+ bx + c
The total of the solutions can be found using -b/a (where a and b are the coefficients from the original equation, not the solutions)
The resulting answer is 1/1 = 1
Answer:
The total probability exceeds 100%, indicating a problem with the findings; moreover, the distribution shows excessive uniformity which disqualifies it as a normal distribution.
Detailed explanation:
The sum of probabilities should be exactly 100%. When you add the probabilities of this distribution:
22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121
This exceeds 100%, highlighting a significant error in the results.
A typical normal distribution possesses a bell curve. If we plot the probabilities for this distribution, we'd see bars at 22, 24, 21, 26, and 28.
The bars would fail to form a bell-shaped curve, confirming that this is not a normal distribution.
Triangle XYZ is an equilateral triangle, meaning the sector's central angle measures 120 degrees, which is equivalent to 2π/3 radians. To find the area of a sector corresponding to a central angle β, we use the formula A = (1/2)r²*β, where β is expressed in radians. For this sector, the area calculation is A = (1/2)*2²*(2π/3) = 4π/3 square units.
Answer:
900cm^3
Step-by-step explanation:
1 cm equals 10 mm
x equals 300mm (by cross multiplication)
1cm times 300mm divided by 10mm equals 10mm times x divided by 10mm
Thus, 30cm equals x
30cm equates to 300mm
1m equals 100cm
0.2m equals x
1m times x divided by 1m equals 0.2m times 100cm divided by 1m
x equals 0.2 times 100cm
x equals 20cm
0.2m converts to 20cm
Length equals 15cm
Width equals 30cm
Height equals 20cm
Volume is length times width times height
Volume equals 15cm times 30cm times 20cm
Volume equals 450cm^2 times 20cm
Volume equals 900cm^3
