Answer:
angle ABC = angle MNP
(See the single curved shape at angle B? Match it to the same one on the other triangle. The same with the double and triple angles. The marks in the middle of the lines work the same way. Lines BC, BA, NM, and NP are all the same length.)
Step-by-step explanation:
Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Answer:
Continuous
Step-by-step explanation:
The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).
The relationship between hours and miles the water traveled is continuous.
Answer:
3x
Step-by-step explanation:
3x(5x-7)
brainliest!
Answer:
t distribution behaves like standard normal distribution as the number of freedom increases.
Step-by-step explanation:
The question is missing. I will give a general information on t distribution.
t-distribution is used instead of normal distribution when the <em>sample size is small (usually smaller than 30) </em>or <em>population standard deviation is unknown</em>.
Degrees of freedom is the number of values in a sample that are free to vary. As the number of degrees of freedom for a t-distribution increases, the distribution looks more like normal distribution and follows the same characteristics.
