Tan x°= Opposite/ adjacent<span>so tan </span>x°=86
Answer:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the normal standard table or excel and we got:
Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
Answer: 38.25
Step-by-step explanation: You divide the whole number by the denominator in the fraction.
153/4 = 38.25
What is the exact question? It seems like you are asking for the Pythagorean theorem. Ok, I’ll try to help if that’s the case.
a^2 + b^2 = c^2
4^2 + 5^2 = c^2
16 + 25 = c^2
41 =c^2
6.403124237432849 = c
So now since we have the answer, we need to figure out if this result and 6 are equal.
6^2 = 36
25 + 16 = 41
41 and 36 are not equivalent so if the case is that u want me to find the Pythagorean theorem, then the answer is that they aren’t equal. And the real answer is that c equals 6.403124237432849. Which means that 4in, 5in, 6in is not the correct order. And that 16in, 25, 41 is the correct order.
I hope this helped!