Answer:
Step-by-step explanation:
Hope this helps.
A component in a music system has a life expectancy of 2,400 hours with a standard deviation of 300 hours. If an average person
1 answer:
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Answer: The required answers are
(a) 0.25, (b) 0.62, (c) 6.
Step-by-step explanation: Given that we toss a fair coin 10 times and X denote the number of heads.
We are to find
(a) the probability that X=5
(b) the probability that X greater or equal than 5
(c) the minimum value of a such that P(X ≤ a) > 0.8.
We know that the probability of getting r heads out of n tosses in a toss of coin is given by the formula of binomial distribution as follows :
(a) The probability of getting 5 heads is given by
(b) The probability of getting 5 or more than 5 heads is
(c) Proceeding as in parts (a) and (b), we see that
if a = 10, then
Therefore, the minimum value of a is 6.
Hence, all the questions are answered.
Quadratic Function is a function that takes the equation form of:
where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.
<u>Vertex</u><u> </u><u>Form</u>
<u>Intercept</u><u> </u><u>Form</u>
The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.
If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.
So our only quadratic functions are:
As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.
Answer
- The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
- -x²-4 is in standard form.
- (x-1)²-7 is in vertex form.
Hope this helps and let me know if you have any doubts.
<em>Als</em><em>o</em><em> </em><em>let</em><em> </em><em>me</em><em> </em><em>know</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>me </em><em>t</em><em>o</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>function</em><em> </em><em>into</em><em> </em><em>other</em><em> </em><em>form</em><em>.</em><em> </em><em>For</em><em> </em><em>ex</em><em>.</em><em> </em><em>convert</em><em> </em><em>the</em><em> </em><em>vertex</em><em> </em><em>form</em><em> </em><em>to</em><em> </em><em>standard</em><em> </em><em>form</em><em>.</em><em> </em>
Happy Learning and Good Luck with your assignment!
Answer:
a ≈ 21.8
Step-by-step explanation:
We require the third angle in the triangle
Subtract the sum of the 2 angles from 180
third angle = 180° - (75 + 31.8)° = 180° - 106.8° = 73.2°
Using the Sine rule, that is
=
( cross- multiply )
a × sin75° = 22 × sin73.2° ( divide both sides by sin75° )
a = ≈ 21.8 ( to the nearest tenth )