Answer:
(0, -5) and (2, -1)
Step-by-step explanation:
Since both equations have already been solved for y, the substitution method is the easiest approach here. Set the two equations equal to each other:
y = 2x - 5 = x^2 - 5 = y
Focusing on the variable x only, we get 2x - 5 = x^2 - 5.
Adding 5 to both sides results in 2x = x^2.
Factoring this result, we get x(2 - x) = 0, whose solutions are
x = 0 and x = 2.
Now find the corresponding y-values:
If x = 0, then y = 2(0) -5, or y = -5;
If x = 2, then y = 2(2) - 5, or y = -1
Writing the solutions as coordinate pairs: (0, -5) and (2, -1)
Answer:
And we can find this probability using the normal standard table or excel:
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 amount of ml 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:
Answer:
38 or 76 but i think its 76
Step-by-step explanation:
Answer:
7 hours
They worked together for 7 hours ($350 + $120)
Ok <span>One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 </span>
<span>a=4; b=5; </span>
<span>4^2 + 5^2 = c^2 </span>
<span>16 + 25 = c^2 </span>
<span>41 = c^2 </span>
<span>c = √41 </span>
<span>Therefore, the hypotenuse has a length of √41. </span>
<span>To find the sinθ, you take the opposite over the hypotenuse. </span>
<span>Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. </span>
<span>Your answer is 5/√41. </span>
<span>This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1). </span>
<span>This gives you the answer
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