Answer:
Step-by-step explanation:
Part (a) the probability that two people have a birthday on the 9th of any month.
Neglecting leap year, there are 365 days in a year.
There are 12 possible 9th in months that make a year calendar.
If two people have birthday on 9th; P(1st person) and P(2nd person).
Part (b) the probability that two people have a birthday on the same day of the same month
P(2 people selected have birthday on the same day of same month) + P(2 people selected not having birthday on same day of same month) = 1
P(2 people selected not having birthday on same day of same month):
P(2 people selected have birthday on the same day of same month) 
The true statement about Sam’s conjecture is that the conjecture is not correct
<h3>How to determine if Sam’s conjecture is correct or not?</h3>
Sam’s conjecture is given as:
For x ≤ - 2
It is true that x^5 + 7 > x^3.
The inequality x ≤ - 2 means that the highest value of x is -2
Assume the value of x is -2, then we have:
(-2)^5 + 7 > (-2)^3
Evaluate the exponents
-32 + 7 > -8
Evaluate the sum
-25 > -8
The above inequality is false because -8 is greater than -25 i.e. -8 > -25 or -25 < -8
Hence, the true statement about Sam’s conjecture is that the conjecture is not correct
Read more about conjectures at
brainly.com/question/20409479
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You have to use the y=mx+b formula to find the equation
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Your answer is B (3, -14)
Good Luck with your Test!!
