To get the slope, the equatio is y2-y1 over x2-x1 solve this by substituing the numbers into the equation
Answer:
11.1
Step-by-step explanation:
To find the side measurement we have to use trig, and the trig function Cosine, or cos. We use the because cosθ=
. So cosθ=
, then to isolate x multiply both sides by 15. Now we have 15cos42=x, plugging this into the equation we get that x=11.1
Answer:
0.172 ; 0.0884 ; 0.9115
Step-by-step explanation:
Proportion or those who feel secure, p = 0.45
Sample size, n = 8
Using the binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
A.) p(x = 5)
P(x =5) = 8C5 * 0.45^5 * 0.55^3
P(x = 5) = 56 * 0.0184528125 * 0.166375
P(x = 5) = 0.1719248540625
P(x = 5) = 0.172
B.) P(x > 5)
P(x > 5) = P(x = 6) + P(x = 7) + P(x = 8)
P(x > 5) = 0.0703 + 0.0164 + 0.0017
P(x > 5) = 0.0884
C.) P( ≤ 5) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4) + P(x = 5)
Using the binomial probability calculator to obtain a direct solution :
P( ≤ 5) = 0.9115
Answer:
<h2>5/18 pounds per person.</h2>
Step-by-step explanation:
Givens
- Karen split (divides) 5/6 pounts of candy among 3 people.
The problem already says what to do, we need to divide because that's what Karen is doing, she is spliting or dividing the pounds of candy for 3 people. So, we just need to divide 5/6 by 3,

Therefore, the unit rate in pounds per person is 5/18 pounds, because Karen divided 5/6 pounds amon 3 people.
The correct answer would be C, or x > -2.
Because the line is going up from -2, we know that x is going to be greater than 2 for a fact.
We can tell that it wont be greater than or equal to because the circle is clear and not filled.
<h3><u>Thus, C is the correct answer.</u></h3>