Answer:
y = x+3
Step-by-step explanation:
First step is to find the slope
m = ( y2-y1)/(x2-x1)
= ( 7-9)/(4 - 6)
= -2 / -2
= 1
The we can put is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = 1x+b
Putting in one of the points
9 = 1*6+b
Subtracting 6
9-6 = b
3=b
y = 1x+3
y = x+3
Answer:
Step-by-step explanation:
Ok so umm I literally have no idea or I’m too lazy but good luck
Answer:
5. A) two solutions
6. one solution
Step-by-step explanation:
5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:
b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number
When the discriminant is positive, there are two real solutions.
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6. The equation factors as ...
0 = 3(x +3)^2
This will have one real solution at x=-3.
Answer:
Probability both are nervous around strangers = 0.0049
Probability at least one is nervous around strangers = 0.1302
Step-by-step explanation:
Let probability a person selected in the population is nervous around strangers = P
P = 7%
P = 
P = 0.07
Let probability a person selected in the population is not nervous around strangers = P'
P' = 1 - P
P' = 1 - 0.07
P' = 0.93
(i) probability of the first person selected is nervous around strangers = P
probability of the second person selected is nervous around strangers = P
Probability both are nervous around strangers = (P × P)
= 0.07 × 0.07
= 0.0049
(ii) Probability at least one is nervous around strangers = ( probability the first person is nervous around strangers AND the second person is not nervous around strangers ) OR ( probability the second person is nervous around strangers AND the first person is not nervous around strangers)
This implies,
Probability at least one is nervous around strangers = (P × P') or (P × P')
= (0.07 × 0.93) + (0.07 × 0.93)
= 0.0651 + 0.0651
= 0.1302
Chances of drawing a boy the first time = 12/16.
<span>Chances of drawing a boy the second time = 11/15. </span>
<span>Chances of drawing a boy the third time = 10/14. </span>
<span>(12/16)(11/15)(10/14) = about 39.3%.</span>