Answer:
D or answer 4 y=-5/2x+7
Step-by-step explanation:
Well we can first start of by finding the y-intercept.
Note that when x=0, you can find your y-intercept.
Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.
So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.
Please know that in the equation:
y = mx + b
y = y-coordinate or any given point
mx = slope
b = y-intercept
Now we must find slope
To find the slope we need to do:
(y2 - y1) / (x2 - x1) or rise/run
The two coordinates I choose to use is (0, 7) and (6, -8).
(-8 - 7) / (6 - 0) = -5/2
-5/2 is the slope
Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.
Answer: D or answer 4
The answer is 0.24
To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:
1. The probability that the pianist will be a boy,
2. The probability that the alternate will be a girl.
So, let's calculate these probabilities:
There are in total 5 children:
2 boys + 3 girls = 5 children.
1. The probability that the pianist will be a boy is 2 boys out of 5 children, which is 2/5.
2. The probability that the alternate will be a girl is 3 girls out of 5 children, which is 3/5.
<span>The probability that the pianist will be a boy and the alternate will be a girl is:</span>
<span>2/5 </span><span>× 3/5 = 6/25</span>
<span>6/25 </span><span>× 4/4 = 24/100 = 0.24</span>
Answer:
C, 53.68 units
Step-by-step explanation:
tan 54° = 
39 tan 54° = x
x= 53.6788949 (just plug it in a scientific or graphing calculator)
x≈53.68
Go 2 openstudy hope that helped
Answer:
x = 145°
Step-by-step explanation:
We know that y = 98°, so we can find ∠DBC:
180°-y = ∠DBC
180°-98° = 82°
We also know that z = 63°, therefore we can apply <u>exterior angle of triangles</u> to find x.
∠DBC + z = x
82°+63° = x
x = 145°
