The coefficient of these two number are -24 and 7. :)
Answer:
a) 31.38%
b) 28.44%
c) 33.33%
d) 73.46%
e) 53.89%
Step-by-step explanation:
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(See picture attached for sub-totals)
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a) What is the probability of selecting a student whose favorite sport is skiing?
P = 171/545 = 0.3138 = 31.38%
b) What is the probability of selecting a 6th grade student?
P = 155/545 = 0.2844 = 28.44%
c) If the student selected is a 7th grade student, what is the probability that the student prefers ice-skating?
P = 70/210 = 0.3333 = 33.33%
d) If the student selected prefers snowboarding, what is the probability that the student is a 6th grade student?
P = 155/211 = 0.7346 = 73.46%
e) If the student selected is an 8th grade student, what is the probability that the student prefers skiing or ice-skating?
P = 180/(171+163) = 180/334 = 0.5389 = 53.89%
Answer:
Step-by-step explanation:
A right angle triangle is formed.
The length of the guy wire represents the hypotenuse of the right angle triangle.
The height of the antenna represents the opposite side of the right angle triangle.
The distance, h from base of the antenna to the point on the ground to which the antenna is attached represents the adjacent side of the triangle.
To determine h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
41² = 32.8² + h²
1681 = 1075.84 + h²
h² = 1681 - 1075.84 = 605.16
h = √605.16
h = 24.6 m
To determine the angle θ that the wire makes with the ground, we would apply the the cosine trigonometric ratio.
Cos θ = adjacent side/hypotenuse. Therefore,
Cos θ = 24.6/41 = 0.6
θ = Cos^-1(0.6)
θ = 53.1°
Answer:
About $1.82
Step-by-step explanation:
Answer:
y<
x+1 is inequality shown on graph.
Step-by-step explanation:
The graph shows representation of inequality,
Here, Line passes through points say, A(3,0) and B(0,1)
The slope of line is given by m=
m=
m=
m=
and Y-intercept is c=1
The equation of line is given by y=mx+c
y=
x+1 is equation of line in graph.
To decide which side you are going to shaded area on the graph
Take test of origin.
If (0,0) is statisfy the equation then, shaded the graph towards the origin.
Let suppose,
Take, y<
x+1
0<
(0)+1
0<1
TRUE,
Therefore, y<
x+1 is inequality shown on graph.