To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate. So in this case, divide the numerator and denominator of 70/5 by 5, to get 14/1, or 14 students per class, which is the unit rate. <— that’s your answer! :)
So the eastbound train travels at 90 miles per hour in the complete opposite direction to the westbound equivalent, which travels at 80 miles per hour. Therefore, per hour, they get 170 miles away from each other. Since we are working out how long it would take for them to be 204 miles apart:
204 / 170 = 1.2 Hours, or 1 hour and 12 minutes.
Hope I helped!
X = 47
because
100-6= 94
94 divided by 2 = 47
The correct option is B) 67.4%
<h3>What is the z- score table?</h3>
A standard normal table (also called the unit normal table or z-score table) is a mathematical table for the values of ϕ, indicating the values of the cumulative distribution function of the normal distribution. Z-Score, also known as the standard score, indicates how many standard deviations an entity is, from the mean.
Given here, P(probability that a worker is a college graduate) = 32%
= 0.32
q (probability that a worker is not a college graduate) is 1-0.32 = 0.68
now μ(mean) = n×p
= 50×0.32
= 16
Again standard deviation σ = 
σ = 
σ = 3.2985
now P(x<17.5) = P((x-μ)/σ <(17.5-16)/3.2985)
= P(z<0.45)
= 0.674 [using z table]
= 67.4%
Hence option 2 is the correct answer
Learn more about z-table here:
brainly.com/question/29283457
#SPJ2
Answer:
To find the intercepts, equate one variable to
0
and solve for the other variable:
y-intercept
Set
x
to
0
and solve for
y
giving:
3
x
−
5
y
=
15
becomes:
(
3
⋅
0
)
−
5
y
=
15
0
−
5
y
=
15
−
5
y
=
15
−
5
y
−
5
=
15
−
5
−
5
y
−
5
=
−
3
y
=
−
3
or
(
0
,
−
3
)
x-intercept
Set
y
to
0
and solve for
x
giving:
3
x
−
5
y
=
15
becomes:
3
x
−
(
5
⋅
0
)
=
15
3
x
−
0
=
15
3
x
=
15
3
x
3
=
15
3
3
x
3
=
5
x
=
5
or
(
5
,
0
)
Next. we can plot the two points on the grid:
graph{((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
Then, draw a line through the two points:
graph{(3x - 5y -15)((x-5)^2+(y)^2-0.125)((x)^2+(y+3)^2-0.125)=0 [-20, 20, -10, 10]}
