Answer:
Step-by-step explanation:
sin 30+tan²(60)+sec²(45)
=1/2+ (√3)^2+(√2)²
=1/2+3+2
=5 1/2
=5.5
Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0 or (0,y))
For lines to be parallel, their slopes have to be the SAME.
The given line's slope is 5/3, so the parallel line's slope is also 5/3
y = 5/3x + b
To find "b", plug in the point (3,6) into the equation
y = 5/3x + b
6 = 5/3(3) + b
6 = 5 + b
1 = b
y = 5/3x + 1
Answer:
C.It is a one-tailed test since the alternative hypothesis states that the parameter is greater than the hypothesized value.
Step-by-step explanation:
Let p be the percentage of students enrolled in an introductory Chemistry class dropped before the midterm. Then null and alternative hypotheses are:
: p=10%
: p>10%
The alternative hypothesis states that the parameter is greater than the hypothesized value.
Answer:
15. {1, 3, 5, 7}
16. nothing empty set { }
17. {0, 1, 2, 4, 5, 6, 7, 8, 10}
Step-by-step explanation:
the U means combining the sets that fit the criteria
the upside down U means what fits both criteria
for 16, it asks for contradicting criteria so there is nothing in the set.
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First, we know that angle B is congruent to angle E.
2x + 40 = 5x + 10
2x + 30 = 5x
30 = 3x
x = 10
Angle B and Angle E = 60 degrees
Angle C = 14 degrees
Remember that the interior angles of a triangle always add up to 180 degrees. Now that we know 2 of the 3 angles of these triangles, and because they are congruent, all that's left to do is find Angle A/D by setting up a simple equation.
60 + 14 + D = 180
74 + D = 180
D = 106
Angle D = 106 degrees
Hope this helps!
