Answer:
The sum is a binomial with a degree of 6
Step-by-step explanation:
we have

Group terms that contain the same variable



The sum is a binomial ( two terms) with a degree of 6
has a degree of 6 (x has an exponent of 1, y has 5, and 1+5=6)
Answer:
The margin of error for the survey is 0.016
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1024
Sample proportion:

We have to find the margin of error associated with a 90% Confidence interval.
Formula for margin of error:


Putting the values, we get:

Thus, the margin of error for the survey is 0.016
Answer:
The correct answer is option B. 17
Step-by-step explanation:
It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°
To find the value of m
From the figure we can see that, triangle WYZ is an isosceles triangle.
ZW = ZY
Then <YXZ = <WXZ = 90°
It is given ∠YXZ = (6m – 12)°
(6m – 12)° = 90°
6m = 90 + 12 = 102
m = 102/6 = 17
Therefore the value of m = 17
The correct answer is option B. 17
Answer:
After one second, 130 ft
After two second , 60 ft
Step-by-step explanation:
Both boats are moving towards each other,
Speed of first boat = 40 ft/min.
Speed of second boat = 30 ft/min.
So, In one Second they must have covered a total distance of 40 + 30 ft
= 70 ft.
Total width of the lake = 200 ft
So, Distance remained between them after one second = 200 - 70 = 130 ft.
After two seconds , First boat will move my 80 ft and second one will move by 60 ft
So, distance between them will decrease by 140 ft.
Distance between the boats after two seconds = 60 ft.
Answer:
(–1.4, 1.5)
Step-by-step explanation:
The blue line and the purple line are the lines corresponding to the equations of interest. Their point of intersection is in the 2nd quadrant, so is nearest to ...
(–1.4, 1.5)
__
It can be useful to understand that for equations in standard form:
ax +by = c
the x- and y-intercepts are ...
- x-intercept: c/a . . . . value of x for y = 0
- y-intercept: c/b . . . . value of y for x = 0
__
For the equations of interest, the first has intercepts of ...
x=2/3, y=1/2 . . . . graphed line makes a 1st-quadrant triangle with the axes (blue line)
And the second has intercepts of ...
x=-1, y=-4 . . . . graphed line makes a 3rd-quadrant triangle with the axes (purple line)
Since the purple line has a steeper slope, the point of intersection of the lines will be in the 2nd quadrant. There is only one 2nd-quadrant answer choice: (-1.4, 1.5).