False, the range is just determined by minising the lowest from the highest, but the variables can still get you the same mean, which can lead to the same standard deviation
Answer:


Step-by-step explanation:

( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒
Collect like terms
⇒
Subtract 18 from 50
⇒
Divide both sides of the equation by 2
⇒
Calculate
⇒
The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
⇒
Multiply the numbers
⇒
Add the numbers
⇒
Move constant to R.H.S and change it's sign
⇒
Subtract 98 from 180
⇒
Value of m<AFD = 82
Hope I helped!
Best regards!!
The total amount of angles in quadrilateral is 360.so:
z=360-(122+79+90)
z=360-291
z=69
Answer:

Step-by-step explanation:
we know that
The roots of the quadratic function (x-intercepts) are
x=-1 and x=5/3
so
we can write the equation of the parabola as

where
a is a coefficient
Remember that
The parabola pass through the point (5,40)
substitute the value of x and the value of y of the ordered pair in the quadratic equation and solve for a
x=5, y=40



substitute

apply distributive property

see the attached figure to better understand the problem