Answer:
B: c-b = <9. -3>
Step-by-step explanation:
c-b = <8, 4> - <-1, 7>
= <8-(-1) ; 4-7> (we substract each coordinates together)
=<9, -3>
Answer:
Option A does not give the right expression.
Step-by-step explanation:
On the number line if there are two points P(a) and Q(b) given by coordinates a and b, then the distance between those two points will be given by
d = |a - b| ......... (1)
which is independent of the position of the points.
Therefore, if point A is at - 3.5 and point B is at 7.5, then the distance between point A and point B will be given by |7.5+3.5| or |- 3.5-7.5| or |7.5-(-3.5)|, but not by |7.4-3.5|.
Hence, option A does not give the right expression. (Answer)
Answer:
Diameter = 12.00 in
Step-by-step explanation:
Given:
Capacity of water balloon (V) = 904.78 in³
Let the diameter of the water balloon be 'd' inches.
Assuming the water balloon is spherical in shape.
We know that, volume of a sphere is given as:
Where 'r' is the radius of the sphere.
Use π = 22/7
Now, plug in the given values and solve for radius 'r'. This gives,
![904.78=\frac{4}{3}\times \frac{22}{7}\times r^3\\\\904.78=\frac{88r^3}{21}\\\\88r^3=904.78\times 21\\\\r^3=\frac{19000.38}{88}\\\\r^3=215.9134\\\\r=\sqrt[3]{215.9134}=5.9992\ in](https://tex.z-dn.net/?f=904.78%3D%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B22%7D%7B7%7D%5Ctimes%20r%5E3%5C%5C%5C%5C904.78%3D%5Cfrac%7B88r%5E3%7D%7B21%7D%5C%5C%5C%5C88r%5E3%3D904.78%5Ctimes%2021%5C%5C%5C%5Cr%5E3%3D%5Cfrac%7B19000.38%7D%7B88%7D%5C%5C%5C%5Cr%5E3%3D215.9134%5C%5C%5C%5Cr%3D%5Csqrt%5B3%5D%7B215.9134%7D%3D5.9992%5C%20in)
Now, diameter is equal to twice of radius. Therefore,
Therefore, the diameter of the balloon is 12.00 inches.
Answer:
If many random samples of size 50 are selected from all households in the city, approximately 99% of the intervals would capture the true mean household income.
Step-by-step explanation:
EDGE2021
Answer:
42
Step-by-step explanation:
HJ=HT+TJ
HJ=25+17=42
HJ=42
