Answer:
$47
Step-by-step explanation:
$120 starting out and he spent $45 + $28 of that $120
so 120-45+28=47
Answer:
Step-by-step explanation:
Factorise the denominator of the second fraction
y² - 1 = (y - 1)(y + 1) ← difference of squares
To obtain a common denominator
multiply numerator/ denominator of first fraction by (y + 1)
= - ← subtract numerators leaving the common denominator
=
=
= ← cancel common factor (y - 1) on numerator/denominator
=
Answer:
Therefore the magnitude of the applied force is N.
Step-by-step explanation:
Torque: Torque is the cross product of force and the distance of applied force from the rotational axis.
Where is angle between F and r.
Newton-meter is the S.I unit of torque.
Along the positive y axis, the wrench lies .
The length of wrench is 0.1 m.
[ since the vector lies on y axis]
The direction of applied force is along the vector <0,2,-4>.
Then the angle between and <0,2,-4> = the angle between F and .
We know that,
We know that,
Here = 100 N-m, and
Now
Therefore the magnitude of the force is N.
What measure of spread is used when your data distribution is symmetrical?
Answer: When the data distribution is symmetrical, the appropriate measure of spread is standard deviation. The reason is both sides of symmetrical distribution will have same spread.
Symmetrical distribution: Symmetrical distribution is one when both sides of the distribution are identical. The symmetrical distribution is bell shaped and mean, median and mode are equal in symmetrical distribution.
Standard deviation: Standard deviation is the measure of dispersion. It measures the deviation of a set of numbers from its mean. It is defined as the square root of means of the squared deviations from the arithmetic mean