Answer:
1/4
Step-by-step explanation:
1st: you need to make a common denominator for 2/3 and 11/12 that would be 12, so you would keep 11/12 how it is but multiply the numerator and the denominator by 4 to get it to 12.
You would have ;
8/12+___=11/12
Then just do 11/12-8/12
so that would simplify out to 1/4
x = # of days
y = total calories
Simba = 1000 + 140x = y
Cuddles = 2650 - 190x = y
Let's set both of these equations equal to each other
1000 + 140x = 2650 - 190x
Add 190x to both sides and subtract 1000 from both sides.
330x = 1650
Divide each side by 330
x = 5
After 5 days, they will be consuming the same amount of calories.
To find out how many calories they will be consuming, let's plug 5 into our Simba equation.
1000 + 140(5) = y
Multiply 140 by 5
1000 + 700 = y
Simplify
1700 = y
They will be consuming 1,700 calories each day.
The probability that all of them will be defective is 0.0000759375
<em><u>Explanation</u></em>
The general <u>Binomial Probability</u> formula is....
, where p is the probability of success, n is the total number of trials and r is the desired numbers of trials.
Given, the probability that a computer will be defective is 0.15 , so p = 0.15
Five computers are manufactured and we need to find the probability that all of them will be defective. That means, n = 5 and r = 5
Now according to the above formula....
So, the probability that all of them will be defective is 0.0000759375
The density of the gold sample is 19.3g/cm³
Let the mass of the gold sample be represented by m
m = 579 g
Let the volume of the gold sample be represented by V
V = 30 cm³
Let the density of the gold sample be represented by ρ
The formula for the density is:
The density of the gold sample is 19.3g/cm³
Learn more here: brainly.com/question/17780219
Answer:
After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.
After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.
After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.
Step-by-step explanation:
Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.
