Answer:
170
Step-by-step explanation:
There are three times as many teaching assistants as research assistants. Find the number of research assistants employed by the university. Hence the number of research assistants is 170.
Answer:
4 2/3
Step-by-step explanation:
8×21=168
168÷36(1 yard in inches)=4 with a remainder of 24
24/36 can both be divided by 12 so its now been reduced to 2/3
Answer:
Rectangle
Step-by-step explanation:
The shape is of a rectangle who has got two pairs of opposite sides that are parallel and two pairs of sides that are of equal length of each other with all the four right angles that makes up total angle of 360 degrees in total. It can be acquired that the area which is equal to length multiply by breadth.
Calculation,
A length of the rectangle is equal to each other,
Assuming it to be 3cm,
Breadth of it is equal to each other,
Assuming that to be 2cm,
Length x Breadth = Area
3 x 2 = 6cm to the power 2.
Answer: 491 cards
Step-by-step explanation:
Given
Steve had 10 more cards than Jeff
Suppose Jeff has x cards
So, steve has x+10 cards
Steve handover his cards to Jeff
Now, Jeff has x+x+10=2x+10 cards
It must be equal to 992

Jeff started with 491 cards
Answer:
There is a 24.3% probability that one of the calculators will be defective.
Step-by-step explanation:
For each calculator, there are only two possible outcomes. Either it is defective, or it is not. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
The probability of a defective calculator is 10 percent.
This means that 
If 3 calculators are selected at random, what is the probability that one of the calculators will be defective
This is P(X = 1) when n = 3. So


There is a 24.3% probability that one of the calculators will be defective.