So average=(total of scores)/(number of tests)
needs at least average of 70
at least is represented as greater than or equal to or the sign (<u>></u>)
70<u>></u>(total)/(number oftests)
since we have 3 tests, we have to have 3 scores so
70<u>></u>(x+y+z)/3
he scored 85 and 60
70<u>></u>(x+85+60)/3 (doesn't matter which to subsitute)
70<u>></u>(x+145)/3
multiply obht sides by 3
210<u>></u>x+145
subtract 145 from both sides
65<u>></u>x
he needs to get at leas 65 on his third test
Answer:
Answer
4.0/5
20
JannetPalos
While representing 3 - 4 on the number line, from the starting point 0, we need to show an arrow to three numbers on the right.
Since - 4 is the additive inverse of 4, from the point where the first arrow pointed, we should go 4 points to the left.
Hence, the number line which shows an arrow from 0 to 3, and then from 3 to negative 1 is the correct one.
Step-by-step explanation:
Hope that helps!!
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
The answer is 5:12
Step-by-step explanation:
It is 5:12 because We already know that 7 pens are blue. To find the number of red pens we must subtract 12 - 7 and get 5 as the number of red pens. Now knowing the no. of red pens and total number we can say the ratio of red pens to total no. is 5:12
Answer:
As with any function, the domain of a quadratic function f(x) is the set of x -values for which the function is defined, and the range is the set of all the output values (values of f ). Quadratic functions generally have the whole real line as their domain: any x is a legitimate input. The vertex will be the minimum (lowest point) of the graph if and the maximum (highest point) of the graph if
