Answer:
Step-by-step explanation:
<u>Step 1: Set the second equation into the first
</u>
<u>Step 2: Solve the second equation
</u>
Answer:
Answer:
the awnser is 12,000, mealine has 12000
Step-by-step explanation:
Here,
let width(b)be x then,
length (l)=9cm+x
area =112 sq cm
now,
area of rectangle=l*b
or, 112=(9+x)x
or, 112=9x+x^2
or, 0=x^2+9x-112
or, 0=x^2+(16-7)x-112
or, 0=x^2+16x-7x-112
or, 0=x(x+16)-7(x+16)
or, 0=(x-7)(x+16)
either,
0=x-7
or,7=x
x=7cm
Or,
0=x+16
or, -16=x
x= -16[impossible,as distance is never negative] so,
x=7cm
therefore,length = 7cm + 9 cm = 16cm and width = 7cm.
;)
Answer:
Randomly selected adult has an IQ less than 136 is 0.9641
Step-by-step explanation:
It is given that, it is normal distribution with mean 100 and SD as 20.
So, let's use the formula of z-score
z=
For this problem,
x= 136
Plug in this value into the formula
z-score=
=1.8
Now, use z-score table to find the probability
Find the corresponding value for the row 1.8 and the column 0.00, we do get 0.9641
So, Randomly selected adult has an IQ less than 136 is 0.9641
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)
