X+y = 42
x-y = 8
x = 8+y
Substitute it in 1st equation,
8+y+y=42
2y = 34
y = 17
Substitute it in 1st eq.,
x = 42-17 = 25
So, the two numbers are 25 & 17
Hope this helps!
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula
. Plugging in the numbers you get
=1.7748.
Answer:
Smallest divisible number = 660
Step-by-step explanation:
Given:
Numbers
10, 11, 12
Find:
Smallest divisible number
Computation:
Factor
10 = 2×5
11 = 11×1
12 = 2×2×3
Smallest divisible number = 2×2×3×5×11
Smallest divisible number = 660
Answer:
(a) Co-ordinate rule is
and 
(b) Co-ordinates of B' and C' are
and
respectively.
Step-by-step explanation:
(a)
Here, the co-ordinates of A
are translated to A'
.
For the co-ordinates A and A',
and 
So, x value of A has shifted to right by 6 units and y value of A has shifted 8 units down.
Hence, the co-ordinate rule that maps ΔABC onto ΔA'B'C' is:
and
.
(b)
Using the co-ordinate rule, we can find the co-ordinates of B' and C'.
For B,
and
.
So,
of B' is 
And,
of B' is
.
Therefore, co-ordinates of B' are
.
For C,
and
.
So,
of C' is 
And,
of C' is
.
Therefore, co-ordinates of C' are
.