Answer:
x = -8
y = 9
Step-by-step explanation:
to solve this expression using simultaneous equation, we would say let
y =9............................................. equation 1
6x + 5y =-3............................................equation 2
substitute equation 1 into equation 2
-3 = 6x + 5y............................................equation 2
6x + 5(9) = -3
6x + 45 = -3
collect the like terms
6x = -3-45
6x = -48
divide both sides by the coefficient of x which is 6
6x/6 = -48/6
x = -8
therefore y = 9
x = -8
Answer:
Range values are:
{-11, 1, 4, 10, 25}
Step-by-step explanation:
Domain values are the possible x values that can be entered into the function, or the inputs. Range values are the y values, or the outputs. By inserting every value in the set into the function, we get the outputs (y values)
-15 + 4 = -11
-3+4 = 1
0 + 4 = 4
6 + 4 = 10
21 + 4 = 25
Remember to put them in order.
In the binomial expansion of (0.30+0.70)²⁰ the coefficient is ²⁰C₁₀=184756 for x=10 and we have 0.30¹⁰×0.70¹⁰ for the pq values where q=1-p. This comes to about 0.03. So the statement p(x=10)=0.50 is false, answer b.
<span>Let X be the number of success in n trials. X has the binomial distribution with n = 4 trials and success probability p = 0.1666667 .</span>
Answer: a. 3.4t (miles)
b. 2.125 miles
c. t = 1.6 hours
Step-by-step explanation:
A) We will use the relation:
Distance = Speed × Time
Distance= 3.4 × t
= 3.4t (miles)
B) If t= 5/8
Distance d= 3.4 × 5/8
= 3.4 × 0.625
= 2.125 miles.
C) If the distance d= 5.44,
Time will be:
d= 3.4t, and we know that d=5.44
Therefore, 5.44 = 3.4t
t = 5.44/3.4
t = 1.6 hours
