Answer:
y= -3/2x + 4
Step-by-step explanation:
hope this helps :)
Answer:
The price per book that Mary purchased is $12
Step-by-step explanation:
Mary's total cost can be expressed as;
C=(p×n)+s
where;
C=total cost
p=price per unit of books
n=number of books purchased
s=shipping fee
In our case;
C=$55.25
p=unknown
n=4
s=$7.25
replacing;
55.25=(4×p)+7.25
4 p+7.25=55.25
4 p=55.25-7.25
4 p=48
p=48/4
p=12
The price per book that Mary purchased is $12
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Answer: n = 14
Step-by-step explanation: margin of error = critical value × σ/√n
Where σ = population standard deviation = 1
n = sample size = ?
We are to construct a 99% confidence interval, hence the level of significance is 1%.
The critical value for 2 tailed test at 1% level of significance is gotten from a standard normal distribution table which is 2.58
Margin of error = 0.7
0.7 = 2.58×1/√n
0.7 = 2.58/√n
By cross multipying
0.7×√n = 2.58
By squaring both sides
0.7^2 × n = 2.58^2
0.49 × n = 6.6564
n = 6.6564/0.49
n = 14
