Answer:
0.001831055
Step-by-step explanation:
Here, n = 16, p = 0.5, (1 - p) = 0.5 and x = 14
As per binomial distribution formula P(X = x) = nCx * p^x * (1 - p)^(n - x)
We need to calculate P(X = 14)
P(x =14) = 16C14 * 0.5^14 *(1-0.5)^2
= 120 * 0.5^14 *(1-0.5)^2
= 0.001831055
Answer:
The polynomial is 
Leading coefficient is 1
Step-by-step explanation:
We need to determine the leading coefficient of polynomial p having roots
-1,1 and 2 and p(3)=24
Roots of polynomial are: -1,1,2
We can write them as:
x=-1, x=1, x=2
x+1=0, x-1=0, x-2=0
or:
(x+1)(x-1)(x-2)=0
Multiplying the terms to find the polynomial:
So, The polynomial is
The leading coefficient is the coefficient with highest power So, in polynomial we have highest power 
so, leading coefficient is 1
Answer:
cost of a taco: $1.25
cost of a burrito: $2.50
Step-by-step explanation:
Let the cost of a taco be $t and the cost of a burrito be $b.
t +3b= 8.75 -----(1)
4t +2b= 10
Divide both sides by 2:
2t +b= 5
Making b the subject of formula:
b= 5 -2t -----(2)
Substitute (2) into (1):
t +3(5 -2t)= 8.75
Expand:
t +3(5) +3(-2t)= 8.75
t +15 -6t= 8.75
t -6t= 8.75 -15
-5t= -6.25
t= -6.25 ÷(-5)
t= 1.25
Substitute t= 1.25 into (2):
b= 5 -2(1.25)
b= 5 -2.5
b= 2.50
Thus, the cost of a taco is $1.25 and the cost of a burrito is $2.50.
The coordinates of image of vertex D after a reflection across the x-axis is (5, 3).
294
You can draw 2 blocks representing two one hundreds.
Draw 9 ten columns.
Draw 4 one squares.
