B=2
for every box of nails the carpenter can make 2 bird houses
Answer:
17.1
Step-by-step explanation:
Plug in -1 for x, this gets you -4.
Solve 2^-4 and get .0625.
Add .0625 to 17 and get 17.0625.
The question says answer to the nearest tenth so you round the 6 up to a 1 giving you 17.1
Answer:
1) the constant of variation is 1/6
2) b=80 when A=10
3)the value of k is 40
4) x=0.032 when y = 10
Step-by-step explanation:
1)m varies directly as y
k is the constant of variation
We are given that m is 6 when y is 36
Hence the constant of variation is 1/6
2)A varies directly as b.
k is the constant of variation
We are given that A = 3 when b = 24
Substitute A=10
80=b
So, b=80 when A=10
3)y varies inversely with x
k is the constant of variation
We are given that y = 5 when x = 8
So, the value of k is 40
4)y varies inversely with x
k is the constant of variation
We are given that k=0.32
Substitute y = 10
So, x=0.032 when y = 10
F(x) = 2(x)² + 5√(x+2)
f(0) = 2(0)² + 5√(0+2)
= 0 + 5√2
= 5√2
= 7.07 (nearest hundredth)
Answer: 7.07
Answer:
0.2264
0.1795
0.2264
Step-by-step explanation:
Given that:
p = 19% = 0.19
Sample size (n) = 12
Using binomial distribution formula :
p(x = x) = nCx * p^x * (1 - p)^(n-x)
1 - p = 1 - 0.19 = 0.81
Exactly 3:
p(x = 3) = 12C3 * 0.19^3 * 0.81^9
p(x = 3) = 220 * 0.001029499103502116970939
= 0.2264
B.) Atleast 4 :
P( x ≥ 4) = p(4) + p(5) + p(6) + p(7) + p(8) + p(9) + p(10) + p(11) + p(12)
To save time, we can use a binomial probability calculator :
P( x ≥ 4) = 0.1795
C.) Less than 8:
P( x < 8) = p(7) + p(6) + p(5) + p(4) + p(3) + p(2) + p(1) + p(0)
P(x < 8) = 0.9995