Answer:
120
Step-by-step explanation:
You break the first statue
There are 5 different ways since there are 5 statues.
Now there are 4 statues left
There are 4 different ways since there are 4 statues.
Now there are 3 statues left
There are 3 different ways since there are 3 statues.
Now there are 2 statues left
There are 2 different ways since there are 2 statues.
Now there is 1 statues left
There is 1 different ways since there is 1 statue.
5*4*3*2*1
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Answer: 11
Step-by-step explanation: write the equation.
2(x+4)=30
Divide by 2
x+4=15
Subtract 4
x=11
- Your answer is no solution.
- Because if we transpose 10x to the left hand side with a change in the symbol, then it will become 0.
- 10x - 1 = 10x +4
- or, 10x - 10x = 4 + 5
- or, 0 = 9
- Hence, the equation has <em><u>no solution</u></em>.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
0.8152 ≤ p ≤ 0.8608
579
Step-by-step explanation:
Given the following :
Samples size n = 1000
Deaths within 10 years, p = 838
α = 95%
Construction a two way confidence interval:
p ± Zα/2 * √p(1-p) / n
point estimate p = 838/n = 838/1000 = 0.838
Z0.05/2 = Z0.025 = 1.96
0.838 - 1.96√0.838(1-0.838) / 1000
0.838 - 1.96*0.0116514 = 0.8152
0.838 + 1.96√0.838(1-0.838) / 1000
0.838 + 1.96*0.0116514 = 0.8608
0.8152 ≤ p ≤ 0.8608
b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Error (E) = 0.03
To find the samome size, use the relation:
n = (Zα/2 / E)² * p(1-p)
n = (1.96/0.03)² * 0.838(1-0.838)
n = (1.96/0.03)² * 0.838 * 0.162
n = 4268.4444 * 0.838 * 0.162
n = 579.46
n = 579