Answer:
5 ; 0.728 ; 0.00002
Step-by-step explanation:
According to the Central limit theorem, for a normal distribution, the population mean equals the sample mean., Hence the population mean, μ = sample mean = 5
The standard deviation of sampling distribution :
Standard deviation / sqrt(n)
σ / sqrt(n)
σ = 3 ; n = 17
3 / sqrt(17)
3 / 4.1231056
= 0.7276
= 0.728
3.)
P(x < 2) :
Using :
Z = (x - mean) ÷ s/sqrt(n)
P(x < 2) = (2 - 5) ÷ 3/sqrt(17)
P(x < 2) = -3 / 0.7276068
P(x < 2) = - 4.1231060
Z < - 4.123 = 0.00002 (Z probability calculator).
<span>A. 9w^33-y^12
B. 18p^15-q^21
C. 36a^22-b^16
D. 64c^15-a^27 -----> 64c^15 = (4c^5)^3; a^27 = (a^9)^3
Answer: D. </span>64c^15-a^27
Answer:
The cost for 1 chair is $2.75 and the cost for 1 table is $8.75
Step-by-step explanation:
Use the elimination method of linear equations to find your answer.
Our equations for this problem are:
3c+5t=52 and 9c+7t=86
1. Multiply the entire first equation by -3.
-3(3c+5t=52)
2. Simplify the equation from above:
-9c-15t=-156
3. Stack the two equations on top of each other and add/subtract:
-9c-15t=-156
9c+7t=86
4. You should be left with -8t=-70. Simplify this to find the value of t:
t=8.75
5. Plug the value of t into any of the original equations and solve for c.
3c+5(8.75)=52
6. Simplify the equation above:
3c+43.75=52
7. Subtract 43.75 from both sides of the equation:
3c=8.25
8. Divide both sides by 3 to get your c value:
c=2.75
Answer:
-1
Step-by-step explanation:
-3t+3=6
-3t=3
t=-1
Hello, here is the answer fellow student ..... 549÷9=61
