Y=mx+b
m= slope
so -5 is the slope of the given line
Answer:
-The equation r+b-33 represents the total number of marbles
-There 9 black marbles
-There are 24 red marbles
Step-by-step explanation:
The bag contains 33 red and black marbles. Let the number of black marbles be b and that of red marble to r
Total number of marbles will be
b+r = 33 i.e b+r-33 = 0... (1)
If the number of red marbles is 6 more than double the number of black marbles, this can be represented as;
r = 6+ 2b... (2)
Substituting 2 in eqn 1 we have;
b + 6+2b = 33
3b = 27
b = 9
r = 33-9
r = 24
This shows that there are 9 black marbles, 24 red marbles and the equation r+b-33 represents the total number of marbles in the bag.
Answer:
Decision rule
Reject null hypothesis
Conclusion
There is significance evidence that the true mean is different from 0.86
Step-by-step explanation:
From the question we are told that
The population mean 
The sample is mean is 
The standard deviation is 
The level of significance is 
The sample size n = 3
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=>
Generally p- value is mathematically represented as

From the z-table

So

=> 
From the obtained question we see that
Hence we reject the null hypothesis
Answer:
Volume of cylinder = 250πm³
Step-by-step explanation:
Given:
Height h = 10 m
Radius r = 5 m
Find:
Volume
Computation:
Volume of cylinder = πr²h
Volume of cylinder = π(5)²(10)
Volume of cylinder = 250πm³