Q is negative two thirds which is written as -2/3
Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is
The standard deviation is 
The z-score is z = -1.94
The null hypothesis is 
The alternative hypothesis is 
Generally the p-value is mathematically evaluated as

From the z table the area under the normal curve to the left corresponding to -1.94 is

=> 
=> 
Let assume the level of significance is 
Hence the
this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
To learn more about elimination method, here:-
brainly.com/question/13877817
#SPJ4
Answer:
55
Step-by-step explanation:
So lets take our 50 dollars.
Next, take your increase of 5%. Remember, 5% is 0.05, and it is a increase of 5%, so we are multipling 50 by 1.05.
Before we start multiplying, lets recall that this occurs twice(2 years), but this doesnt mean we multiply 50 by 1.10. No, we just mutiply 50 by 1.05 2 times:
50*1.05
=
52.5
52.5*1.05
=
55.25
So your answer is 55 dollars(rounding down).
Hope this helps!