X+(x+2)=138
2x+2=138
2x=136
x=68
Final answers: 68,70
Answer:
The value of t test statistics is -2.25.
Step-by-step explanation:
We are given that a manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402 gram setting. It is believed that the machine is under filling the bags.
A 25 bag sample had a mean of 393 grams with a standard deviation of 20.
<u><em>Let </em></u>
<u><em> = mean filling of bags by the machine.</em></u>
So, Null Hypothesis, 
: 
402 gram {means that the the machine is not under filling the bags}
Alternate Hypothesis, 
: < 402 gram {means that the the machine is under filling the bags}
The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;
T.S. = 
~ 
where, 
= sample mean bag filling = 393 grams
s = sample standard deviation = 20 grams
n = sample of bags = 25
So, <u><em>test statistics</em></u> = 
~ 
= -2.25
The value of t test statistics is -2.25.
The answer is the the second one
Answer:
FG = 39
Step-by-step explanation:
From the question given:
FH = 9x + 15
GH = 5x + 4
FG = ?
From the question given above, we can say that G is the midpoint of FH. This implies that:
FH = FG + GH
With the above idea in mind, we can obtain FG as follow:
FH = 9x + 15
GH = 5x + 4
FG = ?
FH = FG + GH
9x + 15 = FG + 5x + 4
Rearrange
FG = 9x + 15 - 5x - 4
FG = 9x - 5x + 15 - 4
FG = 4x + 11
Next, we shall determine the value of x. This can be obtained as follow:
Since G is the midpoint of FH, it therefore means that FG and GH are equal i.e
FG = GH
With the above idea in mind, we can obtain the value of x as follow:
FG = 4x + 11
GH = 5x + 4
FG = GH
4x + 11 = 5x + 4
Collect like terms
11 - 4 = 5x - 4
7 = x
x = 7
Thus, we can obtain the value of FG as follow:
FG = 4x + 11
x = 7
FG = 4x + 11
FG = 4(7) + 11
FG = 28 + 11
FG = 39
***Check ***
FH = 9x + 15
x = 7
FH = 9(7) + 15 = 63 + 15 = 78
GH = 5x + 4
x = 7
GH = 5(7) + 4 = 35 + 4 = 39
FG = 4x + 11
x = 7
FG = 4(7) + 11 = 28 + 11 = 39
FH = FG + GH
FH = 78
FG = 39
GH = 39
FH = FG + GH
78 = 39 + 39
78 = 78
Answer:
-3, -9, -7
Step-by-step explanation:
