Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 6.8 psi
For the alternative hypothesis,
µ ≠ 6.8
This is a 2 tailed test
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 6.8
x = 6.9
σ = 0.7
n = 140
z = (6.9 - 6.8)/(0.7/√140) = 0.17
Therefore, the value of the test statistic us 0.17
Answer:
a = 98
b = 82
c = 58
d = 122
Step-by-step explanation:
Ok so I tried to find b first since that was the easiest.
The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.
180-98=b
82=b
I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98
C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)
And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.
d+58=180
d=122
Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well
The top and bottom are the same length:
5x +10 = 40
Subtract 10 from each side:
5x = 30
Divide both sides by 5:
x = 30/5
x = 6