Answer: x<6/2
Step-by-step explanation:
0y>2/3 x-2
You want to flip it
2/3 x-2<0
You want to add 2 to both sides
2/3 x-2+2<0+2
2/3x<2
You want to divide both sides by 2/3
2/3x < 2
-—— —
2/3 < 2/3
X<6/2
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 ≥ 50000
For the alternative hypothesis,
µ < 50000
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 = lifetime of the tyres
µ = mean lifetime
σ = standard deviation
n = number of samples
From the information given,
µ = 50000 miles
x = 45800 miles
σ = 8000
n = 29
z = (50000 - 45800)/(8000/√29) = - 2.83
Looking at the normal distribution table, the probability corresponding to the z score is 0.9977
Since alpha, 0.05 < than the p value, 0.9977, then we would accept the null hypothesis. Therefore, At a 5% level of significance, the data is not highly consistent with the claim.
Answer:
Step-by-step explanation:
The general formula for slope-intercept form is y = mx + b
We can see that m (slope) equals 1/3 here. We can also see that the y-intercept (b) is -2. Another way to find the y intercept is to make x equal to 0. You get 0 - 2 which equals -2
Note:
If youre ever asked for the x-intercept, make y equal to zero and solve for x.
Let original Hieght be X
reduction = 32% = 32/100 X
new hieght = 4.42 m
now, 4.42 = X + 32/100 X
4.42 = 132/100 X
X = 4.42 * 100 / 132
X = 3.34 m
Original Hieght = 3.34 m
