Answer:
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Step-by-step explanation:
The null and alternative hypotheses are stated as
H0: u ≥ 1750 i.e the mean is less and equal to 1750
against the claim
Ha: u > 1750 ( one tailed test) the mean is greater than 1750
Sample mean = x`= 1754
Population mean = u = 1750
Population deviation= σ = 65 pounds
Sample size= n = 100
Applying the Z test
z= x`- u / σ/ √n
z= 1754- 1750 / 65/ √100
z= 4/6.5
z= 0.6154
The significance level alpha = 0.1
The z - value at 0.1 for one tailed test is ± 1.28
The critical value is z > z∝.
so
0.6154 is < 1.28
We accept the null hypothesis that the breaking strength mean is less and equal to 1750 pounds and has not increased.
Answer:
x=1.6 and x=13.4
Step-by-step explanation:
First we must bring -3x over to the left side by addin git the both sides
The last number line the correct answer!
-2a-5>3
-2a>8
a<-4
( the sign is flipped in the end because when you multiply or divide by a negative number, the sign flips the other way around)
Acceleration is the rate of change of velocity, which means the change in velocity (vf - vi) with time (t)
<span>where, vf is the final velocity and vi is the initial velocity
</span>
In a deck of cards there are total of 52 cards.
But in our case we have to check the probability of red 8, which is either the 8 of diamond or of heart.
So the number of events of which we have to find probability is 2. And total number of events is 52.
So the probability will be
2/52 = 1/26 = 0.0384615
