Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Given that the probability <span>is
modeled by the function
![y=3(257,959)^x[tex] where x is the impurity concentration and y, given as a percent, is the probability of the fuse malfunctioning.\\Then, the probability of the fuse malfunctioning for an impurity concentration of 0.17 is given by [tex]y=3(257,959)^{0.17}=3(8.316941)=24.95](https://tex.z-dn.net/?f=y%3D3%28257%2C959%29%5Ex%5Btex%5D%20%20where%20x%20is%20the%20impurity%20%0Aconcentration%20and%20y%2C%20given%20as%20a%20percent%2C%20is%20the%20probability%20of%20the%20fuse%20%0Amalfunctioning.%5C%5CThen%2C%20the%20%3C%2Fspan%3Eprobability%20of%20the%20fuse%20malfunctioning%20for%20an%20impurity%20concentration%20of%200.17%20is%20given%20by%20%5Btex%5Dy%3D3%28257%2C959%29%5E%7B0.17%7D%3D3%288.316941%29%3D24.95)
Therefore, the <span>probability of the fuse malfunctioning for an impurity concentration of 0.17 is 25% to the nearest percent.</span>
</span>
Answer:
20 sq in
Step-by-step explanation:
formula is (base * height)/2 so plug it in:
5*8=40
40/2=20
20 sq in
Answer:
![Interval: [-10.10]](https://tex.z-dn.net/?f=Interval%3A%20%5B-10.10%5D)
Step-by-step explanation:
Given
Set: -10 to 10
Required
Write as interval notation
We start by writing the given parameter as an inequality

The direct representation of
and
in interval representation of sets is
and
, which shows that the beginning and end of the interval are inclusive;
So, the above inequality in interval notation is:
![Interval: [-10.10]](https://tex.z-dn.net/?f=Interval%3A%20%5B-10.10%5D)
For the axis of symmetry it will be -b/2a but in this case the axis of symmetry is going to be y=4. the x intercept will be the roots (2,0) and (6,0) and for the y intercept it will be (0,3) since the parabola crosses the y axis at (0,3)