Answer:
y=3/5x-9
this is what im learning as well
Answer:
(3, 7 ) and (2, 2 )
Step-by-step explanation:
Given the 2 equations
y = x² - 2 → (1)
8 = 5x - y → (2)
Rearrange (2) expressing y in terms of x
y = 5x - 8 → (3)
Substitute y = x² - 2 into (3)
x² - 2 = 5x - 8 ← subtract 5x - 8 from both sides
x² - 5x + 6 = 0 ← in standard form
(x - 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 2 = 0 ⇒ x = 2
Substitute these values into (3) for corresponding values of y
x = 3 : y = 5(3) - 8 = 15 - 8 = 7 ⇒ (3, 7 )
x = 2 : y = 5(2) - 8 = 10 - 8 = 2 ⇒ (2, 2 )
Answer:
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
Suppose a sample of 333 tankers is drawn. Of these ships, 257 did not have spills.
333 - 257 = 76 have spills.
This means that
80% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 - 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.199](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.228%20-%201.28%5Csqrt%7B%5Cfrac%7B0.228%2A0.772%7D%7B333%7D%7D%20%3D%200.199)
The upper limit of this interval is:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.228 + 1.28\sqrt{\frac{0.228*0.772}{333}} = 0.257](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.228%20%2B%201.28%5Csqrt%7B%5Cfrac%7B0.228%2A0.772%7D%7B333%7D%7D%20%3D%200.257)
The 80% confidence interval for the population proportion of oil tankers that have spills each month is (0.199, 0.257).
Answer:
p = 17.5
Step-by-step explanation:
This is the answer because:
1) First, we have to isolate x
2) To isolate x, first -6 from +6 and 48
+6 - 6 = 0
48 - 6 = 42
Equation: 2.4p = 42
3) Now we are left with 2.4p = 42
4) Next, divide 2.4 from 2.4 and 42
2.4/2.4 = 0
42/2.4 = 17.5
5) We are left with
p = 17.5
Therefore, the answer is p = 17.5
Hope this helps!
Answer: 508.68 units cubed
Step-by-step explanation:
That is assuming pie = 3.14