Answer:
84°
Step-by-step explanation:
< DEB = ½× (31+ 137) = ½× (168) = 84°
Answer:
The test statistic value is 1.474.
Step-by-step explanation:
In this case we need to determine whether the plant is making a higher than expected number of irregular t-shirts.
If more than 8% of the t-shirts manufactured at a plant are classified as irregular, the manager has to do an investigation to try to find the source of the increased mistakes in the manufacturing process..
The hypothesis for this test can be defined as follows:
<em>H₀</em>: The proportion of irregular t-shirts is 8%, i.e. <em>p</em> = 0.08.
<em>Hₐ</em>: The proportion of irregular t-shirts is more than 8%, i.e. <em>p</em> > 0.08.
The information provided is:
<em>n</em> = 100
<em>X</em> = number of irregular t-shirts = 12
Compute the sample proportion as follows:
![\hat p=\frac{X}{n}=\frac{12}{100}=0.12](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7BX%7D%7Bn%7D%3D%5Cfrac%7B12%7D%7B100%7D%3D0.12)
Compute the test statistic as follows:
![t=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Chat%20p-p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
![=\frac{0.12-0.08}{\sqrt{\frac{0.08(1-0.08)}{100}}}\\\\=1.47441\\\\\approx 1.474](https://tex.z-dn.net/?f=%3D%5Cfrac%7B0.12-0.08%7D%7B%5Csqrt%7B%5Cfrac%7B0.08%281-0.08%29%7D%7B100%7D%7D%7D%5C%5C%5C%5C%3D1.47441%5C%5C%5C%5C%5Capprox%201.474)
Thus, the test statistic value is 1.474.
Unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. For example: 8/4 = 2 and 3/6 = 0.5. When we write numbers in decimal form, we can write them as a ratio with one as the denominator.
For example, we can write 2 as 2/1, and 0.5 as 0.5/1. However, since that approach can be a little clumsy, we usually drop the one. That said, it's important to remember the one is there, especially when working with unit rates.
For instance, 8 miles/4 hours = 2 miles/hour. Notice again that, while we did not include the 1, we did include the unit 'hour' Miles per hour is a familiar expression, as are unit rates such as:
interest/amount invested
revolutions/minute
salary/year
Conversationally, the word ''per'' indicates we are using a unit rate.
1% (I'm pretty sure)
Step-by-step explanation:
you would do 9.65 ÷ 9.58 to to get 1.0073 and rounding it would give you 1
Answer:
![c = -6](https://tex.z-dn.net/?f=c%20%3D%20-6)
![d = -1](https://tex.z-dn.net/?f=d%20%3D%20-1)
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
--- Point on A
--- Corresponding point on B
When A is reflected across the x-axis, the rule is:
![(x,y) \to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%20%5Cto%20%28x%2C-y%29)
So, we have:
![(3,5) \to (3,-5)](https://tex.z-dn.net/?f=%283%2C5%29%20%5Cto%20%283%2C-5%29)
Next, is to calculate the translation from
to ![(-3,-6)](https://tex.z-dn.net/?f=%28-3%2C-6%29)
This is calculated using:
![3 + c = -3](https://tex.z-dn.net/?f=3%20%2B%20c%20%3D%20-3)
and
![-5 + d = -6](https://tex.z-dn.net/?f=-5%20%2B%20d%20%3D%20-6)
So, we have:
![3 + c = -3](https://tex.z-dn.net/?f=3%20%2B%20c%20%3D%20-3)
![c = -3-3](https://tex.z-dn.net/?f=c%20%3D%20-3-3)
---- i.e. Shift by 6 units to the left
![-5 + d = -6](https://tex.z-dn.net/?f=-5%20%2B%20d%20%3D%20-6)
![d = 5 - 6](https://tex.z-dn.net/?f=d%20%3D%205%20-%206)
--- i.e. Shift by 1 unit down