First lets get the formula for a triangular prism
First lets plug in our numbers
It really doesnt matter how you multiply everything, but you end up with 119cubic feet.
Which of the following shows a reflection of the triangle over the horizontal axis?
2 answers:
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Answer:
We conclude that the population mean light bulb life is at least 500 hours at the significance level of 0.01.
Step-by-step explanation:
We are given that a manufacturer produces light bulbs that have a mean life of at least 500 hours when the production process is working properly. The population standard deviation is 50 hours and the light bulb life is normally distributed.
You select a sample of 100 light bulbs and find mean bulb life is 490 hours.
Let = <u><em>population mean light bulb life.</em></u>
So, Null Hypothesis, :
500 hours {means that the population mean light bulb life is at least 500 hours}
Alternate Hypothesis, :
< 500 hours {means that the population mean light bulb life is below 500 hours}
The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
where, = sample mean bulb life = 490 hours
σ = population standard deviation = 50 hours
n = sample of light bulbs = 100
So, <u><em>the test statistics</em></u> =
= -2
The value of z test statistics is -2.
<u>Now, at 0.01 significance level the z table gives critical value of -2.33 for left-tailed test.</u>
Since our test statistic is higher than the critical value of z as -2 > -2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <u>we fail to reject our null hypothesis.</u>
Therefore, we conclude that the population mean light bulb life is at least 500 hours.
Answer:
See explanation
Step-by-step explanation:
Consider the expression
First, factor it:
Note that
Then
This shows that number 100 is a factor of the expression and, therefore, this expression is divisible by 100.
<h3>Answer:</h3>
infinite solutions
<h3>Step-by-step explanation:</h3>Add the two equations.
... (-4x) + (y) = (y +3) +(-4x -3)
Add 4x -y to both sides.
... -4x +y +4x -y = -4x +y +4x -y
... 0 = 0 . . . . . true for all values of x (or y)
Both equations describe the same line.
_____
The graph shows the first equation as a red line. The second equation is shown using a "blue dot" texture, so you can see it overlays the red line.