Answer:
1/6
Step-by-step explanation:
There are 6 different outcomes when rolling a fair dice.
You can roll a:
1
2
3
4
5
or
6
There is one outcome we want. Probability=number of desirable outcomes/total number of options.
1= number of desired outcomes
6-=total number of outcomes
1/6
Answer:
a) Mean: 900
Standard deviation: 24
b) Very unusual
c) Unusual
Step-by-step explanation:
We have a population proportion p=0.36 and we are taking a sample of size n=2500. This can be modeled as binomial sampling.
For this sampling distribution, we have a mean and STD that can be calculated as:
b) A value of 840 is a very unusual as is more than 2 standard deviations from the expected value of 900 (more exactly, at 2.5 standard deviations). Approximately 2% of the values are below 2 standars deviations from the mean.
Having 840 or less televisions tuned to "Eyewitness News" would have a probability of P=0.00621.
c) A value of 945 would be also unusual, but not as unusual as 840, as is between 1 and 2 standard deviation from the expected value.
Having 945 or more televisions tuned to "Eyewitness News" would have a probability of P=0.0304.
Answer:
When x=2
Step-by-step explanation:
Well in the first one it tells you that 2x is 90.
In the second it's y=40x+10
So you plug 2 in as the x.
y=40(2)+10
y=80+10
y=90
Hope this helps
Area= length*width
Plug in what you know.
144= 24*width
Divide both sides by 24.
width= 6 meters.
I hope this helps!
~kaikers
<u>Let's consider the facts at hand</u>:
- By Vertical Angle Theorem ⇒ ∠BCE = ∠DCF
- ∠BEC = ∠DFC
- Sides BE = DF
<u>Based on the diagram, triangles BCE and triangles DCF are similar</u>
⇒ based on the Angle-Angle theorem
⇒ since ∠BCE = ∠DCF and ∠BEC = ∠DFC
⇒ the two triangles are similar
Hope that helps!
<em>Definitions of Theorem I used:</em>
- <u><em>Vertical Angle Theorem: </em></u><em>opposite angles of two intersecting lines must be equal</em>
- <u><em>Angle-Angle Theorem:</em></u><em> if two angles of both triangles are equal, then the given triangles must be similar</em>
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