Answer:
Step-by-step explanation:
RS Bisects PQ at T Given
PQ bisects RS at T Given
<RTQ = <PTS Vertically opposite Angles
PT = TQ Result of the given bisection
RT = TS Result of the given Bisection
ΔPTS ≡ ΔRTQ SAS. Note that the vertically opposite angles are between the two equal sets of lines.
There are 8 possible outcomes for a marble being drawn and numbered.
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.
In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.
</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.
In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>
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Answer:
The t-score is 1.96
Step-by-step explanation:
The margin of error is given as
(Margin of Error) = (critical value) × (standard deviation of the sample mean)
The critical value is usually obtained from the t-score or the z-score at the given confidence level.
With small sample sizes (sample sizes less than 30) and/or information about the population standard deviation is not known, the t-distribution is used to find critical values.
We convert the confidence level to significance level and use the sample size to trace out the t-score.
Significance level = (1 - confidence level)/2
For example, a confidence level of 95% mean that 5% (spread equally at the top and bottom of the distribution as 2.5% and 2.5%) is still room for error, hence, the significance level = (5%/2) = 2.5%
This information, with the sample size, directs one exactly to where to obtain the t-score for the distribution on the t-score table.
But, with large sample sizes, with known information about its standard deviation, we typically use critical values on the Z-distribution to obtain the margin of error.
And as the sample size increases, the t-score approximates the z-score.
So, for a sample size of 100, the t-score can be simply obtained from the z-score table for a confidence level of 95%; and that is 1.96.
Hope this Helps!!!
If there is supposed to be a root sign it’s C.
Answer:
Well on my calculator it says 1.2 so u ate 1.2 inches. to round it it would be 1 so 1 square inch
