Amy read 42 pages from her 137 page magazine. She will spend 10 days reading the same number of pages each day until she finishe
1 answer:
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No, not possible to tell that the the two triangles, ΔBAC and ΔCED
are similar ⇒ answer D
Step-by-step explanation:
Let us revise the cases of similarity
1. AAA similarity : two triangles are similar if all three angles in the first
triangle equal the corresponding angle in the second triangle
2. AA similarity : If two angles of one triangle are equal to the
corresponding angles of the other triangle, then the two triangles
are similar.
3. SSS similarity : If the corresponding sides of the two triangles are
proportional, then the two triangles are similar.
4. SAS similarity : In two triangles, if two sets of corresponding sides
are proportional and the included angles are equal then the two
triangles are similar.
In the two triangles BAC and CED
∵ m∠BAC = 17°
∵ m∠CED = 17°
∴ m∠BAC = m∠CED
But we need another pair of angles to prove that the two triangles are
similar by AA similarity criterion
<em>OR </em>
The lengths of sides BA , CA and CE , DE to show that
= constant ratio and prove that the
two triangles are similar by SAS similarity criterion
So it is not possible to prove that the two triangles are similar
No, not possible to tell that the the two triangles, ΔBAC and ΔCED
are similar
Learn more:
You can learn more about triangles in brainly.com/question/4354581
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Answer:
The 95% confidence interval would be given by (0.380;0.441)
Step-by-step explanation:
In a study conducted in the United Kingdom about sleeping positions, 1000 adults in the UK were asked their starting position when they fall asleep at night. The most common answer was the fetal position (on the side, with legs pulled up), with 41% of the participants saying they start in this position. Use a normal distribution to find and interpret a 95% confidence interval for the proportion of all UK adults who start sleep in this position. Use the fact that the standard error of the estimate is 0.016
1) Notation and definitions
number of people who answer fetal position
random sample taken
estimated proportion of people who answer fetal position
true population proportion of people who answer fetal position
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
2) Confidence interval
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.380;0.441)