Answer:
97
Step-by-step explanation:
Marcus is aiming for an A- (90-94 percent). The question states that there is another test awaiting that is worth 100 points. In order to find the answer to the question, you need to:
1.) Add 400 + 100, to show how many points there are in total.
2.) Use the answer choices and add it to 353.
88 + 353 = 441
93 + 353 = 446
97 + 353 = 450
3.) Find the percentage of the sums.
441/500 = 88%
446/500 = 89%
450/500 = 90%
Since Marcus is aiming for an A-, we can conclude that obtaining 97 points will help Marcus achieve an A-.
Find the total number of dogs by adding each day:
Total dogs = 23
Percent of dogs: Divide the number of dogs by the total number of patients:
= 23 / 50 = 0.46 x 100 = 46%
Use the given formula to find the standard error:
Standard error = √(0.46*(1-0.46)/50) = 0.07
90%: Find Z value for 90% ( 1.645) multiply by SE:
1.645 x 0.07 = 0.115 = 0.12
Now add and subtract that value from the Percent from above:
46 + 12 = 58%
46-12 = 34%
Answer (34%, 58%)
95%: Find Z value for 95% ( 1.96) multiply by SE:
1.96 x 0.07 = 0.137 = 0.14
Now add and subtract that value from the Percent from above:
46 + 14 = 60%
46-14 = 32%
Answer (32%, 60%)
Answer:
Step-by-step explanation:
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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
The population proportion have the following distribution
And we can solve the problem using the z score on this case given by:
We are interested on this probability:
And we can use the z score formula, and we got this:
And we can find this probability like this:
Answer:
81.2 feet (nearest tenth)
Step-by-step explanation:
