Answer:
hello your question is incomplete attached below is the complete question
answer :
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
Step-by-step explanation:
<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>
time = distance / rate
where distance can be calculated using this equation: sin 53° = 400 / x
hence x ( distance ) = 500 ft
rate = 150
therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes
Time for jogging ( as calculated ) = 3.69 minutes
therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes
<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>
lets assume Distance to swim = x ( according his sister )
determine the value of x = 
therefore X = 1456.02 feet
∴
Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes
<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>
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Answer:
Negative
Step-by-step explanation:
(if it's going downwards = negative)
insta: ymy.lu
Answer:
Step-by-step explanation:
(a) 1.56×10^4 = 1.56×10000 = 15,600
(b) There are 3600 seconds in an hour, so Andrew's time was
15600 s/(3600 s/h) = 13/3 h = 4 1/3 h
1/3 hour is 20 minutes, so Evelyn's time of 4:16 is shorter than Andrew's time of 4:20.
Total number of people is 55
<u>Step-by-step explanation:</u>
Step 1:
Given ratio between boys and girls is 4:1. Let number of girls be x, so number of boys = 33 + x
⇒ 4x + x = x + 33 + x
⇒ 5x = 33 + 2x
⇒ 3x = 33
⇒ x = 11
Step 2:
Find total number of people.
33 + 2x = 33 + 22 = 55
Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Round your answer up to the nearest integer.
sample size = _____
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 5% = 0.05
Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be
From the question we are told the confidence level is 90% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=> ![n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7B1.645%20%7D%7B0.05%7D%20%5D%5E2%20%2A%200.5%20%281%20-%200.5%20%29%20)
=>
