The values are a = 7, b = -9, c = -18.
<u>Step-by-step explanation:</u>
The given quadratic equation is 
The general form of the quadratic equation is 
where,
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
Now, you have to modify the given quadratic equation similar to the general form of quadratic equation.
So, bring the constant term 18 to the left side of the equation for equating it to zero.
⇒ 
Compare the above equation with general form
⇒ a = 7
⇒ b = -9
⇒ c = -18
Therefore, the values of a, b, and c are 7, -9 and -18.
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:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is 
The proportion that choose to vaccinate the teen boys is 
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
Answer:
1.39285714286
Step-by-step explanation:
