Answer:
A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be computed from a sample of size 100 drawn from the same population. Choose the best answer to fill in the blank: The interval from the sample of size 400 will be approximately _______as the interval from the sample of size 100.
Answer:
224.7 days
Step-by-step explanation:
Venus is the second planet out of the nine planets and it precedes the planet earth. Venus has an orbital distance of 0.72 AU from the sun while Earth has an orbital distance of 149.60 million km from the sun. Due to these distances, the Venus completes one orbit around the sun in 224.7 days while the Earth complete one orbit around the sun in 365.256 days but in a leap year, it completes one orbit around the sun in 366 days.
Answer:
Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr.
Step-by-step explanation:
You know that Samuel's starting pay is $12.50/hr and for each season Samuel remains with the company, he receives a $0.35/hr raise.
Samuel's hourly rate after n seasons at the company will then be:
f(n)= 12.50 + 0.35*n
To determine the hourly rate after 18 seasons, you must replace the value n with 18:
f(18)= 12.50 + 0.35*18
Solving you get:
f(18)= 12.50 + 6.3
f(18)= 18.8
<u><em>Samuel's hourly rate after n seasons with the company is f(n)= 12.50 + 0.35*n. After 18 seasons with the company, Samuel's hourly rate will be 18.8 $ /hr. </em></u>
Answer: Yes, they are equal
Step-by-step explanation:
Quick statement: To find equivalent fractions, multiply or divide them by the same number.
In this particular example, you can divide 182 by 7 and get 26 and 21 by 7 to get 3. This symbols that they are equal. If you try the inverse operation (multiplication), you could multiply 26 by 7 and get 182. Same goes for 21 and 3: you multiply 3 by 7 to get 21. Just remember to multiply or divide the two numbers (numerator and denominator) by the same number to get an equivalent fraction.
Answer:
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.
Step-by-step explanation:
Using the Pythagorean Theorem, (
) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.
Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:
Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.
