We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.
Let y be weight of an object on Mars and x be weight of an object on Earth.
We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.
Putting the given values in equation we get
Therefore, our equation now becomes
Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,
We have been given that
Putting the given values in our equation we get
Therefore weight of the object on Mars will be 51 pounds.
From $48 to $78, the change is $30 .
From 4 people to 10 people, the change is 6 people.
The rate of change is ($30) / (6 people) =
(30 / 6) ( $ / person) =
$5 per person .
Answer:
(A) With 99% confidence, the proportion that favours the Green initiative is between 418.895 and 423.105 (no approximation; answers were gotten exactly in 3 decimal places).
(B) If many groups of 593 (greater than the initial sample size of 556) randomly selected Americans were surveyed then a different confidence interval would be used or produced from each group.
About 90% of these confidence intervals will contain the true population proportion of Americans who favour the Green initiative and about 10% will not contain the true population proportion.
Step-by-step explanation:
(A) 99% of 421 = 416.79
421 - 416.79 = 4.21
4.21 ÷ 2 = 2.105
(421-2.105), (421+2.105)
The lower and upper limits are:
[418.895 , 423.105]
(B) A wider confidence interval such as 90% will be better suited in a case of multiple samples like this.
It is a 50% chance. This is because 3 girls is half of the girls and 4 boys is half of the total boys.
As the Question is not clear
But there are two possibilities
1. →→Cancelling x+2 from numerator and denominator
→→ Using the formula (a³ + b³) =(a+b)(a² - ab + b²)
Or if
→→Cancelling x-2 from numerator and denominator
Using the formula (a³ - b³) =(a-b)(a² + ab + b²)
Statement (1) appears true.
So, correct option is x²- 2 x + 4 or x² + 2 x + 4