Answer:
In general, to round to a certain place value, look at the digit to the right of that place value and make a decision. Example: 5.1837 to the nearest hundredth would be 5.18 (round down since 3<5 ), but to the nearest thousandth, it is 5.184 (round up because 7≥5 ).
Step-by-step explanation:
Answer: 89.6 kg of water
Step-by-step explanation:
Find the total volume of the tank:
(80cm)*(35cm)*(40cm) = 112,000 cm^3
4/5 of this would be 89,600 cm^3
Water has a mass of 1 gram/cm^3
(1 gram/cm^3)*(89,600 cm^3) = 89,600 g of water
(89,600 g)*(1 kg/1,000 g) = 89.6 kg of water
To solve for the given problem above:
Let x be the number of boxes left after 3 hours
3 * ½ X = 24
3/2 X = 24
X = 24 * 2/3
X = 16
The correct answer is 16.
Answer:
x²+5x-49
Step-by-step explanation:
-7² -x+6x+x²
combine like terms
-x+6x is 5x
simplify -7² is -49
now rewrite the equation
x²+5x-49
Answer:
The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% confidence interval for the true proportion of all voters in the state who favor approval is (0.4384, 0.5050).