Write the decomposition that helps you, and then round to the given place value. Draw number lines to explain your thinking. Cir
cle the rounded value on each number line.
a. Round 32.697 to the nearest tenth, hundredth, and one.
b. Round 141.999 to the nearest tenth, hundredth, ten, and hundred.
a. Round 32.697 to the nearest tenth, hundredth, and one.
b. Round 141.999 to the nearest tenth, hundredth, ten, and hundred.
1 answer:
Further explanation
There are general rules used in rounding numbers
1. Determine the rounded digit
2. Pay attention to the digits afterward (right). If the digit shows the numbers 0, 1, 2, 3 or 4, then the digit to be rounded is fixed, and the digit on the right is 0 all
3. If the digit on the right shows the numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added to one, and the digit on the right side is made all 0
In rounding the nearest hundreds number, then we see the digit in the number tens (right of the digit hundreds), if it is worth 0, 1, 2, 3 or 4, then it remains, but if it shows numbers 5, 6, 7, 8 or 9, then the digit to be rounded is added one, and the right-hand side is 0
Calculated from the decimal point, the place on the right represents tents, hundredths, thousandths, etc.
a. 32.697
Decomposition
ten : 3
one : 2
tenth : 6
hundredth : 9
thousandths : 7
For the tenth number is 6, the value on the right is 9 then rounded become 32.7
For the hundredth number is 9, the value on the right is 7 then rounded become 32.70
for the one number is 2 , the value on the right is 6 then rounded become 33
b. 141.999
Decomposition
hundred : 1
ten : 4
one : 1
tenth : 9
hundredth : 9
thousandths : 9
a. For the tenth number is 9, the value on the right is 9 then rounded become 142.0
For the hundredth number is 9, the value on the right is 9 then rounded become 142.00
For the ten number is 4, the value on the right is 1 then rounded become
14
For the ten number is 1, the value on the right is 4 then rounded become
142
<h3>Learn more </h3>five numbers that are round up and round down to 600
all the numbers that round to 50
round 4,398,202 to the nearest 100
Round number 4278649 to nearest 100
Keywords: round up, round down, the rounded digit
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Answer:
And that represent the proportion of failures.
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.0475;0.2185)
Step-by-step explanation:
Previous concept
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The population proportion have the following distribution
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by and
. And the critical value would be given by:
The proportion estimated would be:
And that represent the proportion of failures.
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 99% confidence interval would be given by (0.0475;0.2185)
Answer:(x,y)=(2.5,1)
Step-by-step explanation:
Given
thus on comparing
2x+y=6------1
On comparing exponent of 2
------2
we get x=2.5
substitute x in 1
y=1
(x,y)=(2.5,1)