Answer:
lance
Step-by-step explanation:
uwuuu!!
thanks for the points
Answer: 12.5 cm
Step-by-step explanation:
Equation would be:
1:80
?:1000
So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.
Answer: 
Step-by-step explanation:
Given: Original length =
inches
inches ( In improper fraction )
Length of piece cut from original =
inches

inches ( In improper fraction )
Length of piece leftover piece = (Original length ) - (Length of piece cut )

Hence, the leftover piece will be
long.
Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
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
.
Point estimate
The point estimate is:

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 population proportion is (0.1717, 0.2883).
Answer: 9 and 3/7
Step-by-step explanation: To multiply a mixed number by a mixed number, we first want to write each mixed number as an improper fraction.
We can write a mixed number as an improper fraction by multiplying the denominator by the whole number and adding the numerator.
We can change
to the improper fraction 30/7.
We can also change
to the improper fraction 11/5.
Now, we are simply multiplying fractions. To multiply fractions, we multiply across the numerators and multiply across the denominators. When we multiply these fractions, we will end up with the fraction 330/35. Since 330/35 is not in lowest terms, we need to divide both the numerator and denominator by the greatest common factor of 330 and 35 which is 5 and we will get the improper fraction 66/7.
Notice however that 66/7 can be changed into a mixed number by dividing the denominator which is 7 into the numerator which is 66.
66 divided by 7 equals 9 with a remainder of 3 so we can write 66/7 as the mixed number 9 and 3/7.
Therefore, 4 and 2/7 × 2 and 1/5 = 9 and 3/7