Answer:
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.181 - 0.0140 = 0.167 cc/m³.
The upper end of the interval is the sample mean added to M. So it is 0.181 + 0.0140 = 0.195 cc/m³.
The 90% confidence interval for the population mean iron concentration is between 0.167 cc/m³ and 0.195 cc/m³.
Image a right triangle with two points at these two locations and the hypothenuse as the distance between them.
Find the length straight down from the first point to the second: 10 units
Find the length to the right from the first point to the second: 10 units
Use the Pythagorean theorem: a^2 + b^2 = c^2
10^2 + 10^2 = 200
√200 = 10√2 = 14.14 units
Answer:
88 miles.
Step-by-step explanation:
$.40 x 88(miles) = $35.2
$35.2 + $45 = $80.20
Now, the reason it is 88 is because 87 miles would equal
$.40 x 87 = $34.8 (total is $79.80) so that would be $.20 short.
Given :
A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.
To Find :
What was her first error.
Solution :
Her first error is to find Unit price of egg in each carton.
To find, unit price we should divide total amount by number of units :
Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .
Hence, this is the required solution.
Answer:
First, you need to know how to multiply two monomials together. A monomial is a one term polynomial.
2x × 5x, 2x²y × 3xy², and ab² × 4b³ are examples of products of monomials.
To multiply monomials together, multiply the number parts together and multiply the variables together.
Here are the 3 examples above solved:
2x × 5x = 10x²
2x²y × 3xy² = 6x³y³
ab² × 4b³ = 4ab^5
To multiply two polynomials together, multiply every term of the first polynomial by every term of the second polynomial. then combine like terms.
Example:
(2x² + 3x - 8)(4x³ - 5x²) =
= 2x² × 4x³ + 2x² × (-5x²) + 3x × 4x³ + 3x × (-5x²) - 8 × 4x³ - 8 × (-5x²)
= 8x^5 - 10x^4 + 12x^4 - 15x³ - 32x³ + 40x²
= 8x^5 + 2x^4 - 47x³ + 40x²
This is a lot of material in very little space. You need to start with simple examples of multiplication of 2 monomials. Then practice multiplying a monomial by a binomial. Then practice with polynomials of more terms.
