10=2x+3,50 |-3,50
6,50=2x |:2
3,25=x
10=2x+7 |-7
3=2x |:2
1,5=x
You didnt say how many bakery she wants to buy, so i did one inequality for 1 bakery anderen for the maximum of 2.
Answer:
The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).
Critical value t=1.318
Step-by-step explanation:
We have to calculate a 80% confidence interval for the mean.
The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.
The sample mean is M=0.165.
The sample size is N=25.
When σ is not known, s divided by the square root of N is used as an estimate of σM:
The degrees of freedom for this sample size are:
The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).
Answer:
39
Step-by-step explanation:
Let the three consecutive odd numbers be:
x+2, x+4, x+6.
The sum of the consecutive numbers is 123 i.e
x+2 + (x+4) + (x+6) = 123
x + 2 + x + 4 + x + 6 = 123
3x + 12 = 123
Collect like terms
3x = 123 — 12
3x = 111
Divide both side by the coefficient of x i.e 3
x = 111/3
x = 37
Now let us find the value of the three odd numbers. This is illustrated:
1st : x + 2 = 37 + 2 = 39
2nd : x + 4 = 37 + 4 = 41
3rd : x + 6 = 37 + 6 = 43
The smallest of the three consecutive odd numbers is 39
Answer:
Number of 1 $ bill = 20
Number of 5 $ bill = 6
Explanation:
Let p represent number of one dollar bolls and q represent number of five bills.
A total of 26 bills are in a cash box.
p + q = 26 ------------------------- Equation 1
The total amount of cash in the box is $50
p + 5q = 50 ------------------------- Equation 2
Equation 2 - Equation 1,
p + 5q - p -q = 50 - 26
4q = 24
q = 6
Substituting in equation 1.
p + 6 = 26
p = 20
Number of 1 $ bill = 20
Number of 5 $ bill = 6
Step-by-step explanation:
5(a-3)(a-3)
5(a-3)^2
X^4(2x+1) - (2x+1)
(x^4-1)(2x+1)
(x^2-1)(x^2+1)(2x+1)
(x-1)(x-1)(x^2+1)(2x+1)