Answer:
a₁₃ = - 27x - 41
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3x + 7
d = a₂ - a₁ = - 5x + 3 - (- 3x + 7)
= - 5x + 3 + 3x - 7
= - 2x - 4
Then
a₁₃ = - 3x + 7 + 12(- 2x - 4)
= - 3x + 7 - 24x - 48
= - 27x - 41
Find the total number of dogs by adding each day:
Total dogs = 23
Percent of dogs: Divide the number of dogs by the total number of patients:
= 23 / 50 = 0.46 x 100 = 46%
Use the given formula to find the standard error:
Standard error = √(0.46*(1-0.46)/50) = 0.07
90%: Find Z value for 90% ( 1.645) multiply by SE:
1.645 x 0.07 = 0.115 = 0.12
Now add and subtract that value from the Percent from above:
46 + 12 = 58%
46-12 = 34%
Answer (34%, 58%)
95%: Find Z value for 95% ( 1.96) multiply by SE:
1.96 x 0.07 = 0.137 = 0.14
Now add and subtract that value from the Percent from above:
46 + 14 = 60%
46-14 = 32%
Answer (32%, 60%)
107 = 7 -2 (7b - 1)
First, distribute -2 to all terms within the parenthesis
-2(7b - 1) = -14b + 2
107 = 7 -14b + 2
Combine like terms
107 = -14b (+7 + 2)
107 = -14b + 9
Isolate the b. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Subtract 9 from both sides
107 (-9) = -14b + 9 (-9)
107 - 9 = -14b
98 = -14b
Isolate the b. Divide -14 from both sides
(98)/-14 = (-14b)/-14
98/-14 = b
b = −7
-7 is your answer
hope this helps
The maximum amount of supplies that the storage unit can hold is 28 ft³
<h3>How to calculate the volume of a rectangular prism?</h3>
For us to calculate the volume or amount of space in Evan's prism, we will first of all calculate the volume of rectangular prisms. Formula is;
V = Length × width × height.
We are given;
length = 4 feet
width = 3.5 feet
height of the prism = 2 feet.
Thus;
V = 4 * 3.5 * 2
V = 28 ft³
Thus, the maximum amount of supplies that the storage unit can hold is 28 ft³
Read more about Volume of Rectangular Prism at; brainly.com/question/4062480
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