Answer:
First Integer = 16
Second Integer = 18
Third integer = 20
Step-by-step explanation:
An even integer is represented by 2n
Where n is any integer
Let :
First Integer = 2n - 2
Second Integer = 2n
Third integer = 2n + 2
The sum of three even consecutive numbers = 2n - 2 + 2n + 2n + 2
= 2n + 2n + 2n - 2 + 2 = 54
= 6n = 54
n = 54/6
n = 9
First Integer = 2n - 2 = 2(9) - 2
= 16
Second Integer = 2n = 2(9)
= 18
Third integer = 2n + 2 = 2(9) + 2
= 20
Answer:
9.5
Step-by-step explanation:
Find the sample variance for the data 9,12,9,14,6. Round the answer to one decimal place. Sample variance.
Step 1
We find the Mean of the numbers
Mean = Sum of terms/ Number of terms
Mean = 9+12+9+14+6/5
= 50/5
= 10
Step 2
We find the sample variance
Formula =
(x - Mean)²/n - 1
n = 5
= (9 - 10)²+(12 -10)²+(9- 10)²+(14-10)²+(6-10)²/5 - 1
= 1+ 4+ 1+ 16+16/5 - 1
= 38/5 - 1
= 38/4
= 9.5
Therefore, Sample variance = 9.5
Answer: 342 cm³
Step-by-step explanation: To find the volume of the rectangular prism, start with the formula for the volume or a prism.
Volume = length × width × height
Since we are not sure what the length, width, or height is in this problem, we can plug any of these numbers in for the length, width, or height. The commutative property of multiplication states that changing the order of the factors does not change the product.
Volume = (19 cm) (9 cm) (2 cm)
Volume = 342 cm³
Therefore, the volume of the rectangular prism is 342 cm³.
Answer:
B
Step-by-step explanation:
Please see the answer in the picture attached below.
" From Step 1: We find that Angle N1 equals to 75 gradius => Answers A and C wrong. Answers B and D are left.
" From Step 4: We find that Angle N2 equals to 129 gradius => Answer B is true.
You don't need to find the exact value of the angle N3 in oder to choose the right answers from A,B,C,D.
Hope this answer can help you. Have a nice day!
Since he starts with (10x+7) dollars and is buying two pairs of jeans that each cost (4x-5) dollars you should subtract the cost of the jeans from his starting amount.
(10x+7)-2(4x-5)=
10x+7-8x+10=
2x+17
