Answer: 99.7 % of the bags contain between 62 and 86 potato chips.
Step-by-step explanation:
The standard deviation given is 4.
Find the difference between the given numbers and the mean,
74-62= 12 . 86-74=12
then divide 12 by 4 to find the number of standard deviations: 12/4=3
Check a chart or diagram of the Gaussian Distribution to find that 99.7% of the samples lie within 3 standard deviations from the mean.
Answer:
x=35°
Step-by-step explanation:
So first, recall that the interior angles of a triangle must total 180°.
The sum of the angles for the given triangle can be described by:
Since the total must equal 180°, set the expression equal to 180°.
To find the value of x, we just need to solve for x.
To start, subtract 110 from both sides. The 110s on the left cancels:
Now, divide both sides by 2. The 2s on the left cancel.
Therefore, the value of x is 35°.
Answer:
150°
Step-by-step explanation:
You are given the formula for the sum of the interior angles where n is the number of sides.
Substitute 12 in:
(12-2)×180
=10×180
=1800
To find an individual angle, divide the sum by n.
1800÷12=150
Answer:
9, 11, 13
Step-by-step explanation:
We can rephrase an odd number into an algebraic equation of (2n+1)
Therefore, 3 consecutive odd numbers would be written as:
(2n+1), (2n+3), (2n+5)
We can then rewrite the question as:
3 x (2n+1) = 2 x (2n+5) + 1
Work out the equation to find n:
6n + 3 = 4n + 10 + 1
(minus 4n from both sides)
2n + 3 = 11
(minus 3 from both sides)
2n = 8
(divide both sides by 2 to get)
n = 4
To find the original 3 consecutive numbers, we just input (4) into (2n+1), (2n+3), (2n+5) to get:
(8+1), (8+3), (8+5)
= 9, 11 and 13
Answer:
see below
Step-by-step explanation:
Volume is the product of the three dimensions: length, width, and height.
The numbers in the three columns need to have a product of 12. Your knowledge of multiplication tables lets you fill in the missing factors easily.
