Jonathan goes to the store and purchases 3 pencils for $0.28 each , and y number of erasers for $0.38 each . Write an expression
1 answer:
The expression 1.22y is the amount spent by Jonathan.
<u>Step-by-step explanation</u>:
- The cost per pencil = $0.28
∴ The total cost of 3 pencils = 0.283 = $0.84
- The cost per eraser = $0.38
∴ The total cost of y erasers = 0.38y = $0.38y
Jonathan spent = Total cost of pencil + total cost of eraser
⇒ 0.84 + 0.38y
⇒ 1.22y
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There are many ways to do this depending on the property you have to use:
If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
Now you can just add them together to get:
and then simplify your fraction:
or - 
The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.
If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
Now you can just add them together to get:
and then simplify your fraction:
The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.
Answer:
The percentage of the bag that should have popped 96 kernels or more is 2.1%.
Step-by-step explanation:
The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.
The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.
Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.
Compute the probability that a bag popped 96 kernels or more as follows:
Apply continuity correction:
*Use a <em>z</em>-table.
The probability that a bag popped 96 kernels or more is 0.021.
The percentage is, 0.021 × 100 = 2.1%.
Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.