Given:
5) The expressions are
7) The expression is
To find:
5) Whether the given expressions are equivalent.
7) simplified form of given expression.
Solution:
5)
First expression is
Second expression is
Third expression is
Therefore, the simplified forms of given expressions are respectively. It means only first and second expressions and equivalent.
7)
We have,
Therefore, the simplified form of given expression is .
Answer: s=-8
Step-by-step explanation:
−
9
4
=
2
+
7
4
−
9
4
−
7
4
=
2
+
7
4
−
7
4
=
−
8
Answer:
Step-by-step explanation:
Let m denotes the number of minutes of phone use in a month.
In plan a there is no monthly fee, but the customer pays 8 cents per minute of use.
Total cost of plan a =
In Plan B the customer pays a monthly fee of $2.40 and then an additional 7 cents per minute of use.
Total cost of plan b =
To find amount of monthly phone use for which plan a cost more than plan b, solve the inequality .
Answer:
4.5cm^2
Step-by-step explanation:
To find area of a triangle the formula is --> 1/2 base times height
so 3cm x 3cm = 9cm and divide by 2 --> 4.5 cm^2
The probability of randomly selecting an order that has at least 760
calories is 0.16
Step-by-step explanation:
The number of calories in an order of poutine at a certain fast food
restaurant is approximately normally distributed
1. The mean "μ" is 740 calories
2. The standard deviation "σ" is 20 calories
3. We need to find the probability of randomly selecting an order that
has at least 760 calories (x ≥ 760)
At first let us calculate z-score
∵ z = (x - μ)/σ
∵ x = 760 calories
∵ μ = 740 calories
∵ σ = 20 calories
∴ z =
Use the normal distribution table of z (area to the left of z-score) to
find the corresponding area to z-score of 1
∵ The area corresponding of z = 1 is 0.84134
∵ We interested in x ≥ 760, we need the area to the right of z-score
∴ P(x ≥ 760) = 1 - 0.84134
∴ P(x ≥ 760) = 0.15866 ≅ 0.16
The probability of randomly selecting an order that has at least 760
calories is 0.16
Learn more:
You can learn more about probability in brainly.com/question/2264295
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