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igor_vitrenko [27]
2 years ago
8

The results of a standardized test are normally distributed. The mean test score is 312. Of the scores, 16% are under 307. What

is the standard deviation?
A: 10

B:5​
Mathematics
1 answer:
amid [387]2 years ago
4 0

Answer:

the answer is B five

Step-by-step explanation:

three hundred and seven minus three hundred and twelve

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A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
7nadin3 [17]

Answer:

Widgets should be sold by $38.88 to maximize the profit.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

f(x) = ax^{2} + bx + c

It's vertex is the point (x_{v}, y_{v})

In which

x_{v} = -\frac{b}{2a}

y_{v} = -\frac{\Delta}{4a}

Where

\Delta = b^2-4ac

If a<0, the vertex is a maximum point, that is, the maximum value happens at x_{v}, and it's value is y_{v}.

In this question:

The profit is given by:

y = -9x^2 + 700x - 6005

Which is a quadratic function with a = -9, b = 700, c = -6005

The maximum profit happens at the x of the vertex. Thus

x_{v} = -\frac{b}{2a} = -\frac{700}{2(-9)} = 38.88

Widgets should be sold by $38.88 to maximize the profit.

7 0
3 years ago
Write the following integers in order from greatest to least. -3, 0, -2, -8, +3
Over [174]

The following integers from the greatest to least are as follows:

+3, 0, -3, -2, -8

4 0
3 years ago
Read 2 more answers
A square dinner napkin 8in. on each side is folded along its diagonal. Find the area of the folded napkin.
Anvisha [2.4K]
Since you need to find the area of a square napkin, you need to know what the formula for a square is. It is height multiplied by base. So a square is equal in all sides. 8×8=64
Answer: 64 in²
8 0
3 years ago
Simplify the following expression using distributive property <br> -2(x-8)
MariettaO [177]
The answer to -2(x-8) is 16-2x
8 0
2 years ago
Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?
Aliun [14]

Answer:

(x-7)(x-\sqrt{5})(x+\sqrt{5})

Step-by-step explanation:

The given expression is

x^3-7x^2-5x+35

Factor the first two and the last two.

x^2(x-7)-5(x-7)

(x-7)(x^2-5)

Apply difference of two squares to the leftmost factor.

(x-7)(x-\sqrt{5})(x+\sqrt{5})

7 0
3 years ago
Read 2 more answers
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