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aleksandrvk [35]
3 years ago
5

Jake is going to call one person from his contacts at random. He has 303030 total contacts. 161616 of those contacts are people

he met at school.
What is \text{P(call a person from school})P(call a person from school)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, f, r, o, m, space, s, c, h, o, o, l, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Mathematics
1 answer:
Travka [436]3 years ago
4 0

Answer:

0.53

Step-by-step explanation:

I think the question is:

Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.

What is call a person from school?

If necessary, round your answer to 2 decimal places.

The probability of choosing a contact from school is 16/30, which is equivalent to 8/15. That is about 0.53333, with a repeating decimal. So, if you round that to 2 decimal places, it is 0.53.

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Here is a triangular pyramid and its net.
galben [10]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

8 0
3 years ago
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Answer:

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ASHA 777 [7]

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Step-by-step explanation:

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A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of
maw [93]

Answer:

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Step-by-step explanation:

The problem tells us that the length and width of these boxes are both 4 inches less than the height of the box.

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V = h (h-4)(h-4)

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Therefore, the polynomial representing the volume of this box in terms of the height is h³- 8h² + 16h

5 0
3 years ago
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