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Artist 52 [7]
3 years ago
13

Equations - Item 2829

Mathematics
1 answer:
hammer [34]3 years ago
3 0

The formula is used to find the diameter of circle is: d = \frac{C}{3.14}

The diameter of circle is 5.1 cm

<em><u>Solution:</u></em>

Given that,

Circumference (C) of a circle is 16 cm

<em><u>The formula for circumference of circle when diameter is given is:</u></em>

C = \pi d\\\\\pi \text{ is a constant equal to 3.14}\\\\C = 3.14d

<em><u>Rearrange the formula to get "d"</u></em>

Divide both sides by 3.14

d = \frac{C}{3.14}

The above formula is used to find the diameter of circle

Given that, circumeference = C = 16 cm

Substituting we get,

d = \frac{16}{3.14}\\\\d = 5.095 \approx 5.1

Thus diameter of circle is 5.1 cm

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The measure of C if a=6 and b=9.
kirill115 [55]

Answer:

c=3\sqrt{13}

Step-by-step explanation:

Pythagorean Theorem: In the right triangle the square of longer side is equal to the sum of the squares of other sides.

c^2=a^2+b^2\\\\c^2=6^2+9^2\\\\c^2=36+81\\\\c^2=117\\\\c^2=3\times 3\times 13\\\\c=\sqrt{3\times 3\times 13}\\\\c=3\sqrt{13}

3 0
4 years ago
What’s the answer for #5 everyone keeps putting different answers
Andru [333]
I think the answer is 142
3 0
4 years ago
The average of five numbers is 12.4. the average of four of these numbers is 11. what is the value of the fifth number?
wariber [46]

average of 4 numbers is 11 so 11*4 = 44

average of 5 numbers is 12.4 so 12.4*5 = 62

the 5th number = 62-44 = 18

3 0
4 years ago
Read 2 more answers
Look at the picture,what are the answers for the two
never [62]

Answer:11.8

Step-by-step explanation:

(9x+5)=112

9x=107

X=11.8

Hope I’m right

5 0
3 years ago
A research team conducted a study showing that approximately 20% of all businessmen who wear ties wear them so tightly that they
Masteriza [31]

Answer:

1. 0.9648

2. 0.602

3. 0.0352

4. 0.398

Step-by-step explanation:

We solve using binomial probability

n = 15

P = 20% = 0.2

1. At least 1 is tight

= P(X>=1)

P(X>=1) = 1-p(X= 0)

= P(x=0)

= 15C0(0.20)⁰(1-0.20)^15-0

= 15C0(0.20)⁰(80)¹⁵

= 0.0352

P(x>=1) = 1-0.0352

= 0.9648

2.

More than 2 ties tight

P(X>2)

P(X>2) = 1-p(X<=2)

p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= p(x=0) = 0.0352

p(x=1) = 15C1(0.20)¹(0.80)¹⁴

= 0.1314

p(x=2) = 15C2(0.20)²(0.80)¹³

= 0.2309

P(x>2) = 1-(0.0352+0.1314+0.2309)

= 0.602

3.

No ties is tight

P(X = 0)

= 15C0(0.20)⁰(0.80)¹⁵

= 0.0352

4.

At least 3 are not tight

This says that at most we have 3 to be too tight

= p(X<=2) = p(x=0) + p(x=1) + p(x=2)

= 0.0352+0.1319+0.2309

= 0.398

7 0
3 years ago
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