The formula for finding the circumference of a circle is $c=\pi *d$ (where d is the diameter). So, simply plugging in 622 mm for d and 3.14 for pi, we find that c = 622 * 3.14 = 1953.08 mm.

3 0

2 years ago

Read 2 more answers

Round 56,477,812 to the nearest hundred thousand,

GrogVix [38]

Answer:

56,500,000.

Step-by-step explanation:

56,477,812 rounded to the nearest hundred thousand:

The 4 is in the hundred thousands place, so we'll look at the next digit to the right of that, which is the 7:

56,477,812

Since 7 is more than 5, we'll have to go up a number, which will be the 4. Afterwards, we'll have to replace all the digits after the 4 with zeros.

56,500,000.

8 0

2 years ago

Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.

Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

$P=1-(1-p)^{n}$

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

$P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177$

8 0

2 years ago

Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).

ad-work [718]

<h3>Conner work is correct. Jana work is wrong</h3>

Solution:

Given that,

Conner and Jana are multiplying:

$(3^56^8)(3^96^{10})$

Given Conner's work is:

$(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}$

We have to check if this work is correct

Yes, Conner work is correct

From given,

$(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}$

Use the following law of exponent

$a^m \times a^n = a^{m+n}$

Therefore,

$3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}$

Given Jana's work is:

$(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}$

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0

2 years ago