What is the percentage chance of choosing someone who owns a cat from this group?

Answer:

5778

Step-by-step explanation:

1+2+3+4+5+....+105+106+107

The sequence of numbers (1, 2, 3, … , 107) is arithmetic and when we are looking for the sum of a sequence, we call it a series. Thanks to Gauss, there is a special formula we can use to find the sum of a series:

S=n(n+1)/2=11556÷2=5778

S is the sum of the series and n is the number of terms in the series, in this case, 107

There are other ways to solve:

This is an arithmetic series, for which the formula is:

S = n[2a+(n-1)d]/2

where a is the first term, d is the difference between terms, and n is the number of terms.

For the sum of the first 107 whole numbers:

a = 1, d = 1, and n = 107

Therefore, sub into the formula:

S = 107[2(1)+(107-1)(1)]/2 =

107(2+106)/2=107*108/2=5778

so she blow out 5778 candless during her lifetime

Answer:

range is {-2, 0, 1, 3}

Step-by-step explanation:

Range is all the y's. Those are the second number in each ordered pair. I put them smallest to biggest, but it doesn't have to be. All the y-numbers in the set brackets should work for correct.

Answer:

How do you write an equation for problem solving?Here are some steps to follow:Understand the problem. Understand all the words used in stating the problem. Understand what you are asked to find. ... Translate the problem to an equation. Assign a variable (or variables) to represent the unknown. ... Carry out the plan and solve the problem.

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

the probability of landing on 6 is 1/6 and the probability of a tails is 1/2, so 1/6*1/2=1/12

Answer:

I found the full question online, the answer is 5.4 = 3.6 + x

Answer: B

Step-by-step explanation:

Group the variables together: 3i + 2i -3i = -4i

Then for the fractions: 3/4 - 9/3 = -9/4

Answer:

B. (-9/4 -4i)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

(1:2)x2=9/18

yes the ratios 9:18 and 1:2 equivalent

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We need to check whether the ratios 9:18 and 1:2 are equivalent.

Equivalent ratios are the ratios that are the same when we compare them.

Two or more ratios can be compared with each other to check whether they are equivalent or not.

Here the two ratios are 9:18 and 1:2

We can write 9:18 as fraction 9/18

When we simplify it we get 1/2

Hence, yes the ratios 9:18 and 1:2 equivalent

To learn more on Ratios click:

https://brainly.com/question/13419413

#SPJ2

Answer:

Plants absorb nitrates from nearby soils to create proteins. Fertilizer also helps because it makes the soil even richer, allowing for more nitrates, which means more proteins.

Answer:

35.65 acres

Step-by-step explanation:

Answer:

35.65 acres

Step-by-step explanation:

Just divide 142.6 by 4 for the (four people)

Answer:

I need more context.

Step-by-step explanation:

Answer:

Step-by-step explanation:

the distance between the two points are 11.

the slope is m=0

Answer:

11 units

Step-by-step explanation:

[tex]Solution,\\\\Let,\\\\(x_1,y_1)=(-7,-6)\\\\(x_2,y_2)=(4,-6)\\\\Now,\\\\Using\:distance\:formula,\\\\\hookrightarrow d=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2} } \\\\\hookrightarrow d=\sqrt{(4-(-7))^{2} +(-6-(-6))^{2} } \\\\\hookrightarrow d=\sqrt{(11)^{2} +(0)^{2} }\\\\\hookrightarrow d=\sqrt{121} \\\\\hookrightarrow d=11\: units[/tex]

Answer:

V=72

Step-by-step explanation:

4x6=24

24x3=72

WxBxH=V

B=6

W=3

H=4

Answer:

what is force ? write its S.I unit

Answer:

yeah sure

Step-by-step explanation:

Answer:

Equivalent fractions are the fractions that have different numerators and denominators but are equal to the same value. For example, 2/4 and 3/6 are equivalent fractions, because they both are equal to the ½. A fraction is a part of a whole.

2/6

3/9

4/12

Step-by-step explanation:

1 × 2 / 3 × 2 = 2/6

1 × 3 / 3 × 3 = 3/9

1 × 4 / 3 × 4 = 4 /12

Answer:

2/6

Step-by-step explanation:First, you multiply both numbers then you have 2/6. :)

Answer:

○ D. [tex]\displaystyle -8, -3, 1, 5[/tex]

Explanation:

The greatest negative quantity will ALWAYS be the least. That is all there is to it. ‍♂️

I am joyous to assist you at any time.

Answer:

He would get there at 1:15 (I did this in my head, may be wrong)

Step by step solution:

We know the motorist left home at 10. We can divide the 260/80 and we get 3 hrs, we still have 20 km left over, keep on dividing and you get 1:15 p.m.

Answer:

B

Step-by-step explanation:

Answer:

-12

cause l12l is 12 then u add the negative sign.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

3x+6=4-2x

3x+2x=6+4

5x=10

x=10/5

x=2

23.23 - 5.25 = 17.98

d = 17.98 ÷ 2

d = 8.99

The answer is B. $8.99

Answer:

12 ounce of cereal it will be a far one

Answer: T

Step-by-step explanation:

Answer:

wow

Step-by-step explanation:

Answer with step-by-step explanation:

Step 1: $14,00 - $3,500 + $108,570 = $10,500 + $108,750 = $119,250

Step 2: 7% of $119,250 = $8,347.50

Step 3: $119,250 + $8,347.5 = $127.597.50

Hope this was helpful! (brainliest please)

Answer:

A

Step-by-step explanation:

Translates up 2 right 3.

Rotates 180 degrees.

Answer:

B. Car A

Step-by-step explanation:

To find the unit rate divided 374 and 17

374 ÷ 17 = 22

Car B 22 miles per gallon

Car A 23.7 miles per gallon

Car A is a better by because it has more mileage.

Using the exp-log technique,

[tex]\displaystyle \lim_{n\to\infty} \frac{\left(1 \times 2^2 \times 3^3 \times \cdots \times n^n\right)^{\frac1{n^2}}}{n^{\frac{n+1}{2n}}}[/tex]

[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \frac{\ln\left(\prod\limits_{k=1}^n k^k\right)}{n^2} - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]

[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \frac{\sum\limits_{k=1}^n k\ln(k)}{n^2} - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]

We have ln(k) = ln(k/n) + ln(n), and so we can rewrite the limand as

[tex]\displaystyle = \exp\left(\lim_{n\to\infty} \left(\frac1n \sum\limits_{k=1}^n \frac kn \ln\left(\frac kn\right) + \frac{\ln(n)}{n^2} \sum_{k=1}^n 1 - \frac{n+1}{2n} \ln(n)\right)\right)[/tex]

Then the first sum converges to a definite integral,

[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{k=1}^n \frac kn \ln\left(\frac kn\right) = \int_0^1 x \ln(x) \, dx = -\frac14[/tex]

while the remaining terms vanish since

[tex]\displaystyle \frac{\ln(n)}{n^2} \sum_{k=1}^n 1 = \frac{\ln(n)}{n^2} \times \frac{n(n+1)}2 = \frac{n+1}{2n}\ln(n)[/tex]

So the limit is [tex]\boxed{e^{-1/4}}[/tex].

Since

[tex]\dfrac1{x(x+1)} = \dfrac1x - \dfrac1{x+1}[/tex]

it's easy to show that the integral reduces to

[tex]\displaystyle \int_k^{k+1} \frac{k+1}{x(x+1)} \, dx = (k+1) \ln\left(\dfrac{(k+1)^2}{k(k+2)}\right)[/tex]

so we can write the sum as

[tex]I = \displaystyle \sum_{k=1}^{98} \int_k^{k+1} \frac{k+1}{x(x+1)} \, dx = \sum_{k=2}^{99} k \ln\left(\frac{k^2}{k^2-1}\right)[/tex]

We have k²/(k² - 1) > 1 for all k, so that ln(k²/(k² - 1)) > ln(1) = 0. We can see the first 3 terms of the sum already exceed 1 > 49/50, so (D) is true.

Numerical computation of the sum suggests I < ln(99), but I have yet to come up with an analytical solution for this bound...