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4 years ago

What is 4 6/8+11 1/3

2 answers:

6 0

So 4 6/8= (32/4)+6/8=38/8
11 1/3=(33/3)+1/3=34/3
so 38/8+(34/3)

to add you must get the bottom number equall so

114/24+272/24=386/24=16 1/12

valkas [14]4 years ago

4 0

Well, first of all you would need to find common denominators. Obviously 8 and 3 have a common denominator of 24, because 8 times 3 equals 24. Now, for the 4 6/8 the whole number (4) would stay the same, but the fraction would turn into 18/24 because you multiplied the denominator by three, and whatever you do to the bottom you must do to the top. For the 11 1/3 it would be 11 8/24 because the whole number (11 would stay the same while, again, you multiply both the top and bottom by 8. So, the problem would turn into 4 18/24 + 11 8/24, which equals 15 26/24. This would then simplify to 18 23/24.

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A spherical party balloon is being inflated with helium pumped in at a rate of 10 cubic feet per minute. How fast is the radius

Anastaziya [24]

Answer:

The radius is growing at a rate of $\frac{dr}{dt} = \frac{10}{4 \pi} = 0.795$ ft per minute.

Step-by-step explanation:

From the information given we know that

$\frac{dV}{dt} = 10$

And we know as well that .

$V = \frac{4}{3} \pi r^3$

Since everything is changing with the time we can compute the implicit derivative and we would get that

$\frac{dV}{dt} = 10 = 4\pi r^2 \frac{dr}{dt}$

We are told that we are looking for how fast is the radius growing at the instant when the radius has reached 1 ft, therefore $r = 1.$

And when we solve for $\frac{dr}{dt} = \frac{10}{4 \pi} = 0.795$

3 0

3 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

Sergio [31]

Using the binomial distribution, it is found that:

a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

The values of the parameters are given as follows:

n = 18, p = 0.267.

Item a:

The probability is P(X = 6), hence:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{18,6}.(0.267)^{6}.(0.733)^{12} = 0.1618$

There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.

Item b:

The probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).

Then:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.267)^{0}.(0.733)^{18} = 0.0037$

$P(X = 1) = C_{18,1}.(0.267)^{1}.(0.733)^{17} = 0.0245$

$P(X = 2) = C_{18,2}.(0.267)^{2}.(0.733)^{16} = 0.0758$

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.

There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.

item c:

We have to look at the mean and the standard deviation, given, respectively, by:

E(X) = np = 18 x 0.267 = 4.81.

$\sqrt{V(X)} = \sqrt{18(0.267)(0.733)} = 1.88$

9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

6 0

2 years ago

What is the solution set?<br><br> 2x−6>12<br><br> <br><br> Enter your answer in the box.

irina1246 [14]

Yo sup??

2x-6>12

2x>18

x>9

therefore solution set is

x belongs to (9,infinity)

Hope this helps

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3 years ago

Figure ABCD on the coordinate pione below represents Danield's backyard. Each unit

Airida [17]

Answer:

12 meters

Step-by-step explanation:

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3 years ago

If the perimeter of a rectangular picture frame must bc less than 200 in. and the width is 36 in. what must the height h of the

dmitriy555 [2]

The perimeter of a rectangle is given by

$2w+2h = 2(w+h)$

We know that the width is 36, and the perimeter must be less than 200, so we have

$2(36+h) < 200$

Divide both sides by 2:

$36+h$

Subtract 36 from both sides:

$h$

The height must be less than 64.

6 0

3 years ago