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3 years ago

A child has 11 stuffed animals. How many ways can she choose 3 animals to take along with

Mathematics

2 answers:

Leto [7]3 years ago

5 0

Step-by-step explanation:

se can take 3 3 3 4 times for each animal that is stuffed in different baga

Lina20 [59]3 years ago

5 0

Answer:

165 ways

Step-by-step explanation:

$\binom{n}{m}$

That notation is read "n choose m", and it indicates the number of ways one can choose m objects from a collection of n objects, if we don't care about "order".

So in your case we have

$\binom{11}{3}$

which in terms of a "factorial" notation is

11! / 3! × (11-3)!

11×10×9×8! / 3! × 8!

990 / 3

165

I've just assumed that you know what factorial means. If you don't, feel free to ask me.

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STatiana [176]

Answer:

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3 years ago

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you

uysha [10]

Answer:

19.44 hours, about 19 hours 26 minutes

Step-by-step explanation:

The exponential equation that describes your caffeine level can be written as ...

c(t) = 120·(1 -0.12)^t . . . . where t is in hours and c(t) is in mg

We want to find t for c(t) = 10, so ...

10 = 120(0.88^t)

10/120 = 0.88^t . . . . . . . divide by 120

log(1/12) = t·log(0.88) . . . take logarithms

t = log(1/12)/log(0.88) ≈ 19.4386

It will take about 19.44 hours, or 19 hours 26 minutes, for the caffeine level in your system to decrease to 10 mg.

3 0

4 years ago

During the first 13 weeks of the television season, the Saturday evening 8:00 p.m. to 9:00 p.m. audience proportions were record

SpyIntel [72]

Part 1: Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

Part 2:

H0:

Ha:

Part 3: The test statistic is given as 3.0081.

Part 4: The p-value is given as 0.39037

Step-by-step explanation:

As per the data

Part 2

H0:

Ha:

Part 3

As per the sample is of 300 homes, the expected values are given as

ABC=p(ABC)*300=0.30*300=90

CBS=p(CBS)*300=0.27*300=81

NBC=p(NBC)*300=0.26*300=78

IND=p(IND)*300=0.17*300=51

Now the values actually are given as

ABC=94

CBS=71

NBC=88

IND=47

So the test static is given as

So the test statistic is given as 3.0081.

Part 4

Now the degree of freedoms are given as 4-1=3

and chi square is given as 3.0081 so for α = 0.05 , the p-value is given as 0.39037

Part 1.

As the value of p in part 4 is greater than the value of α = 0.05, thus Do not reject H0. There has not been a significant change in the viewing audience proportions.(The above conclusion holds as the p-value is greater than the significance level of 0.05)

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3 years ago

Given the following data set 2,3,1,6,1,1,1,0,2,4,5,1,2,2,3<br>Mean <br>Median <br>Range<br>Mid range

igomit [66]

Answer:

mean: 34/15=2.27

median: 2

range: highest-lowest...... 6-0=6

mid range: high + low divided by 2

6+0=6/2=3

8 0

3 years ago

Read 2 more answers

Choose the expression that represents “divide 0.04 by n.”

zheka24 [161]

Answer:

.04/n=4/100n or 4÷100n

6 0

3 years ago