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3 years ago

Jonny has 16 bottles of dish soap. Why does he have so many bottles of dish soap?

Mathematics

1 answer:

____ [38]3 years ago

6 0

Answer:

Possible answers

A lot of dishes he has to do

He selling it
He has no shampoo or body wash so washes up with dish soap
Pranking someone with it

I dont know <:)

Step-by-step explanation:

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What angles could we find sine and cosine for using information for π/4 and π/6?

liberstina [14]

Had to do a bit of guesswork to figure out what you're asking here. If you're given the 2 angles pi/4 and pi/6, you can find any trig function of either angle.

The sine of pi/4 is 1 / sqrt(2); the cosine is the same.

The cosine of pi/6 is sqrt(3) / 2; the sine of pi/6 is 1/2.

If this isn't quite what you were looking for, try paraphrasing your question to make it clearer.

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3 years ago

On the number line below length AB={?}

Lyrx [107]

here the length AB is the difference between 17 and -34.

i.e. AB=17-(-34)=17+34=51 units

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4 years ago

2. A bag contains 5 red marbles, 3 blue marbles, 6 white marbles, and 2 green marbles.

Georgia [21]

Answer:

Step-by-step explanation:

5 red

3 blue

6 white

2 green

total 16 marbles.

Note: P(E) = probability of event E happening

P(~E) = probability of event E NOT happening.

We usually leave probabilities in fractions whenever possible because they will not be subject to round-off errors.

A. choose one marble at random.

P(W) = 6 white / 16 total = 3/8

B. choose one marble at random.

P(~R) = (16-5)/16 = 11/16

C. choose one marble at random, then a second one without replacement,

there will be 3 blue out of 16 at the beginning, then if successful, there will be 2 blue out of 15.

P(BB) = (3/16)*(2/15) = 1 / 40

D. choose two with replacement

5 red out of 16 for first draw, still 5 red out of 16 for second draw.

P(RR) = (5/16)^2 = 25/256

5 0

3 years ago

In a sample of 1100 U.S. adults, 208 think that most celebrities are good role models. Two U.S. adults are selected from this s

DedPeter [7]

Answer:

a) 3.56% probability that both adults think most celebrities are good role models.

b) 65.74% probability that neither adult thinks most celebrities are good role models.

c) 34.26% probability that at least one of the two adults thinks most celebrities are good role models.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the adults are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

(a) Find the probability that both adults think most celebrities are good role models.

Desired outcomes:

Think most celebrities are good role models, so 2 from a set of 208. Then

$D = C_{208,2} = \frac{208!}{2!(208-2)!} = 21528$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{21528}{604450} = 0.0356$

3.56% probability that both adults think most celebrities are good role models.

(b) Find the probability that neither adult thinks most celebrities are good role models.

Desired outcomes:

2 from a set of 1100 - 208 = 892. Then

$D = C_{892,2} = \frac{892!}{2!(892-2)!} = 397386$

Total outcomes:

Two adults from a set of 1100. Then

$T = C_{1100,2} = \frac{1100!}{2!(1100-2)!} = 604450$

Probability:

$p = \frac{D}{T} = \frac{397386}{604450} = 0.6574$

65.74% probability that neither adult thinks most celebrities are good role models.

(c) Find the probability that at least one of the two adults thinks most celebrities are good role models.

Either neither think, or at least one does. The sum of the probabilities of these events is 100%.

From b), 65.74% probability that neither think.

65.74 + p = 100

p = 100 - 65.74

p = 34.26

34.26% probability that at least one of the two adults thinks most celebrities are good role models.

8 0

3 years ago

daphne has 3 days to drive 932.4 miles . approximately how many miles does she need to drive each day.

Natalka [10]

So you're trying to figure out the number of miles in a day, so you could do:
total miles = miles
total time day
932.4 miles = 310.8 miles per day
3 days

4 0

3 years ago