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3 years ago

What is the volume of a sphere with a radius of 6 mm?

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

Maybe 6 but I’m not sure.

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What is the ratio of x to y (simplest form) x= 2 y=6 x=5 y=15 x=8 y=24

bazaltina [42]

The ration of x to y is 1:3 if you divide 2:6 by its gcf (2), you get 1:3.

5 0

3 years ago

How many ways can a 2 person subcommittee be selected from a comittee of 6 people?

BaLLatris [955]

Answer: 15 ways

Step-by-step explanation: 5+4+3+2 + 1 = 15

8 0

2 years ago

Read 2 more answers

The length of human pregnancies from conception to birth follows a distribution with mean 266 days and standard deviation 15 day

Katena32 [7]

Answer:

a) 81.5%

b) 95%

c) 75%

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 266 days

Standard Deviation, σ = 15 days

We are given that the distribution of length of human pregnancies is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(between 236 and 281 days)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{281-266}{15})\\\\= P(-2 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -2)\\= 0.838 - 0.023 = 0.815 = 81.5\%$

b) a) P(last between 236 and 296)

$P(236 \leq x \leq 281)\\\\= P(\displaystyle\frac{236 - 266}{15} \leq z \leq \displaystyle\frac{296-266}{15})\\\\= P(-2 \leq z \leq 2)\\\\= P(z \leq 2) - P(z < -2)\\= 0.973 - 0.023 = 0.95 = 95\%$

c) If the data is not normally distributed.

Then, according to Chebyshev's theorem, at least $1-\dfrac{1}{k^2}$ data lies within k standard deviation of mean.

For k = 2

$1-\dfrac{1}{(2)^2} = 75\%$

Atleast 75% of data lies within two standard deviation for a non normal data.

Thus, atleast 75% of pregnancies last between 236 and 296 days approximately.

7 0

3 years ago

Which is equal to log base 2n=4

o-na [289]

To solve this problem you must apply the proccedure shown below:

1. You have the following logarithm:

log(2)n=4

2. Therefore, you con rewrite it as below:

loga(b)=logb/loa

3. Therefore, you have:

log(2)n=4⇒log(n)/log(2)=4

4. Then, you obtain:

log(n)=4log(2)

5. Therefore, as you can see, the answer for the exercise shown above is the last option, which is:

log(n)=4log(2)

4 0

3 years ago

Read 2 more answers

rail fares go up by 10%, and josie’s new season ticket to london costs £1342. calculate how much more she has to pay now than sh

Naya [18.7K]

Answer:

£134.2 more

Step-by-step explanation:

Divide 1342 by 100

Then you get 13.42

Times that by 10 and £134.2 is 10%

6 0

2 years ago