How many sides angles and vertices does a rectangular prism have?

Mathematics

1 answer:

ch4aika [34]3 years ago

4 0

Rectangular prisms have 6 sides, 8 vertices, and 12 edges

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assume that when adults with smartphones are randomly selected 15 use them in meetings or classes if 15 adult smartphones are ra

Tanzania [10]

Answer:

The probability that at least 4 of them use their smartphones is 0.1773.

Step-by-step explanation:

We are given that when adults with smartphones are randomly selected 15% use them in meetings or classes.

Also, 15 adult smartphones are randomly selected.

Let X = Number of adults who use their smartphones

The above situation can be represented through the binomial distribution;

$P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; n = 0,1,2,3,.......$

where, n = number of trials (samples) taken = 15 adult smartphones

r = number of success = at least 4

p = probability of success which in our question is the % of adults

who use them in meetings or classes, i.e. 15%.

So, X ~ Binom(n = 15, p = 0.15)

Now, the probability that at least 4 of them use their smartphones is given by = P(X $\geq$ 4)

P(X $\geq$ 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3)

= $1- \binom{15}{0}\times 0.15^{0} \times (1-0.15)^{15-0}-\binom{15}{1}\times 0.15^{1} \times (1-0.15)^{15-1}-\binom{15}{2}\times 0.15^{2} \times (1-0.15)^{15-2}-\binom{15}{3}\times 0.15^{3} \times (1-0.15)^{15-3}$

= $1- (1\times 1\times 0.85^{15})-(15\times 0.15^{1} \times 0.85^{14})-(105 \times 0.15^{2} \times 0.85^{13})-(455 \times 0.15^{3} \times 0.85^{12})$

= 0.1773

3 0

3 years ago

The domain and range

larisa86 [58]

Domain {3, 4, 0, 4, 3}
Range {-2, 4, -2, 1, 2}

hope it helps

5 0

3 years ago

If all three riders travel for 3.5 hours at the same speed as their last ride, how many total miles will the 3 riders travel alt

marshall27 [118]

Would it be 7
key word:Altogether meaning "add"
so 3.5 + 3.5 = 7.0 miles

lmk if im wrong

8 0

3 years ago

Calculate the ratio of surface area to volume of an imaginary cubic cell measuring 4mm long on each side

Mkey [24]

Step-by-step explanation:

Surface area of cubic cell

$= 6(side)^{2} \\ = 6 \times {4}^{2} \\ = 6 \times 16 \\ = 96 \: {mm}^{2} \\ \\ volume \: of \:cubic \: cell \\ = {(side)}^{3} \\ = {4}^{3} \\ = 64 \: {mm}^{3} \\$