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Assoli18 [71]
3 years ago
7

Which set of values could be the side lengths of a 30-36-90 triangle?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0
You have no values listed.
Also, did you mean a 30-60-90 triangle?

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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 = <em>Number of adults who use their smartphones</em>

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})

= <u>0.1773</u>

3 0
3 years ago
29847839298273827736+83839302839288383
Nikolay [14]

Answer:292820839382

Step-by-step explanation:

282739282992

7 0
3 years ago
Han spent 75 minutes practicing the piano over the weekend. Tyler practiced the clarinet for 64% as much time as Han practiced t
prisoha [69]

Answer: Priya practiced for <u>189 minutes </u>

Tyler practiced for <u>123 minutes </u>

-------------------------------------------------------------------------------------------------------------

The Explanation:  Now, Han spent 75 minutes practicing the piano over the weekend

Then, Priya practiced the violin for 152% as much time as Han practiced the piano.

Priya = 152% of 75 minutes + 75 minutes

= 152/100 × 75 + 75

= 1.52 × 75 + 75

= 114 + 75

= 189 minutes

Finally, Priya practiced for <u>189 minutes</u>

-------------------------------------------------------------------------------------------------------------

Tyler practiced the clarinet for 64% as much time as Han practiced the piano.

Tyler = 64% of 75 minutes + 75 minutes

= 64/100 × 75 minutes + 75 minutes

= 64 / 100 × 75 + 75

= 0.64 × 75 + 75

= 48 + 75

= 123 minutes

Lastly, Tyler practiced for <u>123 minutes</u>

8 0
2 years ago
A pair of shoes weighs 650 grams.decigrams does it weighs
Liula [17]
The answer is 6500 decigrams. I hope that helps
5 0
3 years ago
Read 2 more answers
In the following exercises, multiply the binomials. Use any method.<br> 248. (m + 11)(m − 4)
romanna [79]

Answer:

Hence the expression $$(m+11)(m-4)=m^2+7m-44$$

Step-by-step explanation:

Explanation

  • The given expression is (m+11)(m-4).
  • We have to multiply the given expression.
  • Multiply the (m+11) by -4, multiply the (m+11) by m then add like terms.

$$\frac{\begin{matrix}{} & {} & m & + & 11 \\ \times & {} & m & - & 4 \\ \end{matrix}}

_____________

{\frac{\begin{matrix}{} & - & 4m & - & 44 \\ {{m}^2} & + & 11m & {} & {} \\ \end{matrix}}{\begin{matrix}{{m}^2} & + & 7m & - & 44 \\ \end{matrix}}}$$

6 0
1 year ago
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