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Natali5045456 [20]
3 years ago
5

What is the value of x? Do not round the answer.

Mathematics
1 answer:
inysia [295]3 years ago
6 0

Answer:

Step-by-step explanation:

By definition, CD is an angle bisector.  What that does is creates proportionality between the sides of each respective triangle.  Here's the proportion:

\frac{4}{3} =\frac{7.5}{x}

Cross multiply to get 4x = 22.5  and

x = 5.625

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16 students are percussionist which is 20% of the students how many students are in band
11Alexandr11 [23.1K]

Answer:

80 Students are in the band class

Step-by-step explanation:

I did this mentally so sorry if it is bad

16 = 20%

+

16 = 20%

= 40% 32 students

40% +40% = 80%

32+ 32 = 64

80+20%

64+16

80 Students are in the band class

5 0
3 years ago
They are arranged randomly because manual typewriters tended to jam if the user typed too fast - therefore the arrangement was i
solmaris [256]

Answer:

Huh

Step-by-step explanation:

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3 years ago
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If X = 4 units, Y = 3 units, and Z = 10 units, then what is the volume of the triangular pyramid shown above?
Levart [38]

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Step-by-step explanation:

5 0
2 years ago
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

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

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
Is one third rational or irrational
Zinaida [17]
One third is a rational number....since it can be written in p/q form(1/3)
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3 years ago
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