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3 years ago

Use the figure to find n please.

Mathematics

2 answers:

ira [324]3 years ago

4 0

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig

tan theta = opp /adj

tan 30 = n / 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Sergio039 [100]3 years ago

3 0

Now we have to,

find the required value of n.

Now we can,

Use the trigonometric functions.

→ tan(θ) = opp/adj

Let's find the required value of n,

→ tan (θ) = opp/adj

→ tan (30) = n/5√3

→ n = 5√3 × tan (30)

→ n = 5√3 × √3/3

→ n = 5√3 × 1/√3

→ [n = 5]

Hence, the value of n is 5.

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Select the correct answer.

Butoxors [25]

Answer:

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Step-by-step explanation:

Line up 192 months on the x-axis with the line of best fit then run it across to the y-axis and it should be around 163 seconds.

8 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

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 = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0

3 years ago

Help Please!<br> I only have 52 minutes and I really don’t understand this

Paraphin [41]

Answer:

the first answer

Step-by-step explanation:

5 0

3 years ago

Please help if u know the answers quarter ends in two days !!!

MatroZZZ [7]

Answer:

5A) radius = 9 ft

5B) diameter = 18 ft

5C) fencing length = 56.52 ft

5D) 6.35 days

Step-by-step explanation:

Radius is given when it is 9 ft of rope (outside to center of circle)

Diameter is two times radius = 18.

Circumference(fence length) = 2 * 3.14 * 9 = 56.52.

Area circle = 3.14*(9*9) = 254.34. 254.34/40 = 6.35

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

7 0

3 years ago

A visitor makes a list of 11 sights he’d like to see. He is determined to visit at least 8 of these. How many possible choices d

Cerrena [4.2K]

Using the combination formula, it is found that he has 232 choices.

The order in which the sights are seen is not important, hence the <em>combination formula </em>is used to solve this question.

<h3>What is the combination formula?</h3>

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

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

In this problem, the choices are 8, 9, 10 or 11 sights from a set of 11, hence:

$T = C_{11,8} + C_{11,9} + C_{11,10} + C_{11,11} = \frac{11!}{3!8!} + \frac{11!}{2!9!} + \frac{11!}{10!1!} + \frac{11!}{0!11!} = 232$

He has 232 choices.

You can learn more about the combination formula at brainly.com/question/25821700

4 0

2 years ago