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3 years ago

Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

5 0

<h3>Solution:</h3>

$\tan(x) = \frac{15}{8} \\ x = \arctan(\frac{15}{8}) \\ x ≈ 61.93$

<h3>Answer:</h3>

$61.93$

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A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

4 0

3 years ago

A student loan you took out is due in 3 years and requires repayment of $3,000. To pay off the loan, you set aside money in an a

damaskus [11]

Answer:

P = $2448.89

P ~= $2,449

He need to deposit $2,449

Step-by-step explanation:

Given:

Interest rate r= 7% = 0.07

Number of years n = 3 years

Future value that should be meet A = $3000

We need to calculate the initial investment (Principal P). Using the compound interest formula:

A = P(1+r)^n

P = A/(1+r)^n

Substituting the values of A, r, n, we have;

P = 3000/(1+0.07)^3

P = $2448.89

P ~= $2,449

7 0

3 years ago

if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?

Setler79 [48]

Volume of cone=1/3 times height times pir^2
v=15
r=3
15=1/3 hpi3^2
15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
pi=aprox 3.14
5/3.14=1.59

1.59 ft

4 0

3 years ago

What is the simplified form of -5 to the -2 power?

SOVA2 [1]

The answer is 10 hope this helps

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3 years ago

Find the slope and y-intercept.

Simora [160]

Answer:

ganyan po ba yung tamang sagot

6 0

2 years ago