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frozen [14]
3 years ago
6

Select all true statements for the triangle shown.

Mathematics
2 answers:
Mandarinka [93]3 years ago
8 0

Answer:

A and C

Step-by-step explanation:

Just did it on  edge

PIT_PIT [208]3 years ago
4 0

Answer:

True Statement are

\sin E =\dfrac{11}{\sqrt{185}}

\sin D =\dfrac{8}{\sqrt{185}}

Step-by-step explanation:

Given:

DF = 11

EF = 8

DE = \sqrt{185}=Hypotenuse

In Right Angle Triangle DEF, the Sine Identity is

\sin D = \dfrac{\textrm{side opposite to angle D}}{Hypotenuse}\\

Substituting the values we get

\sin D = \dfrac{EF}{DE}=\dfrac{8}{\sqrt{185}}

\sin D =\dfrac{8}{\sqrt{185}} ....True

And also,

\sin E = \dfrac{\textrm{side opposite to angle E}}{Hypotenuse}\\

Substituting the values we get

\sin E = \dfrac{DF}{DE}=\dfrac{11}{\sqrt{185}}

\sin E =\dfrac{11}{\sqrt{185}} ....True

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If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Marta_Voda [28]

Answer:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

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 "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

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 for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

P(X \geq 7) = P(X=7) +P(X=8)=0.3826 +0.4305=0.8131

7 0
3 years ago
Read 2 more answers
Write the equation of a line that is
prisoha [69]

Answer:

y=3/2

Step-by-step explanation:

This line's slope is perpendicular to -2/3 and its y intercept is 0.

4 0
3 years ago
At a real estate agency, an agent sold a house $348,000. The commission rate is 6.5% for the real estate agency and the commissi
shutvik [7]

Step-by-step explanation:

Hope it helpful to you ok good morning

8 0
3 years ago
Someone help please this is for trigonometry
Softa [21]
Hi there!

Something really good to remember about trigonometry is SOHCAHTOA. I won’t dive into too much detail about it, but you should google it for future assignments.

Anyways,

tan50°=14/AB
ABtan50°=14
AB=14/tan50°
AB=11.75

cos50°=14/AC
ACcos50°=14
AC=14/cos50°
AC=21.78

For the measure of angle C you can use a theorem called the third angle theorem. In every single possible triangle, the sum of all three angles adds up to 180°. You can set up an equation like so...

angleC=180-(90+50)
angleC=180-140
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4 0
3 years ago
Line d is parallel to line c in the figure below.
Lubov Fominskaja [6]

Answer:

gas station= 25.12

Step-by-step explanation:

7 0
3 years ago
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