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nexus9112 [7]
3 years ago
15

The equation y=10x represents a proportional relationship. What is that constant of proportionality?​

Mathematics
2 answers:
VikaD [51]3 years ago
5 0

Answer:

10

Step-by-step explanation:

lara31 [8.8K]3 years ago
4 0

Answer:

k = 10

Step-by-step explanation:

The standard form of a proportional relationship is

y = kx ← k is the constant of proportion

y = 10x ← is in standard form

with k = 10

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In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

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=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

6 0
3 years ago
In triangle EFG, m of E = 30 degrees, m of F = 60 degrees, and m of G = 90 degrees. Which of the following statements about tria
Effectus [21]

Answer:

A. EG = √3 × FG

D. EG = √3/2 × EF

E. EF = 2 × FG

Step-by-step explanation:

∵ tan 60 = √3

∵ tan60 = EG/GF

∴ EG/GF = √3

∴ EG = √3 × GF ⇒ A

∵ m∠F = 60°

∵ sin60 = √3/2

∵ sin 60 = EG/EF

∴ √3/2 = EG/EF

∴ EG = √3/2 × EF ⇒ D

∵ cos60 = 1/2

∵ cos60 = GF/EF

∴ GF/EF = 1/2

∴ EF = 2 × GF ⇒ E

8 0
3 years ago
Read 2 more answers
Consider the linear equation below.
densk [106]
4- distributive property

Reason
X(y+u)= xy+xu
Expansion is distributive property


Hope it helps
8 0
1 year ago
Brandon bought Snacks for his teams practice he bought a bag popcorn for 211 and a six pack of juice bottles of total cost befor
yawa3891 [41]

Answer: 2.11X=11.41

X=9.3

or

211x=1141

930

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
12÷(−6)????????????????????????????????????????????????????????
wlad13 [49]

Answer:

-2

Step-by-step explanation:

First imagine that the negative is not there.

So the problem would be 12 divided by 6

Then divide.

You would get 2.

Next, add the negative sign in front of the 2.

Bam! You get the answer of -2.

Hope this helped!

~Oreo

7 0
3 years ago
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