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dolphi86 [110]
2 years ago
7

What is y={-\dfrac{1}{3}}x-9y=− 3 1 ​ x−9y, equals, minus, start fraction, 1, divided by, 3, end fraction, x, minus, 9 written i

n standard form?
Mathematics
1 answer:
Kobotan [32]2 years ago
5 0

Answer:

x+3y=-27

Step-by-step explanation:

We are given that

y=(-\frac{1}{3})x-9

We have to find the  standard form of given equation

y=\frac{-x-27}{3}

3y=-x-27

By using multiplication property of equality

x+3y=-27

We know that

Standard form of equation

ax+by=c

Therefore, the standard form of given equation  is given by

x+3y=-27

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A standard city block in Manhattan is a rectangle measuring 80 m by 270 m. A resident wants to get from one corner of a block to
kondor19780726 [428]

Answer:

68.4 meters shorter

Step-by-step explanation:

ok so you want to compare the distance  80 m + 270 m with the diagonal length.

the diagonal length =  root ( 80^2   +  270^2 )

diagonal length = root(6400 +  72900)

diagonal = root(79300) =281.602 m

so.

350 - 281.602 = 68.397 meters  about  68.4 meters  shorter than walking around

5 0
2 years ago
What is the mean of 210 160 200
Allushta [10]
190
You add everything together
Then, divide by however many numbers you have
210+160+200
570 / 3
 190 
Hope this helps..
Mark Brainliest Please!


6 0
2 years ago
Two students, Claude and Diane, were asked to use synthetic division and the Remainder Theorem to find the value of f(2) given f
ad-work [718]

Answer:

Step-by-step explanation:

Part A

In applying the synthetic division, the polynomial would be fully expressed as

2x³ + 0x² + 5x - 6

The coefficients are 2, 0, 5 and - 6

The working becomes

2| 2 0 5 -6

4 8 16

2 4 13 10

The student that correctly used synthetic division to find f(2) is Claudia

Part B

The value of f(2) is

2(2)^3+5(2) - 6

= (2 × 8) + 10 - 6

= 16 + 10 - 6 = 20

Part C

x - 2 is not a factor of 2x³ + 5x - 6 because there is a remainder of 20.

Part D

The methods that can be used to find out if x - 2 is a factor of 2x³ + 5x - 6 are synthetic division, long division, remainder theorem

8 0
2 years ago
James purchased five bonds of face value of $1,000 that paid 5% annual interest rate. the total annual interest income of james
Trava [24]
Given:
5 bonds of face value of 1,000 that paid 5% annual interest rate.

5 bonds x 1,000 = 5,000
5,000 x 5% x 1 year = 250

The total annual interest income of James is 250. Each bond earns 50 per annum.
8 0
2 years ago
Read 2 more answers
According to a 2013 study by the Pew Research Center, 15% of adults in the United States do not use the Internet (Pew Research C
Ivahew [28]

Answer:

a)P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

b) P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

c) P(X \geq 1) = 1- P(X

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

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

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=10, p=0.15)

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!}

Part a

For this case we want this probability:

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

Part b

For this case we want this probability:

P(X=3)

And using the probability mass function we got:

P(X=3)=(10C3) (0.15)^3 (1-0.15)^{10-3}= 0.1298

Part c

For this case we want this probability:

P(X \geq 1)

And we can use the complenet rule and we got:

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

P(X=0)=(10C0) (0.15)^0 (1-0.15)^{10-0}= 0.1969

So then we have:

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

3 0
2 years ago
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