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gtnhenbr [62]
3 years ago
7

if a line crosses the y-axis at (0, -3) and has a slope of 3, what is the equation of the line? 3x y = 3 3x − y = 3 -3x − y = 3

3x − y = -3
Mathematics
1 answer:
babunello [35]3 years ago
6 0
Y-intercept = (0, -3) and slope (m) = 3.
Required equation is y = 3x - 3
3x - y = 3
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What would the coordinate be 2x+8y=20<br> y=2
svetlana [45]
2x+8y=20;y=2
2x+8(2)=20
2x+16=20
     -16 -16
-------------------
2x=4
x=2
The coordinate will be (2,2)! Hope that was helpful :)
6 0
3 years ago
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Which number produces a rational number when added to 1/5
marin [14]

Answer: 2/3

Step-by-step explanation:

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in a AP the first term is 8,nth term is 33 and sum to first n terms is 123.Find n and common difference​
allsm [11]

I believe there is no such AP...

Recursively, this sequence is supposed to be given by

\begin{cases}a_1=8\\a_k=a_{k-1}+d&\text{for }k>1\end{cases}

so that

a_k=a_{k-1}+d=a_{k-2}+2d=\cdots=a_1+(k-1)d

a_n=a_1+(n-1)d

33=8+(n-1)d

21=(n-1)d

n has to be an integer, which means there are 4 possible cases.

Case 1: n-1=1 and d=21. But

\displaystyle\sum_{k=1}^2(8+21(k-1))=37\neq123

Case 2: n-1=21 and d=1. But

\displaystyle\sum_{k=1}^{22}(8+1(k-1))=407\neq123

Case 3: n-1=3 and d=7. But

\displaystyle\sum_{k=1}^4(8+7(k-1))=74\neq123

Case 4: n-1=7 and d=3. But

\displaystyle\sum_{k=1}^8(8+3(k-1))=148\neq123

8 0
3 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
A bus company is replacing all the old seats in its buses with new ones. The company owns 15 buses and each bus has 22 seats. It
Pachacha [2.7K]

Answer:

30112.50. 15x22x91.20+26.50

3 0
2 years ago
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