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1 year ago

Solve th simultaneous equations 3x + y = 17 2x +y = 12

Mathematics

1 answer:

nydimaria [60]1 year ago

6 0

Answer:

I can't I'm blind and Def

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To estimate the mean of a population with unknown distribution shape and unknown standard deviation, we take a random sample of

Naddika [18.5K]

Answer:

$t_{critical} = \pm 1.7793$

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 64

Sample mean = 22.3

Sample standard deviation = 8.8

We want to estimate 92% confidence interval.

92% Confidence interval:

$\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}$

Putting the values, we get,

Degree of freedom = n - 1 = 63

$t_{critical}\text{ at degree of freedom 63 and}~\alpha_{0.01} = \pm 1.7793$

$22.3 \pm 1.7793(\dfrac{8.8}{\sqrt{64}} ) = 22.3 \pm 1.95723 = (20.34,24.26)$

7 0

3 years ago

Find the equation of a line that passes through (0,0) that is perpendicular to 2x+3y=-6

Dovator [93]

The slope-intercept form of a line:

$y=mx+b$

m - slope

b - y-intercept

Convert 2x + 3y = -6 to the slope-intercet form:

$2x+3y=-6$ subtract 2x from both sides

$3y=-2x-6$ divide both sides by 3

$y=-\dfrac{2}{3}x-2$

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $m_1=-\dfrac{2}{3}$

Therefore

$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line:

$y=\dfrac{3}{2}x+b$

Put the coordinates of the point (0, 0) to the equation:

$0=\dfrac{3}{2}(0)+b$

$0=b\to b=0$

Answer: $\boxed{y=\dfrac{3}{2}x}$

8 0

3 years ago

I xant solve for the value of K

exis [7]

K = -3x^2/5 -5x -3 + px/5. I hope that helps.

4 0

3 years ago

Find the value of c that completes the square. n2- 26n + c

saul85 [17]

Step-by-step explanation:

b^2=4ac

b= -26, a=1, c=?

-26^2=4*1*c

676=4c

c=676/4

c=169

4 0

3 years ago

Need help for math homework!!

Rasek [7]

Answer:

Explanation:

Matches all the points on the graph

5 0

3 years ago

Read 2 more answers