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Paraphin [41]
3 years ago
6

Y = 6x + 11 2х - Зу = 7

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

9514 1404 393

Answer:

  (x, y) = (-2.5, -4)

Step-by-step explanation:

Since you are given an expression for y, it is convenient to substitute that into the second equation.

  2x -3(6x +11) = 7

  2x -18x -33 = 7

  -16x = 40 . . . . . . add 33

  x = -40/16 = -2.5

Using the equation for y, we find ...

  y = 6(-2.5) +11 = -15 +11 = -4

The solution is (x, y) = (-2.5, -4).

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To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo
mars1129 [50]

Answer:

The 80% confidence interval for difference between two means is (0.85, 1.55).

Step-by-step explanation:

The (1 - <em>α</em>) % confidence interval for difference between two means is:

CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2,(n_{1}+n_{2}-2)}\times SE_{\bar x_{1}-\bar x_{2}}

Given:

\bar x_{1}=M_{1}=6.1\\\bar x_{2}=M_{2}=4.9\\SE_{\bar x_{1}-\bar x_{2}}=0.25

Confidence level = 80%

t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.20/2, (5+5-2)}=t_{0.10,8}=1.397

*Use a <em>t</em>-table for the critical value.

Compute the 80% confidence interval for difference between two means as follows:

CI=(6.1-4.9)\pm 1.397\times 0.25\\=1.2\pm 0.34925\\=(0.85075, 1.54925)\\\approx(0.85, 1.55)

Thus, the 80% confidence interval for difference between two means is (0.85, 1.55).

3 0
3 years ago
The sun is about 93Xthe sixth power of 10 (10*6) miles from earth. what is this distance written as a whole number?
SSSSS [86.1K]
Sixth power of 10 (10^6) equals 10 with five extra zeros (1000000), which is nothing else but million. If you multiply it by 93, you will get the answer - the Sun is approx. 93000000 miles from Earth.
6 0
3 years ago
What is 4,726,000 rounded to the nearest million?
just olya [345]

Answer:

5,000,000

Step-by-step explanation:


6 0
3 years ago
Esmerelda is five times as old as Ruth. Four years ago, the sum of their ages was 22 years. How old is each now?
Lina20 [59]

Answer:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

Step-by-step explanation:

if Ruth is x, esmerelda is 5x,

four years ago,

Ruth is x+4,  esmerelda is 5x+4,  depend on the sum, we get:

x+4+5x+4=22, x=7/3

so:

Ruth is  x+4=7/3+4,   esmerelda  is  5x+4=35/3+4

7 0
4 years ago
What is the equation of this line
photoshop1234 [79]

Answer:

y = -\frac{4}{3}x + 4

Step-by-step explanation:

Use the slope-intercept form to write the equation if the line of the graph given.

y = mx + b, where,

b = y-intercept, which is where the line cuts across the y-axis = 4.

m = slope = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 4}{3 - 0} = \frac{-4}{3}

Substitute m = ⁴/3 and b = 4, into the slope-intercept formula to get the equation of the line:

y = mx + b

y = -\frac{4}{3}x + 4

8 0
3 years ago
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