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grandymaker [24]
3 years ago
10

Solve the system of equations. 4x + y = -3 5x + 3y = 12

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0
Look it up.................:
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Ten samples of coal from a northern appalachian source had an average mercury content of 0.242 ppm with a standard deviation of
Dovator [93]
The confidence interval is from 0.2191 to 0.2649, given by

0.242\pm0.0229.

The z-score we need is found by first subtracting the confidence level from 1:
1 - 0.95 = 0.05

Divide that by 2:
0.05/2 = 0.025

Subtract that from 1:
1 - 0.025 = 0.975

Look this up in the middle of a z-table (http://www.z-table.com) and we see that the z-score is 1.96.

Now our confidence interval is given by
\overline{x} \pm z\times \frac{\sigma}{\sqrt{n}}
\\
\\0.242\pm 1.96 \times (\frac{0.037}{\sqrt{10}})
\\
\\0.242 \pm .0229
\\
\\0.242-0.0229=0.2191
\\
\\0.242+0.0229 = 0.2649
5 0
3 years ago
Which of the following are correct statements about the slope formula? <br><br>Check all that apply.
WARRIOR [948]
We know, Slope = y2-y1 / x2-x1
& also, slope = rise / run

In short, Your Answer would be Option A & C

Hope this helps!
8 0
3 years ago
Read 2 more answers
6 fl oz= how many cups
natima [27]
1 oz = 0.125 cups so 6 oz = 0.75 cups

Hope this helps!
3 0
2 years ago
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Find the value of x.<br> 48°<br> (7x + 13)
Pavel [41]

Answer:

336x + 624

Step-by-step explanation:

4 0
2 years ago
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A parabolic arch has a height of 25 feet and a span of 40 feet. How high is the arch 8 feet from each side of the center?
Llana [10]

Answer:

The correct option is;

21 ft

Step-by-step explanation:

The equation of the parabolic arc is as follows;

y = a(x - h)² + k

Where the height is 25 ft and the span is 40 ft, the coordinates of the vertex (h, k) is then (20, 25)

We therefore have;

y = a(x - 20)² + 25

Whereby the parabola starts from the origin (0, 0), we have;

0 = a(0 - 20)² + 25

0 = 20²a + 25 → 0 = 400·a + 25

∴a = -25/400 = -1/16

The equation of the parabola is therefore;

y = (-\frac{1}{16})(x-20)^2 + 25

To find the height 8 ft from the center, where the center is at x = 20 we have 8 ft from center = x = 20 - 8 = 12 or x = 20 + 8 = 28

Therefore, plugging the value of x = 12 or 28 in the equation for the parabola gives;

y = (-\frac{1}{16})(12-20)^2 + 25 = (-\frac{1}{16})(-8)^2 + 25 = 21 \ ft.

4 0
3 years ago
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