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ser-zykov [4K]
3 years ago
8

Which graph shows a system with no solutions? Graph A Graph B Graph C y= 2r-1 2y 4x-2 A. Graph C OB. Graph B C. Graph A​

Mathematics
1 answer:
REY [17]3 years ago
7 0

Answer:

graph b

Step-by-step explanation:

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x = 2, -1

Step-by-step explanation:

x² - x + 1 = 3

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x² - x - 2 = 0

(x -2)(x + 1)

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The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60

Step-by-step explanation:

Rectangle:

8cm x 5cm = 40cm

Triangle <em>(</em><em>1</em><em>/</em><em>2bxh</em><em>)</em>

The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (<em>note the height is the dotted line</em>) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.

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A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature.
insens350 [35]

Answer: D) 0.438 < p < 0.505

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where n= sample size

\hat{p} = Sample proportion.

z* = critical value.

Given : A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature.

i.e. n= 865

\hat{p}=\dfrac{408}{865}\approx0.4717

Two-tailed critical avlue for 95% confidence interval : z* = 1.96

Then, the 95 % confidence interval for the true proportion of all voters in the state who favor approval will be :-

0.4717\pm (1.96)\sqrt{\dfrac{0.4717(1-0.4717)}{865}}\\\\\approx0.4717\pm 0.03327\\\\=(0.4717-0.03327,\ 0.4717+0.03327)=(0.43843,\ 0.50497)\approx(0.438,\ 0.505)

Thus, the required 95% confidence interval : (0.438, 0.505)

Hence, the correct answer is D) 0.438 < p < 0.505

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