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Vesnalui [34]
3 years ago
8

Select the correct answer from each drop-down menu. The possible values of x in the equation x^2-3/4 x=-1/4 are blank ± blank .

Mathematics
1 answer:
zlopas [31]3 years ago
8 0

Answer:

x = 3/8 +/- i(√5)/8.

Step-by-step explanation:

I can't see any list by this is the solution of the equation:

x^2 - 3/4x = -1/4

x^2 - 3/4 x + 1/4 = 0

Multiply by 4 to remove the fractions:

4x^2 - 3x + 1 = 0

x = [-(-3) +/- sqrt(3)^2 - 4*4*1)] / 8

x = 3/8 +/-√ (-5) / 8

x = 3/8 +/-  √5 i / 8

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In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc
coldgirl [10]

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

6 0
3 years ago
Y=-4x-41 that passes through (-2,7)
dalvyx [7]

Answer:

Parallel: y=-4x-1

Perpendicular: y=-4x+13/2

Step-by-step explanation:

For the equation y=-4x-41, the slope is -4. Writing a line related to this equation has two options:

  • If the line will be parallel to it then this is the slope of the new line as well. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.

(y-7)=-4(x--2)


y-7=-4x-8


y=-4x-1

  • If the line will be perpendicular to it then the slope is the negative reciprocal of the previous slope. It is 1/4.

(y-7)=1/4(x--2)


y-7=1/4x-1/2


y=-4x+13/2


4 0
3 years ago
Read 2 more answers
Can you someone help me
lord [1]

(6,8) is the answer also this could be the answer too (6,2)

hope this helps

4 0
3 years ago
4x + 1 = 5, find x assuming x is a whole number​
levacccp [35]

Answer:

x=1

Step-by-step explanation:

4x+1=5

4x=5-1

4x=4

x=4/4=1

This happens to be a whole number.

4 0
3 years ago
PLEASE HELP!!!!! The table displays the mean name length for seven samples of students. Sample Mean Name Length 1 5.4 2 7.1 3 6.
Vikki [24]

Answer:

A. The variation between the sample means is small.

Step-by-step explanation:

I took the quiz and got it right. O gotchu fam

8 0
3 years ago
Read 2 more answers
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