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julia-pushkina [17]
3 years ago
12

Pls help quadratic equations

Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

n = 5

Step-by-step explanation:

3 x (n+1)² = n² + (n+2)² + 34

3n² + 6n + 3 = n² + n² + 4n + 4 + 34

n² + 2n - 35 = 0

(n - 5) (n + 7) = 0

n is a positive number

n = 5

check: 5, 6, 7

6 x 6 x3 = 108

(5 x 5) + (7 x 7) + 34 = 25 + 49 + 34 = 108

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A study sampled 350 upperclassmen (Group 1) and 250 underclassmen (Group 2) at high schools around the city of Portland. The stu
iVinArrow [24]

Answer:

-0.061 < P_1 -P_2< 0.025

Step-by-step explanation:

Give data:

n_1 = 350

n_2 =250

x_1 = 23

x_2 = 21

\hat{P} 1 = \frac{x_1}{n_1} = \frac{23}{350} = 0.066

\hat{P} 2 = \frac{x_2}{n_2} = \frac{21}{250} = 0.084

for 95% confidence interval

\alpha = 1 - 0.95 = 0.05 and \alpha/2 = 0.025

z_{\alpha/2} = 1.96  from standard z- table

confidence interval for P_1  and P_2 is

\hat{P} 1 - \hat{P} 2 \pm z_{\alpja/2} \sqrt{\frac{\hat{P} 1(1-\hat{P} 1)}{n_1} +\frac{\hat{P} 2(1-\hat{P} 2)}{n_2}}

(0.066 - 0.084) \pm 1.96 \sqrt{\frac{0.066(1-0.066)}{350} +\frac{0.084(1-0.084)}{250}}

-0.018 \pm 0.043

confidence interval is

-0.018 - 0.043 < P_1 -P_2

-0.061 < P_1 -P_2< 0.025

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3 years ago
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3 years ago
-3.08333333333 as a mixed number
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Step-by-step explanation:

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6 0
3 years ago
what are the ex and Y coordinates of point E, which partition the directed line segment from A to B into a ratio of 1:2?
Paul [167]

Answer:

Step-by-step explanation:

The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:

x=\frac{bx_1+ax_2}{a+b}  and  y=\frac{by_1+ay_2}{a+b} where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:

x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0 and then y:

y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1

The coordinates of point E, then, are (0, 1).

6 0
3 years ago
Read 2 more answers
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Burka [1]

Answer:

-11x^{2} +9x-3

Step-by-step explanation:

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3 years ago
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