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Pachacha [2.7K]
4 years ago
13

Point H is on line segment \overline{GI} GI . Given GI=3x,GI=3x, HI=2,HI=2, and GH=5x-6,GH=5x−6, determine the numerical length

of \overline{GH}. GH .
Mathematics
2 answers:
AlekseyPX4 years ago
8 0

Answer:

GH=4

Step-by-step explanation:

Hope this hedlps anyone :) Have a great day!

enot [183]4 years ago
3 0

Answer:

Step-by-step explanation:

3x + 2 = 5x - 6

-2x + 2 = -6

-2x = -8

x = 4

3(4) + 2 = 12 + 2 = 14

5(4) - 6= 20 - 6 = 14 for GH

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Read 2 more answers
Basic Computation: Testing M1 2 M2 A random sample of 49 measurements from a population with population standard deviation 3 had
Elenna [48]

Answer:

The sample statistics follows a standard normal distribution since the sample size are large enough.

Step-by-step explanation:

Given that:

<u>First population:</u>

Sample size n_1 = 49

Population standard deviation \sigma_1  = 3

Sample mean \overline x _1= 10

<u>Second population:</u>

Sample size n_2 = 64

Population standard deviation \sigma_2= 4

Sample mean \overline x_2= 12

The sample statistics follows a standard normal distribution since the sample size are large enough.

The null and alternative hypotheses can be computed as:

\mathbf{H_o:\mu_1=\mu_2}

\mathbf{H_1:\mu_1\ne\mu_2}

Level of significance  = 0.01

Using the  Z-test statistics;

Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}

Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}

Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}

Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}

Z = \dfrac{-2}{\sqrt{0.43367}}

Z = \dfrac{-2}{0.658536}

Z = - 3.037

Z \simeq - 3.04

The P-value = 2P (z < -3.04)

From the z tables

= 2 × (0.00118)

= 0.00236

Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses H_o

5 0
3 years ago
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