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3 years ago

Solve the given system by substitution.

Mathematics

2 answers:

wolverine [178]3 years ago

5 0

Answer:

G = 1

h = 2

Step-by-step explanation:

4(2h - 3) - 5h = -6

8h - 12 - 5h = -6

3h - 12 = -6

3h = 6

h = 2

g = 2(2) - 3

g = 4 - 3

g = 1

Natalka [10]3 years ago

5 0

G= 2h-3
Substitute the value of (g) 4g-5h=-6

4(2h-3) - 5h = -6
8h - 12 - 5h = -6
Now -12 is going other side and it’ll change sign
3h= -6+12
3h = 6
H= 6/3
H= 2

CheckBy substitute the value of h
g= 2h - 3
g = 2(2) - 3
g= 4-3
g = 1

1g = 1
Hence proved.

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3 years ago

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grigory [225]

Answer:

Step-by-step explanation:

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Marizza181 [45]

Answer:

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And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

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We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

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