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Pepsi [2]
2 years ago
10

Answer pls in standard form too

Mathematics
1 answer:
romanna [79]2 years ago
7 0

Answer:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

Step-by-step explanation:

a)

Slope form y=2x+3

Standard form 2x-y=-3

b)

Slope y=3/5x-6

Standard 3x-5y=30

c)

slope y=-3/2x+9

standard 3x+2y=18

d)

slope y=-3x+0

standard = 3x+y=0

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1 is true , 2 is false

Step-by-step explanation:

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-2x=8

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-2x/-2=8/-2

we will be left with

x= 8/-2

x=-4 which shows that x<-4 and it differs from the second inequality

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Consider a sampling distribution with p equals 0.15p=0.15 and samples of size n each. Using the appropriate​ formulas, find the
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Answer:

a.\  \mu_p=750\ \ , \sigma_p=0.005\\\\b.\  \mu_p=150\ \ , \sigma_p=0.0113\\\\c.\  \mu_p=75\ \ , \sigma_p=0.0160

Step-by-step explanation:

a. Given p=0.15.

-The mean of a sampling proportion  of n=5000 is calculated as:

\mu_p=np\\\\=0.15\times 5000\\\\=750

-The standard deviation is calculated using the formula:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\=\sqrt{\frac{0.15(1-0.15)}{5000}}\\\\=0.0050

Hence, the sample mean is μ=750 and standard deviation is σ=0.0050

b. Given that p=0.15 and n=1000

#The mean of a sampling proportion  of n=1000 is calculated as:

\mu_p=np\\\\=1000\times 0.15\\\\\\=150

#-The standard deviation is calculated as follows:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{1000}}\\\\\\=0.0113

Hence, the sample mean is μ=150 and standard deviation is σ=0.0113

c. For p=0.15 and n=500

#The mean is calculated as follows:

\mu_p=np\\\\\\=0.15\times 500\\\\=75

#The standard deviation of the sample proportion is calculated as:

\sigma_p=\sqrt{\frac{p(1-p)}{n}}\\\\\\=\sqrt{\frac{0.15\times 0.85}{500}}\\\\\\=0.0160

Hence, the sample mean is μ=75 and standard deviation is σ=0.0160

4 0
3 years ago
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