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3 years ago

Question 3

Mathematics

1 answer:

grin007 [14]3 years ago

4 0

Answer:

(4,3)

Step-by-step explanation:

Substituting the value of x in the given equation,

2x - 3(x-1) = -1

2x-3x+3 = -1

-x = -1-3

-x = -4

x = 4

Plugging in the value of x,

y= 4-1

y=3

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3 years ago

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What are all the solutions of x2 + 3x – 4 = 0?

neonofarm [45]

Quadratics have 2 solutions

Factor the Quadratic

x^2 +3x -4 = 0

(x-1) (x+4) = 0

set each term = 0

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3 years ago

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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

Grace [21]

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

Compute the difference quotient, StartFraction f (x plus h )minus f (x )Over h EndFraction f(x+h)−f(x) h, for the function f (

lawyer [7]

Answer:

The difference quotient for $f(x)=3x^2$ is $3 h + 6 x$ .

Step-by-step explanation:

The difference quotient is a formula that computes the slope of the secant line through two points on the graph of <em>f</em>. These are the points with x-coordinates x and x + h. The difference quotient is used in the definition the derivative and it is given by

$\frac{f(x+h)-f(x)}{h}$