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2 years ago

6

Suppose g(x)=f(x-3)-4. which statement best compares the graph of g(x) with the graph of f(x)

1 answer:

saw5 [17]2 years ago

8 0

Answer:

D.) The graph of g(x) is shifted 3 units right and 4 units down

Step-by-step explanation:

When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.

When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.

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Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, ,

klemol [59]

Complete Question

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, , is nothing. (Round to the nearest tenth as needed.)

p = 0.6 n = 18

Answer:

The mean $\mu = 10.5$

The standard deviation $\sigma = 2.08$

The variance $var = 4.32$

Step-by-step explanation:

From the question we are told that

The probability of success is $p = 0.6$

The sample size is $n = 18$

Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

$q = 1- p$

substituting values

$q = 1- 0.6$

$q =0.4$

Generally the mean is mathematically evaluated as

$\mu = np$

substituting values

$\mu = 18 * 0.6$

$\mu = 10.5$

The standard deviation is evaluated as

$\sigma = \sqrt{npq}$

substituting values

$\sigma = \sqrt{18 * 0.6 * 0.4}$

$\sigma = 2.08$

The variance is evaluated as

$var = \sigma^2$

substituting value

$var = 2.08^2$

$var = 4.32$

4 0

4 years ago

Evaluate g(n-7) if g(x) = <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E2-5%7D%7B3n%7D" id="TexFormula1" title="\frac{x^2-5}{3

WINSTONCH [101]

Hello. this is the answer for your question

6 0

3 years ago

Write an equation in point-slow form for the line through the given point with the given slope.

timofeeve [1]

It's a because the form is y-y1=m(x-x1) and of you put the given information in it will be y+1=-(x+10)

5 0

3 years ago

Determine if the triangles, CEG and DEF ,are similar. If so, identify the similarity

Harlamova29_29 [7]

Answer:

A

Step-by-step explanation:

AA similarity means 2 angles must be similar.

Angle 1: Angle E is the same for both triangles

Angle 2: Angle F and angle G are congruent because they both have right angle markings so they are both 90 degrees.

8 0

3 years ago

Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}

Leto [7]

Answer: f(-3) = 278, f(-4) = 232

Step-by-step explanation:

f(x) = 4x³ - 6x² - 144x + 8

f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8

f(-3) = 4(-27) - 6(9) - 144(-3) + 8

f(-3) = 278

f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8

f(-4) = 4(-64) - 6(16) - 144(-4) + 8

f(-4) = 232

7 0

3 years ago