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3 years ago

Consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)

Mathematics

2 answers:

ruslelena [56]3 years ago

4 0

Answer:

Step-by-step explanation:

The multiple "4" is the stretch factor. The stretch is parallel to y-axis, which is a vertical stretch

malfutka [58]3 years ago

3 0

Answer:

f(x) = x^2

g(x) = 4*x^2

=> For a value of x, the g(x) is 4 times larger than f(x).

=> g(x) is the stretched version of f(x) with stretched ratio = 4).

=> Option D is correct

Hope this helps!

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Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.

Scrat [10]

Answer:

A. $Z=2.06$

Step-by-step explanation:

We want to find the Z-score of $X=27$ if the population mean is $\mu=20$ ,and the population standard deviation is $\sigma=3.4$ .

We use the formula:

$Z=\frac{X-\mu}{\sigma}$

We substitute the values to obtain:

$Z=\frac{27-20}{3.4}$

$Z=\frac{7}{3.4}$

$Z=2.06$

The correct answer is A.

7 0

3 years ago

An envelope is 4 cm longer than it is wide. the area is 96 square centimeters. find the length and width.

Dennis_Churaev [7]

<span>So, L*W=A Because it is 4 cm longer, L=W+4 Because the area is 96, LW=96 Substitute to get W(W+4)=96 Multiply it out. W^2+4W-96=0 By solving the quadratic, W+12(W-8)=0 so either W+12 or W-8 is zero. The width must be positive, so the width is 8. Therefore the length is 12.

Hope this helps.</span>

4 0

3 years ago

In a certain college, 33% of the physics majors belong to ethnic minorities. Of 8 students are selected at random from the physi

tiny-mole [99]

Answer: 0.0187

Step-by-step explanation:

The binomial distribution formula for probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The probability that the physics majors belong to ethnic minorities =0.33

Number of students selected : n= 8

Now, the probability that more than 5 belong to an ethnic minority :-

$P(x>5)=P(6)+P(7)+P(8)\\\\=^8C_6(0.33)^6(0.67)^{2}+^8C_7(0.33)^7(0.67)^{1}+^8C_8(0.33)^8(0.67)^{0}\\\\=(\dfrac{8!}{6!2!})(0.33)^6(0.67)^{2}+(8)(0.33)^7(0.67)^{1}+(0.33)^8(0.67)^{0}\\\\=0.0186577086013\approx0.0187$

Hence, the probability that more than 5 belong to an ethnic minority = 0.0187

7 0

3 years ago

MARKING BRAINLIEST

Zielflug [23.3K]

Answer:

Step-by-step explanation:

5/4*4/13=20/182=10/91 you take the red marble out so you -1 from the red and the total bag of marbles then you multiply them to gather to get the combined average then simplify

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3 years ago

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salantis [7]

Answer:

its the 2 bottom ones......

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2 years ago