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2 years ago

Which graph represents the reflection in the x-axis of the curve y = cos x

Mathematics

1 answer:

Ber [7]2 years ago

3 0

Answer:

The curve represented by Green color Dotted Lines in the attached figure represents the Reflection in x-axis of the curve $y = cos x$ .

Step-by-step explanation:

As we know, the value of $cosx$ lies between (-1,1) and its graph is a curve. Its value keeps on varying between -1 and 1 only depending on the value of $x$ .

The value of $y$ is $\text{0}$ at $x = \frac{\pi}{2}$ . Few values are labeled in the figure attached in the answer. The value $y$ is 1 at $x = 0$ .

The curve shown in blue color solid line represents the curve of $y = cos x$ .

And the curve shown in the dotted green color in the attached figure represents the reflection in the x-axis.

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Three equal ratios to 6/7

Rashid [163]

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What is the y-coordinate of the point that divides the directed

e-lub [12.9K]

Answer:

(D)5

Step-by-step explanation:

Given the point J(-3,1) and K(8,11).

The line segment that divides the segment from J to K in any given ratio can be determined using the formula.

$P(x,y)=\left(\dfrac{mx_2+nx_1}{m+n} ,\dfrac{my_2+ny_1}{m+n}\right)$

In the given case:

$(x_1,y_1)=(-3,1), (x_2,y_2)=(8,11)$ , m:n=2:3

Since we are to determine the y-coordinate of the point that divides JK into a ratio of 2:3, we have:

$\dfrac{my_2+ny_1}{m+n}=\dfrac{2*11+3*1}{3+2}\\\\=\dfrac{22+3}{5}\\\\=\dfrac{25}{5}\\\\=5$

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

The correct option is D.

3 0

2 years ago

Babcock and Marks (2010) reviewed survey data from 2003–2005 and obtained an average of μ = 14 hours per week spent studying by

Dmitry [639]

Answer:

We do not have enough evidence to accept H₀

Step-by-step explanation:

Normal Distribution

size sample = n = 64 (very small sample for evaluating population of 5 years

Standard deviation 4,8

1.- Test hypothesis

H₀ null hypothesis ⇒ μ₀ = 14 and

Hₐ alternative hypothesis ⇒ μ₀ ≠ 14

2.- z(c) we assume α = 0,05 as we are dealing with a two test tail we should consider α/2 = 0.025.

From z table we the z(c) value

z(c) = 1.96 and of course by symmetry z(c) = -1.96

3.- We proceed to compute z(s)

z(s) = [ ( μ - μ₀ ) /( σ/√n) ] ⇒ z(s) = - (1.5)*√64/4.8

z(s) = - 2.5

We compare z(s) and z(c)

z(s) < z(c) -2.5 < -1.96 meaning z(s) is in the rejection zone

we reject H₀ .

From the start we indicate sample size as to small for the experiment nonetheless we found that we dont have enough evidence to accept H₀

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3 years ago

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Softa [21]

Answer:

well we know d>30 and 1.00>d

so i think the answer would be just that d>30=1.00>d

Step-by-step explanation:

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