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3 years ago

Step 2: Evaluating trends of data

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

8 0

Answer:

Step-by-step explanation:

here is the graph please answer quick I need you to show your work and say if it is linear

elena-s [515]3 years ago

4 0

Answer:

Step-by-step explanation:

a) Your business partner describes this as a high positive correlation. Is your partner correct? Why or why not?

Yes, my partner is correct because as the fat increases the calories increase. And when the points are rising from the left to the right, this indicates a positive correlation.

b) Using the drawing tools, draw a trend line (line of best fit) on the graph above.

it's basically a line that goes up to the right like this /

c) Judge the closeness of your trend line to the data points. Do you notice a relationship between the data points?

This is a linear trend because it moves in a line going up at a predictable rate.

d) Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work.

No, the trend line is not linear, because it squiggles at the end.

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When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation

Radda [10]

<h3><u>Question:</u></h3>

When y is 4, p is 0.5, and m is 2, x is 2. If x varies directly with the product of p and m and inversely with y, which equation models the situation?

xpmy=8

xy/pm=8

xpm/y=0.5

x/pmy=0.5

<h3><u>Answer:</u></h3>

The equation models the situation is $\frac{x y}{p m}=8$

<h3><u>Solution:</u></h3>

Given that

x is 2, y is 4, p is 0.5, and m is 2

x varies directly with the product of p and m

x varies inversely with y

$\text {Product of } p \text { and } m=p \times m=p m$

x varies directly with the product of p and m

$=>x \propto p m$ ---- eqn 1

As x varies inversely with y,

$=>x \propto \frac{1}{y}$ ----- eqn 2

From (1) and 2, we can say that

$x \propto \frac{p m}{y}$

$\Rightarrow x=k \frac{p m}{y}$

where k is constant of proportionality

$\Rightarrow \frac{x y}{p m}=k$ ---- eqn 3

On substituting given values of x = 2, y = 4, p = 0.5 and m= 2 in eqn (3) we get

$\frac{x y}{p m}=\frac{2 \times 4}{0.5 \times 2}=k$

$\begin{array}{l}{\frac{x y}{p m}=\frac{8}{1}=k} \\\\ {=>\frac{x y}{p m}=8}\end{array}$

Hence correct option is second that is $\frac{x y}{p m}=8$

8 0

3 years ago

Read 2 more answers

1. Given that 4x²- 16x + 15 = a(x-p)²+ q for all values of x.

FinnZ [79.3K]

Answer:

a = 4, p = 2, q = - 1

Step-by-step explanation:

Expand the right side of the identity, then compare the coefficients of like terms with those on the left side.

a(x - p)² + q ← expand (x - p)² using FOIL

= a(x² - 2px + p²) + q ← distribute parenthesis

= ax² - 2apx + ap² + q

Compare coefficients of x² term

a = 4

Compare coefficients of x- term

- 2ap = - 16, that is

- 2(4)p = - 16

- 8p = - 16 ( divide both sides by - 8 )

p = 2

Compare constant terms

ap² + q = 15 , that is

4(2)² + q = 15

16 + q = 15 ( subtract 16 from both sides )

q = - 1

Thus a = 4, p = 2, q = - 1

8 0

3 years ago

Jerry best with 40 questions, out of which he answered 22 correctly. To pass the test, he needs at least 60% correct. What was h

a_sh-v [17]

Answer:

22?

Step-by-step explanation:

I sorry if my answer is wrong.

4 0

3 years ago

Read 2 more answers

100 Points!!!

inessss [21]

Answer:

An object moving along the x-axis is said to exhibit simple harmonic motion if its position as a function of time varies as

x(t) = x0 + A cos(ωt + φ).

The object oscillates about the equilibrium position x0. If we choose the origin of our coordinate system such that x0 = 0, then the displacement x from the equilibrium position as a function of time is given by

x(t) = A cos(ωt + φ).

A is the amplitude of the oscillation, i.e. the maximum displacement of the object from equilibrium, either in the positive or negative x-direction. Simple harmonic motion is repetitive. The period T is the time it takes the object to complete one oscillation and return to the starting position. The angular frequency ω is given by ω = 2π/T. The angular frequency is measured in radians per second. The inverse of the period is the frequency f = 1/T. The frequency f = 1/T = ω/2π of the motion gives the number of complete oscillations per unit time. It is measured in units of Hertz, (1 Hz = 1/s).

The velocity of the object as a function of time is given by

v(t) = dx(t)/dt = -ω A sin(ωt + φ),

and the acceleration is given by

a(t) = dv(t)/dt = -ω2A cos(ωt + φ) = -ω2x.

4 0

3 years ago

Nick had 14 jelly beans in a bag. His mother put a handful of jelly beans in the bag. When Nick counts his jelly beans, he disco

Igoryamba

The answer is D. j - 14 = 28

Basically, saying the answer aloud, you will be saying the jellybeans my mom added to the bag minus the 14 jellybeans I had previously is equal to my total of 28 jellybeans I have now.

5 0

4 years ago

Read 2 more answers