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3 years ago

Which equation is a quadratic model for the data set? Hint: Use a graphing calculator or a spreadsheet program.

Mathematics

1 answer:

Ivahew [28]3 years ago

4 0

The equation that model a quadratic function is: y=0.9673x²-0.8475x+10.4334

Step-by-step explanation:

A quadratic function has the form of ;

f(x) = ax²+bx+c where a, b and c are real numbers and a≠0

For this case, equation y=0.9673x²-0.8475x+10.4334 models a quadratic function where a>0 thus the parabola opens upwards

See attached figure below to visualize the graph

Learn More

Quadratic functions graphs: brainly.com/question/9048896

Keywords : equation, quadratic model, data set, calculator, spreadsheet program.

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Rita started the day with r apps then she deleted 5 apps and still had twice as many apps as Cora has .write and an equation tha

Elodia [21]

Answer:

r - 5 = 2c

r = 75

Step-by-step explanation:

To write an equation for the problem, we first need do declare the value of the number of apps cora has.

Let c = Cora's apps

r - 5 = 2c

r - 5 is used to indicate that Rita deleted 5 apps.

2c is used to represent the twice the number of apps Cora has.

Now you said that Cora had 35 apps.

Let's plug that into the equation.

r - 5 = 2c

r - 5 = 2(35)

r - 5 = 70

Now we transpose the -5 to the other side to leave r.

r = 70 + 5

r = 75

So if Cora has 35 apps, then Rita will have 75 apps.

3 0

3 years ago

if a sample size 40 is drawn from the population that has mean 276 and a variance of 81, what is the probability that the mean o

lapo4ka [179]

Answer:

The probability is 0.017429

Step-by-step explanation:

We start by calculating the z-score

Mathematically;

z-score = (x-mean)/SD/√n

In this case;

x = 273

mean = 276

SD = √(variance) = √81 = 9

n = 40

Substituting these values into the z-score formula, we have that;

z = (273-276)/9/√40

z = -2.11

So we proceed to get the probability

the probability in this case is;

P( z < -2.11)

We can use the normal distribution table for this

Our answer will be

P( z < -2.11) = 0.017429

4 0

3 years ago

A student solves the following equation and

Phoenix [80]

Answer:

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

Step-by-step explanation:

Considering the expression

$\frac{3}{a+2}-6\cdot \frac{a}{-4+a^2}=\frac{1}{a-2}$

$\frac{3}{a+2}-\frac{6a}{-4+a^2}=\frac{1}{a-2}$

$\mathrm{Find\:Least\:Common\:Multiplier\:of\:}a+2,\:-4+a^2,\:a-2:\quad \left(a+2\right)\left(a-2\right)$

$\mathrm{Multiply\:by\:LCM=}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right)-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right)=\frac{1}{a-2}\left(a+2\right)\left(a-2\right)$

$\frac{3}{a+2}\left(a+2\right)\left(a-2\right):\quad 3\left(a-2\right)$

$-\frac{6a}{-4+a^2}\left(a+2\right)\left(a-2\right):\quad -6a$

$\frac{1}{a-2}\left(a+2\right)\left(a-2\right):\quad a+2$

so equation becomes

$3\left(a-2\right)-6a=a+2$

$-3a-6=a+2$

$-3a-6+6=a+2+6$

$-4a=8$

$\mathrm{Divide\:both\:sides\:by\:}-4$

$\frac{-4a}{-4}=\frac{8}{-4}$

$a=-2$

$\mathrm{Verify\:Solutions}$

$\mathrm{Take\:the\:denominator\left(s\right)\:of\:}\frac{3}{a+2}-6\frac{a}{-4+a^2}-\frac{1}{a-2}\mathrm{\:and\:compare\:to\:zero}$

$\mathrm{Solve\:}\:a+2=0:\quad a=-2$

$\mathrm{Solve\:}\:-4+a^2=0:\quad a=2,\:a=-2$

$\mathrm{Solve\:}\:a-2=0:\quad a=2$

So the following points are undefined

$a=-2,\:a=2$

Since the equation is undefined for -2

Therefore, NO SOLUTION for the given equation.

4 0

3 years ago

4/r = 5/7 need help please

Annette [7]

The answer to the question is

5r= 28

r= 28/5

7 0

3 years ago

The attic shown is a triangular prism. Insulation will be placed inside the walls, not including the floor. Find the surface are

maria [59]

Answer:

$1,125\ ft^{2}$

Step-by-step explanation:

we know that

The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces

$SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}$

3 0

3 years ago