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2 years ago

The table shows the number of calories in four meals and the cost of each meal.

Mathematics

2 answers:

Aleksandr-060686 [28]2 years ago

6 0

Answer:

A weak negative correlation

Step-by-step explanation:

$correlation, r = \frac{∑(y-\alpha)(x-\beta }{\sqrt{∑(y-\alpha)^2∑(x-\beta )^2 } }$

where,

$\alpha = \frac{∑y}{n} \\\beta =\frac{∑x}{n} \\∑ = summation$

$\alpha = \frac{3230}{4} = 807.5\\\\\\\beta =\frac{46}{4} = 11.5$

$therefore,\\\\r= -0.12924$

This represents a weak negative correlation

arsen [322]2 years ago

3 0

Answer:A weak Negative correlation

Step-by-step explanation:

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Ipatiy [6.2K]

Step-by-step explanation:

For a

the solution is x>-17

For b

the solution is x<-1

For c

solve by adding 5.5 to each side

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3 years ago

1.6 y - 0.7 + 3.8y + 2

love history [14]

Answer: 5.4y + 1.3

Step-by-step explanation:

Combining like terms

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3 years ago

Read 2 more answers

The temperature was 65 degrees at daybreak. Then it dropped two degrees per hour until dusk. This decrease in temperature can be

Montano1993 [528]

The temperature 6 hours after day break is 53 degrees

Step-by-step explanation:

The temperature was 65 degrees at daybreak. Then it dropped two degrees per hour until dusk. This decrease in temperature can be modeled by the equation,

y = -2x + 65

according to this equation

y= temperature after day break

x= no of hours ( in this case 6)

So equation becomes

y= -2 (6) +65

y= 65- 12

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Keywords: Algebra

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8 0

3 years ago

Find the number of units that produce a maximum revenue, R =95x-0.1x^2, where R is the total revenue in dollars and x is the num

svp [43]

Answer:

$x=475$ units

Step-by-step explanation:

Method 1

The given revenue function is $R(x)=95x-0.1x^2$ .

We rewrite this function in the vertex form by completing the square.

$\Rightarrow R(x)=-0.1x^2+95x$ .

$\Rightarrow R(x)=-0.1(x^2-950x)+0$ .

We add and subtract half the coefficient of $x$ multiplied by a factor of $-0.1$ , which is $-0.1(-\frac{950}{2})^2=-0.1( -475)^2$ to get,

$R(x)=-0.1(x^2-950x)+-0.1(-475)^2--0.1(-475)^2 +0$ .

We factor $-0.1$ out of the first two expressions again to get,

$R(x)=-0.1(x^2-950x+(-475)^2)--0.1(-475)^2 +0$ .

We now got a perfect square.

$\Rightarrow R(x)=-0.1(x-475)^2+22562.5$ .

Therefore the maximum revenue occurs when $x=475$ units were sold.

Method 2

Use derivatives to find the x-value of the maximum point.

$R(x)=-0.1x^2+95x$

$R'(x)=-0.2x+95$

At maximum point,

$R'(x)=0$

$\Rightarrow -0.2x+95=0$ .

$\Rightarrow -0.2x=-95$ .

$\Rightarrow x=\frac{-95}{-0.2}$ .

$\Rightarrow x=475$ .

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3 years ago

Convert 185 pounds into kilograms.

DiKsa [7]

Answer:

83.91 kilograms

Step-by-step explanation:

6 0

3 years ago