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3 years ago

What is the value of the mean from the following set of data: 12,10, 11, 8, 6, 5, 3, 7, 9. Round to the nearest hundredth.

Mathematics

1 answer:

RideAnS [48]3 years ago

6 0

Answer:

7.88 or 7.9

Step-by-step explanation:

To find the mean, we need to do:

=> (12 + 10 + 11 + 8 + 6 + 5 + 3 + 7 + 9) / 9

=> 71/9

=> 7.88 or 7.9

I divided the sum of all numbers by 9 because we added 9 numbers.

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Jina used a tots of 2 1/6 gallons of gas while driving her car. Each hour she was driving, she used 7/8 gallons of gas. What was

marysya [2.9K]

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8 0

2 years ago

A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?

GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

$240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)$

$480=\left(2x+1\right)\left(6x-3\right)$

$480=12x^2-3$

Subtract 480 from both sides

$12x^2-3-480=480-480$

$12x^2-483=0$

$3\left(4x^2-161\right)=0$

$3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0$

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

$2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0$

solving

$2x+\sqrt{161}=0$

$2x=-\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{-\sqrt{161}}{2}$

$x=-\frac{\sqrt{161}}{2}$

also solving

$2x-\sqrt{161}=0$

$2x=\sqrt{161}$

Divide both sides by 2

$\frac{2x}{2}=\frac{\sqrt{161}}{2}$

$x=\frac{\sqrt{161}}{2}$

Therefore, the values of x which would give an area of 240m² would be:

$x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}$

3 0

2 years ago

4 + 3s + 2 Terms: Coefficients: Constants: Answer

USPshnik [31]

▬▬▬▬▬▬▬▬▬▬▬▬

→ Terms - Three (Trinomial)

→ Coefficient - 3

→ Constants - 4 and 2

▬▬▬▬▬▬▬▬▬▬▬▬

8 0

2 years ago

What features of the graph of the equation y-y1=m (x-x1) can you identify?

Ahat [919]

That is point slope form

y-y1=m(x-x1)

passes through the point (x1,y1) and has a slope that is m

7 0

3 years ago

Ms.Lamberson got a new puppy abd weighed it in September and October in September the Puppy Weighed9 and one Fourth pounds In Oc

ddd [48]

Answer: The puppy was $2.25\ lb$ havier in October that it was in September.

Step-by-step explanation:

You need to make the conversion from mixed numbers to decimal numbers. To do it, divide the numerator of the fraction by the denominator add the result to whole part number:

$9\frac{1}{4}=9+0.25=9.25\\\\11\frac{1}{2}=11+0.5=11.5$

The weight of the puppy in September was:

$w_1=9.25\ lb$

And its weight in October was:

$w_2=11.5\ lb$

Subtract its weight in September from its weight in October in order to find how much heavier the puppy was in October than it was in September:

$w_2-w_1=11.5\ lb-9.25\ lb=2.25\ lb$

8 0

2 years ago