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2 years ago

Find the value of x such that the data set has a mean of 103. 99,122,103,113,109,x

1 answer:

8 0

That means the average of all data point equal:

(99+122+103+113+109+x)/6 = 103
===> (546+x)/6 = 103===> 546+x=618 & x=618-546=72, so x =72

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Jason solved the following equation to find the value for x.

Ainat [17]

Plug in 6.5 for x.
-8.5x-3.5x=-78
-8.5(6.5)-3.5(6.5)=-78
-55.25-22.75=-78
-78=-78

5 0

1 year ago

A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by

nikklg [1K]

A hawk is sitting on the branch of a tree Question Image ft above the ground. It flies 28.3 ft higher in the air, drops down by 8.2 ft, and then a short time later flies down another Question Image ft onto the branch of another tree. Write an expression that represents the change in the bird’s height. Which of the two branches is higher above the ground?
Please help me asap!
Will mark as Brainliest for first correct answer.

7 0

2 years ago

How do you write the equation of a line (in slope intercept form) with three given points?

Mrrafil [7]

With even just two points, you can find the equation of a line in slope-intercept form.

Slope-intercept form: $y=mx+b$ where $m$ is the slope and $b$ is the y-intercept

1) Solve for the slope ( $m$ )

The equation to solve for the slope is $m=\frac{y_2-y_1}{x_2-x_1}$ when the two points are $(x_1,y_1)$ and $(x_2,y_2)$ . Plug the coordinates of these points into the equation and solve for $m$ .

Then, plug $m$ into $y=mx+b$ .

1) Solve for the y-intercept ( $b$ )

Then, take any of the given points and plug it into $y=mx+b$ along with the slope. Isolate $b$ to get the y-intercept. Then, plug both m and b back into $y=mx+b$ to get your final equation.

I hope this helps!

3 0

2 years ago

Read 2 more answers

Victoria renovated a house for $71,000. If she paid 506,000 for the house, what is the percent of the original cost did she spen

castortr0y [4]

Answer: this is rounded out, and an estimate but...

Step-by-step explanation:

It appears to be 14.03% I could be wrong, but this was calculated so maybe not.

8 0

2 years ago

Kellen bought new fish for her home aquarium. She bought 4 turquoise guppies and 3 sunburst tetra GLO fish and spent a total of

FromTheMoon [43]

Answer: A single turquoise guppy costs $3.69

Step-by-step explanation:

Let us use "x" to represent the amount a single turquoise is sold and use "y" to represent that of the Glo fish.

Since Kellen bought 4 guppies and 3 glo fishes for $41.73:

4x + 3y = 41.73 --------eqn 1

Similarly, Danielle purchased 3 guppies and 5 Glo fish for $56.02:

Therefore 3x + 5y = $56.02 -----eqn2

The 2 equations are;

4x + 3y = 41.73 (eqn 1)

3x + 5y = 56.02 (eqn 2)

We then solve the simultaneous equations using substitution method:

From eqn 1,

4x + 3y = 41.73

4x = 41.73 - 3y

x = (41.73 - 3y)/4

Substitute x for (41.73 - 3y)/4 in eqn2.

3[(41.73 - 3y)/4 + 5y = 56.02

11y + 125.19 = 224.08

11y =98.89

y = 98.89/11

y = $8.99

So, 1 Glo fish costs $8.99

Then, substitute "y" for 8.99 in equation 1

4x + (3×8.99) = 41.73

4x + 26.97 = 41.73

4x = 41.73 - 26.97

4x = 14.76

x = 14.76/4

x = $3.69

Therefore 1 turquoise guppy costs $3.69

5 0

2 years ago