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3 years ago

Jack is a farmer and he wants to know the mean weight of all the potatoes in a sack.

1 answer:

azamat3 years ago

6 0

To calculate the mean weights of the potatoes, the weights are all added and divided by the number of potatoes.
The sum of all the potatoes - <span>5 + 8 + 9 + 11 + 7 + 7 + 8 + 9 + 12 + 7 = 83
the number of potatoes - 10
we have to divide the sum of weights by 10
Mean weight = 83/10 = 8.3
Rounded off to the nearest ounce - 8 </span>ounces

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PLZ HELP GEOMETRY BELOW

katen-ka-za [31]

This is known as Einstein's proof, not because he was the first to come up with it, but because he came up with it as a 15 year old boy.

Here the problem is justification step 2. The written equation

BC ÷ DC = BC ÷ AC

is incorrect, and wouldn't get us our statement 2, which is correct.

For similar triangles we have to carefully pair the corresponding parts to get our ratios right:

ABC ~ BDC means AB:BD = BC:DC = AC:BC so BC/DC=AC/BC.

Justification 2 has the final division upside down.

7 0

3 years ago

What is 26/57= 849/5x

Leto [7]

$\frac{26}{57}=\frac{849}{5}x \\ \\ x=\left(\frac{26}{57} \right) \left(\frac{5}{849} \right) \\ \\ x=\boxed{130/48393}$

4 0

1 year ago

A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th

Vladimir [108]

Answer:

The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $\frac{AC}{BC}$ = $\frac{h}{d}$

And sin Ф = $\frac{AB}{BC}$ = $\frac{5500}{d}$

∵, cos²Ф = 1 - sin²Ф

So, $(\frac{h}{d})^{2}$ = $1 - (\frac{5500}{d})^{2}$

Or, $(\frac{h}{d})^{2}$ = $(\frac{d^{2}- 5500^{2}}{d^{2}})$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^{2}- 5500^{2}}$

Or, h = $\sqrt{(d + 5500) (d - 5500)}$

Hence The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$ Answer

3 0

3 years ago

A square matrix A is said to be idempotent iff A2 = A. (i) Show that if A is idempotent, then so is I − A. (ii) Show that if A i

muminat

Answer:

Step-by-step explanation:

Given that A is a square matrix and A is idempotent

$A^2 = A$

Consider I-A

i) $(I-A)^2 = (I-A).(I-A)\\= I^2 -2A.I+A^2\\= I-2A+A\\=I-A$

It follows that I-A is also idempotent

ii) Consider the matrix 2A-I

$(2A-I).(2A-I)=\\4A^2-4AI+I^2\\= 4A-4A+I\\=I$

So it follows that 2A-I matrix is its own inverse.

7 0

3 years ago

What is the sum of 3m + 7y + 5 - m - 6y?

nevsk [136]

3m + 7y + 5 + -1m + -6y = 0
Reorder the terms:5 + 3m + -1m + 7y + -6y = 0
Combine like terms: 3m + -1m = 2m5 + 2m + 7y + -6y = 0
Combine like terms: 7y + -6y = 1y5 + 2m + 1y = 0
Solving5 + 2m + 1y = 0
Solving for variable m'.
Move all terms containing m to the left, all other terms to the right.
Add '-5' to each side of the equation.5 + 2m + -5 + 1y = 0 + -5
Reorder the terms:5 + -5 + 2m + 1y = 0 + -5
Combine like terms: 5 + -5 = 00 + 2m + 1y = 0 + -52m + 1y = 0 + -5
Combine like terms: 0 + -5 = -52m + 1y = -5
Add '-1y' to each side of the equation.2m + 1y + -1y = -5 + -1y
Combine like terms: 1y + -1y = 02m + 0 = -5 + -1y2m = -5 + -1y
Divide each side by '2'.m = -2.5 + -0.5y
Roots m=-2.5 + -0.5y

Simplify the following:3 m + 7 y + 5 - m - 6 y
Grouping like terms, 3 m + 7 y + 5 - m - 6 y = (7 y - 6 y) + (3 m - m) + 5:(7 y - 6 y) + (3 m - m) + 5
7 y - 6 y = y:y + (3 m - m) + 5
3 m - m = 2 m:Answer: y + 2 m + 5
Not sure what you need so I gave you Simplification and Roots.

8 0

3 years ago