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3 years ago

What is the median of this data set? [1,2,3,4,5,81]

Mathematics

1 answer:

eimsori [14]3 years ago

5 0

Answer: 3.5

Step-by-step explanation: Find the two middle numbers, 3&4, then add, 3+4=7, then divide by 2, 7/2 = 3.5, and now you have your median! 3.5!!

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Find the mixed number of 18/3??

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

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2 years ago

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You randomly choose two shapes from the bag, with replacement. Find the probability of choosing a star and then a circle. Write

vodka [1.7K]

Answer:

1/3

Step-by-step explanation:

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3 years ago

This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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3 years ago

If tile costs $8.50 per square foot, how much does it cost per inch?

Sphinxa [80]

Answer:

$0.06 per square inch

Step-by-step explanation:

The question should be:

<em>"If tile costs $8.50 per square foot, how much does it cost per square inch?"</em>

<em />

To solve this, we basically need a conversion from feet to inches. BUT 2 times, since we are talking about "square feet" and "square inches".

We know 1 feet = 12 inches

Also, since we are going from square feet to square inches [big to small], we have to divide TWICE.

Thus, we will have:

$\frac{8.5}{12*12}$

We are dividing 8.5 (the cost) by 12, 2 times since we want square feet in square inches. The answer is:

$\frac{8.5}{12*12}=0.06$

So, tile costs $0.06 per square inch

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3 years ago

19 minus 14 5/8hjkvcbkifc

mars1129 [50]

If we don't count the letters, $19 - 14\frac{5}{8}$ The answer would be: 4 3/8! Hope this helped! Brainliest is always appreciated!

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2 years ago