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3 years ago

Describe a real life multiplication situation for which the estimate makes sense

Mathematics

1 answer:

Nina [5.8K]3 years ago

7 0

If there are 26 students in a class and each of them gets 4 candies, how many candies are in total?
26 x 4 = 104

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What is an example of a one step equation that would use multiplication

poizon [28]

Answer:

Multiplication equation 6 t = 54 6t = 54 6t=54 Multiply each side by five.

7 0

3 years ago

Suppose that the length of a side of a cube X is uniformly distributed in the interval 9

Nastasia [14]

Answer:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

Step-by-step explanation:

Given

$9 < x < 10$ --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

$v = x^3$

For a uniform distribution, we have:

$x \to U(a,b)$

and

$f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.$

$9 < x < 10$ implies that:

$(a,b) = (9,10)$

So, we have:

$f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Solve

$f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$

Recall that:

$v = x^3$

Make x the subject

$x = v^\frac{1}{3}$

So, the cumulative density is:

$F(x) = P(x < v^\frac{1}{3})$

$f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.$ becomes

$f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.$

The CDF is:

$F(x) = \int\limits^{v^\frac{1}{3}}_9 1\ dx$

Integrate

$F(x) = [v]\limits^{v^\frac{1}{3}}_9$

Expand

$F(x) = v^\frac{1}{3} - 9$

The density function of the volume F(v) is:

$F(v) = F'(x)$

Differentiate F(x) to give:

$F(x) = v^\frac{1}{3} - 9$

$F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}$

$F'(x) = \frac{1}{3}v^{-\frac{2}{3}}$

$F(v) = \frac{1}{3}v^{-\frac{2}{3}}$

So:

$f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.$

8 0

2 years ago

63 is 90% of what number in a number line

lisov135 [29]

If you're trying to say what's 90% of 63, you divide 63 by 10 which is 6.3 then times by 9 which is 56.7

8 0

3 years ago

elise is changing the dimensions of her garden. the length is 20 feet longer than its width. if she decreases this length by 8 f

vitfil [10]

Let x be the initial width, then the initial length is x+20.
If Elise decreases this length by 8 feet, she will get the new length x+20-8=x+12.

If Elise increases the width by 10 feet, she will get the new width x+10.

The new perimeter will be x+12+x+12+x+10+x+10=4x+44=172, 4x=172-44, 4x=128, x=128÷4, x=32.

The initial width is 32 ft and the initial length is 32+20=52 ft.

The new width will be 32+10=42 ft, the new length will be 32+12=44 ft.

4 0

3 years ago

Strawberries cost $3.00 per pound. How many punds of strawberries can you buy for $1.00

Mademuasel [1]

Answer:

1/3 or .75 pounds of strawberries

3 0

3 years ago

Read 2 more answers