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3 years ago

Ann and Betty shared a sum of money in the ratio 2:3 Ann received $120 what was Betty's share

Mathematics

2 answers:

koban [17]3 years ago

4 0

Betty's share is $180

const2013 [10]3 years ago

3 0

Set up a proportion

2/3= 120/x

2*60=120
3*60=180
x=180

Final answer: $180

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D is not right its a negative 8 so therefore it would be minus

Ilya [14]

I really dont understant your question. but you are right that negative 8 that it would be minus. In mathematics, a negative number is a real number that is less than zero. Negative numbers represent opposites. If positive represents movement to the right, negative represents movement to the left.

6 0

3 years ago

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each r

Margarita [4]

Hey there! I am on the same one. :) I will help you out a little.

Assume that all six outcomes of a six-sided number cube have the same probability. What is the theoretical probability of each roll?
• 1: 1/6
• 2: 2/6
• 3: 3/6
• 4: 4/6
• 5: 5/6
• 6: 6/6

Using the uniform probability model you developed, what is the probability of rolling an even number?
1/6 Roll a number cube 25 times. Record your results here.

 1st toss=6 2nd toss=4 3rd toss=6 4th toss=6 5th toss=3 6th toss=3 7th toss=4 8th toss=2 9th toss=6 10th toss=5 11th toss=1 12th toss=4 13th toss = 5 14th toss =1 15th toss=4 16th toss=2 17th toss=2 18th toss=2 19th toss=6 20th toss=5 21st toss=3 22nd toss=4 23rd toss=3 24th toss=3 25 toss=5
How many results of 1 did you have? __2____________ How many results of 2 did you have? ____4__________ How many results of 3 did you have? ____5__________ How many results of 4 did you have? ______5________ How many results of 5 did you have? ______4________ How many results of 6 did you have? ______5________
Based on your data, what is the experimental probability of each roll? 1. 2/25 or 0.08

2. 4/25 or 0.16

3. 5/25 or 0.24

4. 5/25 or 0.2

5.4/25 or 0.16

6. 5/25 or 0.2Using the probability model based on observed frequencies, what is the probability of rolling an even number? 3/6 = ½ or 0.5
Was your experimental probability different than your theoretical probability? Why or why not? It somewhat is! The denominator is 25 for the experimental probability, and 6 for the theoretical probability.
Have a lovely day! Cheerio. :)

8 0

3 years ago

Read 2 more answers

Sorry for the little blur but number 18 please! And sorry for the work mess. Start where it says *Start Here*

motikmotik

You are almost done!
well, the euation of a circle centered at (h,k) and radius r is
(x-h)²+(y-k)²=r²

so you havve
(x-3)²+(y+5)²=9 (which is correct)
this can be rewritten as
(x-3)²+(y-(-5))²=3²
the center is (3,-5) and the radius is 3

5 0

3 years ago

Surface integrals using an explicit description. Evaluate the surface integral \iint_{S}^{}f(x,y,z)dS using an explicit represen

Jobisdone [24]

Parameterize $S$ by the vector function

$\vec r(x,y)=x\,\vec\imath+y\,\vec\jmath+f(x,y)\,\vec k$

so that the normal vector to $S$ is given by

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=\left(\vec\imath+\dfrac{\partial f}{\partial x}\,\vec k\right)\times\left(\vec\jmath+\dfrac{\partial f}{\partial y}\,\vec k\right)=-\dfrac{\partial f}{\partial x}\vec\imath-\dfrac{\partial f}{\partial y}\vec\jmath+\vec k$

with magnitude

$\left\|\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}\right\|=\sqrt{\left(\dfrac{\partial f}{\partial x}\right)^2+\left(\dfrac{\partial f}{\partial y}\right)^2+1}$

In this case, the normal vector is

$\dfrac{\partial\vec r}{\partial x}\times\dfrac{\partial\vec r}{\partial y}=-\dfrac{\partial(8-x-2y)}{\partial x}\,\vec\imath-\dfrac{\partial(8-x-2y)}{\partial y}\,\vec\jmath+\vec k=\vec\imath+2\,\vec\jmath+\vec k$

with magnitude $\sqrt{1^2+2^2+1^2}=\sqrt6$ . The integral of $f(x,y,z)=e^z$ over $S$ is then

$\displaystyle\iint_Se^z\,\mathrm d\Sigma=\sqrt6\iint_Te^{8-x-2y}\,\mathrm dy\,\mathrm dx$

where $T$ is the region in the $x,y$ plane over which $S$ is defined. In this case, it's the triangle in the plane $z=0$ which we can capture with $0\le x\le8$ and $0\le y\le\frac{8-x}2$ , so that we have

$\displaystyle\sqrt6\iint_Te^{8-x-2y}\,\mathrm dx\,\mathrm dy=\sqrt6\int_0^8\int_0^{(8-x)/2}e^{8-x-2y}\,\mathrm dy\,\mathrm dx=\boxed{\sqrt{\frac32}(e^8-9)}$

5 0

3 years ago

A dealer buys oranges for 100000, he sold 60% of them for buying price, he sold 50% of the remaining for profit of 60% then he s

suter [353]

Based on the amount of oranges bought, those sold at a profit and those sold at a loss, the overall profit is 14.2%

<h3>What is the overall profit?</h3>

Assume that the buying price was $1 each.

The amount earned from 60% of them is:

= 60% x 100,000 x 1

= $60,000

The profit from selling 50% of the remaining is:

= (50% x 40,000) x 1.60

= $32,000

The loss from selling the other 50%:

= (50% x 40,000) x 0.90

= $22,222.22

Total selling price:

= 60,000 + 32,000 + 22,222.22

= $114,222.22

Total profit:

= (114,222.22 - 100,000) / 100,000

= 14.2%

Find out more on sales profit at brainly.com/question/19104371

#SPJ1

7 0

1 year ago