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3 years ago

A bag contains 7 blue marbles and 7 green marbles. Which shows the likelihood of choosing a blue marble?

Mathematics

2 answers:

satela [25.4K]3 years ago

8 0

Not 100 % but I would think as likely as not because you have the same amount of both. 1/2 the chance

RSB [31]3 years ago

8 0

Hi there!

The answer is E. As likely as not.

Since the chances of 7/14 and 7/14 is the same,
7/14 = 7/14,
then the answer is that they are equally likely.

Hope this helps!

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Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?

Sergeu [11.5K]

Answer:

Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)

Step-by-step explanation:

Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize

You can also determine the equation of the linear function as then graph both equations on the graph tool

<u>Finding gradient m</u>

Given (0,6) and (1,3)

m=change in value of y/change in value of x

$m=\frac{3-6}{1-0} =\frac{-3}{1} =-3$

Finding the equation of the linear function

Taking points (2,0) and (x,y)

$m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6$

From the graph,they intersect at

(0.686,3.941) and (2.914,-2.741)

5 0

3 years ago

Read 2 more answers

Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0

zmey [24]

Assuming you need the integral expressing the volume of $E$ , the easiest setup is to integrate with respect to $y$ first.

This is done with either

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx$

Thanks to symmetry, integrating with respect to either $x$ or $z$ first will be nearly identical.

First, with respect to $x$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy$

Next, with respec to $z$ :

$\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx$
$\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy$

5 0

2 years ago

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f

sergey [27]

We need radius

Let that be r

πr²=452.16
3.14r²=452.16
r²=144
r=√144
r=12ft

6 0

1 year ago

Read 2 more answers

Help this is confusing

Novay_Z [31]

What is confusing???

7 0

3 years ago

Last year the population of Spoon Forks grew from 1250 to 1300. If the population of the town grows by the same percent this yea

Reptile [31]

Answer:

1352

Step-by-step explanation:

Firstly, we get the percentage growth last year. This is calculated as:

(1300-1250)/1250 * 100

= 4%

Now, we are assuming the growth rate is constant. So let’s calculate a 4% growth rate for this year. That would be:

4/100 * 1,300 = 52

The population this year would thus be 1300 + 52 = 1352

4 0

3 years ago