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evablogger [386]

2 years ago

14

A box contains 4 red and 5 green marbles. if 6 marbles are drawn without replacement, what is the expected number of red marbles

?

2 answers:

qaws [65]2 years ago

6 0

The expected number is 2 marbles

cricket20 [7]2 years ago

6 0

I hope this helps i believe it is 1/3<span />

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe

Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is $1.979\ in$

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

$V=20*10*15=3,000\ in^{3}$

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

$V=20*10*(15-2)=2,600\ in^{3}$

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

we have

$r=1\ in$

assume

$\pi=3.14$

substitute

$V=\frac{4}{3}(3.14)(1)^{3}$

$V=4.2\ in^{3}$

step 4

What is the new distance from the water to the top of the tank?

we know that

$2 in -----> represent (3,000-2,600)=400\ in^{3}$

so

using proportion

Find how many inches correspond a volume of $4.2\ in^{3}$

$\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in$

The new distance from the water to the top of the tank is

$2-0.021=1.979\ in$

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to $4.2\ in^{3}$

using proportion

$\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls$

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0

3 years ago

Helppp 8th grade algebra <br> C. Six units left<br> D.six units right

yanalaym [24]

D, six units to the right. This is the answer because the pre-image is six to the left of the newest image. Just count the spaces away!

5 0

3 years ago

Write an equation in point-slope form for the line.<br> (1,3) <br> (0,1)<br> m=4

Anna [14]

Given coordinates (1,3) and (0,1).

In order to find the equation of line, we need to find the slope between given coordinates.

We know slope formula,

m= $\frac{y2-y1}{x2-x1}$

We have (x1,y1) = (1,3) and (x2,y2) = (0,1).

Plugging values of x1,y1,x2 and y2 in slope formula, we get

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

Simplifying top and bottom of the fraction we got for slope

$m=\frac{-2}{-1}=2$

We got slope m=2.

We are given second point (0,1), where x-coordinate is 0 and y-coordinate is 1.

y-intercept is a point on y-axis, where x=0.

Therefore, y-intercept = 1.

Now, applying slope-intercept form of the linear equation

y=mx+b, where m is the slope and b is y-intercept.

m=2 and b=1.

Plugging values of m and b in slope-intercept form, we get

y=2x+1.

Therefore, point-slope form for the line is y=2x+1.

5 0

2 years ago

BRANILIEST OFFER!!what is the median of this data set?<br> 25, 8, 10, 35,45, 5, 40, 30. 20.

ivann1987 [24]

Median is the middle of the number set so
5 8 10 20 25 30 35 40 45
its 25

4 0

3 years ago

Read 2 more answers

In graphing the equation y<2x -5, the line is dotted and shaded below the line drawn.

MakcuM [25]

Answer:

True.

Step-by-step explanation:

This is 'less than' so the area below the line is shaded.

It is a dotted line because the solution does not contain points on the line as the inequality sign is < NOT ≤.

7 0

3 years ago

Read 2 more answers