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2 years ago

7

Suppose you pick a tile out of a bag containing 26 tiles marked with the letters A through Z. What is the probability of picking

a letter from the name JACK or from the name BEN?

1 answer:

Liula [17]2 years ago

6 0

Given that <span>a bag contains 26 tiles marked with the letters A through Z.

The probability of picking a letter from the name JACK is 4 / 26

The probability of picking a letter from the name BEN is 3 / 26.

Therefore, the probability of picking a letter from the name JACK or from the name BEN iis given by 4 / 26 + 3 / 26 = 7 / 26 </span>

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A closed can, in a shape of a circular, is to contain 500cm^3 of liquid when full. The cylinder, radius r cm and height h cm, is

Gemiola [76]

To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: $V= \pi r^2h$
where
$V$ is the volume
$r$ is the radius
$h$ is the height

We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words: $V=500cm^3$ . We also know that the radius is r cm and height is h cm, so $r=rcm$ and $h=hcm$ . Lets replace the values in our formula:
$V= \pi r^2h$
$500cm^3= \pi (rcm^2)(hcm)$
$500cm^3=h \pi r^2cm^3$
$h= \frac{500cm^3}{ \pi r^2cm^3}$
$h= \frac{500}{ \pi r^2}$

Next, we are going to use the formula for the area of a cylinder: $A=2 \pi rh+2 \pi r^2$
where
$A$ is the area
$r$ is the radius
$h$ is the height

We know from our previous calculation that $h= \frac{500}{ \pi r^2}$ , so lets replace that value in our area formula:
$A=2 \pi rh+2 \pi r^2$
$A=2 \pi r(\frac{500}{ \pi r^2})+2 \pi r^2$
$A= \frac{1000}{r} +2 \pi r^2$
By the commutative property of addition, we can conclude that:
$A=2 \pi r^2+\frac{1000}{r}$

7 0

3 years ago

This Bar Chart shows the average amount of rainfall in inches that fell in a city in Louisiana one year.

Daniel [21]

C I think because it shows the months and the total

8 0

3 years ago

Read 2 more answers

Question 13 (3 points)

Aloiza [94]

Answer:

sorry

Step-by-step explanation:

What is probability? Put simply, it is the chance of an event occurring. Probability is often expressed in quantifiable terms as either a percentage or a decimal: for example, the chance of a coin landing as heads is 50% . It is impossible to be certain you can correctly predict whether the coin will land heads or tails, which makes the act of flipping the coin a random event. We can however, calculate the probability of the coin landing heads or tails.

4 0

2 years ago

Here's a graph of a linear function. Write the

madam [21]

The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

<h3>What is a straight line?</h3>

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

$\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\$

As we can see in the graph the line goes from (-6, 0) and (0, 3)

Finding the slope:

$\rm m =\dfrac{3-0}{0-(-6)}\\$

m = 3/6 = 1/2

y = mx + c

y = (1/2)x + c

c is the y-intercept

c = 3

The equation:

y = (1/2)x + 3

Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

5 0

1 year ago

Carl ordered a package that weighs 192 pounds. It was shipped to him inside a box and surrounded by packing material. The total

AURORKA [14]

Answer:

The weight of box and pocking material $=13$ pound

Step-by-step explanation:

Let the weight of box and packing material $=x$

weight of package $=192$ pounds

total weight $=205$ pound

$x+192=205$

Subtract both side by $192$

$x+192-192=205-192\\x+0=13\\x=13$

Hence weight of box and packing material $=13$ pound

7 0

2 years ago