Ask question

Ask question

All categories

Zigmanuir [339]

3 years ago

13

Tyler placed six number tiles labeled 3, 8, 12, 15, 19, and 22 in a box. He picks one of the numbers from the box without lookin

g. What is the probability Tyler will pick a tile labeled with an even number?

1 answer:

Nikolay [14]3 years ago

4 0

Answer:

3/6 or 50%

Step-by-step explanation:

there are 6 total tiles and 3 of them are even

You might be interested in

Stephanie is looking into season passes at magic mountain. The basic membership costs $12 monthly and $6 per each visit . The ep

Sphinxa [80]

Answer:

12

Step-by-step explanation:

so its at 12 visits because its their lowest common factor so i think it should be 12

4 0

2 years ago

A vertical cylinder is leaking water at a rate of 4m3/sec. If the cylinder has a height of 10m and a radius of 2m, at what rate

Katyanochek1 [597]

Answer:

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

Step-by-step explanation:

Given that a vertical cylinder is leaking water at rate of 4 m³/s.

It means the rate change of volume is 4 m³/s.

$\frac{dV}{dt}=4 \ m^3/s$

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.

The height of the cylinder be h(say).

The volume of a cylinder is $V=\pi r^2 h$

$=( \pi \times 2^2\times h)\ m^3$

$\therefore V= 4\pi h$

Differentiating with respect to t.

$\frac{dV}{dt}=4\pi \frac{dh}{dt}$

Putting the value $\frac{dV}{dt}$

$\Rightarrow 4\pi \frac{dh}{dt}=4$

$\Rightarrow \frac{dh}{dt}=\frac{4}{4\pi}$

$\Rightarrow \frac{dh}{dt}=\frac{1}{\pi}$

The rate change of height does not depend on the height.

Therefore the rate change of height is $\frac{1}{\pi}$ m/s.

4 0

2 years ago

The amount of money raised at a charity fundraiser is directly proportional to the number of attendees. The amount of money rais

sattari [20]

Answer:

a. M=20A

b. k=20

c. $1200

Step-by-step explanation:

<u>Direct proportions </u>

Two variables are proportional if one of them is the other by a real number. That real number is called the Constant of proportionality. If x and y are proportional, then

y=kx, where k is the constant of proportionality.

The question describes the relationship between the amount of money raised at a charity fundraiser and the number of attendees. If they have five attendees, they raise $100

a.

Let's call A the number of attendees and M the amount of money raised, and

M=kA

We know that M=100 when A=5, so

100=k(5)

This means that

k=20

The equation for the amount raised at the charity event is

M=20A

b.

The constant of variation is k=20

c. If there are 60 attendees (A=60), then

M=(20)(60)=$1200

4 0

3 years ago

What is the area of triangle ABC?

solmaris [256]

Area of triangle = 1/2 x base x height.
Base = 14 cm
Height = 8 cm
Area = 1/2 x 8 x 14 = 56 cm^2

Correct option B

4 0

2 years ago

Read 2 more answers

A guy wire to a tower makes a 72 degrees angle with level ground. At a point 30 ft farther from the tower than the wire but on t

Andreyy89

So.. checking the picture below

we can say y = y, or just do a substitution and end up with

$\bf tan(72^o)=tan(30^o)(30+x)\implies 3.08x=\cfrac{30}{\sqrt{3}}+\cfrac{1}{\sqrt{3}}x
\\\\\\
3.08x-\cfrac{1}{\sqrt{3}}x=\cfrac{30}{\sqrt{3}}\implies 2.5x\approx 17.32\implies x\approx \cfrac{17.32}{2.5}$

once you know, how long is "x", then you can simply use the cosine of 72° to get "r"

thus $\bf cos(\theta)=\cfrac{adjacent}{hypotenuse}\qquad cos(72^o)=\cfrac{x}{r}\implies r=\cfrac{x}{cos(72^o)}$

6 0

3 years ago

Read 2 more answers