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nekit [7.7K]
3 years ago
5

Tickets are arranged from 1 to 25 at a ticket counter. if one of the tickets is drawn at random whag is the probability that the

chosen ticket is a multiple of 5. and what is the probability that the chosen ticket is a multiple of 6? ​
Mathematics
1 answer:
Alja [10]3 years ago
3 0

Answer:

The probability of choosing a ticket thats a multiple of 5 is 5/25

The probability of choosing a ticket thats a multiple of 6 is 4/25

Step-by-step explanation:

multiples of 6 are 6, 12, 18, and 24

multiples of 5 are 5, 10, 15, 20, and 25

The probability of choosing a ticket thats a multiple of 5 is 5/25

The probability of choosing a ticket thats a multiple of 6 is 4/25

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Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

3 0
3 years ago
This composite figure is made up of three simpler shapes. What is the area of the figure? 7 cm 4 cm 5 cm 4 CE 8 cm A. 66 square
kirza4 [7]

The total area of the given figure will be 66 square cm.

<h3>What is an area? </h3>

The space occupied by any two-dimensional figure in a plane is called the area. Here we have three shapes a triangle, a rectangle and a parallelogram.

Total area = Area of triangle + Area of rectangle + Area of parallelogram

Total area = [(1/2) x 4 x7]   +  [4  x  5]  + [ 4   x   8 ]

Total area =  14+20+32

Total area = 66 square cm

Hence the total area of the given figure will be 66 square cm.

To know more about the area follow

brainly.com/question/24375372

#SPJ1

5 0
2 years ago
Part 1. Determine the molar mass of a 0.622-gram sample of gas having a volume of 2.4 L at 287 K and 0.850 atm. Show your work.
sdas [7]

If a sample of gas is a 0.622-gram, volume of 2.4 L at 287 K and 0.850 atm. Then the molar mass of the gas is 7.18.

<h3>What is an ideal gas equation?</h3>

The ideal gas equation is given below.

PV = nRT

The equation can be written as

\rm PV = \dfrac{m}{M} \ RT\\\\\\MPV = mRT

Where M is the molar mass, P is the pressure, V is the volume, R is the universal gas constant, T is the temperature, and m is the mass of the gas.

Then the molar mass of a 0.622-gram sample of gas has a volume of 2.4 L at 287 K and 0.850 atm.

V = 2.4 L = 0.0024

P = 0.85 atm = 86126.25 Pa

T = 287 K

m = 0.622

R = 8.314

Then we have

\begin{aligned} \rm M \times 86126.25 \times  0.0024&= 0.622 \times  8.314 \times 287\\\\\rm M &= 7.18 \end{aligned}

Then the molar mass of the gas is 7.18.

More about the ideal gas equation link is given below.

brainly.com/question/4147359

#SPJ1

6 0
2 years ago
Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to cl
Aleonysh [2.5K]

Answer:

<em>It takes them 1.875 hours.</em>

<em></em>

<em>Step-by-step explanation:</em>

<em></em>

<em>Here, the job is cleaning the house.</em>

<em></em>

<em>Mom does 1 job in 3 hours.</em>

<em></em>

<em>In 1 hour, mom does 1/3 of the job.</em>

<em></em>

<em>Dad does 1 job in 5 hours.</em>

<em></em>

<em>In 1 hour, dad does 1/5 of the job.</em>

<em></em>

<em>Mom and dad working together do the job in x hours.</em>

<em></em>

<em>In 1 hour, mom and dad together do 1/x of the job.</em>

<em></em>

<em>1/3 + 1/5 = 1/x</em>

<em></em>

<em>5/15 + 3/15 = 1/x</em>

<em></em>

<em>8/15 = 1/x</em>

<em></em>

<em>8x = 15</em>

<em></em>

<em>x = 15/8 = 1.875</em>

<em></em>

<em>Answer: It takes them 1.875 hours.</em>

your welcome

6 0
2 years ago
Read 2 more answers
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