1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
forsale [732]
3 years ago
10

In a state lottery, 28 balls are numbered 1-28. Eight of them are randomly selected without replacement. To win, you only need t

o match the eight numbers drawn. Calculate the probability of winning this lottery if you purchase one ticket.
Mathematics
1 answer:
podryga [215]3 years ago
3 0

Answer:

2/7

Step-by-step explanation:

Each time you play, you get 1 number. Since 8/28 numbers win, you have a 8/28 chance to win if you buy one ticket. 8/28 = 2/7

You might be interested in
A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo
ddd [48]

Answer:

Mean = 15.15

Standard deviation = 0.6062

Step-by-step explanation:

We are given a uniform distribution of  quantity to be put in each bag.

Low and high filling weights:

14.1 pounds and 16.2 pounds

a = 14.1

b = 16.2

a) Mean:

\mu = \displaystyle\frac{a+b}{2}\\\\\mu = \frac{14.1+16.2}{2} = 15.15

b) Standard Deviation:

\sigma = \sqrt{\displaystyle\frac{(b-a)^2}{12}}\\\\= \sqrt{\dfrac{(16.2-14.1)^2}{12}} = \sqrt{0.3675} = 0.6062

4 0
3 years ago
Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do
Wittaler [7]

Answer:

  less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

__

A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

  1/3 + 1/5 + 1/2

  = 10/30 + 6/30 + 15/30

  = 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

  0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

4 0
3 years ago
2/5 times 2/3 = what
Luda [366]

Answer:

16/15

Step-by-step explanation:

5 0
3 years ago
What is the factorization of 729^15+1000?
igomit [66]

Answer:

The factorization of 729x^{15} +1000 is (9x^{5} +10)(81x^{10} -90x^{5} +100)

Step-by-step explanation:

This is a case of factorization by <em>sum and difference of cubes</em>, this type of factorization applies only in binomials of the form (a^{3} +b^{3} ) or (a^{3} -b^{3}). It is easy to recognize because the coefficients of the terms are <u><em>perfect cube numbers</em></u> (which means numbers that have exact cubic root, such as 1, 8, 27, 64, 125, 216, 343, 512, 729, 1000, etc.) and the exponents of the letters a and b are multiples of three (such as 3, 6, 9, 12, 15, 18, etc.).

Let's solve the factorization of 729x^{15} +1000 by using the <em>sum and difference of cubes </em>factorization.

1.) We calculate the cubic root of each term in the equation 729x^{15} +1000, and the exponent of the letter x is divided by 3.

\sqrt[3]{729x^{15}} =9x^{5}

1000=10^{3} then \sqrt[3]{10^{3}} =10

So, we got that

729x^{15} +1000=(9x^{5})^{3} + (10)^{3} which has the form of (a^{3} +b^{3} ) which means is a <em>sum of cubes.</em>

<em>Sum of cubes</em>

(a^{3} +b^{3} )=(a+b)(a^{2} -ab+b^{2})

with a= 9x^{5} y b=10

2.) Solving the sum of cubes.

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)((9x^{5})^{2}-(9x^{5})(10)+10^{2} )

(9x^{5})^{3} + (10)^{3}=(9x^{5} +10)(81x^{10}-90x^{5}+100)

.

8 0
3 years ago
PLEASE HELP PLEASEEEEE
gulaghasi [49]

Answer:

Answer:

5.46π cm³

Step-by-step explanation:

Volume of sphere= 4/3πr³

= 4/3×π×(1.6)³ cm³

=5.46π cm³

hope this helped you!

4 0
3 years ago
Other questions:
  • How do I simplify this expression?
    14·1 answer
  • What are the solutions of –7x – 60 = x2 + 10x?
    13·2 answers
  • A scientist is observing the reproduction of a certain bacteria. On Monday, she started with 2 bacteria and the number of bacter
    5·1 answer
  • Need help pleaseeeeeeeeeeee
    10·1 answer
  • A chef uses 5 pounds of flour to bake 120 blueberry muffins.
    12·2 answers
  • HHHHHEEEEELLLLLPPPPP!!!!!!!!!!!!!!!!!!
    15·1 answer
  • The store bought them for $100 and marked them up 25% but no one was buying them! So the store discounted them 25%, what is the
    14·2 answers
  • 6/9×4/7 WHOEVER ANSWERS IN UNDER 2 MINUTS I WILL MARK BRAINLIEST
    13·2 answers
  • Which pair of angles are alternate exterior?????
    5·1 answer
  • Please help! Will mark brainliest!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!