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
FromTheMoon [43]
3 years ago
11

The square of even numbers are even number .show?​

Mathematics
1 answer:
natima [27]3 years ago
3 0

Answer:

. It’s because a prime factor of all even numbers is 2. Therefore the prime factors of all even squares includes two, therefore, the square must be even.

You might be interested in
What is the lowest common denominator of 1/3 and 2/5
Citrus2011 [14]

Answer:

15

Step-by-step explanation:

3 and 5 are not common denominators so you have to find the lowest common denominator which is 15 because 3 times 5 is 15

8 0
3 years ago
Find the volume of this sphere.
Sholpan [36]
<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

  • π = 3
  • r = 2 ft²

To find the volume we apply the following formula:

  • \boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2}  }}, where
  • v = volume
  • π  = pi
  • r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3}  }}

Calculate exponent cubed

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3}  }}

Multiplying

  • \boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}

Therefore, the volume of the sphere is 32 ft³.

8 0
2 years ago
Read 2 more answers
a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ
sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}

\text{Number of possible sets}=\dfrac{250}{8}

\text{Number of possible sets}=31.25

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

\text{Number of possible sets}\approx 31

Therefore, the number of possible sets at the dance is 31.

7 0
2 years ago
The Slow Ball Challenge or The Fast Ball Challenge.
cupoosta [38]

Answer:

Fast ball challenge

Step-by-step explanation:

Given

Slow Ball Challenge

Pitches = 7

P(Hit) = 80\%

Win = \$60

Lost = \$10

Fast Ball Challenge

Pitches = 3

P(Hit) = 70\%

Win = \$60

Lost = \$10

Required

Which should he choose?

To do this, we simply calculate the expected earnings of both.

Considering the slow ball challenge

First, we calculate the binomial probability that he hits all 7 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 7 --- pitches

x = 7 --- all hits

p = 80\% = 0.80 --- probability of hit

So, we have:

P(x) =^nC_x * p^x * (1 - p)^{n - x}

P(7) =^7C_7 * 0.80^7 * (1 - 0.80)^{7 - 7}

P(7) =1 * 0.80^7 * (1 - 0.80)^0

P(7) =1 * 0.80^7 * 0.20^0

Using a calculator:

P(7) =0.2097152 --- This is the probability that he wins

i.e.

P(Win) =0.2097152

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 -0.2097152

P(Lose) = 0.7902848

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.2097152 * \$60 + 0.7902848 * \$10

Using a calculator, we have:

Expected = \$20.48576

Considering the fast ball challenge

First, we calculate the binomial probability that he hits all 3 pitches

P(x) =^nC_x * p^x * (1 - p)^{n - x}

Where

n = 3 --- pitches

x = 3 --- all hits

p = 70\% = 0.70 --- probability of hit

So, we have:

P(3) =^3C_3 * 0.70^3 * (1 - 0.70)^{3 - 3}

P(3) =1 * 0.70^3 * (1 - 0.70)^0

P(3) =1 * 0.70^3 * 0.30^0

Using a calculator:

P(3) =0.343 --- This is the probability that he wins

i.e.

P(Win) =0.343

The probability that he lose is:

P(Lose) = 1 - P(Win) ---- Complement rule

P(Lose) = 1 - 0.343

P(Lose) = 0.657

The expected value is then calculated as:

Expected = P(Win) * Win + P(Lose) * Lose

Expected = 0.343 * \$60 + 0.657 * \$10

Using a calculator, we have:

Expected = \$27.15

So, we have:

Expected = \$20.48576 -- Slow ball

Expected = \$27.15 --- Fast ball

<em>The expected earnings of the fast ball challenge is greater than that of the slow ball. Hence, he should choose the fast ball challenge.</em>

5 0
3 years ago
Solve for: <br> 3/8 + (-7/8)=
Andrei [34K]

Answer:

all work is pictured and shown

7 0
3 years ago
Read 2 more answers
Other questions:
  • Line A is perpendicular to Line B. If the slope of Line A is 2/5,what is the slope of Line B? PLS ANSWER ASAP, doing semester te
    12·2 answers
  • Each student needs 4 stencils and 6 colored pencils for a project. If a class uses 27 colored pencils for the project, how many
    8·2 answers
  • The city of St. louis is making a billboard sign for visitors to see as they enter the city
    6·1 answer
  • Which polynomial is twice the sum of 4x^2-x+1 and -6x^2+x-4
    6·1 answer
  • The product of 40 and distance to the finish line
    13·2 answers
  • What is the area?<br> 3 in<br> 2 in<br> 4 in
    10·1 answer
  • After stepping into your room with unusual lighting Michaels pupil has a diameter of 6 millimeters.What is the pupils radius
    7·1 answer
  • Which ordered pair is NOT a solution of y = 2x +1?
    14·1 answer
  • Lucy can make a pair of shorts for her daughter out of 5/8 yard of fabric. If she has 5/2 yards of fabric, how many pairs of sho
    12·1 answer
  • BRAINLIEST AND A LOTTT OF POINTS, PLEASE HELP
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!