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
nika2105 [10]
2 years ago
14

I need help with this

Mathematics
1 answer:
True [87]2 years ago
6 0

ANSWER

The greatest common factor is 1.

EXPLANATION.

The given expressions are

3 {c}^{3}  {t}^{3}  = 3  \times {c}^{3}  \times  {t}^{3}

and

4 =  {2}^{2}

The greatest common factor is the product of least powers of the common factors of the two expressions.

Since the two expressions are relatively prime, their greatest common factor is 1.

You might be interested in
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0
3 years ago
Is this answer right?
Dmitrij [34]

Answer:

  Blank 1: 64° (or 32°, depending on what the label applies to)

  Blank 2: 42

Step-by-step explanation:

It is a common mistake to believe you have solved the problem when you have found the value of the variable(s) in the problem. You have correctly found the values of n (42) and m (9). However, that is not what the problem is asking for.

We cannot tell if the value (1/2n+11)° is referring to angle DAB, or to angle CAB. In any event, (1/2n+11)° = (1/2×42 +11)° = 32°.

If that is angle CAB, then angle DAB is twice that value, 64°.

If that is angle DAB, then angle DAB is 32°.

__

The side length CD is the same as any other side length in a rhombus, so ...

  CD = 4m+6 = 4×9 +6

  CD = 42 . . . . units

3 0
2 years ago
A tennis team has won 15 out of 20 matches they played this season. How many more matches will they need to win in a row to rais
artcher [175]

Answer:

they will need to win 18/20 matches

Step-by-step explanation:

if winning 9/10 matches gives them a winning percentage of 90% then you take 9/10 and multiple it by 2 since they played two times the matches of 10, then you get 18/20

7 0
2 years ago
Need help please will give you a 5 stars
GenaCL600 [577]

Answer:

option 1

Step-by-step explanation:

Here (2,0)

(2-4) square -4 is = 0

7 0
3 years ago
Read 2 more answers
Mandy increased the amount of protein she eats every day from 48 g to 54 g. By what percentage did Mandy increase the amound of
Nikolay [14]

The answer to your question is 12.5%

3 0
2 years ago
Other questions:
  • John traveled 80% of the way from yellow-town to green-fields by train at an average speed of 80 miles per hour. the rest of the
    7·1 answer
  • A store sold 70 copies of a magazine for $350. Each copy of the magazine costs the same. Which equation and set of ordered pairs
    11·2 answers
  • If Robert was on a train and he ate 7 apples in 20 minutes, and the train takes 2 hours to get Florida how many apples will he h
    11·2 answers
  • A commercial builder has a downtown lot with 250 frontage feet on Broadway. The lot is 200’ deep. By code, the builder must allo
    8·1 answer
  • Marcus hiked 4 3/2 miles. John hiked 3 1/3 miles. How much further did Marcus hike?
    5·1 answer
  • Find the smallest non-zero whole number n such that 756n is a perfect cube.
    7·1 answer
  • What is the slope-intercept equation of the line below?
    15·1 answer
  • Plz help me thanks so much :)​
    14·1 answer
  • PLZ HELP I SUCK AT MATH :( JUST LIKE MY USERNAME SAYS :(
    9·1 answer
  • Situation:A researcher in North America discoversa fossile that contains 65% of its originalamount of C-14..-ktN=NoeNo inital am
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!