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2 years ago

5. Using the factor tree, What are the prime factors of 36

Mathematics

1 answer:

alex41 [277]2 years ago

7 0

Answer:

Step-by-step explanation:

A factor tree is not unique for a given number. Instead of expressing 36 as 2 × 18, we can express 36 as 6 × 6. Prime factorization of 36 using factor tree method is 2 × 2 × 3 × 3 = 2² × 3².

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According to the Stack Overflow Developers Survey of 20184, 25.8% of developers are students.The probability that a developer is

murzikaleks [220]

Answer:

0.0326 = 3.26% probability that she is a student.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Woman developer

Event B: Student

Probability that the developer is a woman:

7.4% of 25.8%(students).

76.4% of 100 - 25.8 = 74.2%(not students). So

$P(A) = 0.074*0.258 + 0.764*0.742 = 0.58598$

Student and woman developer.

7.4% of 25.8%(students), so

$P(A \cap B) = 0.074*0.258 = 0.019092$

If we encounter a woman developer, what is the probability that she is a student

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.019092}{0.58598} = 0.0326$

0.0326 = 3.26% probability that she is a student.

5 0

2 years ago

In the standard (x,y) coordinate plane, what is the slope of the line 4x+7y=9?

o-na [289]

Answer: -4/7

Step-by-step explanation:

To find the slope, let's change the equation to slope-intercept form.

$4x+7y=9$ [subtract both sides by 4x]

$7y=-4x+9$ [divide both sides by 7]

$y=-\frac{4}{7}x+\frac{9}{7}$

Now, we know the slope is -4/7.

5 0

3 years ago

Terri's teacher gives her the equation 3(5)^x=127-2x, and tells her that she will not know how to solve it algebraically. Explai

kirza4 [7]

$f(x)=3\cdot5^x\ \ \ and\ \ \ g(x)=127-2x\\\\f(x)=g(x)\ \ \ \Leftrightarrow\ \ \ x\approx2.3043\\\\the\ graph\ in\ annex$

8 0

2 years ago

If 2a/4=b/4 and b≠0, what does 5b equal in terms of a?

dedylja [7]

Step-by-step explanation:

you must have made a typo here.

none of the answer options are correct for the given problem.

let me just show you what you told me, and how I can solve at least this :

2a/4 = b/4

this simply means (multiply both sides by 4) :

2a = b

so, 5b is then (multiplying both sides by 5) :

5×2a = 5b

10a = 5b

but again, "10a" is not among the offered answers.

so, I don't know if you made a mistake with the basic problem or with the answer options.

8 0

1 year ago

En un examen calificado del 0 al 10, 3 personas obtuvieron 5 de nota, 5 personas obtuvieron 4 de nota, y 2 personas obtuvieron 3

Nastasia [14]

Answer:

Media = 4.1

Mediana = 4

Moda = 4

Step-by-step explanation:

3 personas obtuvieron 5 puntos

5 personas obtuvieron 4 puntos

2 personas lograron 3 puntos

a. La media se da como:

Media = suma total de marcas / número de personas

Por lo tanto, la media será:

$M = \frac{((3 * 5) + (5 * 4) + (2 * 3)}{10}\\ \\M = \frac{15 + 20 + 6}{10} \\\\M = \frac{41}{10}\\ \\M = 4.1$

b. Para obtener la mediana, tenemos que organizar los términos en consecuencia y encontrar el número en el medio.

3, 3, 4, 4, 4, 4, 4, 5, 5, 5

Como no hay un número único en el medio, la mediana es:

(4 + 4) / 2 = 8/2 = 4

c. La moda es el número que aparece más, y eso es 4

8 0

3 years ago