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4 years ago

What is 144/36 simplified?

1 answer:

7 0

144/36 in lowest terms is 4.

To show my work, here.

1. Find the GCF of 144 and 36 so now we divide (144/36 = 4 and 36/36 is 1)

2. Now we have 4/1 so we simplify again so divide 4/1 and its 4

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100 random students are surveyed outside of the student center on campus. Let V denote that the student has a Visa credit card a

mote1985 [20]

Answer:

(a) The value of P (M | V) is 0.30.

(b) The value of $P (M^{c} | V)$ is 0.70.

(d) The value of $P(V^{c}|M)$ is 0.625.

Step-by-step explanation:

It is provided that,

V = a student has a Visa card

M = a student has a Master card

N = 100, n (V) = 40, n (M) = 32 and n (V ∩ M) = 12.

The probability of a student having visa card is:

$P(V) = \frac{n(V)}{N}= \frac{40}{100}=0.40$

The probability of a student having master card is:

$P(M) = \frac{n(M)}{N}= \frac{32}{100}=0.32$

The probability of a student having visa card and a master card is:

$P(V\cap M) = \frac{n(V\cap M)}{N}= \frac{12}{100}=0.12$

The conditional probability of an event, say A, given that another event, say B, has already occurred is,

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

(a)

Compute the probability that a student has a master card given that he/she has a visa card also, i.e. P (M | V) as follows:

$P(M|V)=\frac{P(V\cap M)}{P(V)} =\frac{0.12}{0.40}=0.30$

Thus, the value of P (M | V) is 0.30.

(b)

Compute the probability that a student does not have a master card given that he/she has a visa card also, i.e. $P (M^{c} | V)$ as follows:

$P (M^{c} | V)=1-P(M|V)=1-0.30=0.70$

Thus, the value of $P (M^{c} | V)$ is 0.70.

(c)

Compute the probability that a student has a visa card given that he/she has a master card also, i.e. P (V | M) as follows:

$P(V|M)=\frac{P(V\cap M)}{P(M)} =\frac{0.12}{0.32}=0.375$

Thus, the value of P (V | M) is 0.375.

(d)

Compute the probability that a student does not have a visa card given that he/she has a master card also, i.e. $P(V^{c}|M)$ as follows:

$P(V^{c}|M)=1-P(V|M)=1-0.375=0.625$

Thus, the value of $P(V^{c}|M)$ is 0.625.

8 0

3 years ago

Suppose that the x-intercepts of the graph of y= f(x) are -8 and 1.

Nastasia [14]

Answer:

-4, 5

Step-by-step explanation:

y=f(x)

to find the x intercepts then y must be 0

0=f(x), solutions are x=-8, x=1

when 0=f(x+4), you simply add 4 to each intercept's x coordinate

-8+4=-4

1+4=5

-4, 5

6 0

3 years ago

Ben is 33 times as old as Daniel and is also 44 years older than Daniel. How old is Daniel?

EastWind [94]

Answer:

x = 33·y

x = y + 44

x = 45.375 ∧ y = 1.375

Maybe the following question

Ben is 3 times as old as Daniel and is also 4 years older than Daniel. How old is Daniel?

x = 6 ∧ y = 2

4 0

3 years ago

Would it ever be possible for the temperature in Celsius ( Value in numbers) to have a greater value than the temperature in Fah

laiz [17]

Anything below -40 degrees as at that point the temperatures are equal, for example -41 deg c is -41.8 deg f

6 0

3 years ago

Find the slope given the points (2, −7) and (−1, a) -13/3 b) 13/3 c) 0 d) 2/3

TEA [102]

Where is the other point? i’ll help i if i know that

7 0

3 years ago