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2 years ago

Select the equation that represents the question.

Mathematics

1 answer:

Pani-rosa [81]2 years ago

4 0

Answer:

12=0.005×w
the number is 2400

Step-by-step explanation:

An appropriate representation of the problem can be had by using a variable to represent "what number" and then using the math equivalent symbols for the English words. If "what number" is represented by w, then we want to translate ...

0.5% of w is 12 . . . . English

0.005 × w = 12 . . . . . . . matches choice 1

This can be solved by multiplying by 200

200(0.005w) = 200(12)

w = 2400

The number is 2400.

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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

A pretzel recipe calls for 3.325

Zepler [3.9K]

Answer: 0.35

Step-by-step explanation:

3.325 divided by 9.5 = 0.35

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3 years ago

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snow_lady [41]

Answer:

Dilate circle A by a scale factor of 4.

Step-by-step explanation:

Dilating circle A by 4 would be the same as multiplying its radius of 6 by 4, which would make it 24.

The radius of circle B is 24.

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3 years ago

The sum of two numbers is 191. One number is 17 less than the other number.

Montano1993 [528]

Answer:

87 and 104

Step-by-step explanation:

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3 years ago

If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.

zhannawk [14.2K]

Let m <1 = x then

x = 2(90 - x)
x = 180 - 2x
3x = 180

x = 60

M <1 = 60 and m < 2 = 30 degrees answer

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4 years ago