MATHEMATICS COLLEGE

16 is what percent of 20?

Answers

Answer 1
Answer:

Answer:

3.2

Step-by-step explanation:
Answer 2
Answer: 16/20 = 0.8
0.8 * 100 = 80
Solution: 80%

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What is 10 squared then the cube root of that

Answers

100cubed is 1,00,000

When graphed, which function has a horizontal asymptote at 4? A. f(x)= 2(3^x)+4
B. f(x)=2x-4
C. f(x)=-3x+4
D f(x)= 3(2^x)-4

Answers

Answer:

  A.  f(x)= 2(3^x)+4

Step-by-step explanation:

The linear equations of answer choices B and C will not have a horizontal asymptote. The exponential equation of choice D will have a horizontal asymptote at y=-4.

The appropriate choice is the exponential equation with 4 added:

  f(x) = 2(3^x)+4

For which value of k does the system has no solutions?Equation:
3x + y = 4
kx + y = −2
Answers:
A: -3
B: -2
C: 3
D: 4

Answers

Answer:

The answer to this question is 4

Step-by-step explanation:

Suppose that two cards are randomly selected from a standard​ 52-card deck. ​(a) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a clubclub and the second card is a clubclub if the sampling is done with​ replacement?

Answers

Answer:

(a)(1)/(17) (b) (1)/(16)

Step-by-step explanation:

GIVEN: Suppose that two cards are randomly selected from a standard​ 52 card deck.

TO FIND: (a) What is the probability that the first card is a club and the second card is a club if the sampling is done without​ replacement? ​(b) What is the probability that the first card is a club and the second card is a club if the sampling is done with​ replacement.

SOLUTION:

(a)

Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

                                                   =(13)/(52)

                                                   =(1)/(4)

As sampling is done without replacement.

probability that second card is club  P(B)=\frac{\text{total club cards}}{\text{total cards}}

                                                            =(12)/(51)

                                                            =(4)/(17)

Probability that first card is club and second card is club =P(A)* P(B)

                                                                                             =(1)/(4)*(4)/(17)=(1)/(17)

(b)

Probability that first card is club P(A)=\frac{\text{total club cards}}{\text{total cards}}

                                                   =(13)/(52)

                                                   =(1)/(4)

As sampling is done with replacement.

probability that second card is club  P(B)=\frac{\text{total club cards}}{\text{total cards}}

                                                            =(13)/(52)

                                                            =(1)/(4)

Probability that first card is club and second card is club =P(A)* P(B)

                                                                                             =(1)/(4)*(1)/(4)=(1)/(16)

A restaurant in a fast food franchise has determined that the chance a customer will order a soft drink is 0.88. The probability that a customer will order a hamburger is 0.53.
The probability that a customer will order french fries is 0.49.
Complete parts a and b below.
a. If a customer places an order, what is the probability that the order will include a soft drink and no fries, if these two events are independent? (Round to four decimal places as needed.)
The probability is____________.
b. The restaurant has also determined that, if a customer orders a hamburger, the probability the customer will order fries is 0.71.
Determine the probability that the order will include a hamburger and fries. (Round to four decimal places as needed.)
The probability is________

Answers

Answer:

A) P(soft drink, hamburger, no fries) = 0.1912

B) P(fries and hamburger) = 0.3763

Step-by-step explanation:

A) Probability that the order will include a soft drink, a hamburger and no fries is;

P(soft drink, hamburger, no fries) = P(soft drink) x P(hamburger) x P(no French fries)

P(soft drink, hamburger, no fries) = 0.88 x 0.53 x (1 - 0.49) = 0.88 × 0.53 × 0.41 ≈ 0.1912

B) we are told that;

P(fries|hamburger)=0.71

Since P(fries|hamburger) = P(fries and hamburger)/P(hamburger)

Thus;

0.71 = P(fries and hamburger)/0.53

P(fries and hamburger)= 0.71 *0.53

P(fries and hamburger) = 0.3763

Final answer:

Question a's answer is 0.4488 meaning there's a 44.88% chance a customer will order a soft drink and no fries. For question b, the answer is 0.3763 meaning there's a 37.63% chance that an order will include a hamburger and fries.

Explanation:

To calculate probabilities of independent events, you simply multiply the probability of each event happening.

For question a. the probability of ordering a soft drink is given as 0.88, and the probability of ordering fries is given as 0.49. However, we want the probability of ordering a soft drink and not ordering fries, which means we need to take the complement of the fries event (1-0.49) which is 0.51. Multiply the probability of ordering a soft drink (0.88) with the probability of not ordering fries (0.51):

0.88 x 0.51 = 0.4488

Therefore the probability of a customer ordering a soft drink and no fries is 0.4488.

For question b. we are given the conditional probability that a customer will order fries given they have already ordered a hamburger, which is 0.71. To calculate the joint probability of both events (hamburger and fries), we must multiply the conditional probability by the probability of the hamburger event:

0.71 x 0.53 = 0.3763

Therefore the probability of an order including a hamburger and fries is 0.3763.

Learn more about Probability here:

brainly.com/question/22962752

#SPJ3

Is the graph proportional, why or why not?

Answers

Answer: yes

Step-by-step explanation:

because it starts at 0 and continues forward
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