Of the last 100 customers entering a computer shop, 25 have purchased a computer. If the relative frequency method for computing probability is used, the probability that the next customer will purchase a computer is

Answers

Answer 1
Answer:

Answer: 0.25

Step-by-step explanation:

The relative frequency of the customers that buy computers is equal to the number of customers that bought a computer divided the total number of customers that entered the shop.

p = 25/100 = 0.25

If we take this as the probability, then the probability that the next customer that enters the shop buys a computer is 0.25 or 25%

Answer 2
Answer:

Final answer:

The probability that the next customer will purchase a computer, computed using the relative frequency method, is 0.25 or 25%.

Explanation:

The subject at hand relates to the basic concept of probability, specifically the method of computing probability using the relative frequency approach. This is a common topic within high school Mathematics, specifically within statistical studies.

To calculate the relative frequency probability of an event, one divides the number of times the event occurred by the total number of trials. In this case, the event is a customer purchasing a computer from the shop. Given that the event has occurred 25 times out of the last 100 trials (customers entering the shop), the relative frequency probability can be computed as follows:

Probability = (Number of times event occurred) / (Total number of trials) = 25 / 100 = 0.25 (or 25% when expressed as a percentage).

Therefore, using the relative frequency method of computing probability, the probability that the next customer will purchase a computer is 0.25 or 25%.

Learn more about Probability here:

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A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12
(x – 6)² + y² = 36
x² + y² = 12
x² + y² = 144
(x + 6)² + y² = 36
(x + 12)² + y² = 144

Answers

Answer:

Options 2 and 5.

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+(y-k)^2=r^2      ... (1)

where, (h,k) is center and r is radius.

We need to find the circle that has a diameter of 12 units, and its center lies on the x-axis.

radius=(Diameter)/(2)=(12)/(2)=6

So, radius of required circle must be 6 and center is in the form of (a,0).

The first equation is

(x-12)^2+(y)^2=12       .... (2)

On comparing (1) and (2) we get  

h=12,k=0,r=√(12)

Center of the circle is (12,0) and radius is √(12). So, option 1 is incorrect.

Similarly,

For equation 2, center of the circle is (6,0) and radius is 6. So, option 2 is correct.

For equation 3, center of the circle is (0,0) and radius is √(12). So, option 3 is incorrect.

For equation 4, center of the circle is (0,0) and radius is 12. So, option 4 is incorrect.

For equation 5, center of the circle is (-6,0) and radius is 6. So, option 5 is correct.

For equation 6, center of the circle is (-12,0) and radius is 12. So, option 6 is incorrect.

Therefore, the correct options are 2 and 5.

its the 2nd and the 5th

Students are asked to memorize a list of 100 words. The students are given periodic quizzes to see how many words they have memorized. The function L gives the number of words memorized at time t. The rate of change of the number of words memorized is proportional to the number of words left to be memorized. 1. Which of the following differential equations could be used to model this situation, where k is a positive constant?
A. dL/dt = kL
B. dL/dt = 100 - kL
C. dL/dt = k(100 - L)
D. dL/dt = kL - 100

Answers

Answer:

C. dL/dt = k(100 - L)

Step-by-step explanation:

We have a list containing 100 words.

L = number of words memorized at time t.

At any time t, the number of words left to be memorized is 100-L.

Therefore:

(dL)/(dt)\propto 100-L\n $Introducing k, a constant  of proportion$\n(dL)/(dt)= k(100-L)

The correct option is C.

If f (x)=x/2+8 what is f (x) when x=10​

Answers

Answer: 13

Step-by-step explanation: Plug 10 in for x; 10/2=5; 5+8=13

Consider the polygon shown. Determine the value of y. PLEASE HELP​

Answers

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Foster makes sandwiches at a deli. There are 10 1/2 pounds of turkey at the deli. How many 1/4 -pound turkey sandwiches can he make?

Answers

Answer:

foster can make 42 1/4-pound turkey sandwiches!!!

explanation: 10.5 divided by 1/4 is 42

Answer:

convert pounds to ounces. theres 16 oz. in a pound.

16x10lb=160 oz + 8 additional ounces = 168 oz of meat. theres 4 oz in 1/4 lb so 168 ÷ 4 = 42 sandwiches

A scout troop 32 markers along a hiking trail. Each Microway is 9 ounces. On the scale to begin the hike, they put the markers in the backpack. If the empty backpack weighed 3 pounds, how much did the backpack weigh with all the markers in it?

Answers

Answer:

The backpack weighs 21 pounds with all the markers in it.

Step-by-step explanation:

Since they bring 32 markers and each marker is 9 ounces, the weight of all the markers is 288. We know 288 ounces is 18 pounds, so we add 18 to 3. So the backpack weighs 21 pounds with all the markers in it.