You are going to pull two cards from a standard deck of 52 cards (without replacement) and record whether you got a face card (jack, queen, king, or ace) or a number card (2-10). Which list of events correctly makes up the sample space?

Answers

Answer 1
Answer:

Answer:

The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;

FF

FN

NF and

NN

Step-by-step explanation:

Here we have the definition of a sample space as one which has all possible outcomes

Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;

FF

FN

NF and

NN

Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.

Answer 2
Answer:

Answer:

just took the test, the correct answer is:

B) two number cards, two face cards, one number card and one face card


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Which expression gives the volume of a sphere with radius 8?A. 4(83)
B. (82)
C. (83)
D. 4(82

Answers

Given:
radius = 8

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * 8³
V = 1.33 * 3.14 * 512
V = 2,138.21 cubic unit
The volume of a sphere is (4/3)π(r^3)

Here r = 8

Then the expression for this sphere is 4π(8^3)/3 = 4*1.05 (8^4) ≈ 4(8^3)

You have to check the options..

herky is putting money into a savings account on a weekly basis to buy a dvd player that costs $179.40 including tax. he asks mario how much he should save per week to buy the player in 8 weeks if he already has $35.00 saved. mario gives him the answer and explains how he found the answer. what does mario say?

Answers

35 + 8w = 179.40
8w = 179.40 - 35
8w = 144.40
w = 144.40/8
w = 18.05 per week

Answer:a

Step-by-step explanation:

What can a doctor use to determine a patient's body fat percentage?Bioelectrical impedance machine
MRI machine
Waist measurement
Weight measurement

Answers

It is Bioelectrical impedance machine, these devices are used to measure the percentage of fat on your body so it is B

Bioelectrical impedance machine

That is definitely the answer, so A not B

The vertex of the function y=-3(x - 1)² +2 is?Can Someone please help i need the answer for this

what is the vertex function of
y=-3(x - 1)² +2

Answers

formula: f(x) = a(x – h)2 + k

transformation: 1 unit right 2 units up

vertex: (h,k) -> (1,2) it’s positive because it has to be the opposite

maximum/minimum: maximum

range: (-∞, ∞)
domain: y ≥2

The area of a rectangle is 195 dm². The width is two less than the length. What is the length and the width of tge rectangle?

Answers

The length of the rectangle is 15 dm and the width is 13 dm.

Let's assume that the length of the rectangle is "L" and the width is "W".

From the problem statement, we have two pieces of information:

The area of the rectangle is 195 dm²:

Area = Length x Width

195 dm² = L x W

The width is two less than the length:

W = L - 2

Now, we can substitute the second equation into the first equation to eliminate W and get an equation with only one variable:

195 dm² = L x (L - 2)

Simplifying the equation:

195 dm² = L² - 2L

L² - 2L - 195 dm² = 0

To solve for L, we can use the quadratic formula:

L = (-b ± √(b² - 4ac)) / 2a

Where a = 1, b = -2, and c = -195.

L = (2 ± √(2² + 4 x 1 x 195)) / 2 x 1

L = (2 ± √4 + 780) / 2

L = (2 ± √784) / 2

L = (2 ± 28) / 2

L = 15 or L = -13

Since the length can't be negative, the length of the rectangle is L = 15 dm.

Now we can use the equation W = L - 2 to find the width:

W = 15 dm - 2 dm

W = 13 dm

Therefore, the length of the rectangle is 15 dm and the width is 13 dm.

To know more about width click here:

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What is the highest common factor for 3876 and 114?

Answers

Answer:

The highest common factor would be 114


3876 = 2x3x3x17x19

114 = 2x3x19

Final answer:

The highest common factor (HCF) of 3876 and 114 is 6.

Explanation:

To find the highest common factor (HCF) of two numbers, such as 3876 and 114, we need to determine the largest number that divides evenly into both given numbers.

We can start by finding the prime factors of each number. The prime factorization of 3876 is 2 × 3 × 1,29, and the prime factorization of 114 is 2 × 3 × 19.

The common factors we can identify are 2 and 3, so the HCF of 3876 and 114 is 2 × 3, which is 6.

Learn more about highest common factor here:

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