What is the theoretical probability of rolling an odd number on a fair die with six faces?3/4
1/2
1/3
1/6

Answers

Answer 1
Answer: In a die, there are 3 odd numbers, specifically: 1, 3 and 5.
In probability for a certain event, it is a ratio of the number of favorable outcomes over the total number of possible outcomes.

Since we have 3 favorable outcomes and 6 total possible outcomes, thus
P = 3/6 = 1/2 (in lowest term)

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Simon lost 16 deliveries in August, 9 deliveries in September, and 6 deliveries in October. What integer would represent the loss of deliveries these three months?

Answers

Answer:

31

Step-by-step explanation:

16+9+6=31

hope this helps! please give brainliest :)

Answer to this question is 31

If y = 2x + 1 were changed to y = x + 1, how would the graph of the new function compare with the first one? A. It would be steeper. B. It would be shifted down. C. It would be shifted left. D. It would be less steep.

Answers

it would be less steep.. 

remember this general form y =mx + c 

where m is the slope and c is the y-axis intercept.. 

here u have changed only the slope.. the line is sloping 4 times less..

Answer:

Less steep

Step-by-step explanation:

Given the function, ƒ(x) = |x - 1| - 2, choose the correct transformation.

Answers

Answer:

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Step-by-step explanation:

We know that,

The parent function is g(x)=|x|.

Now, g(x) is transformed to the function f(x)=|x-1|-2.

That is, we see that,

g(x) is translated 1 unit to the right, which gives |x-1| and then it is translated 2 unit downwards, which gives f(x).

So, we get,

The transformation applied is 'Translation of 1 unit to the right and 2 units downwards'.

Final answer:

The function ƒ(x) = |x - 1| - 2 has two transformations. It has a horizontal shift to the right by 1 unit and a vertical shift down by 2 units.

Explanation:

The function ƒ(x) = |x - 1| - 2 is a transformation of the basic absolute value function which is |x|. This function is undergoing a shift. Specifically, it is encountering two types of transformation. The |x - 1| part implies the graph of the function is shifted to the right by 1 unit. And the -2 at the end of the function suggests that the graph is shifted downwards by 2 units. Thus, the function ƒ(x) = |x - 1| - 2 illustrates a horizontal shift to the right by 1 unit and a vertical shift downwards by 2 units.

Learn more about Function Transformation here:

brainly.com/question/37849754

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Lisa purchased a hat for $10, a purse for $20, and a book for $23.The sales-tax rate was 7.2 percent. What was the total amount she paid?

Answers

From information given Lisa bought three items.

10 + 20 + 23 = 53 dollars ( which is total pre- tax cost)

The sales tax rate is at 7.2% . Value of this tax in dollars will be:

7.2 % of 53 →  (7.2 / 100) × 53  →  0.072 × 53 =  3.816

So the tax rate value is 3.816

Total cost of items will be 53 + 3.816 =  56. 816

Rounded off  to the nearest cent 56.816   =  56.80

Therefore Lisa paid a total of $ 56.80


 

Given that a, b, and c are non-zero real numbers and a + b ≠ 0, solve for x.ax + bx - c = 0

Answers

ax+bx-c=0 \ \ \ |+c \nax+bx=c \n(a+b)x=c \ \ \ |/ (a+b), a+b \not= 0 \n\boxed{x=(c)/(a+b)}
ax+bx-c=0\nx(a+b)=c\nx=(c)/(a+b)

The diagonals of rectangle NOPQ intersect at point R. If OR=3x-4 and NP=5x+20, solve for x.A.
2
B.
3
C.
12
D.
28

Answers

Answer:

D. 28

Step-by-step explanation:

Please find the attachment.

We have been given that the diagonals of rectangle NOPQ intersect at point R. We are asked to find the value of x.

We will use diagonal property of rectangle, which states that diagonals of rectangle are equal and bisect each other.

Using diagonal property of rectangle, we can conclude that the segment NP is 2 times segment OR, so we can set an equation as:

2* OR=NP

Upon substituting the given expressions for both segments we will get,

2(3x-4)=5x+20

Using distributive property we will get,

6x-8=5x+20

Subtracting 5x from both sides we will get,

6x-5x-8=5x-5x+20

x-8=20

Now, we will add 8 on both sides

x-8+8=20+8    

x=28

Therefore, the value of x is 28 and option D is the correct choice.

D) 28 is the right answer
find the attachments for the details