If a letter is chosen at random from the word ARIZONA, what is the probability of choosing an A? A. 1/7 B. 2/7 C. 4/7 D. 5/7 Please select the best answer from the choices provided A B C D

Answers

Answer 1

Answer:

2/7

There are 2 A's out of 7 letters in total...

Related Questions

You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your friend gets a point. However, you get a point if either one of the sums listed below is rolled. Which pair of numbers would make the game fair?
PLZ Help 20 points!!!!!
The least common multiple of 3, 4, 6, and 8 is A. 72.B. 24.C. 96.D. 8.
What is the finance charge on 13,300 financed at 7.9 percent for 4 years if the monthly payment per 100 is 2.74?1.) 13,300 2.) 4,192.16 3.) 1,457.68 4.) 17,492.16
What is the name of an interior angle of a triangle that is not adjacent to a given exterior angle of the triangle? A. exterior angle B. adjacent interior angle C. remote interior angle D. alternate interior angle

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies. If the baker would like to make 480 cookies, how much baking soda will be required?

Answers

Answer:

It would require 40 teaspoons

Step-by-step explanation:

Given that;

A cookie recipe requires 3 teaspoons of baking soda for 36 cookies

The amount of teaspoons of baking soda required per cookie is;

r = 3/36 teaspoons per cookie

So, for 480 cookies i would require;

N = r × 480 cookies

Substituting r, we have;

N = 3/36 teaspoons per cookie × 480 cookies

N = 40 teaspoons

It would require 40 teaspoons

Solve the equation by completing the square. Round to the nearest tenth.x^2 + 8x = 10

A. 1.1, 9.1
B. 1.1, -9.1
c. -1.1, 9.1
D. -1.1, -9.1

Answers

B.
1.1, -9.1

$x^(2) +8x=10$

Answer: The correct option is (B) 1.1, -9.1.

Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square.

$x^2+8x=10~~~~~~~~~~~~~~~~(i)$

In completing the square method, we need to make left hand side of the above given equation as a perfect square trinomial.

From equation (i), we have

$x^2+8x=10\n\n\Rightarrow x^2+2* x* 4+4^2=10+4^2\n\n\Rightarrow (x+4)^2=10+16\n\n\Rightarrow (x+4)^2=26\n\n\Rightarrow x+4=\pm√(26)\n\n\Rightarrow x=-4\pm √(26)\n\n\Rightarrow x=-4\pm 5.09\n\n\Rightarrow x=-4+5.09,~~~~~x=-4-5.09\n\n\Rightarrow x=1.09,~~~~~~~~~\Rightarrow x=-9.09.$

Rounding to the nearest tenth, we get

$x=1.1,~~-9.1.$

Thus, the required solution is x = 1.1, -9.1.

Option (B) is CORRECT.

Which of these sequences of transformations would not return a shape to its original position?Group of answer choices

1. Translate 3 units up, then 3 units down.

2. Reflect over line p, then reflect over line p again.

3. Translate 1 unit to the right, then 4 units to the left, then 3 units to the right.

4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Answers

Answer:

4. Rotate 120∘ counterclockwise around center C, then rotate 220∘ counterclockwise around C again.

Step-by-step explanation:

Option 1, 2 and 3 will return a shape back to its original because:

1. 3 units up and 3 units down are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Reflect over line p, and over p again.

This actions are also direct opposite and also have the same effect as (1)

3. Translate 1 unit to the right and 3 units to the right.

This equates to 4 units to the right and it will cancel out the translation of 4 units to the left.

4. Rotate 120 counter clockwise and another 220 counterclockwise will not make a shape go back to its original position.

Hence:

4 answers the question

Cindy says that 1/3 is an irrational number because the fraction form doesn't terminate. Construct an argument to support or refute Cindy's position.

Answers

It’s not an irrational number because it can be written as a decimal. It is in an infinite decimal but if anything can be written as a fraction it is not a irrational number. :))

Final answer:

Cindy's argument is incorrect. 1/3 is a rational number because it can be expressed as the ratio of two integers. The fact that the decimal representation of 1/3 does not terminate does not make it irrational.

Explanation:

Cindy's argument is incorrect. A fraction is considered irrational if it cannot be expressed as the ratio of two integers. In the case of 1/3, it can be expressed as the division of the integer 1 by the integer 3, so it is a rational number. The fact that the decimal representation of 1/3 (0.333...) does not terminate does not make it irrational. Irrational numbers are decimal numbers that do not repeat or terminate, such as π (pi) and √2 (the square root of 2).

Learn more about Rational and Irrational Numbers here:

brainly.com/question/33462926

#SPJ2

The binomial expansion 1.728x^3+ 3,456x² + 2,304x + 512 can be expressed as (ax + b)^3. What is the value of b?A: -12
B: -8
C: 8
D: 12