Look at this set of order pairs (15,17) (9,9) (15,-7) Is this relation a function?

Vidriana rolled a number cube 96 times. Her results are shown in the table, what is the experimental probability of rolling an e

hichkok12 [17]

Answer:

50/96

Step-by-step explanation:

I assume the table is:

$\left[\begin{array}{cc}Result&Total\\1&15\\2&13\\3&16\\4&17\\5&15\\6&20\end{array}\right]$

Even numbers are 2, 4, and 6. The total number of times she rolled an even number is 13 + 17 + 20 = 50.

So the probability is 50/96.

7 0

3 years ago

WILL GIVE ALL 5 AND BRAINLIEST

zheka24 [161]

Answer:

Top to bottom

less

greater

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the volume of the rectangular prism.

algol13

Answer: 105

Step-by-step explanation: 3 x 7 x 5= 105

3 0

3 years ago

Read 2 more answers

Question 2 (2 points)

hoa [83]

Answer:

4) The limit does not exist.

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}$

Step 2: Find Left-Side Limit

Substitute in function [Left-Side Limit]: $\displaystyle \lim_{x \to 5^-} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0$

Step 2: Find Left-Side Limit

Substitute in function [Right-Side Limit]: $\displaystyle \lim_{x \to 5^+} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ since $\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)$ , $\displaystyle \lim_{x \to 5} f(x) = \text{DNE}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago

Find all angles, 0≤θ<360, that satisfy the equation below, to the nearest 10th of a degree.

natta225 [31]

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

<h3>Trigonometry identity</h3>

Trigonometry identities are expressed as a function of cosine, sine and tangent.

Given the trigonometry expression shown

4cos2θ+9=−14cosθ

Equate to zero

4cos2θ+9 + 14cosθ = 0

According to trig identity

cos2θ = 2cos²θ - 1

Substitute to have:

4(2cos²θ - 1)+9 + 14cosθ = 0

Expand

8cos²θ - 4 + 9 + 14cosθ = 0

8cos²θ+ 14cosθ + 5 = 0

let P = cosθ to have;

8P² + 14P + 5 = 0

Factorize the result

8P² + 10P + 4P + 5 = 0

2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4

P = -1/2 and -5/4

Recall that P = cosθ

If P = -1/2

cosθ = -1/2

θ = -60

Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees

Learn more on trigonometry identity here: brainly.com/question/24349828

#SPJ1

3 0

2 years ago