Determine whether the following probabilities are best categorized as subjective, empirical, or classical probabilities.

a. Before flipping a fair coin, Sunil assesses that he has a 50% chance of obtaining tails. Subjective probability Empirical probability Classical probability
b. At the beginning of the semester, John believes he has a 90% chance of receiving straight A’s. Subjective probability Empirical probability Classical probability
c. A political reporter announces that there is a 46% chance that the next person to come out of the conference room will be a Republican, since there are 80 Republicans and 93 Democrats in the room. Subjective probability Empirical probability Classical probability

a) Classical. This is because there are 2 sides and 1/2 = 0.50 = 50% is the chance of landing on tails. Classical probability is also known as theoretical probability.

b) Subjective. This is based off John's belief and his gut feeling. There doesn't seem to be any empirical data to back him up, unless he's looking back at previous semesters.

c) Empirical. When you have a finite set of data and you compute the probability based on it like what we're doing here, we're computing empirical probability. Another example would be that if you flipped a coin 30 times and got 17 heads, then the empirical probability of getting heads is 17/30 = 0.5667 approximately. Note how this is slightly different from the theoretical probability 0.50

Evaluate the expression for x = 5, y = 3, and z = 14.

5x−6y+20z4yz

Which postulate or theorem proves that A CFE and ADFE are congruent? o OSSS Congruence Postulate O SAS Congruence Postulate O AAS Congruence Theorem O ASA Congruence Postulate 1 2​

A florist sold 45 flowers in a day and 60 flowers on the next day. If p is the percent increase in the number of flowers sold, which proportion can be used to calculate p?

At a baseball game, Sheena bought a sandwich for $6.95 and two pretzels for $2.75 each. She paid with a $20 bill. How much change did she receive? Explain your thinking. *

Determine if the transformation of figure a to figure b is a dilation

Which point is located at (-1,3)?

Plzz Answer this Correctly!!!! It's Easy Points!!!!

The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x.

Thomas wants to put a fence around a rectangular garden that is 12 feet long and 7 feet wide. How much fencing will he need?

Find the percent of:

17% of 155 and.....

24% of 780

write an equation for the line in slope intercept form​

Which best describes the solution set of the compound inequality below? 2 + x ≤ 3x – 6 ≤ 12 4 ≤ x ≤ 9 4 ≤ x ≤ 6 –2 ≤ x ≤ 2 –2 ≤ x ≤ 3

Helpp thanksssss........

Please help it would help me alot!!!

Sofia is creating a budget to save $120 for a week of soccer camp. She earns money by working as a mother's helper on Saturday mornings and Wednesday afternoons. She earns $20 each time she works. She wants to save $7.50 a week for the camp. Her mother wants her to save $5 a week for college. She is planning on spending $5 a week for snacks and $5 a week for entertainment.

This mini-Statue of Liberty is 5.2 inches from her feet to the top of her fingertips. How big is her nose on the mini-statue?

Select all the conditions for which it is possible to construct a triangle.


Group of answer choices


A triangle with angle measures LaTeX: 60^\circ 60 ∘ , LaTeX: 80^\circ 80 ∘ , and LaTeX: 80^\circ 80 ∘


A triangle with side lengths 4 cm, 5 cm, and 6 cm


A triangle with side lengths 4 cm, 5 cm, and 15 cm


A triangle with side lengths 4 cm and 5 cm and a LaTeX: 50^\circ 50 ∘ angle


A triangle with angle measures LaTeX: 30^\circ 30 ∘ and LaTeX: 60^\circ 60 ∘ , and a 3 cm side length

Enter your answer and show all the steps that you use to solve this problem in the space provided.

Use cross products to demonstrate whether or not the two ratios are equivalent:
4/6 and 14/21.

Enter the correct answer in the box. Write the sum of √28x^6 + 4√7x^6 in simplest form, if x ≠ 0.

A line is decreasing from left to right and crosses the y-axis at-5. Which of the following equations matches the
description of the line?
A. y=5x=5
B. y=-5x-5
C. y=5x -5
D. y=-5x + 5

Veronica is making emergency- preparedness kits to share with friends. She has 20 bottles of water and 12 cans of food, which she would like to distribute equally among to kits, with nothing left over. What is the greatest number of kits Veronica can make ?

I only have 30 minutes left​

Find an explicit formula for the arithmetic sequence
81
,
54
,
27
,
0
,
.
.
.
81,54,27,0,...81, comma, 54, comma, 27, comma, 0, comma, point, point, point.
Note: the first term should be
a(1)
a(1)start text, a, left parenthesis, 1, right parenthesis, end text.

Neptunes average distance from the sun is 4.503x10^9 km. Mercury’s average distance from the sun is 5.791 x 10^7 km. About how many times farther from the sun is Neptune than mercury right answer in scientific notation

Can someone please tell me answerrrrrrr

Does this table represent a function? Why or why not?
X
у
2.
1
3
4.
4
4
5
2
5
5

Can anyone please solve this question

The variables x and y vary directly. Given the equation y = 2x , find the value of x when
y = 10.

If the quarter note equals one beat, how many beats would this note be worth?

A large cable company reports the following.

80% of its customers subscribe to its cable TV service.
41% of its customers subscribe to its Internet service.
31% of its customers subscribe to its telephone service.
25% of its customers subscribe to both its cable TV and Internet service.
20% of its customers subscribe to both its cable TV and phone service.
22% of its customers subscribe to both its Internet and phone service.
15% of its customers subscribe to all three services.

Consider the chance experiment that consists of selecting one of the cable company customers at random. Use the probability formulas of this section to find the following probabilities.

a. P(cable TV only)
b. P(Internet I cable TV)
c. P(exactly two services)
d. P(lnternet and cable TV only)

A Mountain road rises 30 feet for a 490-foot run. What is it’s slope