Using the probability concept, it is found that the correct statements are given as follows:
- The number of possible outcomes is 8.
- P(vowel) + P(consonant) = 1.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, there are eight letters, two of which are vowels and six of which are consonants.
Hence:
- P(consonant) = 6/8 = 3/4.
- P(vowel) + P(consonant) = 1/4 + 3/4 = 1.
E is one out eight letters, hence the probability is drawing the tile with E written on it is 1/8.
More can be learned about probabilities at brainly.com/question/14398287
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Answer:
Option C.
Step-by-step explanation:
Given information: In triangle ABC, ST║AC, SB=10 ft, BT=9 ft and CT=2.7 ft.
Triangle proportionality theorem: If a line segment parallel to a side of a triangle then the line segments divides the remaining sides proportionally.
Using triangle proportionality theorem we get


On cross multiplication we get


Divide both sides by 9.

The length of SA is 3ft.
Therefore, the correct option is C.
<h2>
Answer:</h2>

<h2>
Step-by-step explanation:</h2>
The question in this problem is:
<em>The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger. What are the numbers?</em>
<em />
First of all, let's name the first variable
which is the smaller number. Accordingly, the lager number will be
given that those numbers are consecutive. On the other hand<em> at most </em>conveys the idea of an inequality, which is:

So:
1. The sum of 2 consecutive integers can be written as:

2. Nine times the smaller and 5 times the larger can be written as:

Finally, the whole statement:
The sum of 2 consecutive integers is at most the difference between nine times the smaller and 5 times the larger:


The two numbers are:

Answer:
It would be 5
Step-by-step explanation:
Final Answer: 
Steps/Reasons/Explanation:
Question: What is the solution to the linear equation
?
<u>Step 1</u>: Simplify
to
.

<u>Step 2</u>: Cancel
on both sides.

<u>Step 3</u>: Subtract
from both sides.

<u>Step 4</u>: Simplify
to
.

<u>Step 5</u>: Divide both sides by
.

~I hope I helped you :)~