Answer:
i) 60°
ii) 14.7 cm
Step-by-step explanation:
length of Arc BA = 8.4 cm
length of radius = 8 cm
angle AOC = 45°
BO = AO = CO = 8 cm
<u>i) What is the measure of Angle BOA </u>
= length of Arc BA / Radius
= 8.4 / 8 = 1.05 radians = 60.16° ≈ 60°
<u>ii) what is the length of arc BAC</u>
= radius * angle BAC * 
angle BAC = angle AOC + angle BOA
= 45° + 60° = 105°
hence length of arc BAC
= 8 * 105 * 
≈ 14.7 cm
Answer: find the answers in the explanation.
Step-by-step explanation:
Given that the predicted Number of Text Messages Sent = 60 – 0.8 • Age
Where the slope = - 0.8
The intercept = 60
1) the slope of the least regression line is -0.8
2.) The unit of the slope of the line is text per year
3.) Therefore, the slope of the line tells you that for every year older the smart phone user is, you can expect a typical average in text messages sent of - 0.8
4.) The y - intercept of the least square regression line is 60
5.) The unit of the y - intercept of the line are text sent
6.) The y - intercept of the line tells you the starting point. The first number of text messages sent.
Answer:
$11
Step-by-step explanation:

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.
Note that loss is written in negative.

Stock ABC has an expected gain of $11.
There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Step-by-step explanation:
Given,
Calories in each hotdog = 80 calories
Calories in each mini pizza = 50 calories
Combined meal = 20
Combined calories = 1450 calories
Let,
x represent the number of hot dogs.
y represent the number of mini pizzas.
According to given statement;
x+y=20 Eqn 1
80x+50y=1450 Eqn 2
Multiplying Eqn 1 by 80

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 30

Putting y=5 in Eqn 1

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Keywords: linear equation, elimination method
Learn more about elimination method at:
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Answer:
9 teams
Step-by-step explanation:
If the total games played was 36 and no team played each other twice, we need to ensure there isn't any double counting.
36 = (n-1) + (n-2) + (n-3) ... + (n-(n-1))
using this knowledge, we can then count up:
1+2+3+4+5+6+7+8 = 36
If our highest number is 8, then we know there must be 9 teams, because no team can play themselves.