Answer:
1. Probability of drinking tea and finishing the lecture early = 0.2 * 0.2 = 0.04 or 4%
2. Probability of finishing the lecture early = 50% (0.3 + 0.2).
3. Probability of drinking coffee = 0.21 or 21% (0.7 * 0.3)
Step-by-step explanation:
a) Data and Calculations:
Probability Early Ending Expected Probability
Coffee 0.7 0.3 0.21
Tea 0.2 0.2 0.04
Water 0.1
b) The probability of drinking coffee, tea, or water is the chance that the lecturer drinks either coffee or tea or water. The combined probability of the three actions is always 1. The expected probability is the weighing of the probabilities with another event, ending the lecture early. This is obtained by multiplying their respective probabilities.
the difference of -9 and -6?
Answer:
15
Step-by-step explanation:
-9+9=0+6
9+6=15
That is the answer i think so
Is 8 3/5 greater than 8 6/7
Answer:
no
Step-by-step explanation:
Answer:
8 6/7 is greater than 8 3/5
Step-by-step explanation:
Step 1:
8 3/5 = 8 21/35
Step 2:
8 6/7 = 8 30/35
Answer:
8 6/7 is greater than 8 3/5
Hope This Helps :)
When 8 is added to four times a number the result is 80 find the number
Answer:
18
Step-by-step explanation:
8+4x=80
4x=72
x=18
Check
8+4x=80
8+4(18)=80
8+72=80
80=80
The frequency table shows the results of tossing a number cube 50 times. Which statement
is reasonable, based on the data?
Answer:
Option (1) is the correct option.
Step-by-step explanation:
From the given frequency table,
Option (1).
Tossing an even number is more likely than tossing an odd number.
Frequencies of tossing even numbers 2, 4, 6 = 10, 10, 9
Frequencies of tossing odd numbers 1, 3, 5 = 8, 6, 7
Which shows frequencies of tossing even numbers are more.
Therefore, Option (1) is correct.
Option (2)
The number 2 will be the next number tossed.
Since it is unpredictable, therefore, this option is incorrect.
Option (3)
Number 4 is half as likely to be tossed as the number 3.
Frequency of tossing number 3 = 6
Frequency of tossing 4 = 10
Frequency of tossing 3 is not the half of tossing 4.
Therefore, Option (3) is incorrect.
Option (4)
Probability of tossing the number 2 = [tex]\frac{\text{Frequency of tossing 2}}{\text{Total frequency}}[/tex]
= [tex]\frac{10}{8+10+6+10+7+9}[/tex]
= [tex]\frac{10}{50}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, option (4) is incorrect.
which value is a solution to the inequality 2x-5<-12?
Answer:
x < -4
Step-by-step explanation:
2x-5<-12, add 5 to both sides so then you get 2x<-8, then divide by two, x<-4 and your answer!
Answer: x<7/2
Step-by-step explanation:
Step 1. You are moving the constant, 5, to the right-hand side and changing the sign from a - to a +. Your new inequality is 2x<-12+5.
Step 2. Calculate the sum. You are adding -12 and 5. This is what your new inequality looks like: 2x<-7.
Step 3 (final step). You will now divide both sides by 2, and you will get a final answer of x<-7/2.
Hope this helps!
Find the value of B
Answer:
34
Step-by-step explanation:
b+115°+31°= 180° (sumof all angles of triangle)
b=146°-180°
b=34°
hope it helps you!
steffie matt
What is 1+6 idk know what is it I need help
The circumference of a circle is 16Pi ft
Area of the circle: 64π ft²
Radius of circle: 8 ft
The circumference formula: C = d · π
We can plug in the values we know.
16π = d · π; We can cancel out the π, as it is on both sides.
d = 16ft; r = 8ft
The area formula: A = πr²
A = 64π ft²
A golfer earned the following scores over several rounds of golf: −3, 2, 0, −1, 2, −4. Jamar says these numbers can all be described as integers, while Sophia says they are whole numbers. Which student is correct? Explain how you know.
Answer:
Jamar is correct.
Step-by-step explanation:
The scores are as follows :
−3, 2, 0, −1, 2, −4.
These numbers include negative, positive and 0 as well. These numbers cannot written in a fractional form. It means they are integers.
Here, amar says these numbers can all be described as integers, while Sophia says they are whole numbers.
It would mean that Amar is correct. Sophia is incorrect because she told that the are whole numbers. Whole numbers are simply number like 0,1,2,3,4....
The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: (-2,-7)
Step-by-step explanation:
The coordinates of B is (-2, -7).
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]
Given:
Let the coordinates of B be (x, y).
We have to find the coordinates of B.
According to given question we have,
Then, (x + 2) / 2 = x-coordinate of M = 0.
So, x = -2.
(y + 1) / 2 = y-coordinate of M = -3.
So, y = -7.
Therefore, the coordinates of B is (-2, -7).
Learn more details about co-ordinate geometry here:
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Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age. Which equation can be used to solve for Sammy's age?
Answer:
24
Step-by-step explanation:
let Sammy's age be x and Lisa y
since Lisa is 4years older than Sammy
y=x+4
28-4=y
y=24
A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produce
Factory A: 2b3 – 3b2 + b - 120
Factory B: 4b2 – 3b – 260
Which polynomial represents the company's total output?
A. 6b3 – 3b2 - 3b - 140
B. 2b3 - 7b2 + 4b + 140
C 2b3 + b2 - 2b - 380
D. 6b3 – 6b2 + b + 380
Answer:
C 2b3 + b2 - 2b - 380
Step-by-step explanation:
Given:
Factory A: 2b^3 – 3b^2 + b - 120
Factory B: 4b^2 – 3b – 260
The company's total output = factory A + factory B
= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)
= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260
Collect like terms
= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260
= 2b^3 + b^2 - 2b - 380
C. 2b^3 + b^2 - 2b - 380
Option C is the correct answer
Answer: C) 2b^3+b^2-2b-380
Step-by-step explanation:
I had this question on a recent test and got it right
Hope this helps! :)
A ballroom is 60 ft long and 30 ft wide. Which of the following formulas is the correct formula to determine the perimeter of the ballroom
Answer:
2l+2w, 60+60+30+30
Step-by-step explanation:
2(length)+2(width)
The perimeter of the ballroom will be represented by 2l+2w, and 2( 60 + 30 ).
What is a perimeter?The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.
A quadrilateral with four right angles is a rectangle. As all of its angles are equal, it can alternatively be described as an equiangular quadrilateral or a parallelogram with a right angle.
Given that a ballroom is 60 ft long and 30 ft wide. The equation for the perimeter of the ballroom will be calculated as:-
Perimeter = 2 ( l + w)
Perimeter = 2 ( 60 + 30 )
To know more about perimeter follow
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What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
Find the difference. (3 • 1,000) – (2 • 100) 100 1,000 1,900 2,800
Answer:
[tex]2,800[/tex]
Step-by-step explanation:
[tex]\left(3\cdot \:1,000\right)-\left(2\cdot \:100\right)[/tex]
[tex]3,000-\left(2\cdot \:100\right)[/tex]
[tex]3,000-200[/tex]
[tex]2,800[/tex]
The governor of state A earns $54,675 more than the governor of state B. If the total of their salaries is $284,695, find the salaries of each.
The governor of state A earns $nothing, and the governor of state B earns $nothing.
Answer:
Government A earns 54 675 US$, Government B earns 230 020 US$
Step-by-step explanation:
Please help me with these two questions.
Answer:
gooooooooood
Step-by-step explanation:
I kie that
Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5
Answer:
the equation does not proove
Step-by-step explanation:
l.h.s
(3-5)(4)
12-20
-8
r.h.s
3(4)-5
12-5
7
therefore, l.h.s is not equal to r.h.s so the equation is wrong
In your notebook, draw ray OB between ray OA and OC. When you have finished, select the figure below that represents the figure you drew. (please help)
Answer:
I'm fairly certain the answer is A, The first one
explanation:
Ray OB is between rays OA and OC
the square root of a number, less than nine (write into a verbal expression)
Answer: 9 - [tex]\sqrt{x}[/tex]
Step-by-step explanation:
Let say the number is x.
So the square root of x will be [tex]\sqrt{x}[/tex] and is less than 9 so we will subtract that from 9.
[tex]9-\sqrt{x}[/tex]
15 multiplied by what makes 80
Answer:
5.33
Step-by-step explanation:
It is a repetitive decimal.
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
5
how do we use inverse functions in everyday life
we basically use inverse functions in our daily lives all the time
to give you a more complicated example : knowing the interest rate, you have a function to calculate the cumulative value of an installment payment
functions are also used in computing
proportional relationships
Answer:
relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Step-by-step explanation:
a/b=c for b helpp!! please
A / b = c
Multiply both sides by b
A = bc
Divide both sides by c
A / c = b
Is this correct? Please let me know
Answer:
Step-by-step explanation:
i think yes
How do you solve the equation -x/3=27
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
6.6 as a mixed number
put these numbers -23, 2, 0.7, 5, 16,0, 3.89, -4 in sections of rational, irrational, whole numbers, and integers
Vocabulary Check:
Integers are numbers that are neither fractions nor decimals.
Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.
Integers = -23, 2, 3, 16, 0, -4
Whole Numbers = 0, 2, 3, 16
Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4
Irrational: None