Answer:
The probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Step-by-step explanation:
Sample space is a set of all possible outcomes of an experiment.
In this case we will write the sample space in the form (x, y).
Here x represents the course taught by the first part-time instructor and y represents the course taught by the second part-time instructor.
Denote every course by their first letter.
The sample space is as follows:
S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}
The outcomes where the the instructors will teach different courses are:
s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}
The probability of an events E is the ratio of the number of favorable outcomes to the total number of outcomes.
[tex]P(E)=\frac{n(E)}{N}[/tex]
Compute the probability that they will teach different courses as follows:
[tex]P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}[/tex]
Thus, the probability that they will teach different courses is [tex]\frac{2}{3}[/tex].
Can someone help me answer this
Monday 4hours and 30minutes were worked
do 12-8 then take the thirty minutes and add it on to the difference
because that is the time she is working
happy to help plz mark brainliest
help with this please
1 bookcase = 1/5 gallons
x bookcase = 3 gallons
1/5x = 3
x = 3/0.2
x = 15
Question 5 of 8 -
Eureka Math G5 EOMI Assessment (2020-2021)
Which choice is a reasonable product for the expression 8 x 2.48 ?
O 1.984
19.84
198.4
0 1984
Explain why your choice is correct using words and numbers.
Answer:
8 x 2.48 = 19.84
Step-by-step explanation:
We need to find the product for the expression 8 x 2.48.
First no is 8 and second no is 2.48
Product means to multiply.
We can write 2.48 as [tex]\dfrac{248}{100}[/tex]
i.e.
[tex]8\times \dfrac{248}{100}\\\\=\dfrac{1984}{100}[/tex]
Now, apply decimal after 9. So,
8 x 2.48 = 19.84
Hence, the correct option is (b).
Over spring break, Shane works as a lifeguard at his community pool.He works 16.25 hours every week of his 2-week break. He puts
2
5
of his earnings toward a new computer. If he makes $13 per hour, how much money does he save for his computer?
Answer:
$169
Step-by-step explanation:
Multiply 16.25 x 2 so you can find how many hours he worked
32.50 hours, so now you multiply that by 13 so you know how much money he earned
$422.50, so now you multiply 2/5 x 422.50
Your answer will be 169 dollars
Answer:
169
Step-by-step explanation:
The points given in the table lie on a line. Find the slope of each line.
Answer:
-2.5
Step-by-step explanation:
The slope of a line can be found by dividing the rise over the run between two points. The rise is the difference between the y-values, and the run is the difference between the x-values. For both, the value with the greater x-value comes first as you are seeing how much it has changed from the first value to the the other.
Let's use the first two points to find the slope: (0,9), (2,4)
(2,4) has the greater x-value, so the rise between the points would be -5, as 4 - 9 = -5
The run would be 2, as 2-0 = 2.
Therefore the slope would be: -5/2 = -2.5
Hope this helped!
A delivery company is logging the number of miles each employee drives each day. The company found an average of about 85.6 miles. Assume that the standard deviation is 9.85 miles and that a random sample of 50 drivers was used to determine the average. Which statements are true about this situation?
The 99% confidence interval is from about 81.43 to 90.58 miles.
The 95% confidence interval is from about 82.87 to 88.33 miles.
The margin of error for 99% confidence is about 3.59 miles.
The sample isn’t large enough to use a normal distribution.
The margin of error for 95% confidence is about 2.52 miles.
Answer:
B. The 95% confidence interval is from about 82.87 to 88.33 miles.
C. The margin of error for 99% confidence is about 3.59 miles.
Step-by-step explanation:
No cheese detected or anything hehehe
the shop pays workers $14.25 per hour plus 5.5% commision. If someone works 18 hours and sells $240 worth of merchandise, what is the total amount of their paycheck for this pay period?
Answer:
Their paycheck will be $269.70
Step-by-step explanation:
18x14.25=256.50+13.20=269.70
The question is in the picture attached to this. Here are the answer choices somebody help quick please
a. (x,y)➡️(-x,-y)
b. (x,y)➡️(-x,y)
c. (x,y)➡️(x,-y)
d. (x,y)➡️(y,x)
Answer:
c
Step-by-step explanation:
Since the image was created by reflecting across the x-axis,
that means that the original triangle was in the fourth quadrant
the image however is in the first quadrant
the coordinates of something in the fourth quadrant is (x, -y)
the coordinates of something in the first quadrant is (x, y)
so the answer is "c" since (x, -(y)) = (x, -y)
Easy 7th grade math help me plz
Answer: -1
....................
The local monsters are currently throwing a bash
known as the Monster Mash. At the beginning of the
party, there were 5 monsters attending. At the end
of the party there were 225 monsters. If an average
4 monsters came to the bash every minute of the
party, how long did this Graveyard Smash last?
Answer: 55 minutes
Step-by-step explanation:
First, you would have to subtract 5 from 225 because there are already 5 monsters there.
225-5= 220
Next, you would have to divide 220 by 4 to find the amount of minutes.
220/4= 55
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get
Answer:
131.25
Step-by-step explanation:
Each of them would get 105 candies, as they are 5 in total.
Given that,
Michael and four friends went trick-or-treating in his neighborhood they collected 525 pieces of candy if they split the candy evenly how many pieces of candy did each person get is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
here,
Total number of candies = 525
Total person = 5
Each of them get = 525 / 5 = 105
Thus, each of them would get 105 candies, as they are 5 in total.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
35 is what percent of 50?
Answer:
17.5
Step-by-step explanation:
35% of 50 is 17.5
Plzzz help meeeeeeee
The difference of two numbers is 12 while their product is 45. Find all
such numbers
Your mom needs 2 potatoes, 1 pounds of asparagus, and 2 pounds of fish. How
much did your mom spend on her grocery shipping, not including tax? Answer in hundredth
I need help ASAP it’s due in 4 hours! Thank you!
Answer:
$13.42
Step-by-step explanation:
Two potatoes cost $2.50
$3.75 ÷ 3 = $1.25 $1.25 x 2 = $2.50
1 lb of asparagus is $2.48
$4.95 ÷ 2 = $2.48
2 lbs of fish cost $8.44
$12.65 ÷ 3 = $4.22 $4.22 x 2 = $8.44
$2.5 + $2.48 + $8.44 = $13.42
what is one fourth of 36,500,000 in scientific notation
Answer:
9.125 × 10^6
Step-by-step explanation:
36,500,000 ÷ 4 = 9,125,000 = 9.125 × 10^6
during a snowstorm snow falls are you concentrating is recorded by material is potato spot in the graph below
Answer:
i-what?
Step-by-step explanation:
Solve the inequality
Answer:
x is greater than or equal to 3
Step-by-step explanation:
4x-5>7 (equation)
4x>12 (add 5 to both sides)
x>3 (divide both sides by 4)
a table cell phone 33% off the sale price is $536
Answer:
Its new price is 176.88
Step-by-step explanation:
change the 33% to a decimal (.33) then multiply the decimal with the 536
looks something like this:
536(.33)
then solve.
Hopes this helps.
Which pair of angles must be supplementary?
2
1
5
3
4
o 1 and 5
0 5 and 3
04 and 5
O 4 and 1
What is −5/6÷9/10? DO YOU LIKE CHEESE?
−27/25
−4/3
−25/27
−3/4
Answer:
− 25 /27
Step-by-step explanation:
Answer:
-25/27
Step-by-step explanation:
get fraction calculator plus very helpful on Android and Apple
solve for the value of the variable x
Answer:
[tex]\frac{-10}{3}[/tex]
Step-by-step explanation:
Cancel x+2 by multilying it with all terms.
x=2+4(x+2)
SImplify both sides
x=4x+10
Subtract 4 on both sides
−3x=10
Divide bot sides by -3
You get [tex]\frac{-10}{3}[/tex]
Glad to help.
1) Refer to the relation below to answer the following questions:
(a) What is the domain of the relation?
(b) What is the range of the relation?
{(-1,7),(0,5),(2,5),(5,6)}
a. {-1,0,2,5}
b. {7,5,5,6}
Find the midpoint of the line segment joining points A and B.
A(8,-5); B(6.1)
The midpoint of the line segment is (Type an ordered pair.)
Answer:
(7,-2)
Step-by-step explanation:
6+8÷2=7
1-5=-4÷2=-2
Find the equation of a line parallel to 3x – 3y = 5 that contains the point (-1, -5), Write
the equation in slope-intercept form.
Answer:
y=x-4
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula y-y1=m(x-x1) to find the line parallel to 3x-3y=5.
Lara took a total of 10 pages of notes during 2 hours of class. After attending 9 hours of
class, how many total pages of notes will Lara have in her notebook? Solve using unit rates.
Answer:
45 pages
Step-by-step explanation:
The unit rate is
10 pages /2 hours
5 pages per hour
We have 9 hours
5 pages per hour * 9 hours
45 pages
Answer:
45 pages in 9 hours
Step-by-step explanation:
Divide to find the unit rate of pages per hour.
10/2 = 5 pages per hour
Multiply.
5*9 = 45
Best of Luck!
the owner of an apple orchard ships apples in boxes that weigh 2 kilograms ( kg ) when empty. the average apple weighs 0.25 kg and the total weight of a box filled with apples is 12 kg. how many apples are packed in each box?
a. 14
b. 30
c. 40
d. 56
Answer: C=40
Step-by-step explanation: X=40 APPLES PER BOX.
PROOF:
2+.25*40=12
2+10=12
12=12
An up-and-coming artist has 85 followers on Twitter and this number doubles every week. In what week will the artist first reach 1,000 followers? Use at least two different methods to come up with your answer
Answer:
11.77
Step-by-step explanation:
1000÷85=11.77
11.77×85=1000
Write the sum as the logarithm of a single expression. Assume that variables represent positive numbers.
log68+log6z
both 6 are exponents on the bottom.
please help.
Answer:
6z log 6Step-by-step explanation:
Use of property
log ab = log a + log blog a^b = b log aGivenlog 6^8 + log 6^zSolutionlog 6^8 + log 6^z =log (6^8*6^z) =log (6^6z) =6z log 6What is the square root of -1
Answer:
i
Step-by-step explanation:
