Probabilities are used to determine the chances of an event.
Let P represents the event that a student passes the course, and C represents the event that a student completes the assignment
(a) The probability a student passed the course given that they completed their homework?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(C) = 30}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(C)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{30}}[/tex]
[tex]\mathbf{Pr = 0.8333}[/tex]
Express as percentage
[tex]\mathbf{Pr = 83.33\%}[/tex]
Hence, the probability a student passed the course given that they completed their homework is 83.33%
(b) The probability a student passed the course given that they didn't complete their homework
From the table, we have:
[tex]\mathbf{n(P\ n\ C'= 7}[/tex]
[tex]\mathbf{n(C') = 25}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C')}{n(C')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{7}{25}}[/tex]
[tex]\mathbf{Pr = 0.28}[/tex]
Express as percentage
[tex]\mathbf{Pr = 28\%}[/tex]
Hence, the probability a student passed the course given that they didn't complete their homework is 28%
(c) The probability a student completed their homework given that passed the course?
From the table, we have:
[tex]\mathbf{n(P\ n\ C) = 25}[/tex]
[tex]\mathbf{n(P) = 32}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P\ n\ C)}{n(P)}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{25}{32}}[/tex]
[tex]\mathbf{Pr = 0.78125}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.125\%}[/tex]
Approximate
[tex]\mathbf{Pr = 78.13\%}[/tex]
Hence, the probability a student completed their homework given that they passed the course is 78.13%
(d) The probability a student didn't complete their homework given that they didn't pass the course
From the table, we have:
[tex]\mathbf{n(P'\ n\ C'= 18}[/tex]
[tex]\mathbf{n(P) = 23}[/tex]
So, the required probability is:
[tex]\mathbf{Pr = \frac{n(P'\ n\ C')}{n(P')}}[/tex]
This gives
[tex]\mathbf{Pr = \frac{18}{23}}[/tex]
[tex]\mathbf{Pr = 0.7826}[/tex]
Express as percentage
[tex]\mathbf{Pr = 78.26\%}[/tex]
Hence, the probability a student didn't complete their homework given that they didn't pass the course is 78.26%
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Fighting for my life rn
Answer:
I think the other side on top is 129 degrees
Step-by-step explanation:
Im not 100 percent sure sorry if im wrong!!!
a ladder 7.5m long rests against a wall . the botton of ladder is 2.1m from the wall . calculate how far the ladder reaches up the wall.
PLEASE SOLVE THIS QUESTION!!
Answer:
h = √(7.5² - 2.1²) = 7.2 m
Step-by-step explanation:
Pythagorean theorem
HELP NO LINKS THOUGH!!!!!!!!
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore, the answer is :
[tex]\sf \frac{16}{21} [/tex]
A bookshelf contains 6 German books, 4 Spanish books and 7 French books. Each book is different from one another. How many different arrangements can be done of these books if
Answer:
17 different arrangements
Step-by-step explanation:
6+4+7=17
Please look at picture for question.
Answer:
The answer is D ane B
Step-by-step explanation:
The expression [tex](8z-4)(-7)[/tex] you would have to distribute -7 to get [tex]-56z+28[/tex]
The same goes for 40 in the expression [tex](-1.4z+0.7)*40[/tex]
what is the ratio of 5:2
Answer:
5/2
Step-by-step explanation:
What is the difference between (2.4x10^8) and (9.2x10^6)
Answer:
2.308×10^8
Step-by-step explanation:
Your calculator can tell you what the difference is.
2.4×10^8 -9.2×10^6 = (2.4 -0.092)×10^8 = 2.308×10^8
_____
Additional comment
If this is a problem where you're expected to round the answer to an appropriate number of significant figures, you will notice the largest contributor has a resolution of 0.1×10^8. That will be the resolution required in the answer: 2.3×10^8.
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of x bar = $6.88 per 100 pounds of watermelon. Assume that is known to be $2.00 per 100 pounds. (a) Find a 90% confidence interval for the population mean price (per 100 pounds) that farmers in this region get for their watermelon crop (in dollars). What is the margin of error (in dollars)? (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $ (b) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.) farming regions (c) A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.) lower limit $ upper limit $ margin of error $
BBCdfinancial
Answer:
antiquarian
Step-by-step explanation:
Spanish civic
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
the domain and range in this graph will be:
a. Domain : all real nums, Range : all real nums
b. Domain : - 4 Range: 2
c. domain: 2 range : 5
Answer:
a.
Step-by-step explanation:
this is a line going from -infinity to +infinity in x and in y direction.
for b or c to be right the function would have to be a single point, as nothing else is valid as value.
[2] A car is traveling at 55 MPH.
How long in minutes will it take, in minutes, to travel 33 miles?
Answer:
Step-by-step explanation:
So at 55 miles per hour you go 12 miles in a little over 13 minutes.
.
Hope this helps you to understand the problem and how to use the formula to solve it.
Distance = Speed * Time
.
You might be able to understand this by thinking, "If I go at 60 miles per hour for 2 hours,
how far do I travel?" The answer is:
.
Distance = 60 miles per hour* 2 hours = 120 miles
.
In the problem you are told that the distance to be covered is 12 miles. The speed is 55 miles
per hour. Put these into the equation and you get:
.
12 miles = 55 miles per hour * Time
.
You can then solve for the Time by dividing both sides of this equation by 55 to get:
.
12/55 = Time
.
So it takes 12/55 hours to go 12 miles. The fraction 12/55 converts to a decimal by dividing
55 into 12 to get 0.218181818 of an hour. Since an hour has 60 minutes, you can convert
the answer to minutes by multiplying 60 by 0.218181818 to get about 13.09 minutes.
g(x) = x² – 3x
h(x)=x+ 5
Find (g- h)(x)
Answer:
g(x+5)=x2+7x+10
Step-by-step explanation:
geomtry plzz help 15 points
Answer:
False.
Step-by-step explanation:
The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.
Find the accumulated value of an investment of $2000 at 8% compounded continuously for 4 years
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ t=years\dotfill &4 \end{cases} \\\\\\ A=2000e^{0.08\cdot 4}\implies A=2000e^{0.32}\implies \boxed{A\approx 2754.26}[/tex]
jelp pls with 2 work pps brainly
Answer:
The underline one is 40.
Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.
Step-by-step explanation:
Add 5 rule
Answer:
5. The tens place.
6. 35, 40, 45, 50, 55, 60, 65.... (And so on)
Step-by-step explanation:
Hoped this helped.
Given that X varies directly as Y³ and X = 54, Y = 3. find X 10 Y = 5 what is the relationship between X and Y?
Answer:
x=6y3
Step-by-step explanation:
we first find the constant of proportionality where by we say; x= ky3
we're given x = 54
and y = 3
so
54=k(3cubed)
therefore
54= 9k
divide be 9 both sides to get k which is the constant
k=6
now rewrite the equation replacing k with 6
it will be...
X=6Y3
PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?
a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?
Answer:4 dimes = 40 cents
1 nickel 3 pennies =8 cents
5 quarters and 1 dime = $1 and 35 cents
step explanation:
So There Are 3 Dogs In 25 Parks How Many Dogs In Parks Are There So This Is 3×25=? I mean It's Ez
Answer: You are right! Just multiply for your answer!
Step-by-step explanation:
Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?
Answer:
.25
Step-by-step explanation:
What is 34 ÷ 14?A) 1B) 3C) 4D) 316
Answer:
2.42
Step-by-step explanation:
Answer: 2.4
Step-by-step explanation: It is 2.4 because it is 2 remainder 6
Which is greater, -6.4 or -6.5? please explain !!
Answer:
-6.4 is GREATER.
The number closest to 0 is greater.
what is the solution set for this inequality?
-6x + 30 < -18
□ x > -2
□ x < 8
□ x > 8
□ x < -2
pls answer
Answer:
x > 8Step-by-step explanation:
= > -6x + 30 < - 18
= > 30 + 18 < 6x
= > 48 < 6x
= > x > 48/6
= > x > 8...ans
Hope it Helps you!!What are the equivalent ratios to 6:5
Ratio of 6 to 5
A ratio of 6 to 5 can be written as 6 to 5, 6:5, or 6/5. Furthermore, 6 and 5 can be the quantity or measurement of anything, such as students, fruit, weights, heights, speed and so on.
A ratio of 6 to 5 simply means that for every 6 of something, there are 5 of something else, with a total of 11
Below is a list of equivalent ratios of 6:5 that we created using our 6:5 ratio calculator above.
6:5
12:10
18:15
24:20
30:25
36:30
42:35
48:40
54:45
60:50
66:55
72:60
Share 7.20 naira between Tayo and Visit,so that Tayo gets 70 Kobo more than Bisi. how much does Tayo get?
Answer:
4.30 naira
Step-by-step explanation:
Splitting in half, we have that they both get 3.60 naira each. Adding 70 kobo to 3.60 naira, we have 4.30 naira. Since we need Tayo's share to be 70 kobo more than Bisi's, we give Tayo the bigger share and the left cash to Bisi (2.90 naira).
Tayo will get 3.95 more than the naira of the given shares.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that can be evaluated to obtain a value.
Let's call the amount that Visit gets "x".
According to the problem, Tayo gets 70 kobos (0.70 nairas) more than Visit. So, Tayo gets:
x + 0.70
The total amount of money shared between them is 7.20 naira. So, we can set up an equation:
x + (x + 0.70) = 7.20
Simplifying this equation, we get:
2x + 0.70 = 7.20
Subtracting 0.70 from both sides, we get:
2x = 6.50
Dividing both sides by 2, we get:
x = 3.25
To find out how much Tayo gets, we can use the equation we came up with earlier:
x + 0.70
Substituting x = 3.25, we get:
3.25 + 0.70 = 3.95
Therefore, Tayo will get 3.95 more than the naira.
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#SPJ2
4) When Php 20.247 is rounded to the nearest hundredths, it becomes A, Php 20.24 B. Php 20.25 C. Php 20.247 D. Php 20.248
When Php 20.247 is rounded to the nearest hundredths, the value that will be gotten is Php. 20.25.
It should be noted that the 2 after the decimal is the tenth place, 4 is in the hundredth place and 7 is in the thousandth place.
Therefore, when Php 20.247 is rounded to the nearest hundredths, we'll add 1 to 4 since the thousandths place is above 5. Therefore, the new number is Php. 20.25.
Read related link on:
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Compute the following sum of a geometric sequence: S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1 (Round your answer to two decimal places.)
The sum of the given geometric sequence to 2 dp is 936.00
To get the sum of a geometric sequence, we will use the formula for calculating the sum to infinity of the sequence as shown:
[tex]S_\infty=\frac{1}{1-r}[/tex]
a is the first term
r is the common ratio
Given the sequence S = 0.936 + 0.935 + ... + 0.92 + 0.9 + 1
a = 0.936
r = 0.935/0.936 = 0.998
Substitute into the formula
[tex]S_\infty=\frac{0.936}{1-0.999}\\S_\infty=\frac{0.936}{0.001}\\S_\infty=936[/tex]
Hence the sum of the given geometric sequence to 2 dp is 936.00
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what are the leading coefficient and degree of the polynomial?
Answer:
leading coefficient: 2degree: 7Step-by-step explanation:
The degree of a term with one variable is the exponent of the variable. The degrees of the terms (in the same order) are ...
6, 0, 7, 1
The highest-degree term is 2x^7. Its coefficient is the "leading" coefficient, because it appears first when the polynomial terms are written in decreasing order of their degree:
2x^7 -7x^6 -18x -4
The leading coefficient is 2; the degree is 7.
__
Additional comment
When a term has more than one variable, its degree is the sum of the exponents of the variables. The term xy, for example, is degree 2.
How do the expressions 5h2−3g and 3(g+h)h compare when g = 10 and h = 3?
Drag a symbol into the box to correctly complete the statement.
5h2−3g Response area 3(g+h)h when g = 10 and h = 3.
Answer:
the answer is >
Step-by-step explanation:
I took the test
can someone plz help
Answer:
77
Step-by-step explanation:
I think that's the answer, lemme know if i'm right.
11/6= 1/p
Pls help!!
Answer:
p = 6/11
Step-by-step explanation:
11/6 = 1/p
=> 11p = 6
=> p = 6/11
Hoped this helped.