Using conditional probability, it is found that there is a 0.7873 = 78.73% probability that Mona was justifiably dropped.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Fail the test.Event B: Unfit.The probability of failing the test is composed by:
46% of 37%(are fit).100% of 63%(not fit).Hence:
[tex]P(A) = 0.46(0.37) + 0.63 = 0.8002[/tex]
The probability of both failing the test and being unfit is:
[tex]P(A \cap B) = 0.63[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.63}{0.8002} = 0.7873[/tex]
0.7873 = 78.73% probability that Mona was justifiably dropped.
A similar problem is given at https://brainly.com/question/14398287
Thirty students were sent home for a week with a video game to play. Some were sent home with video game A, others with game B. The number of hours they spent playing the game is recorded below. Which game has a higher median number of hours, and how much higher is it than the median number of hours for the other game
Answer:
U never showed the thing below.
Step-by-step explanation:
Proxima Centauri, our nearest star except for the sun, is about 4·1013 km from Earth. Find to one decimal place its distance in parsecs.
Step-by-step explanation:
The conversion for parsecs into meters is
1 parsec (pc) = [tex]3.09×10^{16}\:\text {m}[/tex]
So if Proxima Centauri is [tex]4×10^{13}\:\text{m}[/tex] away, then in terms of parsecs, this distance is
[tex]4×10^{13}\:\text{m}×\left(\dfrac{1\:\text{parsec}}{3.09×10^{16}\:\text{m}}\right)[/tex]
[tex]\;\;\;\;\;= 1.2×10^{-3}\:\text{parsec}[/tex]
Matrix fractions 1/2+2/6. I don't understand the steps in this.
Answer: 5/6
Step-by-step explanation:
You have to multiply the denominator and numerator by 3 to get the same denominato. Then you ONLY add the numerator. 3/6 + 2/6 = 5/6.
Hello Please help me.
Answer:
Step-by-step explanation:
1) D
2) B
3) no solution
y ≤ 0.5x - 4 is area C including the red line
y ≥ 0.5x + 5 is area A including the blue line
In one week, a computer shop sold 13 laptop computers and
7 desktop computers. What was the ratio of laptop computers to all
computers that were sold in the week? Describe the ratio using words.
Answer:
13:7
Step-by-step explanation:
This ratio would be 13 laptop computers for every 7 desktop computers; 13:7
help pls home work home qork
Answer:
the answer is this sign >. it means the answer on the left is greater than the one on the right
which ordered pair would be plotted in quadrant 3
Answer:
(-5,-9)
Step-by-step explanation:
3plss help...................................
A jogger ran 13.5 miles in 3 hours.
What is the unit rate?
Answer:
Unit rate = 4.5 mph.
Step-by-step explanation:
Unit rate: 13.5/3
=> Unit rate: 4.5 mph.
Hoped this helped.
Megan opened a savings account with a $500 deposit. The account pays 1.25% simple interest each year. If she neither adds nor withdraws money from the account, how much interest will she earn after 3 years? help
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 1.25\%\to \frac{1.25}{100}\dotfill &0.0125\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (500)(0.0125)(3)\implies \boxed{I = 18.75}[/tex]
2+5(8-5)
Is it 17 or 21 cause me in my sister having a full blown argument right now
Answer:
The answer is seventeen (17)
th
The Buffaloes scored 20 pointo the first part of the game. The Buffaloes total score at
the end of the game was 35 points.
What is the approximate percentage of the points scored during second part of the
game?
A
15%
43%
C.
57%
D
85%
The approximate percentage of the points scored during the second part of the game is 43%
Given the total score at the second part of the game = 35 pointsScore at the first part of the game = 20 pointsAmount of score during the second part of the game = 35 = 20 = 15 points% score in the second part = 15/35 * 100
% score in the second part = 1500/35
% score in the second part = 42.85 ≈ 43%
Hence the approximate percentage of the points scored during the second part of the game is 43%
Learn more on percentage here: https://brainly.com/question/2236179
Use the quadratic formula to find both solutions to the quadratic equation given below. Check all that apply. 2x2 – 3x + 1 = 0
Answer:
5/4 and 7/4 are the two solutions.
HELP ME I WILL GIVE POINTS
Answer:
1. 32
3. -11
Step-by-step explanation:
(To meet character limit)
Answer:
1.) 35
2.) -20
Step-by-step explanation:
What is three times a number is increased by 11 ,the result is 32
Answer:
7
Step-by-step explanation:
let x be the number
3x + 11 = 32
3x = 21............subtract both sides by 11
x = 7................divide both sides by 3
Answer:
Expression-
3×r+11=32
r=7
Step-by-step explanation:
I have run this answer the calculator a million times so trust me on this one
find 66 2/3 of 900
27 1/2% of 1200
17 1/2% of 1000
33 1/2% of 600
9514 1404 393
Answer:
600330175201 (as written) 200 (if it should be 33 1/3%)Step-by-step explanation:
The easiest way to do these is to make use of your knowledge of the decimal equivalents of fractions and percentages.
66 2/3% of 900 = 2/3 × 900 = 600
27 1/2% of 1200 = 0.275 × 1200 = 330
17 1/2% of 1000 = 0.175 × 1000 = 175 . . . . move the decimal point
33 1/3% of 600 = 1/3 × 600 = 200
or 33 1/2% of 600 = 0.335 × 600 = 201
_____
Additional comment
The repeating decimal for 1/3 is 0.33333.... As a percentage, that is 33 1/3%. Then 2/3 = 66 2/3%.
To change a percentage to a decimal, divide it by 100%.
17.5% = (17.5%)/(100%) = 17.5/100 = 0.175
__
The product 0.275 × 1200 can be rewritten as ...
0.275 × 1200 = 0.275 × 1000 × 1.2 = 275 ×1.2 = 275 + 0.2×275
= 275 +55 = 330
This is a calculation you can do in your head.
__
We suspect a couple of typos in your question. If you mean 66 2/3, not 66 2/3%, then multiply the first answer by 100 to get 60,000.
We have shown answers for both 33 1/2% as your problem says, and 33 1/3%, which would be the more usual fraction.
What is revolving credit?
A. Credit that provides a set amount of money for a specific purpose
B. Credit that is automatically renewed as debts are paid
C. Credit that requires users to pay a high interest rate
D. Credit that is issued by a financial institution other than a bank
Answer:
B. Credit that is automatically renewed as debts are paid
Hope this helps :)
Converting from the US customary system to the metric system, 16 fluid ounces is approximately equal to a) 1 gallon. O b) 160 milliliters. c) 480 milliliters. O d) 960 milliliters.
Answer:
1 oz = 29.574 ml
16 oz = About 480 ml, so, yes, the answer is C.
Step-by-step explanation:
mega movies hotel a fil premiere on Friday night. they charged $7 for adults and $5 for children. One hundred twenty-three adults and children attended, and $829 was made in ticket sales. How many children and how many adults went to the film premiere?
Answer:
107 adults 16 children
Step-by-step explanation:
can i get brainlest
y=7x+7 standard form
Answer:
7x - y = -7
Step-by-step explanation:
Hope this helps!
left parenthesis negative 2 minus 4 right parenthesis plus left parenthesis 5 minus 10 right parenthesis minus 6 left parenthesis 3 right parenthesis
Answer:-29
Step-by-step explanation:
(-2-4)+(5-10)-6(3)
-6+-5-18
If x = 5-2√6, find the value of:
(i) x + 1/x
(ii) x² + 1/x²
Please solve ASAP
Answer:
x+(1/x) = 10 and x²+ (1/x²) = 98Step-by-step explanation:
Given that :
x = 5-2√6
1/x = 1/(5-2√6)
The denominator = 5-2√6
The Rationalising factor of 5-2√6 = 5+2√6
On Rationalising the denominator then
⇛ 1/x = [1/(5-2√6)]×[(5+2√6)/5+2√6)]
⇛ 1/x = (5+2√6)/[5-2√6)(5+2√6)]
⇛ 1/x = (5+2√6)/[5²-(2√6)²]
Since (a+b)(a-b) = a²-b²
Where ,
a = 5 and b = 2√6⇛1/x = (5+2√6)/(25-24)
⇛ 1/x = (5+2√6)/1
⇛ 1/x = 5+2√6
Now,
x +(1/x)
⇛ 5-2√6+5+2√6
⇛ 5+5
⇛ 10
Therefore, x+(1/x) = 10.
On squaring both sides then
⇛ [x+(1/x)]² = 10²
⇛ x²+2(x)(1/x)+(1/x)² =100
⇛ x²+2+(1/x)² = 100
⇛ x²+(1/x²) = 100-2
⇛ x²+(1/x²) = 98
Therefore, x²+(1/x²) = 98.
Read more:
Similar questions;
Check all that apply. 2(x + 2) + 2 = 2(x + 3) + 1 2x + 3(x + 5) = 5(x – 3) 4(x + 3) = x + 12 4 – (2x + 5) = 1/2 (–4x – 2) 5(x + 4) – x = 4(x + 5) – 1.....
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A suit was marked with a 20% discount.
If the discount is $26.00, what was the original price of the suit?
Answer:
130
Step-by-step explanation:
1.What is m + 5n where m = 1 and n = 5?
A. 26
B. 52
C. 25
D. 62
ANSWER:____
2.What is 5m + 5n where m = 10 and n = -5?
A. 25
B. 26
C 62
D. 52
ANSWER:____
ADD EXPLANATION IF NECESSARY :)
Answer:
Answer# 1: A. 26
Answer# 2: A. 25
Step-by-step explanation:1. What is m + 5n where m = 1 and n = 5?
Substitute 1 for "m" and 5 for "n":
[tex]\sf (1)+5(5)[/tex]
Multiply 5*5 =25
[tex](1)+25[/tex]
Add :
[tex]\sf 26[/tex]
____________________
2. What is 5m + 5n where m = 10 and n = -5?
Substitute 10 for "m" and -5 for "n".
[tex]\sf 5\left(10\right)\:+\:5\left(-5\right)[/tex]
Multiply 5 * 10= 50
[tex]\sf 50+5\left(-5\right)[/tex]
Multiply 5 * -5 = -25
[tex]\sf 50-25[/tex]
Subtract:
[tex]\sf 25[/tex]
___________________________________
g What are the dimensions that will maximize the area of the window if you have 20 ft total for the perimeter of the window
what is the midrange
Answer:
Midrange Formula. Midrange in layman terms is the middle of any data set or the simply the average, mean of the data. A midrange is a statistical tool which is also known as the measure of center in statistics. Along with the existence of the midrange formula means, medium, average, mode, and range are also known as the measure of central tendency.
Step-by-step explanation:
: The cost of 30 sandwiche rolls at $1.50 per dozen is a. $3.00 b. $3.45 c. $3.75 d. $4.50 e. $4.80
Step-by-step explanation:
their are total 12 sandwiche rolls in a dozen so,
price of 12 sandwiche rolls are $1.50
so, cost of 1 sandwich roll = 1.50/12 = $0.125
now,
cost of 30 sandwich rolls = 30 × 0.125 = $3.75
therefore, option C is correct.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE
During a hurricane in Central Florida, the amount of rainfall R, in centimeters, is a function of time. Let R = f(t) define the amount of rain recorded by meteorologists beginning at midnight. Give an interpretation of the statements below, using the appropriate units.
A. (6) = 4.8
B. f'(6)=0.5
C. f(-1)(5) = 14
D. f(-1)'(5) = 1.5
The amount of rainfall is an illustration of inverse functions, and rates.
The function is given as: R = f(t)
(a) Interpret f(6) = 4.8
This means that:
The amount of rainfall at 6 seconds is 4.8 cm
(b) Interpret f'(6) = 0.5
f'(6) represents the rate of the function
So, this means that:
The rate at which rain falls at 6 seconds is 0.5 cm per second
(c) Interpret f^-1(5) = 14
f^-1(6) represents the inverse function
So, this means that:
The time at which 5 cm of rain falls, is 14 seconds
(d) Interpret f^-1'(5) = 1.5
f^-1'(5) represents the rate of the inverse function
So, this means that:
The rate of time when 5 cm of rain falls is 1.5 seconds per cm
Read more about functions, inverse and rates at:
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25-5x=15-2x+10-3x
What does x = and does it have one solution or infinite or no solution
Answer:
Infininte, Any number
Step-by-step explanation:
Simplify:
25 - 5x = 25 - 5x
Brainliest if correct 
Answer:
a b
They both are a type of currency from different countries in order to purchase things