Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
2(6x+5)=58
(solve for x)
x + y = 42, xy = 108 then what is x and y. Is there any (non-quadratic)formula for finding this instead of the process of elimination
Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
pls help ill give brainly
A soup can is 2 in. tall and has a diameter of 8 in.
What is the amount of metal used to make the can?
16π in²
24π in²
48π in²
160π in²
Answer:
the answer is 48π in²
explanation:
i took the quiz
PLEASE ANSWER THE QUESTION ASAP!!!!
Answer:
B
Step-by-step explanation:
Who is ~Satori Komeiji~ ?
Answer:
is a character from Touhou Project debuting in the video game, Subterranean Animism. She is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell.
Step-by-step explanation:
Answer:
She is the Mistress of the Palace of the Earth Spirits. And in turn is a n anime character
Step-by-step explanation:
will give brainliest!!
If trapezoid Q’U’A’D’ is diluted by the factor of 3/4 with respect to the origin to create trapezoid Q”U”A”D” what are the coordinates of A”?
A. (2,-4)
B.(-2,4)
C. [3/2, -3]
D. [-3/2,3]
Each batch of 48 cookies that Amy makes takes 20 minutes in the oven. If the oven is on for 3 hours and 55 minutes (15 minutes for preheating), how many cookies did Amy bake?
Answer:
528 cookies
Step-by-step explanation:
3 hours is 180 minutes
55 minutes - the 15 for preheating is 40 minutes
180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)
220 divided by 20 is 11 (total batches of cookies)
11 times 48 is 528
Sorry if my answer is confusing lol
The total number of cookies that Amy baked is 528 cookies.
What is the Subtraction operation?Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.
Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.
We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.
Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :
220 minutes / 20 minutes/batch = 11 batches.
Since each batch contains 48 cookies,
So, the total number of cookies that Amy baked is :
11 batches × 48 cookies/batch = 528 cookies.
Thus, Amy baked 528 cookies overall altogether.
Learn more about Subtraction operations here:
brainly.com/question/25834626
#SPJ12
A submarine 50.2 m below the surface of the ocean goes up 15.6 m. Then it goes down 35.7 m. What is the
submarine's new position relative to the surface of the ocean? Show your work.
Help Please?
Answer:
70.3
EXPLANATION:
ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk
Which house and decorations is better
Answer:
The First house, also has a bigger bed! :)
Step-by-step explanation:
Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me
Step-by-step explanation:
please help meeeeeeeeeee
Answer:
x=-5
Step-by-step explanation:
If f(x)=0, then x=-5
Drawing the line y=0 shows this visually
Which theorem(s) can you use to prove that the two triangles are congruent?
Answer:
To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.
The postulates are:
SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.
ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.
SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.
AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.
HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.
From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.
-22 = -11h what does H equal??
Answer:
h = 2
Step-by-step explanation:
-22 = -11h
/-11 /-11
2 = h
hope this helps
Answer:
[tex]h=2[/tex]
Step-by-step explanation:
STEP 1: Rewrite the equation as [tex]-11h=-22[/tex].
[tex]-11h=-22[/tex]
STEP 2: Divide each term by [tex]-11[/tex] and simplify.
[tex]h=2[/tex]
Determine if lines JK and LM are parallel, perpendicular or neither. J(-10, -7) K(-4, 1) L(-3, 2) M(-6, -2)
Answer:
i think it is neither
Step-by-step explanation:
Pls help I need this done soon and I suck at math
Answer: 4.5
Hope this helps :)
Can yall actually help
I need jus 3 and 6
Answer:
3.) (x,y)⇒(x+9,y-5)
6.) T'= (-4,5) U'= (1,-7) V'= (2,4) W'= ( 7,2) X'=( 5,-10) Y'=( 0,2) Z'= ( 8,-3)
Step-by-step explanation:
HELPPP ILL GIVE BRAINLIEST IF ITS RIGHT
Answer:
Mixed Number: 4 191919/1,000,000
Fraction: 4191919/1,000,000
Step-by-step explanation:
Answer:
bsysbjzjsjshshhsjsuejskbuaosnznzjz
Jess earns 10 per hour babysitting. Her friend Sam earns $12.50 per hour. If Jess started with $5, how many hours will both friends need to work before they have the same amount of money.
Answer:
they have to work 2 hours
Step-by-step explanation:
Jess has a $5+ x*$10
Sam has x*$12.5
where x-is number of hour worked
after x=1 hour
Jess has a $5+ 1*$10=$15
Sam has 1*$12.5= $12.5
afterx=2 hours
Jess has a $5+ 2*$10=$25
Sam has 2*$12.5=$25
express the scientific notation:4830000000 with all formula
Answer:
4.83 * 10^9
Step-by-step explanation:
Here, we want to express the given number in scientific notation
What we have to do here is to place the decimal number at the back of the first non zero number
The first non zero number is 4
So
let us count the number of digits after the first non zero number
That will be 9
So we make this the power of 10
And our answer will be;
4.83 *10^9
please help i will mark brainlist
Answer:
In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.
Step-by-step explanation:
(-2x+y=8) minus (5x-y=6)
Answer:-7x+2y=2
Step-by-step explanation:
(-2x+y=8)-(5x-y=6)
(-2x+y=8)> this side change since it’s negative
(-2x+y=8) - (-5x+y=-6)
-7x+2y=2
Neil's regular wage is $ 11 per hour. He gets $ 15.50 per hour for overtime. He was paid for 160 regular hours and 50 hours of overtime. How much was his total paycheck?
Answer:
$2535
Step-by-step explanation:
First, find the the pay he received for the regular hours worked. To find this, you must multiply the hours worked by his wage.
$11 × 160 = $1760
Next find the the pay received for overtime. Do the same process as above.
$15.50 × 50 = $775
Now that you have the pay for regular hours and overtime hours, add the two amounts together to find the amount for his total paycheck.
$1760 + $775 = $2535
Solve for x
9(x-1)=81
x=
Answer:
x=10
Step-by-step explanation:
[tex]9x-9=81\\9x=90\\x=10[/tex]
Margo estimated 182 divide 5 to be between 30 and 40 which basic facts did she use the photo has the basic facts
Answer:
Step-by-step explanation:
Margo estimated that 18 is close to 20 and 20/5=4
18 is also close to 15 and 15/5=3
so she figured her answer will be between 30 and 40
Answer:
[tex]15 \div 5[/tex]
Step-by-step explanation:
15 is the closest nuber to 18 making it a better assumption for her.
could someone help please? this is hard
Step-by-step explanation:
1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2
Answer:
1,2,1, 4, 1
These numbers correspond with the boxes in order from left to right.
find the slope of the line parallel to the coordinates -5, 1 and -1, 2
Answer:
m = 1/2 or 0.25
Step-by-step explanation:
Brainliest Please!!
Dogan
Dog Years
It is said that dogs age seven years for every "people year." Mason's dog. Shep, was
born on Mason's eighth birthday. When Mason was nine years old, Shep was seven
dog years old. In dog years, how old will Shep be on Mason's twelfth birthday?
Answer:
84 years old
Step-by-step explanation:
A simple 12 x 7 Since for ever 7 dog years= 1 human year
Find the value of x and y
Answer:
Step-by-step explanation:
(your value for y is correct)
this is an equilateral triangle so the right triangle’s hypotenuse is 40
to find x we need to use sin (which equals opposite of the angle over hypotenuse)
so
sin(x) = 20/40
sin(x) = 1/2
sin inverse(1/2) = x
x = 30°
A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?
Answer: 1,425 students
Step-by-step explanation: This is easy to solve using proportions/
114/8 = ?/100
First, you cross multiply (or whatever this is called sry) 100x114=11400
Then divide 11400÷8=1,425
I need help with this geometry problem please
Answer:
A. 29
Step-by-step explanation:
Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.
~theLocoCoco
between 60/25 and 60/132 1hich one is more bigger
Answer:
60/25 is greater than 60/132
Answer:
60/25
Step-by-step explanation:
Between the two, 60/25 most definitely would be the greater one of the two. Unless if you were intending 25/60, 60 divided by 25 gives you 2.4. 60/132 gives you 0.4545, so the 2.4 is greater.