Answer:
The probability is [tex]P(X < 3) = 0.7843 [/tex]
Step-by-step explanation:
From the question we are told that
The low yield rate is [tex]q = 0.98[/tex]
The sample size n = 80
Hence the probability that the bottle is bad
[tex]p = 1- q[/tex]
=> [tex]p = 1 - 0.98[/tex]
=> [tex]p =0.02[/tex]
Generally the distribution of yield follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability less than three bottles are bad is mathematically represented as
[tex]P(X < 3) = P(X = 0 ) + P(X = 1 )+ P(X = 2)[/tex]
=> [tex]P(X < 3) = ^{80}C_0 * 0.02^0 * (1- 0.02)^{80-0} +^{80}C_1 * 0.02^1 * (1- 0.02)^{80-1}+ ^{80}C_2 * 0.02^2 * (1- 0.02)^{80-2}[/tex]
=> [tex]P(X < 3) = 1 * 1 * 0.1986 + 80 * 0.02 * 0.2027 + 3160 * 0.0004 * 0,2068[/tex]
=> [tex]P(X < 3) = 0.7843 [/tex]
Answer:784 i think
Step-by-step explanation:
98 x 8 = 784. My teacher told me that when multiplying %'s you do the precent # x the #
419.045 or 419.099 which one of these is greater and which is less.
Answer:
419.099 is less than 419.045
Step-by-step explanation:
Answer:
419.099 is greater
Step-by-step explanation:
T/F. A triangle is an equilateral triangle if and only if it's equiangular.
O
True
False
Answer:
true
Step-by-step explanation:
what is 1 whole 5/8 - 1/3 ............
Answer:
1 7/24.
Step-by-step explanation:
1 whole 5/8 = 1 5/8 = 1.625
Find common denominators which is 24
So, 5/8 - 1/3 = 7/24
f (x) = 1/2 (x +4)^2 – 3
Transformation
Answer:
ok man
Step-by-step explanation:
Answer:
Assuming the parent function of f(x) = x²
Transformations:
Vertical compression by a factor of ½.Horizontal translation/shift left 4 units.Vertical translation/shift down 3 units.Tan0 plus sec0 equals cos0 divided by 1 minus sin0
Answer:
False
Step-by-step explanation:
1=cos(1)
The sides are not equal
Need help asap isnt too hard i just hate these questions
(2x-3) + (3x+6) = 73
Solve for x
2x - 3 + 3x +6 = 73
5x +3 = 73
5x = 70
x =14
Substitute x into the equations
2(x) - 3 = ?
3(x) + 6 = ?
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account. a. CD, savings account, checking account, money market account b. Savings account, checking account, CD, money market account c. CD, money market account, savings account, checking account d. Checking account, savings account, money market account, CD
Answer:
d. Checking account, savings account, money market account, CD
Answer: The answer is D. Checking account, savings account, money market account, CD.
Simplify the following.
7^1=
4^0 =
6^-1 =
Answer:
1. = 7
2. = 1
3. = 0.16
Step-by-step explanation:
3x - y = -1
-3x -y = 5
x = y =
Answer:
Step-by-step explanation:
Step 1: Solve3x-y=-1 for y
3x-y=-1
3x-y+-3x=-1+-3x (add -3x to both sides)
-y=-3x-1
-y/-1=-3x-1/-1 (divide both sides by -1)
y=3x+1
Step 2: 3x+1 for y in -3x-y=5
-3x-y=5
-3x-(3x+1)=5
-6x-1=5 (simplify both sides of the equation)
-6x-1+1=5+1 (add 1 to both sides)
-6x=6
-6x/-6=6/-6 (divide both sides by -6)
x=-1
Step 4: Substitute -1 for x in y=3x+1
y=3x+1
y=(3)(-1)+1
y=-2
ANSWER: x=-1, and y=-2
Madison’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave?
A. $2.00
B. $3.00
C. $4.00
D. $5.00
Answer:
C) $4.00
Step-by-step explanation:
Here's how I did it:
So we're trying to find 15% of $25.90... we can say that the $25.90 is 100% of Madison's Manicure... 100% can also be written as 1.0... why? well if 1.0 is 100%, then we can say any other percentage is proportionate to this... for example... 0.25 is 25% of 1.0... In this case... we are trying to add an additional 15% to the 100% price of the manicure... (Remember... with our proportion we can say that 115% is the same as 1.15) If we take our proportion:
1.15 x 25.90 = 3.89
4.00 is the closest to 3.89
therefore the answer is C) $4.00
The square root of -72
'8.48528137 i' or 'unidentified'
-72 isn't actually possible because a positive number times a positive number is always a positive and a negative number times a negative number is always a positive number. So you could say "unidentified".
But in HiGh sChOoL you'll learn about imaginary numbers (according to my teachers), and how it works is; basically just find the square root of 72 and write 'i' after. 'I' stands for imaginary number.
4 divided by 2/3 simplest form
Answer:
6
See photo for explaination.
Graph the line
y = 3x -8
Step-by-step explanation:
That is what your line should look like
:)
what is the daily average snowfall
Answer:
you know i say ummm bout 10
help please!!!! The ratio of blue marbles to red marbles in a bag is 2:3. In the same bag, the ratio of blue marbles to yellow marbles is 1:1. Which of the following statements is true?
There are less yellow marbles than red marbles.
There are less yellow marbles than blue marbles.
There are less red marbles than blue marbles.
There are less blue marbles than yellow marbles.
Answer:
There are less yellow marbles than red
:)
Step-by-step explanation:
Answer:
There are less yellow marbles than red marbles.
Step-by-step explanation:
The perimeter of a rectangular ink pad is 22 centimeters the area is 28 square centimeters
Answer
W=7
Explanation:
The formula for the perimeter for a rectangle is P = 2L + 2W
The formula for the area of a rectangle is A = LW
where L = length and W = width
P = 22 and A = 28
22 = 2L + 2W
28 = LW
Rewriting the 2nd equation L = 28/W
Substituting this into the first equation
22=2(28/W) + 2W
Reworking the equation to eliminate the denominator
22W = 2(28) + 2W2
22W = 56 + 2W2
and
2W2 - 22W + 56 = 0
Dividing by 2
W2 - 11W + 28 = 0
(W-7)(W-4)
Set each factor equal to 0 and solve each for 0
W = 4, W = 7
then W = 4
I got help from my tutor
your welcome
Which of the following functions is represented by the statement, “A number is ten less than four times another number”? f ( x ) = − 4 x − 10 f ( x ) = − 4 x − 10 f ( x ) = 4 x − 4 f ( x ) = 4 x − 4 f ( x ) = 4 x − 10 f ( x ) = 4 x − 10 f ( x ) = − 10 x + 4
Answer:
f ( x ) = 4 x − 10
Step-by-step explanation:
Is this sequence arithmetic? -2.4,9.8,22,34.2...
Answer:
Yes
Step-by-step explanation:
9.8 - (-2.4) = 12.2
22 - 9.8 = 12.2
34.2 - 22 = 12.2
Since it increases by the same amount each time it is arithmetic
What percent is16 out of 64? It is _ .
What is the value of 'x'?
Answer:
93
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
52 + 35 + x = 180
87 + x = 180
x = 93 degrees
I need help on this please and thank you and I’ll like to see an explanation so I can see how to do this thanks
the second one
Step-by-step explanation:
At the zoo, 457 students visit the giraffes and 315 adults visit the
giraffes. ABOUT how many people visited the giraffes in all? Round
to the nearest ten.
Answer:
About 770 giraffes
Step-by-step explanation:
457+315=772
Which point could be removed in order to make the relation a function?
{(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)}
(8, 3)
(3, –6)
(–1, 8)
(–4, –2)
Answer:
(3, –6)
Step-by-step explanation:
A function is a relation where one input is assigned to exactly one output.
This means that no inputs must be repeated in the relation.
(0, 2), (3, 8), (–4, –2), (3, –6), (–1, 8), (8, 3)
The input of '3' repeats in the relation.
By removing (3, -6), we can make the relation given a function.
Hope this helps.
Jon walked 90 feet in 10.4 seconds. What is his speed in miles per hour? (1 mi=5280 ft)
90/5280 = 10.4/x
Solve for x.
Fifteen more than the product of a number and seven
Answer:
15+ (B x 7)
Step-by-step explanation:
Evaluate (-12)(-2)^2
48 576
-48
Answer:
"√ 75 " "6 !/ 3 !" "√ 16" click brainliest and thanks<3
Simplify by combining like terms
m - (2m + 5n - 3m)
Answer:
=2m−5n
Step-by-step explanation:
Let's simplify step-by-step.
m−(2m+5n−3m)
Distribute the Negative Sign:
=m+−1(2m+5n−3m)
=m+−1(2m)+−1(5n)+−1(−3m)
=m+−2m+−5n+3m
Combine Like Terms:
=m+−2m+−5n+3m
=(m+−2m+3m)+(−5n)
=2m+−5n
Given that an intercepted arc has length 6π inches and the central angle is π/3 find the radius of the circle.
A)2 inches
B)3 inches
C)9 inches
D)18 inches
Answer:
18 inches
length S=radius R *angle
6π=r*π/3
πr=18π
r=18
x is called the _____ When using scientific notation the _____ is 10.
Answer:
X is called the power of
1 is 10
Thank you and please rate me as brainliest as it will help me to level up
Simplify the expression below.
(43+1)^3
A. 1223 + 1
B. 6432 + 1
C. 6413 + 48y2 + 16y + 3
D. 6413 + 4812 + 12y + 1
