The probability of exactly 3 of the containers being defective is given as 0.1468
How to solve for the probabilityWe have to set p as the probability of container being non- defective
We have p as the probability of container being defective 50 - 10 = 40
p = 40/50
= 0.8
q = 10/50
= 0.2
P(3) = 8c3 * 0.2² * 0.8⁵
= 0.1468
Hence the probability that the container has exactly 3 defective containers is 0.1468
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substitution. y = x − 35 y=-4x
Answer:
(7, - 28 )
Step-by-step explanation:
y = x - 35 → (1)
y = - 4x → (2)
substitute y = x - 35 into (2)
x - 35 = - 4x ( add 4x to both sides )\
5x - 35 = 0 ( add 35 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7
substitute x = 7 into either of the 2 equations
substituting into (1)
y = 7 - 35 = - 28
solution is (7, - 28 )
What is the area of a triangle with a base of 9 units and a height of 7 units?
Answer:
31.5 units.
Step-by-step explanation:
The area is the height times the base divided by 2.
9x7 = 63
63/2 = 31.5
the formula for converting degrees fahrenheit (f) to degrees kelvin (k) is:
solve for f, in terms of k
k=5/9(f+459.67)
Answer:
See below
Step-by-step explanation:
K = 5/9 (F + 459.67) Multiply both sides by 9/5
9/5 K = F + 459.67 Subtract 459.67 from both sides
9/5 K - 459.67 = F
Janette measures the heights in inches of some of the flowers in her garden to see which ones are growing more. the heights are listed below. which line plot represents the data correctly? 7 1 2 7 7 1 2 6 3 4 7 1 4 7 1 4 7 1 4 7 6 1 2 7 3 4 7 3 4 6 3 4 8 1 4 7 7 1 2 7 7 1 4 7 7 1 2 7 1 2 a. a line plot named b. a line plot named c. a line plot named d. a line plot named
The line plot that represents the height of the flowers in the garden is the line plot named a.
What is a line plot?A line plot is a diagram that is used to represent data. The line plot is made up of dots that are used to represents the frequency with which the number appears.
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Glass A contains 100 ml of water and glass B contains 100 ml of wine. A 10 ml spoonful of wine is taken from Glass B and mixed thoroughly with the water in Glass A. A 10 ml spoonful of the mixture from A is returned to B. Is there now more wine in the water or more water in the wine
Answer:
More wine in the water
Step-by-step explanation:
Hope this helped
You must really like math to want to answer this ngl
Answer:
a) 2/10
b) 3/20
c) option 2
Step-by-step explanation:
5. mr. and mrs. pinkerton have four boys. every time people notice this they comments to
the odds of this happening. the pinkertons decide to set up a simulation with 10 trids to
determine the probability,
The simulation that can best represent the chances of the Pinkertons having a boy or a girl is Flipping a coin.
What best shows the chances of having either a boy or girl?The question asks for the simulation that can represent the likelihood of having a boy or a girl.
Because there are two outcomes, they each have a 50% probability.
A good simulation to show this would therefore be flipping a coin because this has two outcomes as well which are heads or tails.
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Fine the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
The circumference of a circle is approximately 43.96 centimeters. what is the radius of the circle? use 3.14 for radius.
Answer:
7 cm
Step-by-step explanation:
The circumference of a circle is given in terms of its radius by the formula ...
C = 2πr . . . . where r represents the radius
__
Using the given values in the formula, we can find the radius to be ...
C/(2π) = r
43.96/(2×3.14) = r = 7 . . . . cm
The radius of the circle is 7 cm.
What is the complete factorization of x2 4x − 45? a. (x 15)(x − 3) b. (x − 9)(x 5) c. (x 9)(x − 5) d. (x − 15)(x 3)
The complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
How to determine the complete factorization?The expression is given as:
x² + 4x - 45
Expand the equation
x² + 4x - 45 = x² + 9x - 5x - 45
Factorize the expression
x² + 4x - 45 = x(x + 9) - 5(x + 9)
Factor out x + 9
x² + 4x - 45 = (x - 5)(x + 9)
Hence, the complete factor of the expression x² + 4x - 45 is (x - 5)(x + 9)
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Answer:
Factor x2+4x−45 using the AC method. (x+9) (x−5)
Step-by-step explanation: so B
help asap pls pls pls
Answer:
the answer is 13, all you had to do was substitute 5 for N, so all you had to do was 3 + 2(5) which is 13
A bag contains 5 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that all the marbles are red
Answer:
15
----
153
15=6+3+1
153=18×17÷2
The area of a rectangle is 20. The length is 5, and the width is the √x. What is the value of x? What is the width of the rectangle?
A. The value of x is 4. The width is 16.
B. The value of x is 16. The width is 4 or –4.
C. The value of x is 4. The width is 2.
D. The value of x is 16. The width is 4.
Answer:
D
Step-by-step explanation:
5([tex]\sqrt{x}[/tex]) = 20 Divide by 5
[tex]\sqrt{x}[/tex] = 4 Square both sides
x = 16
Widths can't be negative
Answer: D
Step-by-step explanation:
A = LW
[tex]\sqrt{x}[/tex] * 5 = 20
[tex](\sqrt{x} * 5)^{2} = 20^{2}[/tex] (square both sides)
x * 25 = 400
25x = 400
[tex]\frac{25x}{25} = \frac{400}{25}[/tex] (divide both sides by 25)
x = 16
[tex]\sqrt{16} = 4[/tex]
x = 16, and the width is 4.
How many millimeters are in 27 centimeters? (2 points)
a
27 mm
Ob
270 mm
Ос
2,700 mm
Od
27,000 mm
a girl exercises every day for half an hour how many minutes in total for over 5 days
Answer:
150 minutes
Step-by-step explanation:
30 × 5 = 150 minutes
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house. how long does it take jasmin to rake leaves at the second house.
The Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
Jasmin rakes leaves at two different houses. it takes her 2 1/3 hours to rake leaves at the first house. it takes her 1/2 of that time to rake leaves at the second house.
From the problem:
[tex]= \rm 2\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{3}\times \dfrac{1}{2}[/tex]
[tex]= \rm \dfrac{7}{6}[/tex]
[tex]= \rm 1\dfrac{1}{6}[/tex]
Thus, the Jasmine take 1 whole 1/6 seconds to rake leaves at the second house.
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helpppppopppppoppppppp
Thomas found a box that had a volume of 150 in3. He measured the height of the box to be 2 inches and the length was 10 inches more than the width. What is the width of the box?
7 inches
11 inches
15 inches
5 inches
Need help Bad
Answer:
D) 5 inchesStep-by-step explanation:
GivenA box with the volume of 150 in³
Dimensions of the box are
2, x and x + 10, where x- width, (x + 10) - lengthThe volume of the box is
V = lwhSubstitute the values and solve the equation for x
x(x + 10)*12 = 150x(x + 10) = 75x² + 10x - 75 = 0x² - 5x + 15x - 75 = 0x(x - 5) + 15(x - 5) = 0(x - 5)(x + 15) = 0x - 5 = 0 or x + 15 = 0x = 5 or x = - 15 (discarded as negative value)The width of the box is 5 in
Correct choice is DFind the volume of the cylinder.
Answer:
120 i am sorry if i am wrong
Step-by-step explanation:
the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong
Solve for X
13=270 (0.5)^x/7
Answer:
Step-by-step explanation:
Evaluate 1/4 c + 3d when c = 6 and d = 7
Answer:
SolutioN :
Just plug in the values of c & d in the given expression and calculate :[tex] \longrightarrow \bf \: \frac{1}{4} \times 6 + 3 \times 7[/tex]
[tex] \longrightarrow \boxed{\bf{ \frac{45}{2} }}[/tex]
Our final answer is 45/2 .--------------HappY LearninG <3 -------
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]
Evaluate 1/4c+3d when c=6, and d=7.
[tex]\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]
Replace c with 6, and d with 7:-
[tex]\Large\text{$\displaystyle\frac{1}{4} (6)+3(7)$}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\Large\text{$\displaystyle\frac{1}{4} \times\frac{6}{1}+21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4} +21$}[/tex]
[tex]\bigstar[/tex] On further simplification,
[tex]\Large\text{$\displaystyle\frac{6}{4}+\frac{84}{4}$}[/tex]
[tex]\bigstar[/tex] Adding the numerators,
[tex]\Large\text{$\displaystyle\frac{90}{4}$}[/tex]
[tex]\bigstar[/tex] Finally, Reducing the fraction:-
[tex]\Large\text{$\displaystyle\frac{45}{2}$}[/tex]
[tex]\Uparrow[/tex] [tex]\mathbb{OUR\:SIMPLIFIED\:EXPRESSION}[/tex]
Good luck with your studies.[tex]\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}[/tex]
A bus stops at a bus stop every 45 minutes. Once a person gets to the bus stio, what is the probability they will wait for no more than 20 minutes?
Answer:
≈ [tex]44.4%[/tex][tex]%[/tex]%
Step-by-step explanation:
The person will wait for no more than 20 minutes if they arrive when the bus is going to stop in 20 minutes, which means that they must arrive 25 minutes after the previous bus stops. So the probability that the person will not wait for more than 20 minutes will be [tex]\frac{20}{45}[/tex] which is about 44.4%.
what is anwer ok ok ok
Answer:
3: equally likely
4: likely
Step-by-step explanation:
Question 3:
the spinner has 1, 2, 3, 4, 5, 6
2, 4, 6 are all even number which is 3 / 6 = 1 / 2
so half a chance can be odd or half even possibility of landing
Question 4:
- 13 yellow
- 4 green
- 3 blue
total marbles: 13 + 4 + 3 = 20
yellow / total = 13 / 20
which is more than half of the marbles are yellow
the answer equally
Step-by-step explanation:
equally
Which is the graph of the circle (x−2)2+(y−1)2=25?
Answer: y=-x+31/2
Step-by-step explanation:
2x-4+2y-2=25
2y=-2x+31
y=-x+31/2
Which expression represents the volume, in cubic units, of empty space in the cube? four-thirdsπ(4.53) – (4.5)3 (9)3 – four-thirdsπ(4.52) four-thirdsπ(4.53) – (9)3 (9)3 – four-thirdsπ(4.53)
The expression that represents the volume of the empty space is 9³ - 4 / 3 π(4.5)³ cubic units.
How to find the expression for volumes?
The volume of the empty space can be represented as follows
volume of the empty space = volume of cube - volume of sphere
Therefore,
volume of sphere = 4 / 3 πr³
where
r = radiusVolume of cube = L³
where
L = side lengthTherefore,
volume of cube = 9³
volume of sphere = 4 / 3 π(4.5)³
Hence,
volume of the empty space = 9³ - 4 / 3 π(4.5)³
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Answer:
D
Step-by-step explanation:
other dude typed too much lam
The sum of two integers is 9 and their product is 18. What are the integers?
Answer:
The integers are 2.
Step-by-step explanation:
Answer: 3 and 6
Step-by-step explanation:
3+6=9
3x6=18
5 / 949 If they decide to drive 949 mi to Denver instead, how many miles will they drive each day?
Two whole number, three over five of the pupils in a school are boys. If there are 96 girls and the school,how many pupils are there in the school?
Answer:
106 students
Step-by-step explanation:
If you take the 2 3/5 and covert it into a whole number by: 2×3+5 = 10
and then you have 96 girls so you add the whole number you got that is 10 and the 96 girls
=96+10= 106 students
⋆ ˚｡⋆୨୧˚hope this helped˚୨୧⋆｡˚ ⋆
What is -8.2 ÷ 4.32 = ?
Answer:
-8.2 / 4.32 is an infinite nummber but an aproximate is -1.9 or -2
Step-by-step explanation:
{20, 25, 19, 18, 21, 24, 15, 25} What is the mean of the data set? Make sure to show ALL of your work
Answer:
20.875
Step-by-step explanation:
Mean is to add up the scores then divide by the number so 20 + 25 + 19 + 18 + 21 + 24 + 15 + 25 which is 167 then divide by 8 which is 20.875