Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
Which statement is true about the factorization of 30x2 + 40xy + 51y2?
O The polynomial can be rewritten after factoring as 10(3x2 + 4xy + 5y2).
O The polynomial can be rewritten as the product of a trinomial and xy.
The greatest common factor of the polynomial is 51x?y2.
The greatest common factor of the terms is 1.
Answer:
The Answer Is That "The Greatest Common Factor Of The Terms Is 1."
Step-by-step explanation:
Took The Test.
The polynomial is factorized and greatest common factor of the terms is 1
What is Factorizing?Brackets should be expanded in the following ways to factorize an expression
For an expression of the form A = a ( b + c ) , the expanded version is given by A = ab + ac, i.e., multiply the term outside the bracket by everything inside the bracket
For an expression of the form A = ( a + b ) ( c + d ) , the expanded version is given by A = ac + ad + bc + bd, in other words everything in the first bracket should be multiplied by everything in the second.
Given data ,
Let the polynomial be represented as A
Now , the value of A is
A = 30x² + 40xy + 51y² be equation (1)
Now , the expression can be factorized as
The factors of 30 = 1 , 2 , 3 , 5 , 6 , 15 and 30
The factors of 40 = 1 , 2 , 4 , 5 , 8 , 10 , 20 and 40
The factors of 51 = 1 , 17 , 51
Therefore , the greatest common factor is 1
Hence , the factorized form of the equation is A = 30x² + 40xy + 51y²
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The amount of time a certain brand of light bulb lasts is normally distributed with a
mean of 1600 hours and a standard deviation of 70 hours. Using the empirical rule,
determine what interval of hours represents the lifespan of the middle 99.7% of light
bulbs.
help fast please!!
Using the Empirical Rule, it is found that the interval of hours that represents the lifespan of the middle 99.7% of light bulbs is (1390, 1810).
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.The middle 99.7% is within 3 standard deviations of the mean, hence:
1600 - 3 x 70 = 1390.1600 + 3 x 70 = 1810.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Need help ASAP PLEASE AND SHOW WORk DUE SOON !!!
Answer: Wrong formula, forgot to input the radius instead
Step-by-step explanation:
Formula is pie times radius^2
Find radius by dividing the diameter by half then multiplying it by pi (3.14)
An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions. How many different schedules are possible?
An outdoor summer camp offers its campers 14 activities. Campers make a 3 schedule. So, 4.6 different schedules are possible.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
An outdoor summer camp offers its campers 14 activities. Campers make a schedule for their morning, afternoon, and evening sessions.
The total number of activities = 14
The total number of schedules = 3
So, The possible different schedules will be
14 divided by 3 = 14/ 3
= 4.6
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please answer make your answer clear please
hey what's the answer !!
[tex] \sqrt{25 \times 3 \times 27} [/tex]
(~‾▿‾)~
Answer:
[tex] \sqrt{25 \times 3 \times 27} [/tex]
[tex] \sqrt{5²×9²} [/tex]=±[5×9]=±45
Step-by-step explanation:
hope it is helpful to you (｡◕‿◕｡)➜(｡◕‿◕｡)➜
PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.
Answer:
43.98
Step-by-step explanation:
did some quick maths
c=2
[tex]c = 2 \times \pi \times r[/tex]
The Friendly Car Rentals rents cars for $35 a day. In addition to the car rental fees, there is a one time $9 fuel charge.
Answer:
What is the question to this?
I’m not 100% sure on this
Answer:
it's D I think
Step-by-step explanation:
..........
Answer:
D
Step-by-step explanation:
A line segment is a straight line that ends , the arrows mean the the ray or line dont end
If your car gets 22 miles per gallon of gasoline, how far
could you drive if your car has 10 gallons of gas in it?
Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.
plain bagels6
onion bagels 6
poppy seed bagels 4
What is the experimental probability that the next bagel sold will be a poppy seed bagel?
Write your answer as a fraction or whole number.
P(poppy seed bagel)
CAN YOU ALSO EXPLAIN HOW YOU DID IT PLEASE
Answer:
16
Step-by-step explanation:
add
Answer:
1/4
Step-by-step explanation:
Help I need help I don’t understand
Answer:
a) 0
b)2
Step-by-step explanation:
a) Basically, the question is asking what the x value is when the y value is at 4, which would be 0.
b) Same thing here, but with the x value is when the y value is -2.
Find the value of one of the variables. Help
Answer:
x=10.21463052 y= 8.755647273
Step-by-step explanation:
i suggest u round.
50 POINTS HELP PLEASE MATH BE RIGHT
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.Unit 7 Test, Part 2:
Modeling with Geometry
Total score: 15 points
Answer the following questions, showing all of your work. Submit your work to the
assignment box.
NOTICE how the points are broken down above each problem.
This lets you know what information is mandatory to give me in your answer.
(5 total points - 1 point correct equation for volume, 1 point correct value for x; 1
point explanation for finding x; 2 points explanation of what x- and y- coordinates
represent)
1)
A box without a top is to be made to hold copious bags of candy. It is made
from a rectangular piece of cardboard, with dimensions: width choose a number
between 1.5 ft and 3.5 ft _______ and length choose a number between 4 ft and 6ft
_______, by cutting out square corners with side length
x
and folding up the sides.
(a)
Write an equation for the volume
V
of the box in terms of
x
.
(b)
Use Desmos to graph and estimate the value of
x
,
to the nearest tenth
, that
gives the greatest volume. Explain your process. Post a snapshot of your graph
with your work.
(c)
Explain what the x- and y-coordinates represent in your eqution
Let the length of the side of the square being cut out equal x
The length of the box would be 4.5 - 2x
The width of the box would be 3 -2x
Volume = (4.5 -2x) * (3-2x) * x
Simplify to:
V = 4x^3 - 15x^2 + 13.5x
B See picture: The greatest volume would be the point of the highest curve.
x = 0.589 y = 3.565, Rounded to the nearest tenth x = 0.6
Process: entered the equation from A into Desmos. The Y value would be the volume, so found where the volume was the highest and then found the related x value.
C) X is the side length of the corner squares being cut out, which would also be the height of the box. The Y value is the volume of the box.
Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i
Answer:
c.
Step-by-step explanation:
from the expression (9 + 3i) - (-4 + i);
STEP 1: multiply (-4 + i) by the minus sign before it.
we have +4 - i as the result.
we are left now with:
9+3i+4-i.
STEP 2: grouping those with same values,
9+4+3i-i= 13+2i
Use technology to find the line of best fit for the following data.
(−7,1), (2,9), (0,7), (−3,5), (−8,−2), (−1,2), (−6,−1), (−5,0), (0,5), (1,7), (−4,2), (3,7)
When the equation of the line is in the form y=mx+b, what is the value of m?
Enter your answer as a decimal rounded to the nearest tenths place, like this: 42.5
Answer:
m=0.9
Step-by-step explanation:
Carlos needs to paint the outside of the shed in his backyard, including its roof but not including its floor.
A rectangular prism with a length of 8 feet, width of 5 feet, and height of 6 feet.
What is the total area of the surfaces that he needs to paint?
214 feet squared
230 feet squared
300 feet squared
350 feet squared
PLEASE HELP ME, ILL GIVE BRAINLIEST AND 70 POINTS
Answer:
√65 feet
Step-by-step explanation:
Using the pathagoryoes theroem (the equation in your picture) we have
4²+7²=c²
simplify to
16+49=c²
65=c²
√65=c
Pls help I’ll give brainliest if you show ur work
Answer:
DB = 20 cm
Step-by-step explanation:
Given:
║AB = 12 cm (represented by 'a' leg)
║AD = 16 cm (represented by 'b' leg)
║DB = x cm (hypotenuse represented by 'c' leg)
These formulas are used to solve for a missing side length:
║a = [tex]\sqrt{(c^2 - b^2)}[/tex]
║b = [tex]\sqrt{(c^2 - a^2)}[/tex]
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
Because we are solving for side length c, we will be using the third formula.
║c = [tex]\sqrt{(a^2 + b^2)}[/tex]
║c = [tex]\sqrt{(12^2 + 16^2)}[/tex]
║c = [tex]\sqrt{(144 + 256)}[/tex]
║c = [tex]\sqrt{400}[/tex]
║c = 20
Therefore, the value for side length DB should be:
║DB = 20 cm
PLEASE HELP THIS IS OVERDUE!!
Answer:
It is y=2x+4.
Step-by-step explanation:
Alright, so with this question, the slope and y-intercept is needed. First, lets get the y-intercept.
The y-intercept value would be 4 as this is the y value for where the line crosses over this intercept, being the coordinate (0,4).
Next, with the slope, look at where the line crosses over when the x value is 1, the y value is 6, (1, 6).
From this, we can find the slope. What is the climb/fall in the line after moving forward an x value forward? It is going up 2 y values, from 4 to 6. Therefore, the slope is 2.
With this, we can plug in the parts we need to get the final answer:
y = (2 Slope) x + (4 Y-Intercept)
y=2x+4
Answer:
[tex]y=2x+4[/tex]
Step-by-step explanation:
Written in the form [tex]y=mx+c[/tex]
The constant c is where the line intercepts the y-axis.
From the graph we can determine that c is equal to 4.
m is the slope of the line. To find it we can do [tex]\frac{dy}{dx}[/tex] where dy is the difference in y-coordinates between two points and dx is the difference between the x-coordinates.
From the graph we can pick out 2 points that lie on the line:
Point 1 (0,4)
Point 2 (1,6)
So the slope is [tex]\frac{4-6}{0-1} =\frac{-2}{-1}=2[/tex]
Now let's rewrite it in the form [tex]y=mx+c[/tex].
[tex]y=2x+4[/tex]
What is the area of the rhombus?
(3,7)
(-2,-1)
(8, -1)
(3,-9)
Step-by-step explanation:
gxh hug and yu I will be blast and IWhich net represents this rectangular prism?
Answer:
The top right net would
Hope this helps!
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
The net in option A represents the rectangular prism.
Option A is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The rectangular prism has 6 faces.
The net in option A represents the rectangular prism.
Thus,
The net in option A represents the rectangular prism.
Option A is the correct answer.
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answer this if you know no links or ill report
5√5+6×∛5∞±√5
Answer:
52
Step-by-step explanation:
Answer:
idrk i'm just going to take ur points because my other account got banned for 24 hrs like bru.h ig :/
Step-by-step explanation:
A triangular piece of wood is being installed on a front porch. The piece of wood is shown below. Find its area. Round to the nearest tenths place.
Answer:
102.9
Step-by-step explanation:
Area of a triangle is A=(1/2)(h)(b) where h is the height and b is the base.
7.35 is the height and 28 is the base
A=(1/2)(7.35)(28)
A=102.9
Can this be done within the hour plz. Ty.
i need help with geometry
9514 1404 393
Answer:
C. 26
Step-by-step explanation:
The two marked angles are "vertical angles." They are congruent.
x +20 = 3x +8 . . . . . congruent angles have the same measure
12 = 2x . . . . . . . . . subtract x+8 from both sides
6 = x . . . . . . . . . divide by 2
∠PTQ = (x+20)° = (6+20)° = 26°
Answer:
Solutions given:
we have
<RTS=PTQ[vertically opposite angle are equal]
so
3x+8=x+20°
3x-x=20-8
2x=12
x=12/2=6
x=6
m<PTQ=6+20=26°
option c.26.
I know this may seem annoying, but how did you get 13/3 and 4/4 from 3 1/4 and 3/4?
"A processing machine crushes 3 1/4 kilograms of dried fruits in 3/4 minutes.
What is the rate, in kilograms per minute, at which the machine crushes dried fruits?"
All you're doing here is finding the unit rate at which the machines crushes the fruit. This boils down to dividing the amount it can crush (3 + 1/4 kg) by the time it takes to do the crushing (3/4 min):
(3 + 1/4 kg) / (3/4 min)
We can omit the units, just remember everything is measured in kilograms per minute. So we want to simplify the expression,
(3 + 1/4) / (3/4)
Write the numerator as an improper fraction:
3 + 1/4 = 12/4 + 1/4 = 13/4
(since 12 = 3*4)
Then
(3 + 1/4) / (3/4) = (13/4) / (3/4)
Multiply this by 1 = 4/4. In other words, multiply both the numerator and denominator by 4. This eliminates the fractions in either part, and you get the answer:
(13/4) / (3/4) * 4/4 = (13/4 * 4) / (3/4 * 4) = 13/3
So in one minute, the machine can crush 13/3 kg ≈ 4.333 kg of dried fruit.
A can of tomato sauce has a volume of 903 cm3 and a height of 11.5 cm. What is the diameter of the can? Group of answer choices 7 cm 5 cm 2.5 cm 10 cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
Find the amount of time.
I=$10, P=$100, r=2%
The area of the base of a rectangular prism is 40 squared inches. If the length of the prism is 4 inches, and the height of the prism is 5 inches, what is the total surface area of the rectangular prism
Answer:
220
Step-by-step explanation: