Answer:
556$
Step-by-step explanation:
$6 x 112 = 672$
1228-672 = 556
According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. (Round your answers to 4 decimal places where possible) Compute the probability that a randomly selected peanut M&M is not orange.
Answer:
0.77 or 77%
Step-by-step explanation:
Given:
Percentage of brown peanuts = 12%
Percentage of yellow peanuts = 15%
Percentage of red peanuts = 12%
Percentage of blue peanuts = 23%
Percentage of orange peanuts = 23%
Percentage of green peanuts = 15%
Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1
Probability that a randomly selected peanut M&M is not orange:
P(orange)' = 1 - P(orange)
Where,
P(orange) = 23% = 0.23
Thus,
P(orange)' = 1 - 0.23
P(orange) ' = 0.77
Probability that a randomly selected peanut is not orange = 0.77
the mean weight of an adult is 66 kilograms with a variance of 144 . if 123 adults are randomly selected, what is the probability that the sample mean would be greater than 66.7 kilograms? round your answer to four decimal places.
Answer:
The mean weight of an adult is 66 kilograms with a variance of 144. If 123 adults are randomly selected, the sample mean would follow a normal distribution with a mean of 66 kilograms and a standard deviation of sqrt(144/123) = 3/sqrt(123) kilograms.
We can standardize the sample mean to find the probability that it would be greater than 66.7 kilograms. The standardized value for 66.7 is (66.7 - 66) / (3/sqrt(123)) = 2.3094.
Using a standard normal distribution table, we find that the probability of a standard normal variable being greater than 2.3094 is approximately 0.0104.
Therefore, the probability that the sample mean would be greater than 66.7 kilograms is approximately 0.0104, rounded to four decimal places.
Step-by-step explanation:
HELP ME PLS
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
A) the slope of the line AB
B) The length of the line AB
Answer:
Slope = 27/11AB = 29.15 uStep-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points \(( x_1,y_1)\) and \(( x_2,y_2)\)as ,
\(\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}\)
Plug in the respective values ,\(\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}\)
Hence the slope of the line is 27/11 .
\(\rule{200}2\)
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .\(\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }\)
Hence the length of AB is 29.15 units .
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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log₁₁(2x-1)=1-log₁₁ (x+4)
Find the value of x showing detailed reasoning.
3/2 and -5 is the measure of x from the logarithmic equation
Solving logarithmic equationGiven the logarithmic equation
log₁₁(2x-1)=1-log₁₁ (x+4)
Since log₁₁11 = 1, the equation will become
log₁₁(2x-1) = log₁₁11 -log₁₁ (x+4)
log₁₁(2x-1) = log₁₁11/x+4
Cancelling log₁₁ on both sides
2x - 1 = 11/x + 4
2x - 1(x+4) = 11
2x²+8x-x-4 = 11
2x² + 7x - 15 =0
Factorize the result to have:
2x² + 7x - 15 =0
2x² + 10x - 3x - 15 = 0
2x(x+5) - 3(x+5) = 0
2x - 3 = 0 and x + 5 = 0
x = 3/2 and -5
Hence the measure of the value of x from the equation is 3/2 and -5
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What formula do you use when you are missing a length of a right triangle?
Answer:
Pythagorean Theorum
Step-by-step explanation:
a^2*b^2= c^2
The parent graph (x) = y' wastransformed to form the graph ofb(x) = 6x. Which describes thetransformation?
correct answer is option C, i.e. vertical shrink by a factor of 1/6.
Given:
Two graphs are given, one is of f(x) = x^4 and other is of b(x)=6x^4.
Find:
we have to find the correct option.
Explanation:
when we transformed the graph
Jesse recorded the temperatures at which two oils freeze: Oil Temperature Sesame oil −6.2 °C Peanut oil 3.1 °C Which statement about the temperatures at which these oils freeze is true? Sesame oil freezes at a higher temperature than peanut oil because −6.2 °C < 3.1 °C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C. Sesame oil freezes at a higher temperature than peanut oil because −6.2 °C > 3.1 °C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C > 3.1 °C. plzzz answer this for me ^w^
Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C
Step-by-step explanation:
Given that:
Freezing point of sesame oil = - 6.2°C
Freezing point of peanut oil = 3.1°C
Comparing the two temperatures :
Freezing(when a substance turns to solid) usually occurs at low temperatures. The temperature of sesame oil(-6 2°C) is lower than that of peanut oil(3.1°C).
Hence, it can be concluded that Sesame oil freezes at lower temperature than peanut oil.
Mathematically,
-6.2°C < 3.1°C
Answer:
Answer: C. Sesame oil freezes at a lower temperature than peanut oil because −6.2 °C < 3.1 °C
Step-by-step explanation:
find the arc length of a sector with a radius of 4 feet and a central angle of 6°
Answer:
24 ft.
Step-by-step explanation:
Radius = 4 ft
Central angle = 6°
Arc length = radius × central angle
= 4 × 6°
= 24 ft.
1-Find centroid of the channel section with respect to x - and y-axis ( h=15 in, b= see above, t=2 in):
The given channel section is shown in the image below: \(\frac{b}{2}\) = 9 in\(\frac{h}{2}\) = 7.5 in. The centroid of the section is obtained by considering small rectangular strips of width dx and height y (measured from the x-axis) as shown below:
\(\delta y\) = y \(\delta x\).
Since the centroid lies on the y-axis of the section, the x-coordinate of the centroid is zero. To find the y-coordinate, we can write the moment of the differential strip about the x-axis as shown below:
dM = \(\frac{t}{2}(b-dx)y\) dx where, dx is a small width of the differential strip.
Thus, the moment of the entire section about the x-axis is given by:
Mx = ∫dM = ∫\(\frac{t}{2}(b-dx)y\) dx \(^{b/2}_{-b/2}\)= \(\frac{t}{2}\)y[bx - \(\frac{x^2}{2}\)] \(^{b/2}_{-b/2}\)= \(\frac{tb}{2}\)y.
Thus, the y-coordinate of the centroid is given by:
yc = \(\frac{Mx}{A}\).
where A is the area of the section. Thus,
yc = \(\frac{\frac{tb}{2}y}{bt}\) \(\int\int\int_{section}\) dA= \(\frac{1}{2}\)yyc = \(\frac{1}{2}\) \(\int\int\int_{section}\) y dA= \(\frac{1}{2}\) [(2t)(h)(\(\frac{b}{2}\))] \(-\) [(2t)(0)(\(\frac{b}{2}\))]= \(\frac{bht}{2}\) / (bt) = \(\frac{h}{2}\) = 7.5 in.
Thus, the centroid of the section with respect to x and y-axis is at (0, 7.5) which is at a distance of 7.5 inches from the x-axis.
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The volume of the oblique prism is __ mm3. Assume the bases are a rectangular. Hint: Use Cavalieri’s Principle.
a survey showed that 4 out of 5 students own a bicycle based on this result how many 800 students in a school own a bicycle
Choose the graph for the inequality.
-2x - y > 1
Answer:
Here Is the Graph
Step-by-step explanation:
I will always suggest using Desmos Graphing Calculator
The graph of the inequality is attached.
What is an inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality'.
Given that the graph for the inequality,
-2x - y > 1
The graph is attached in answer.
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11. Suppose that the volume of four stars in the Milky Way are: 1.3 × 1024 km3, 6.9 x
1015 km3, 3.4 x 1015 km3, and 2.7 x 1024 km3. What is the order of the stars from least to greatest volume? (Im giving 30 points so pls show work)
Damian estimated that Lily would play puzzles
for 20 minutes, but she actually played for 38
minutes.
What was his percent error?
Damian's percent error for the estimate of the time that Lily would play is of 47.37%.
How to obtain the percent error?The percent error is obtained applying the proportions in the context of the problem.
A proportion is applied as the percent error is given by the difference between the estimate and the actual value, divided by the actual value, and multiplied by 100%.
The parameters for this problem are given as follows:
Estimate of 20 minutes.Actual value of 38 minutes.Hence the percent error is given as follows:
P = (38 - 20)/38 x 100%
P = 47.37%.
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Joan bought 2 cases of golf balls. Each case holds 12 boxes of 12 golf balls each. A different manufacturer of golf balls sells them
in packages of 18 golf balls. How many packages would Joan need to buy to have the same amount of golf balls?
(Ctrl)
Answer:
I believe the correct answer would be 16.
Step-by-step explanation:
There are 2 cases of golf balls that hold 12 boxes of 12 balls.
12(12) + 12(12) = 288
You need to find how many cases Joan can buy to equal the amount of 288 balls.
18(x) = 288
I simply divided 288 by 18 to get the answer of 16.
x = 16
The number of packages should need to buy is 16.
The calculation is as follows:There are 2 cases of golf balls that hold 12 boxes of 12 balls.
12(12) + 12(12) = 288
Now
18(x) = 288
x = 16
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PLEASE HELP!! I WILL MARK BRAINLIEST TO WHOEVER ANSWERS CORRECTLY AND TELLS ME HOW THEY FIGURED IT OUT! Describe the location of the point having the following coordinates.
negative abscissa, positive ordinate
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
quadrant IV
Step-by-step explanation:
beacause 3 is all negative and 4 in mixed
Answer:
The location of the point is between Quadrant II and Quadrant III
Step-by-step explanation:
The equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop. determine the constant of proportionality. one-sixth 1 6 12
The constant of proportionality will be 6.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have a equation c = 6m represents how many ice cream cones (c) are sold within a certain number of minutes (m) at a certain ice cream shop
We can use the equation of a straight line to represent direct proportionality as -
y = mx + c
for -
c = 0
y = mx
m = y/x
Where [m] as constant of proportionality.
For -
c = 6m
constant of proportionality will be 6.
Therefore, the constant of proportionality will be 6.
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Answer:
YEs tis i, the simplifier
Step-by-step explanation:
its 6
Terms nd coefficients and constants of 6+n2 + 1/2d
which one of the following is a polynomial with real coefficients that has 2 and. 2-i as zeroes
Answer:
ummmmmmmm
Step-by-step explanation:
PLEASE ANSWER 1 - 3 PLEASE!!! ITS DUE AT 2:30!!!!!!
Answer:
10x+5=y.
(SO, someone deleted my answer earlier)
calculate the values of the expression below 5 - 2 * 3 + 6 (3^2+1)
Answer:
= 59
Step-by-step explanation:
5 - 2 * 3 + 6 (3² + 1)
= 5 - 2 * 3 + 6 * 10
= 5 - 6 + 6 * 10
= 5 - 6 + 60
= 59
Answer:
59Step-by-step explanation:
\(5-2\times \:3+6\left(3^2+1\right)\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(3^2+1\right)\::\quad 10\\\\=5-2\times \:3+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\times \:3\::\quad 6\\=5-6+6\times \:10\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:6\times \:10\::\quad 60\\\\=5-6+60\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:5-6+60\:\\\\:\quad 59\)
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match. Which of these represents the money left in his wallet? in rupees
a)1600-x.
(b)2000-x
(c) x-1600
(d)x-2000
pls answer asap!!!
Answer:
Hi, the answer is a.
Step-by-step explanation:
1. 1800-200=1600
2. As 1800 is total x will be smaller amount. so....
3. when we write a subtraction statement bigger number - smaller number..
4. So answer will be 1600-x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
Naren had Rs. 1800 in his wallet. He spent Rs. x on a watch and 200 to watch a cricket match.
Then the expression is given as,
⇒ 1800 - x - 200
Simplify the expression, then we have
⇒ 1800 - x - 200
⇒ 1600 - x
The expression that represents the money left in his wallet in rupees will be 1600 - x. Then the correct option is A.
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A fair coin is tossed 800 times. Let the random variable X denote the number of tails that appear. a. Use the fact that X is binomial to find P(X > 350). (Hint: Use GeoGebra or other technology to do the calculation.)
Using the fact that X is binomial with n = 800 and p = 0.5, we can find P(X > 350) by calculating 1 - P(X ≤ 350). This calculation can be done using the binomial probability formula, but it can also be done more easily using technology like GeoGebra. The result we get from GeoGebra is P(X > 350) ≈ 0.0003.
A fair coin is tossed 800 times, so X, the random variable representing the number of tails that appear, follows a binomial distribution with n = 800 and p = 0.5 (since the coin is fair, the probability of getting tails is 0.5).
To find P(X > 350), we can use the binomial probability formula:
P(X > 350) = 1 - P(X ≤ 350)
= 1 - ∑(k=0 to 350) [(800 choose k) * 0.5^800]
This calculation can be quite tedious to do by hand, but we can use technology like GeoGebra to help us with the calculation. Using GeoGebra, we can input the binomial distribution function with n = 800 and p = 0.5, and then use the cumulative probability feature to find P(X ≤ 350). Then, we can subtract this value from 1 to find P(X > 350).
The result from GeoGebra is P(X > 350) ≈ 0.0003.
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Solve for x. Round to the nearest thousandth (0.001) if necessary.
11^x = 22
Answer:
x = 1.289
Step-by-step explanation:
11^x = 22
Take the log of both sides
xlog11 = log22
Divide both sides by log11
x = log22 / log11
Use calculator
x = 1.289
help please i need it
Answer:
since a || b
<A = <ABb = 60°
in a triangle the sum of all angles is 180°
so,
30 + 60 + x = 180
x= 180-90
x= 90
i need help plsss ;(((
Answer:
Look below
Step-by-step explanation:
1) x = 14, because 14 * 14 = 196
2) x = 3 / 16, because ( 3 / 16 ) * ( 3 / 16 ) = 9 / 256
3) x = 8, because 8 * 8 * 8 = 512
4) x = 4 / 7, because ( 4 / 7 ) * ( 4 / 7 ) * ( 4 / 7 ) = 64 / 343
Solve the equation 3x-7=x+23
Answer:
x = 15
Step-by-step explanation:
3x-7=x+23
Subtract x from each side
3x-x-7=x-x+23
2x -7 = 23
Add 7 to each side
2x-7+7 = 23+7
2x = 30
Divide by 2
2x/2 = 30/2
x = 15
Answer:
x=15
Step-by-step explanation:
3x-x=23+7
2x=30 divide by 2
x=15
find the hypotenuse: c =
y = -x + 6
what’s the solution?
Answer:
Assuming you are solving for x:
x = 6 - y
Step-by-step explanation:
y = -x + 6
y + x = 6
x = 6 - y