the mean is 100. One individual score is at the 20th percentile and has a raw score of 85. What is the standard deviation
Answers
Answer:
Look at it this way. About two-thirds of the populace are thought to possess IQs between 85 and 115, which is to say, more or less average. That leaves about one sixth of the populace significantly below average and one sixth significantly above average.
Why such a large range for average — there’s a 30-point gap between 85 and 115? That’s because IQ tests measure only certain kinds of intelligence, and people who might be weak in some areas might be strong in other areas. Consider the difference between being book-smart and being street-smart. A person who is book-smart would be expected to score well on an IQ test but might not fare so well in a dangerous neighborhood after dark. A person who is street-smart would know better than to visit that neighborhood after dark but might not score so well on an IQ test.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To calculate the value of the standard deviation in this equation, we must use Z-scores, therefore we are assuming that the distribution is regular.
At the twentieth percentile of a regular distribution, the z-score is -2.88. Using this information we can reverse-engineer the z-score calculation equation, \(z=\frac{n - x'}{s_{x} }\). x' being the mean of 100, n being the value of 85, z being the z score of -2.88 and s base x being the standard deviation.
\(-2.88=\frac{85-100}{s_{x}}\).
The standard deviation is equivalent to 5.2083
Related Questions
PLEASE HELPPP!!!
Which statement translates the equation?
8n + 15 = 3n + 60
A) Jessy and Paul all together have 8n + 3n cookies, Jessy has 15 cookies and Paul has 60 cookies. How many cookies does Jessy have?
B) Jessy and Paul all together have 15 + 60 cookies, Jessy has 8n cookies and Paul has 3n cookies. How many cookies does Jessy have?
C) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n cookies and Paul has 15 cookies. How many cookies does Jessy have?
D) Jessy and Paul all together have 3n + 60 cookies, Jessy has 8n plus 15 cookies more than and Paul. How many cookies does Jessy have?
Answers
Answer:
its c
Step-by-step explanation:
A self-serve frozen yogurt store made these graphs to study the data collected about its customers' purchases. Which statement is true?
A circle graph is divided into 5 unequal parts. From largest to smallest, the parts are: Chocolate, 38 percent. Strawberry, 30 percent. Vanilla, 22 percent. Other, 10 percent. A line graph is entitled Yogurt Sales in 2011. It shows Month and Units Sold. January, 1000. February, just below 1000. March, between 1000 and 2000. April, just above 3000. May, between 4000 and 5000. June, 5000. July, between 5000 and 6000. August, 6000. September, just below 6000. October, 5000. November, 3000. December, just above 1000. A stem and leaf plot is entitled Ounces Sold Last Friday. It shows two leaves labeled, Leaf (3 to 4 p.m.) and Leaf (7 to 8 p.m.). Leaf (3 to 4 p.m.): Stem, 0; leaf, 6, 6, 8, 8, 8, 9, 9. Stem, 1; leaf, 0, 0, 1, 2, 5. Stem, 2; leaf, 3. Stem, 3; leaf, blank. Leaf (7 to 8 p.m.): Stem, 0; leaf, 7, 8. Stem, 1; leaf, 2, 2, 4, 6, 6, 6, 8. Stem, 2; leaf, 0, 0, 0, 5. Stem, 3; leaf, 2.
Answers
The statement that is true about the self-serve frozen yogurt store is;
Option C: The yogurt sales had a decreasing trend in the last four months of 2011
How to Interpret graph data?
From the attached file, we see a pie chart, a graph and a table.
Now, let us access the given options;
a) The percentage that prefer chocolate = 38%
Percentage that prefer vanilla and strawberry combined = 22% + 30% = 52%.
Thus, the given statement is wrong
b) From the graph curve, we see that;
Number of units sold in November = 3000 units
Number of units sold in August = 6000 units
Difference is 3000 units and not 4000 units and so the statement is wrong.
c) We see that for the last four months the curve showed a decreasing slope which means a decreasing trend of units sold.
d) This is not correct because the median number of ounces sold from 3 to 4pm was not more than the median number of ounces sold from 7 to 8pm on the stem leaf plot.
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What’s the answer please
Answers
Answer:
40
Step-by-step explanation:
plugging in a and b will get us:
\(2^{2} + 6^{2} = c^{2}\)
4 + 36 = \(c^{2}\)
40 = \(c^{2}\)
c= \(\sqrt{40\\\)
Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answers
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
Aziraphale bought books to be shipped to his library, in case they got out of stock. He bought 36 books, each having a total of $10 dollars. The company that supplies him books gave Aziraphale a buy 6, get 60% off sale. How much money did he spend?
Answers
Answer:
216
Step-by-step explanation:
36 times 10 = 360
360 times 0.60 = 216
Solve the following compound inequality.
x+8≥9 andand 2x−6≥8
The solution set in interval notation
Answers
The solution set in interval notation [7, ∝)
How to solve the compound inequality?The compound inequality is given as:
x+8 ≥ 9 and 2x − 6 ≥ 8
Take the like terms
x ≥ 9 - 8 and 2x ≥ 8 + 6
Evaluate the like terms
x ≥ 1 and 2x ≥ 14
Divide by 2
x ≥ 1 and x ≥ 7
The solution set of x ≥ 7 is greater than x ≥ 1
So, we have
x ≥ 7
In interval notation, it is [7, ∝)
Hence, the solution set in interval notation [7, ∝)
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in 15 years Pam hope to have $30,000to make a down payment on a house. how much would she need to invest right now in a mutual fund that earns 8% annual interest in order to have enough for her down payment in 15 years
Answers
Answer:
She needs to invest $13,636.36 right now
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
\(E = P*I*t\)
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
\(T = E + P\)
In this question:
In 15 years, so \(t = 15\)
She wants to have $30,000, so \(T = 30000\)
8% interest, so \(I = 0.08\)
We have to find P.
\(T = E + P\)
\(30000 = E + P\)
\(E = 30000 - P\)
Replacing:
\(E = P*I*t\)
\(30000 - P = P*0.08*15\)
\(30000 - P = 1.2P\)
\(2.2P = 30000\)
\(P = \frac{30000}{2.2}\)
\(P = 13636.36\)
She needs to invest $13,636.36 right now
Turner’s backyard deck cost $38.31 per square meter to build. The deck is 9 meters wide and 11 meters long. How much did it cost to build the deck?
Answers
Answer:
$3792.69
Step-by-step explanation:
First, we would find the area,
Area = width x length
Area = 9 x 11
Area = 99\(m^{2}\)
Since each square meter costs $38.31, we would multiply the cost with the area,
Total Cost = 99 x 38.31
Total Cost = $3792.69
(Anyone can correct me if I'm wrong)
PLS HELP ASAP BRAINLIEST IF RIGHT AND 100 POINTS PLSSS
Train A is traveling north at a steady speed of 70 miles per hour. After 2
hours, it is 150 miles north of Hillsboro.
Train B is traveling north on a parallel track. Its distance north of Hillsboro is
represented by the graph.
Answers
Answer:
its d
Step-by-step explanation:
Place the numbers 2,4,6,8,10,12, 14, 16,18 in the squares below so that the sum of the numbers in every column, row, and diagonals is equal to 30.
Answers
The way the numbers will be placed in the square box will be:
First row = 4 12 14
Second row = 2 10 18
Third row = 6 8 16
How to illustrate the information?It should be noted that the question is simply about adding the numbers and getting 39 in each place.
This will be:
First row = 4 12 14 = 4 + 12 + 14 = 30
Second row = 2 10 18 = 2 + 10 + 18 = 30
Third row = 6 8 16 = 6 + 8 + 16 = 30
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Please help i will give you brainliest! Picture attached
Answers
Answer:
5+(n-1)0.5
Step-by-step explanation:
How to write a linear function with the values f(3)=-4 f(5)=-4
Answers
ANSWER:
\(f(x)=-4\)STEP-BY-STEP EXPLANATION:
We have that a linear function in its slope and intercepot form is the following:
\(\begin{gathered} f(x)=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}\)We calculate the slope as follows:
\(m=\frac{f(x_2)-f(x_1)_{}}{x_2-x_1}\)The points to use would be (3, -4) and (5, -4)
\(m=\frac{-4-(-4)}{5-3}=\frac{-4+4}{2}=\frac{0}{2}=0\)We can see that the slope is 0, which means the function would be:
\(f(x)=-4\)(12²-15+17)+16= what is the answer
Answers
162
Step-by-step explanation:
(12 square - 15 + 17) + 16
=(144 - 15 + 17) + 16
=146 + 16
=162
Graph the circle (x - 3)^2 + (y + 3)^2= 36.
Answers
The circle on a graph by drawing the center point and then drawing a circle around it with a radius of 6.
To graph the circle with the equation (x - 3)² + (y + 3)² = 36, we can start by finding the center and radius of the circle.
The equation of a circle in standard form is (x - h)² + (y - k)² = r² (h, k) represents the center of the circle and r represents the radius.
Comparing the given equation with the standard form, we can see that the center of the circle is (3, -3) and the radius is √36 = 6.
Using this information, we can proceed to plot the circle on a graph:
Plot the center point: (3, -3).
From the center point, move 6 units in each direction (up, down, left, and right) to determine the points on the circle.
Up: (3, -3 + 6) = (3, 3)
Down: (3, -3 - 6) = (3, -9)
Left: (3 - 6, -3) = (-3, -3)
Right: (3 + 6, -3) = (9, -3)
Connect the plotted points to form a circle.
The resulting graph should look like this:
| • (3, 3)
|
| •
| •
__|_____________________________
|
|
|
|
| • (3, -3)
The center of the circle is denoted by a solid dot (•) in the graph and the other points lie on the circumference of the circle.
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A sea lion was swimming at 2 feet below sea level. The number line shows
the location of the sea lion. It then swam down 8 feet. Describe how to use
the number line to find the new location of the sea lion.
109 8-7 654 3 -2-1 0 1 2 345 6789 10
OA. On the number line, move 8 units to the right. End at 10. The sea
lion was 10 feet above sea level.
OB. On the number line, move 8 units to the left. End at -6. The sea
lion was 6 feet below sea level.
O C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
OD. On the number line, move 8 units to the right. End at 6. The sea
lion was6 feet above sea level.
EPREVIOUS
Answers
Answer:
C. On the number line, move 8 units to the left. End at -10. The sea
lion was 10 feet below sea level.
Step-by-step explanation:
hope I helped
Use the drop-down menus to complete each equation so the statement about its solution is true PLS ANSWER NOW
Answers
Answer:
4x + 4
Step-by-step explanation:
Not sure if I understand the question but I think that's what the answer is for all 3 drop downs. :)
Find the slope of the line above
Answers
Answer:
3/5
Step-by-step explanation:
Pick two points that are easy to read. pints that are easy to read are on the intersection of grid lines.
For example, pick (-2, 0) and (3, 3).
slope = rise/run
Rise is a vertical distance.
Run is a horizontal distance.
Start at (-2, 0). To go to (3, 3) by using only horizontal and vertical segments, go up 3 unit. Now go right 5 units.
The rise is 3. The runs is 5.
slope = rise/run = 3/5
Answer: 3/5
Solve the following system of equations a2+b2 ; 3a2 -2ab-b2
Answers
The system has an infinite number of solutions, but the only solution is (a, b) = (0, 0).
The given system of equations can be solved using the substitution method. We can begin by solving the first equation,\(a^2 + b^2\), for either a or b. Let's solve for a:
\(a^2 + b^2 = 0\)
\(a^2 + b^2 = 0\)
\(a^2 = -b^2\)
\(a = \pm\sqrt(-b^2)\)
We can substitute this expression for a into the second equation, \(3a^2 - 2ab - b^2 = 0\), and simplify:
\(3(\pm\sqrt(-b^2))^2 - 2(\pm\sqrt(-b^2))b - b^2 = 0\)
\(3b^2 - 2b^2 - b^2 = 0\)
0 = 0
Since 0 = 0, this means that the system of equations has an infinite number of solutions. In other words, any values of a and b that satisfy the equation \(a^2 + b^2 = 0\) will also satisfy the equation \(3a^2 - 2ab - b^2 = 0\)
However, the equation \(a^2 + b^2 = 0\) only has a single solution, which is a = b = 0. Therefore, the solution to the system of equations is (a, b) = (0, 0).
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boxes of raisins are labled as containing 22 ounces. Following are the weights, in the ounces, of a sample of 12 boxes. It is reasonable to assume that the population is approximatly normal.
21.88 21.76 22.14 21.63 21.81 22.12 21.97 21.57 21.75 21.96 22.20 21.80
Required:
Construct a 99% confidence interval for the mean weight.
Answers
Answer:
The 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)
Step-by-step explanation:
Mean = Sum of observations / Number of observations
Mean = 21.88 +21.76 +22.14 +21.63+ 21.81 +22.12+ 21.97+ 21.57+ 21.75+ 21.96 +22.20 +21.80/ 12
Mean =x`= 262.59/12= 21.8825
Standard Deviation = s= ∑x²/n - ( ∑x/n)²
∑x²/n= 478.7344 +473.4976 + 490.1796+467.8569+ 475.6761 + 489.2944+ 482.6809+ 465.2649+ 473.0625+ 482.2416 +492.84 + 475.24/ 12
∑x²/n= 5746.5689/12= 478.8807 = 478.881
Standard Deviation = s= ∑x²/n - ( ∑x/n)²
s= 478.881- (21.8825)²= 478.881-478.843= 0.037
The confidence limit 99% for the mean will be determined by
x` ± α(100-1) √s/n
Putting the values in the above equation
= 21.8825 ± 2.58 √0.037/12
Solving the square root
= 21.8825 ± 2.58 (0.05549)
Multiplying the square root with 2.58
=21.8825 ± 0.1432
Adding and subtracting would give
21.7393 ; 22.0257,
Hence the 99 % confidence interval on the basis of mean is ( 21.7393 ; 22.0257)
Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams. Which equation could she use to determine how many marbles are in the bag? Select all that apply. (1.5)x + 1.5 = 30 30 – x = 2(1.5) (1.5)(30) = 1.5x 1.5 + x = 30 1.5x = 30 – 1.5
Answers
Answer:
1.5x = 30 - 1.5
Step-by-step explanation:
30 grams minus the weight of the bag 1.5
1.5x x is the number of marbles and the bag so take 1 out and you have an answer which is 28.5 19 marbles
After constructing a confidence interval estimate for a population mean, you believe that the is useless because it is too In order to correct this problem, you need to: interval population standard deviation. wide. A. Increase the B. Increase the sample size. C. Increase the level of conf D. Increase the sample mean.
Answers
D its all about the process of elimination you just got to un connect the
if f(x,y,z) is a vector field and f(x,y,z) is a scalar function, which of the following are not defined?
Answers
If f(x,y,z) is a vector field rather than a scalar function. A vector-valued function is one that has a vector value and a calculable curl. Therefore, if we calculate this value, it will once more be a vector-valued function. The right response in this case is option B.
The following considerations must be made in order to answer this question: It is specified that the divergence of a vector field is a scalar-valued function.
A vector field's specified and actual curl is a vector field. A scalar field's divergence/Curl is not specified. A scalar field's gradient is a vector field that has a definite definition. A vector field's gradient is not known.
Since F is a vector-valued function, we may discover its divergence, which will be a scalar-valued function, and since the gradient of the scalar-valued function will be a vector-valued function, this calculation is attempting to compute the gradient of the divergence of the vector field F.
Complete question:
Let f(x,y,z) be a scalar-valued function, and F(x,y,z) be a vector field. Is the following defined? If it is defined, is it a scalar-valued function or a vector field? (You are only allowed one attempt for each part of this problem.)
(a) V (Vn Defined- it is a scalar-valued function O Defined - it is a vector field O Not defined
(b) VV F) O Defined - it is a scalar-valued function Defined - it is a vector field O Not defined
(c) V (V F) Defined it is a scalar-valued function Defined - it is a vector field Not defined
(d) V (V x F) Defined it is a scalar-valued function Defined it is a vector field Not defined
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The graph of a quadratic function increases through interval A, then decreases through interval B. If the vertex of thegraph is located at (5,9), which equation could represent this function?Interval A: -00 <3 < 5Interval B:5 << OOSelect one:O a. f() = (x + 5)2 + 9O b. f(x) = (x – 5)2 +9O c. f() = -(x + 5)2 +9O d. f(x) = -(x - 5)2 +9
Answers
The quadratic function with vertex (h,k) is
\(y=(x-h)^2+k\)If the function is increases for interval,
\(-\inftyand decreases for interval\(hThen the function opens in downward side and quadratic equation becomes,\(y=-(x-h)^2+k\)So quadratic equation with vertex (5,9) and increasing for interval,
\(-\inftyand decrease through interval,\(5is,\(f(x)=-(x-5)^2+9\)Option D is correct.
Anybody know? What is the prime factorization of 54?
Answers
Answer:
your answer will be c
Step-by-step explanation:
54 2.3.3.3
hoep ur help
for csc 330:
a) state value of the ratio exactly
b) find one equivalent expression
c) draw a diagram to illustarte.
Answers
The value of the ratio based on the angle illustrated is 1:12.
How to illustrate the information?From the information given, it should be noted that the angle in a circle is 360°. Therefore, the value of theta will be:
= 360° - 330°
= 30°
The equivalent expression based on the angle will be:
= 30/360
= 1/12
= 1:12
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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, determine the interval that would represent the middle 95% of IQ scores.
Answers
Answer:
About 95% of individuals have IQ scores in the interval 100 ± 2 ( 15 ) = [ 70 , 130 ] .
Step-by-step explanation:
hope this helps
PLS HELP ASAP!!!
A triangle is shown in the image. A triangle with a height of 12 inches. The height is perpendicular to the base labeled 36 inches. The side from the top of the perpendicular side to the base is labeled 34 inches. What is the area of the triangle represented? 204 in2
216 in2
408 in2
432 in2
Answers
So the area of the triangle is 216 square inches.
How is area of a triangle determined?To find the area of a triangle, you can use the formula A = 1/2 * b * h, where A is the area, b is the length of the base, and h is the height of the triangle. In this case, we have a height of 12 inches and a base of 36 inches.
To find the length of the missing side of the triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. So, we have:
c² = a² + b²
c² = 12² + 34²
c² = 144 + 1156
c² = 1300
c = √(1300)
c = 36.06 (rounded to two decimal places)
Now that we know all three sides of the triangle, we can plug them into the formula for the area:
A = 1/2 * b * h
A = 1/2 * 36 * 12
A = 216
So the area of the triangle is 216 square inches.
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The line segment joining the points P(-3,2) and Q(5,7) is divided by the y-axis in the ratio:
Answers
Answer:
Step-by-step explanation:
The line segment joining two points P and Q can be represented by the equation of a straight line in the form y = mx + b, where m is the slope and b is the y-intercept.
To find the equation of the line, we need to find the slope, which can be calculated using the formula:
m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the points P and Q, respectively.
In this case, the coordinates are:
P = (-3, 2) and Q = (5, 7)
So, the slope is:
m = (7 - 2) / (5 - (-3)) = 5 / 8
Next, we can use either of the points to find the y-intercept. Let's use point P:
b = y - mx, where y and x are the y and x coordinate of the point, respectively.
In this case,
b = 2 - m * (-3) = 2 - (5/8) * (-3) = 2 + 15/8 = 89/8
So, the equation of the line joining the points P and Q is:
y = (5/8)x + 89/8
Now, to find the point where the line crosses the y-axis, we need to find the x-coordinate of the point where y = 0.
So, we have:
0 = (5/8)x + 89/8
Solving for x, we get:
x = -(89/8) / (5/8) = -89 / 5
This means that the line crosses the y-axis at the point (-89/5, 0). To find the ratio in which the line segment is divided by the y-axis, we need to find the ratio of the distance from the y-axis to point P to the distance from the y-axis to point Q.
Let's call the point of intersection with the y-axis R. The distances are then:
PR = (3, 2) and QR = (5 - (-89/5), 7)
The ratio of the distances is then:
PR / QR = (3, 2) / (5 - (-89/5), 7) = 3 / (5 + 89/5) = 3 / (94/5) = 15/47
So, the line segment joining the points P and Q is divided by the y-axis in the ratio 15:47.
a typical tip in a restaurant is 15% of the total bill. if the bull is $160, what would the typical tip be?
Answers
Answer:
$24
Step-by-step explanation:
Fist, you will multiply the percent, 15, and the total money amount, 160, which you would get 2,400. Then, divide 2,400 by 100, and there you will get the tip, $24. I hope this helps :)
Find the probability of randomly choosing three brown M&Ms in a row from a bag
that contains 40 brown M&Ms out of 350 M&Ms total. Note that as you choose
them, you immediately eat them.
Show all relevant work. To type a fraction, use the forward slash key on your
keyboard (7), i.e., "1/2". To type an exponent, use the caret (^), i.e., "2^5".
Answers
Answer:
The the probability of randomly choosing three brown M&Ms in a row and eat them immediately is 0.0014.
Step-by-step explanation:
Since we want to find the probability of randomly choosing three brown M&Ms in a row and they are eaten immediately after selecting them, this implies that we are dealing with a probability of without replacement.
Without replacement means the number of brown M&Ms and the total M&Ms decreases by one as we select one each in a row.
Therefore, we have:
Probability of selecting the first brown M&M without replacement = 40 / 350
Probability of selecting the second brown M&M without replacement = 39 / 349
Probability of selecting the third brown M&M without replacement = 38 / 348
Let B represents the the probability of randomly choosing three brown M&Ms in a row. Therefore, we have:
B = (40 / 350) * (39 / 349) * (38 / 348) = 0.114285714285714 * 0.111747851002865 * 0.109195402298851 = 0.00139455446243313
Approximating to 4 decimal places, we have:
B = 0.0014
Therefore, the the probability of randomly choosing three brown M&Ms in a row and eat them immediately is 0.0014.