A variety of two types of snack packs are delivered to a store. The box plots compare the number of calories in each snack pack of crackers to the number of calories in each snack pack of trail mix.
A number line goes from 65 to 115. Crackers's whiskers range from 70 to 100, and the box ranges from 75 to 85. A line divides the box at 80. Cookies's whiskers range from 70 to 115, and the box ranges from 90 to 105. A line divides the box at 100.
Which statement is true about the box plots?
The interquartile range of the trail mix data is greater than the range of the cracker data.
The value 70 is an outlier in the trail mix data.
The upper quartile of the trail mix data is equal to the maximum value of the cracker data.
The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
Answers
The statement that is true about the box plots is: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
What is a Measure of Variation?For a data distribution that is displayed by a box plot, the measure of variation that can be used to describe the data distribution is the interquartile range.
What is the Interquartile Range of a Data Distribution?Interquartile range, which is a measure of variation can be determined from a box plot by finding the value of the third quartile and first quartile, the finding their difference. The difference is the interquartile range.
Interquartile range = third quartile - first quartile.
Interquartile range for crackers = 85 - 75
Interquartile range for crackers = 10
Interquartile range for trail mix = 105 - 90
Interquartile range for trail mix = 15.
The bigger the value of the interquartile range, the more variation there is that exist in a data distribution.
Interquartile range for trial mix is the largest, therefore, the statement that is true about the box plots is: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.
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Related Questions
Identify sinJ as a fraction and as a decimal rounded to the nearest hundredth.
The figure shows right triangle J K L with right angle L. The length of leg L J is equal to 7 point 2 units. The length of leg K L is equal to 3 units. The length of hypotenuse J K is equal to 7 point 8 units.
Answers
In the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
In trigonometry, for a right triangle, the sine (sin) of any angle θ is given as the ratio of its opposite side to the hypotenuse of the triangle, that is, sin θ = (opposite side)/(hypotenuse).
In the question, we are asked to find the trigonometric ratio, sin J, for the given right triangle JKL.
The side opposite to angle J is KL, which has a value of 3 units.
The hypotenuse of the given right triangle is JK, which has a value of 7.8 units.
Thus, sin J can be calculated as:
sin J = KL/JK = 3/7.8 = 5/13 = 0.39.
Thus, in the given right triangle, the trigonometric ratio, sin J has a fractional value of 5/13 and a decimal value of 0.39.
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how do you solve this?
Answers
we are given x here, so we already know that our first coordinate is equal to -2.
in order to find the next coordinate, we have to substitute x for -2 in the y=mx+b equation.
the equation is
[tex]y = \frac{2}{3} x + 23[/tex]
so in substituting x for -2 we get
[tex]y = \frac{2}{3} ( - 2) + 23[/tex]
all we need to do is multiply ⅔ by -2, which gives us -1,3333.
we now have
[tex]y = - 1.3333 + 3[/tex]
so we add them together and get :
[tex]y = 1.666666[/tex]
hope this helps!!<3
URGENT!!! What happens to the graph of y=−x6−6x5+50x3+45x2−108x−108 as x heads toward ∞ and −∞?
A. as x→∞, y→−∞ as x→−∞, y→−∞
B. as x→∞, y→∞ as x→−∞, y→∞
C. as x→∞, y→∞ as x→−∞, y→−∞
D. as x→∞, y→−∞ as x→−∞, y→∞
Answers
Using limits, the correct option regarding the end behavior of the function is given by:
A. as x→∞, y→−∞ as x→−∞, y→−∞.
How to find the end behavior of a function f(x)?The end behavior is found calculating the limit of f(x) as x goes to infinity.
For this problem, the equation is given by:
[tex]f(x) = -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108[/tex]
Since x goes to infinity, we consider only the term with the highest exponent, hence the limits are given as follows:
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow -\infty} -x^6 = -(-\infty)^6 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -x^6 - 6x^5 + 50x^3 + 45x^2 - 108x - 108 = \lim_{x \rightarrow \infty} -x^6 = -(\infty)^6 = -\infty[/tex]
Hence the correct option is:
A. as x→∞, y→−∞ as x→−∞, y→−∞.
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Geometry: fill in the blanks (ASAP! It’s urgent)
Answers
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
GeometryFrom the question, we are to fill in the blanks
In ΔBCE, we have that ∠BCE is a right angle
Thus,
a. altitude = CE
Also, we have that
∠EBD ≅ ∠CBD
Thus, BD is a bisector
b. bisector = BD
The exterior angle of the triangle is ∠ABE
c. exterior angle = ∠ABE
From the given information,
BF ≅ EF
∴ F is the midpoint of BE
NOTE: Median is a line segment joining the vertex of one side of the triangle to the midpoint of its opposite side.
The median of the triangle is CF
d. median = CF
The remote interior angles of the triangle are ∠BCE and ∠CEB
e. remote interior angles = ∠BCE and ∠CEB
Hence,
a. altitude = CE
b. bisector = BD
c. exterior angle = ∠ABE
d. median = CF
e. remote interior angles = ∠BCE and ∠CEB
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math help please right now!!!!
Answers
Answer:
The second answer is correct.
Step-by-step explanation:
Find the limit. use l'hospital's rule if appropriate. if there is a more elementary method, consider using it. lim x→[infinity] (5x − ln(x))
Answers
The limit of lim x→[infinity] (5x − ln(x)) by using L'hospital rule is ∞.
According to the given question.
We have to find the limit of [tex]\lim_{x \to \infty} 5x - lnx[/tex]
As we know that L'hospital rule is a theorem which provides a technique to evaluate limits of indeterminate forms.
And the formual for L'hospital rule is
[tex]\lim_{x \to \ c} \frac{f_{x} }{g_{x} } = \lim_{x \to \ c} \frac{f^{'}( x)}{g^{'} (x)}[/tex]
[tex]\lim_{x \to \infty} 5x - lnx[/tex] can be written as
[tex]\lim_{x \to \infty} 5x - lnx\\= \lim_{x \to \infty} x(5 - \frac{lnx}{x})[/tex]
If we put the value of limit in lnx/x we get an indeterminate form ∞/∞.
Therefore, [tex]\lim_{x \to \infty} \frac{lnx}{x} = \frac{\frac{1}{x} }{1}[/tex]
[tex]\implies \lim_{x \to \infty} \frac{1}{x} = 0[/tex] (as x tends to infinity 1/x tends to 0)
So,
[tex]\lim_{x \to \infty} 5x - lnx\\= \lim_{x \to \infty} x(5 - \frac{lnx}{x})[/tex]
[tex]= \lim_{x \to \infty}x(5 -0)[/tex]
[tex]= \lim_{n \to \infty} 5x \\= \infty[/tex](as x tends to ∞ 5x also tends to infinity)
Therefore, the limit of lim x→[infinity] (5x − ln(x)) by using L'hospital rule is ∞.
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I need to find the Value of x
Answers
Answer:
x = 4
Step-by-step explanation:
These triangles are similar by the AA Similarity Postulate.
12 + 4 = 16
(5x - 2)/12 = 6x/16 (3x/8)
Cross multiply: 8(5x - 2) = 12(3x)
40x - 16 = 36x
4x - 16 = 0
4x = 16
x = 4
Which equation is represented by the graph below?
Answers
The equation of the graph, in slope-intercept form, is: C. y = 2/3x + 6.
How to Write a Linear Equation in Slope-Intercept Form?The linear equation of a graph in slope-intercept form is expressed as y = mx + b. Where the variable in the equation are as follows:
b = y-intercept (this is the point on the y-axis where the line intercepts).m = slope (this is the rise/run along the line = change in y / change in x).Considering the graph given, to write the linear equation it represents, find the slope (m) and the y-intercept (b) of the line.
Slope (m) = rise/run = 2 units/3 units
Slope (m) = 2/3.
The line intercepts the y-axis at y = 6, thus, the y-intercept (b) would be 6. b = 6.
Substitute m = 2/3 and b = 6 into the slope-intercept form equation, y = mx + b:
y = 2/3x + 6
Thus, the equation, in slope-intercept form, that represents the linear graph as shown in the image given is: C. y = 2/3x + 6.
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Mr. Ahmed has 31 students in his class. There are 14 boys and 17 girls.
The ratio
describes the part-to-whole relationship for boys.
The ratio
describes the part-to-whole relationship for girls.
Answers
We get, the ratio of the part-to-whole relationship for boys is 14/31.
And since there are 17 girls
We get, the ratio of the part-to-whole relationship for girls is 17/31.
Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
Answers
The rate of change in the plant's height in terms of inches per week will be 1 2/3 inches.
How to calculate the rate?Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.
The calculation for the rate of change is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.
The change in y (y being the height of the plant) over 4 weeks was 6 2/3 inches and there are four weeks. Therefore, the average height will be:
= 6 2/3 ÷ 4
= 1 2/3 inches
The average rate of change of the plant growth per week was 1 2/3 inches.
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Complete question:
Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of 6 2/3 inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.
a.+1 2/3B)-1 2/3C)+3/5D)-5/2
Consider the following set of equations:
Equation A: y = -x + 5
Equation B: y = 6x - 2
Which of the following is a step that can be used to find the solution to the set of equations?
O-x=6x + 2
O-x-2= 6x + 5
O-x+5= 6x-2
dations:
O-x+ 5 = 5x
Answers
The correct option is the thrid one, the first step is
-x+5= 6x-2
Which of the following is a step that can be used to find the solution to the set of equations?Here we have the system of equations:
y = -x + 5
y = 6x - 2
Now, the variable "y" should represent the same thing in both equations, then we can write:
-x + 5 = y = 6x - 2
If we remove the middle part, we get the equation that only depends on x:
-x + 5 = 6x - 2
This is the first step that we should use to solve the system of equations, which is the one in option 3.
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A point having a negative abscissa and negative ordinate is in quadrant ____.
Answers
Answer:
III
Step-by-step explanation:
This is a fact - A point having a negative abscissa and negative ordinate is in quadrant III.
Kwame must earn more than 16 1616 stars per day to get a prize from the classroom treasure box. Write an inequality that describes S SS, the number of stars Kwame must earn per day to get a prize from the classroom treasure box.
Answers
The inequality that describes the number of stars S that Kwame must earn per day to get a prize from the classroom treasure box is: S > 16.
What is the inequality that models this situation?The number of stars that he earns is represented by the variable S. He must earn more than 16 stars to earn a prize from the classroom treasure box, hence the inequality that represents the desired amount is given as follows:
S > 16.
Which is read as:
S is greater than 16, which is derived from the Fact that Kwame must earn more than 16 stars per day to get a prize, as stated in the problem.
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How do you graph x < 5 on a number line and is the circle open or not? Where's the number line going? Thanks!
Answers
The inequality sign < means "less than." If there is a line underneath the inequality sign that means "less than or equal to."
To graph x < 5, we first need to understand what the inequality is saying. In this case, x must be less than 5. So, a number that will make this inequality true will be less than, but not equal to, 5.
Start by putting an open circle on the number 5. An open circle indicates that 5 is not a value that works in this inequality. Then, we know that our values that make this inequality true are less than 5, so we'll draw an arrow from the circle to the left as numbers to the left of 5 are less than it.
Hope this helps!
Which characteristic is necessary to create a table that compares two functions?
Answers
Answer:
Which characteristic is necessary to create a table that compares two functions :
Choose the same values for each function [tex]\huge \checkmark[/tex]
help if u can ty! pls do not answer if u cannot help
Answers
Based on the logarithms given, the requirement to use one digit, and the figures to be produced, the right numbers are:
log₈2 · 4log₇ 6/5log₉3¹What log produces an integer?The log of a number gives 1 which is an integer so we can find numbers that when multiplied, produce a number that can be taken a log of. Those numbers are 2 and 4:
= 2 x 4
= 8
Log₈ = 1
What log produces an irrational number?Taking the log of a number to a decimal form leads to an irrational number. So, find numbers that when divided, will give a decimal:
= 6/5
= 1.2
Take a log of 7:
log₇ (1.2) will give an irrational number.
The remaining numbers ae 9, 3, and 1.
What log produces a rational number?With the numbers 9,3 and 1, the log to produce a rational number is:
log₉3¹ = log₉9¹/² = 1/2
1/2 is a rational number.
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In a charity triathlon, Mark ran half the distance and swag a quarter of the distance. When he took a quick break to get a drink of Gatorade, he was just starting to bike the remaining 17 miles. What was the total distance of the race?
Answers
Answer:
68 miles
Step-by-step explanation:
The total distance can be determined from the fractions.
SolutionLet d represent the total distance of the race.
The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.
Remaining = total distance - distance running - distance swimming
17 mi = d -1/2d -1/4d = 1/4d . . . . . . . . use known fractions
68 mi = d . . . . . . . multiply by 4
The total distance of the race is 68 miles.
__
Additional comment
This would be a very difficult race. A typical "iron man" race has a swimming distance under 2.5 miles, less than 1/10 of the distance running. The biking distance is typically about 4 times the running distance of "only" 26 miles. An iron man race can take about 17 hours to complete.
This race has a 17-mile swimming segment, which would take a fast swimmer on the order of 8 hours, by itself. (This is 2.7 times the length of a "marathon" swim.) Here, the running distance is 34 miles, about 30% longer than a marathon.
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
[tex]y = mx + n[/tex]
[tex]m = \frac{y - y}{x - x} = \frac{5 - ( - 1)}{ - 5 - ( - 3)} = \frac{6}{ - 2} = - 3[/tex]
[tex]y = - 3x + n \\ [/tex]
Since both ( -3 , -1 ) and ( -5 , 5 ) pass through the line, they both satisfy its equation. Substitute any point in the new equation, I will choose ( -5 , 5 )[tex]5 = - 3( - 5) + n \\ n = 5 - 15 = - 10[/tex]
[tex]y = - 3x - 10[/tex]
The speed of sound is approximately 1,225 kilometers
per hour. When an object travels faster than the speed of
sound, it creates a sonic boom.
Write an inequality that describes s, the speeds at
which a moving object creates a sonic boom.
Enter your inequality without a thousands separator.
Answers
s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.
Find the required inequality:From the question it is given that:
speed of sound is approximately 1225 km/hra moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boomFrom the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.
This clearly means that sonic booms are produced when s is greater that s
There are three possible situations in the given scenario:
Speed of light can be less than 1225 km/hr ⇒ s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)s = 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)s > 1225 km/hr ⇒ sonic boom is created (assumption is correct)Since we are looking for the true equation of creation of sonic waves,
it would be only the last one (s > 1225 km/hr).
Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.
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s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom. This can be obtained the same way of finding algebraic equation using variables ad constants.
Find the required inequality:
From the question it is given that:
speed of sound is approximately 1225 km/hr
a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom
From the given statements we can say that sonic booms are created ONLY WHEN the speed of object (s) is greater than the speed of the sound.
This clearly means that sonic booms are produced when s is greater that s
There are three possible situations in the given scenario:
Speed of light can be less than 1225 km/hr ⇒ s < 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)
s = 1225 km/hr ⇒ no sonic boom is created (assumption is wrong)
s > 1225 km/hr ⇒ sonic boom is created (assumption is correct)
Since we are looking for the true equation of creation of sonic waves,
it would be only the last one (s > 1225 km/hr).
Hence s > 1225 km/hr is the inequality that describes s, the speeds at which a moving object creates a sonic boom given that when an object travels faster than the speed of sound, it creates a sonic boom.
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Find the value of x
a. 13 b. 14/5 c. 5 d. 8
Answers
Answer:
C. 5
Step-by-step explanation:
The product of chord segment lengths is the same for the two crossing chords.
ApplicationOne chord has segment lengths 4 and 10; the other has segment lengths x and 8.
(4)(10) = (x)(8)
40/8 = x = 5 . . . . . . . divide by the coefficient of x
The value of x is 5, making option C the right choice, using the chord theorem.
The chord theorem, also known as the intersecting chords theorem, is a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal.
In the question, we are asked to find the value of x.
Using the chord property, we know that:
8*x = 4*10,
or, 8x = 40,
or, x = 40/8,
or, x = 5.
Thus, the value of x is 5, making option C the right choice, using the chord theorem.
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PLS HALP ASAP
A vertical slice through a three-dimensional solid produces a two-dimensional shape.
tall rectangle
Which one of the following solids can produce this two-dimensional shape when sliced vertically?
Answers
Answer:
the answer is B
a 3d rectangle slided vertically can produce a 2d rectangle
The height of an equilateral triangle is 4 startroot 3 endroot. what is the perimeter of the equilateral triangle?
Answers
Answer:
perimeter = 24
Step-by-step explanation:
formula:
In an equilateral triangle with sides of lengths ‘a’
The height of the triangle is equal to :
[tex]= \frac{\sqrt{3} }{2} a[/tex]
……………………………………………
Calculating ‘a’ :
We have to solve the equation:
[tex]4\sqrt{3} =\frac{\sqrt{3} }{2} a[/tex]
[tex]\Longleftrightarrow 4=\frac{1 }{2} a[/tex]
[tex]\Longleftrightarrow a = 8[/tex]
Calculating the perimeter:
= 3a
= 3 × 8
= 24
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answers
Answer:
○ [tex]F = \frac{S + 24}{3}[/tex]
Step-by-step explanation:
We know that:
[tex]S = 3F -24[/tex],
where F is the length of the foot of a person, and S is their shoe size.
To solve for the length of a person's foot, we have to rearrange the given equation to make F the subject:
[tex]S = 3F -24[/tex]
⇒ [tex]S + 24 = 3F[/tex] [adding 24 to both sides]
⇒ [tex]\frac{S + 24}{3} = F[/tex] [dividing both sides by3]
⇒ [tex]F = \frac{S + 24}{3}[/tex] [swapping the sides]
hi i was just wondering how to do this question (attached below) - ive been trying to figure it out for ages but have had no luck - could use some help! thanks
Answers
Answer: 88°
Step-by-step explanation:
We know that the ratio of ∠DCB : ∠ACD is 3:1. In other words, ∠DCB is [tex]\frac{3}{3+1}[/tex], or [tex]\frac{3}{4}[/tex] of the whole angle (i.e., ∠ACB), while ∠ACD is [tex]\frac{1}{4}[/tex] of the whole angle.
To easily find ∠ACB, which is the sum of both angles, we can add up all the angles of [tex]\triangle ABC[/tex] and set it equal to 180°.
[tex]m\angle A + m\angle B + m\angle ACB = 180\\75+53+m\angle ACB=180\\128+m\angle ACB=180\\m\angle ACB=52[/tex]
From here, we can calculate ∠BCD by multiplying the value of ∠ACB by three-fourths.
[tex]m\angle BCD = \frac{3}{4}(m\angle ACB)\\m\angle BCD = \frac{3}{4}(52)\\m\angle BCD = 39[/tex]
Similar to what we did to get the measure of ∠ACB, we can add up all the angles measures of [tex]\triangle DBC[/tex] to get the measure of ∠BDC.
[tex]m\angle B + m\angle BDC + m\angle BCD = 180\\53+m\angle BDC + 39= 180\\92+ m\angle BDC=180\\m\angle BDC = 88[/tex]
The measure of ∠BDC is 88°.
How would you find the area or perimeter of this shape?
Answers
The perimeter of a given shape implies the sum of all its sides. While the area of a given shape is the total value of space it would cover on a 2-dimensional plane.
The perimeter of the shape is 104 cm.
The area of the shape is 640 [tex]cm^{2}[/tex].
The perimeter of a given shape implies the sum of all its length of sides., such that the value of each individual side is summed to a total value.
The area of a given shape is the total value of space it would cover on a 2-dimensional plane. The area of shapes depends on the type of shape.
In the given question, the given shape has 12 sides. Some of these sides can sum up to a given length as shown in the diagram.
So that;
perimeter = 2 + 32 + 10 + 10 + 2 + 32 + 8 + 8
= 104 cm
Thus, the perimeter of the shape is 104 cm
ii. The area of the shape = length x width
= 32 x 20
= 640 [tex]cm^{2}[/tex]
Therefore, the area of the given shape is 640 [tex]cm^{2}[/tex].
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Graph Y equals |x|-5
Answers
Answer:
graph C
Step-by-step explanation:
when X= 0
Y ---> -5
so , answer is graph C
Answer:
c
Step-by-step explanation:
the graph of | x | has its vertex at the origin and has shape V
the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.
That is graph c represents | x | - 5
The average of three numbers, p, q and 27 is 28.The average of five numbers p, q, r, s and 27 is 31.Find the average of r and s.
Answers
Using the given information, the average of r and s is 35.5
Calculating AverageFrom the question, we are to determine the average of r and s
From the give information,
The average of p, q and 27 is 28.
That is,
(p + q + 27)/3 = 28
p + q + 27 = 3×28
p + q + 27 = 84
p + q = 84 - 27
p + q = 57
Also,
The average of p, q, r, s and 27 is 31
That is,
(p + q + r + s + 27)/5 = 31
p + q + r + s + 27 = 5 × 31
p + q + r + s + 27 = 155
Thus,
57 + r + s + 27 = 155
r + s = 155 - 57 - 27
r + s = 71
The average of r and s is (r + s)/2
(r + s)/2 = 71/2
(r + s)/2 = 35.5
Hence, the average of r and s is 35.5
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I need help cancelling units. please help
Answers
Hello and Good Morning/Afternoon:
Let's take this problem step by step:
Let's write out the equation we would hypothetically use to convert 410 kilometers to meters:
[tex]410 kilometers * \frac{1000 meters}{1 kilometers}[/tex]
Let's see if there are any errors:
there are 1000 meters in 1 kilometerwhen converting kilometer --> meter⇒ we want to get rid of the kilometer symbol
⇒ which is done in this problem
[tex]410 kilometers * \frac{1000 meters}{1 kilometers}=\frac{410 kilometers}{1 kilometers}*1000 meters = 410000meters[/tex]
Thus the answer is true
Answer: True
Hope that helps!
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times?
Answers
The required probability of the coin landing tails up at least two times is 15/16.
Given that,
A fair coin is flipped seven times. what is the probability of the coin landing tails up at least two times is to be determined.
What is probability?
Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
In the given question,
let's approach inverse operation,
The probability of all tails = 1 / 2^7 because there is only one way to flip these coins and get no heads.
The probability of getting 1 head = 7 /2^7
Adding both the probability = 8 / 2^7
Probability of the coin landing tails up at least two times = 1 - 8/2^7
= 1 - 8 / 128
= 120 / 128
= 15 / 16
Thus, the required probability of the coin landing tails up at least two times is 15/16.
Learn more about probability here:
brainly.com/question/14290572
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Exponential Growth
Find f(4), where f(x) = 3x.
Answers
f(x) = 3^x
f(4) = 3^4
f(4) = 3 * 3 * 3 * 3
f(4) = 9 * 9
f(4) = 81
Hope this helps!