(a) The probability of getting all 5 answers incorrect is [tex](5/6)^{5}[/tex] = 0.327.
(b) The probability of getting all 5 answers correct is [tex](1/6)^{5}[/tex] = 0.00013.
Probability: Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It is a value between 0 and 1, with 0 meaning that an event is impossible and 1 meaning that an event is certain to happen. Probabilities can also be expressed as percentages, with 0% meaning impossible and 100% meaning certain. Probability is used in many fields, including statistics, finance, and game theory, to make predictions and decisions based on uncertain information.
The quiz has 5 multiple choice questions with 6 options each, and only one of the options is correct.
(a) The probability of getting one answer incorrect is 5/6, so the probability of getting all 5 answers incorrect is [tex](5/6)^{5}[/tex], which is equal to 0.327.
(b) The probability of getting one answer correct is 1/6, so the probability of getting all 5 answers correct is [tex](1/6)^{5}[/tex], which is equal to 0.00013.
So, The probability of getting all 5 answers incorrect is 0.327 and the probability of getting all 5 answers correct is 0.00013.
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Mohamed and Zayed are playing DMZ on Warzone 2.0, during 1 match, Mohamed completes 6 more objectives than Zayed. Together they completed 14 objectives. Write and solve and equation to determine how many objectives each of them completed, write only your answer for each in the boxes below.
Answer:
Mohamed: 8 objectives
Zayed: 6 objectives
eeeeeeeeeeeeeeeee3eeeeee
Answer:
23e+3
Step-by-step explanation:
Answer:
Step-by-step explanation:
HELP pls will mark you the brainliest
The equation for the total cost is y = 2x + 20
How to write an equation for the total cost?Since we are to multiply the number of kites by 2 and add 20 to get the cost at Windy kites.
The table can be filled as follows:
Kite purchased Tota cost
4 (2*4) + 20 = 28
7 (2*7) + 20 = 34
10 (2*10) + 20 = 30
The equation for the total cost can be written as:
y = 2x + 20
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suppose that for budget planning purposes the city in exercise 12 needs a better estimate of the mean daily income from parking fees. a) someone suggests that the city use its data to create a 95% confidence interval instead of the 90% interval first created. how would this interval be better for the city?
A 95% confidence interval is wider than a 90% confidence interval and so provides a better estimate of the population mean.
A confidence interval represents the range of values within which the population mean is estimated to lie with a certain degree of confidence. The wider the interval, the more certain we can be that the population mean lies within it. In other words, a 95% confidence interval provides a better estimate of the population mean than a 90% interval because it is wider and therefore more likely to contain the true population mean.
This increased accuracy is particularly important for the city in their budget planning as it allows them to make more informed decisions based on a more reliable estimate of their expected daily income from parking fees.
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Graph the first four terms in the sequence 12, 6, 3, 1
According to the information, the correct way to graph this sequence is by putting the numbers 1, 2, 3, 4 as x coordinates... Then the coordinates would be (1,12), (2,6), (3,3 ) and (4,1).
How to graph the sequence?To graph the sequence we must establish an additional coordinate for each of the values. In this case we can put the value of 1, 2, 3, 4...
According to the above, the coordinates would be as follows:
(1,12)(2,6)(3,3)(4.1)Additionally, this graph would be a geometric sequence because it expresses values that are decreasing and is not a constant.
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luann predicted that if a certain number of vehicles passed her by, 42 of them would be suvs. what was that certain number of vehicles she had in mind?
The number of vehicles Luann had in mind is 135.
The calculation of the number of vehicles Luann had in mind is based on the ratio of the number of predicted SUVs to the number of predicted vehicles, and the actual number of SUVs seen by Luann.
First, we know that for every 45 vehicles that pass by, 14 are expected to be SUVs. This means that 14/45 of the vehicles are expected to be SUVs.
Next, we know that Luann saw 42 SUVs pass by. To find the actual number of vehicles that have passed by, we set up a proportion:
14/45 = 42/actual vehicles.We can then solve for the actual number of vehicles by cross-multiplying and dividing:
45 * 42 = 14 * actual vehiclesactual vehicles = 45 * 42 / 14 = 135.So the number of vehicles Luann had in mind is 135.
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Complete Question:
Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs. What was the certain number of vehicles she had in mind?
Types of Vehicles | Number of vehicles
Car | 6
Truck | 10
SUv | 14
Minivan | 15
58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57
If a value of 80.8° is added to the data, how does the range change?
Answer:
The original data set would be:
57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105
So to find the range you would do:
105 - 57 which equals 48.
So the range for the original data set would be 48.
The new data set adding 80.8:
57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105
So to find the range for the new data set you would do:
105 - 57 which would still equal 48.
So the range for the new data set would be 48.
The range for the original and new data set stayed the same.
Step-by-step explanation:
You're welcome.
Answer:
The original data set would be:57, 58, 61, 66, 71, 77, 82, 91, 95, 100, 102, 105So to find the range you would do:105 - 57 which equals 48.So the range for the original data set would be 48.The new data set adding 80.8:57, 58, 61, 66, 71, 77, 80.8, 82, 91, 95, 100, 102, 105So to find the range for the new data set you would do:105 - 57 which would still equal 48.So the range for the new data set would be 48.The range for the original and new data set stayed the same.
Step-by-step explanation: hi everybodyyy!!
7 1/4 rounded to nearest 1/4 hour
The required round of 7 /14 to the nearest 1/4 is itself 7 1/4.
What is rounding of values?The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
7 1/4 rounded to the nearest 1/4 hour is 7 1/4. Rounding to the nearest 1/4 hour means finding the closest 1/4 hour mark, which in this case is 7 1/4 itself.
Thus, the required round of 7 /14 to nearest 1/4 is itself 7 1/4.
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What is 22.3 × 1.8 ?
Answer:
40.14
Step-by-step explanation:
Answer: 40.14
Step-by-step explanation:
40.14
What is the area of the shape for the quilt block?
94 1/2 in²
166 1/2 in²
189 in²
333 In²
Answer:
166 1/2 in²
Step-by-step explanation:
The area of the quilt block= area of rectangel ABCD + area of right angled triangle AEF
=length*breath + 1/2*base* height
=16*9+1/2*6*7.5
=166.5 which also means 166 1/2 in²
g if there is a total of 30 exams and the third quartile has a value of 85, how many test scores are for certain 85 or greater?
7 test scores are 85 or greater according to the given scenario.
The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.
Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.
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Please help I have a learning disailty and this is due today.
To find the area of a triangle you use the formula A = 1/2
bh where b stands for the base and h is the height.
Find the area of the triangle drawn below.
The area of the triangle is inches squared _____________________
The area of the triangle is 12 inches squared.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Base = 8 in
Height = 3 in
Now,
Area = 1/2 x base x height
Area = 1/2 x 8 x 3
Area = 12 in²
Thus,
12 inches squared is the area of the triangle.
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Nolan is following his family's macaroni and cheese recipe. The recipe calls for 6 cups of shredded
cheese and 4 tablespoons of milk. He wants to make a smaller batch, so he uses only 3 cups of
shredded cheese.
How much milk does Nolan need for this smaller batch?
tablespoons
Answer:2 tablespoons of milk
Step-by-step explanation:
If nolan divides 6 by 2 he gets 3 cups of shredded cheese and to get the same results he would have to divide the milk portion too. 4/2 is 2 so he would need 2 tablespoons of milk.
the ratio of the measures of the three angles in a triangle is 14:5:11.Use the variable X as the uknown.Solve for X
The value of 'x' in the ratio 14 : 5 : 11 is 6.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the sum of all the interior angles in a triangle is 180°.
Given, The angles are in the ratio 14 : 5 : 11.
Let, 'x' be the ratio multiplier.
Therefore, 14x + 5x + 11x = 180.
30x = 180.
x = 180/30.
x = 6.
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resultant rotation angle value?
The angle of rotation if an image is the result of a composition of two reflections across perpendicular lines is 180 degrees
How to determine the angle of rotation of reflection os perpendicular line ?Rotation and reflection are forms of transformation as seen in mathematics. The two are related in some forms.
here, we have,
When a reflection is done on a plane perpendicular to the preimage the image is reflected at the perpendicular plane. This is equal to rotation of an angle 90 degrees.
When the reflection is continued again across the perpendicular line, another reflection is noticed and similar rotation however in this case with respect to the initial image, the rotation is now 180 degrees.
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Please help me with this ?
The supplement of an angle is 36 less than the supplement of the complement of the
angle. What is the measure of the angle? Show your work as clearly as you can!
The measure of the angle is 54 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Let the measure of the angle "x".
The complement of the angle is 90 - x.
The supplement of the complement is 180 - (90 - x) = 90 + x.
The supplement of the angle is 36 less than the supplement of the complement of the angle, so 90 + x - 36 = x.
90 + x - 36 = x
54 = x
So the measure of the angle is 54 degrees.
Hence, the measure of the angle is 54 degrees.
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What is the volume of this cylinder?
Use ≈ 3.14 and round your answer to the nearest hundredth.
Find the probability of taking out the king from a well shuffled pack of 52 cards
Answer:
1/13
Step-by-step explanation:
There are 52 cards in a deck, there are 4 suits and a king in each suit.
That makes 4 kings in a deck of cards.
P(king) = number of kings/ total cards
= 4/52 = 1/13
Answer:
1/13
Step-by-step explanation:
in 52 cards there was 4king
so ＝4/52
simplify ＝1/13
help me. the problem is in the pic
The anchor dropped at a rate of -1.8 meters per second.
The time it took to reach the water's surface is given as follows:
30 seconds.
What is the relation between velocity, distance and time?The relation between velocity, distance and time states that the velocity is obtained by the quotient of the distance by the time, as follows:
v = d/t.
In which the parameters are given as follows:
v is the velocity.d is the distance.t is the time.The anchor fell 63 meters in 35 seconds, hence the velocity is given as follows:
v = -63/35
v = -1.8 meters per second. (negative means that it is a drop).
The time needed to fall down 54 meters an reach the water's surface is given as follows:
1.8 = 54/t
t = 54/1.8
t = 30 seconds.
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Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles?
Therefore , the solution of the given problem of linear equation comes out to be 683 = 211 + 63x option c is correct.
A linear equation is precisely what?A straightforward regression curve is created using the equation y=mx+b. The y-intercept is m, and the slope is B. The previous sentence is usually referred regarded as a "mathematical formula integrating multiple variables," even though y or y are different parts. Only two variables are present in bivariate linear equations. There are no known solutions to application issues involving linear equations. Y=mx+b.
Here,
Distance already traveled by Ed 211 miles
Also, Ed is driving at a rate of 63 miles per hour.
Distance Speed × Time
Distance traveled by Ed in x hours = 63x
Total distance traveled by Ed= 211 + 63x
Also, total distance traveled by Ed is 638 miles.
Therefore,
=> 683 = 211 + 63x
or
x =7.49
Thus , option c is correct.
Therefore , the solution of the given problem of linear equation comes out to be 683 = 211 + 63x option c is correct.
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The complete question is "Ed is on a road trip. He has already traveled 211 miles and is driving at a rate of 63 miles per hour. Which equation could be used to find how many hours, x, Ed has left in his road trip if he is traveling 638 total miles? A. 211x + 638 = 63 B. 211x + 63 = 638 C. 63x + 211 = 638 D. 63x + 638 = 211"
on day 0, there are 500 barteria in a dish. the number of bacteria doubles every day after that. how many bacteria(y) are there after x days?
The number of bacteria that represents y at the end of x days will be [tex]y=(500)(2)^{x}[/tex]
As per the given data on the day 0, there are 500 bacteria in a dish.
The number of bacteria that doubles every day after that.
Here we have to determine that how many bacteria which represent y are there after x number of days.
Therefore, the number of bacteria after every day will form a geometric progression (G.P) with the first term as a = 500 and the common ratio as r = 2
Therefore [tex]\mathrm{a}_3=\mathrm{ar}^2=(500)(2)^2=2000[/tex]
Therefore, the number of bacteria at the end of 2nd day will be 480
[tex]$a_5=a^4=(500)(2)^4=8000[/tex]
And [tex]$\mathrm{a}_{\mathrm{n}+1}=\mathrm{ar}^{\mathrm{n}}[/tex]
[tex]$\mathrm{a}_{\mathrm{n}+1}[/tex] represents y and n represents x
[tex]y=(500)(2)^{\mathrm{x}}[/tex]
Thus the number of bacteria at the end of x days will be [tex](500)(2)^{x}$=y[/tex]
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Find the slope number 11
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +5}{4 +2} \implies \cfrac{ 8 }{ 6 } \implies \cfrac{4 }{ 3 }[/tex]
two histograms share a horizontal axis indicating the range of the data in the two samples. the first histogram is entirely to the left of the second. which statements are true?
The two statements that are true are that the two histograms have different ranges of data and different distributions of data.
The first statement that is true is that the two histograms have different ranges of data. To calculate the difference in range, you can use the formula Range = Maximum - Minimum, where Maximum is the largest value in the sample, and Minimum is the smallest value in the sample. This means that if the maximum value of the first histogram is, say, 10 and the minimum value of the second histogram is 15, the difference in range between the two histograms is 5. The second statement that is true is that the two histograms have different distributions of data. This can be determined by looking at the shape of the histograms. For example, if the first histogram is clustered around a certain range of values, while the second histogram is more evenly distributed, this would indicate two different distributions.
So, in summary, the two statements that are true are that the two histograms have different ranges of data and different distributions of data.
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HELP pls will mark you the brainliest. Show your work.
Answer:
A
Step-by-step explanation:
The answers you have are in (x, y) form
Looking at first answer, -3 is the x and -1/2 is the y. We plug in the -3 as the x in each equation and hope to get -1/2.
So for (-3, -1/2)
y = 1/2(-3) + 1 = -3/2 + 1 = -1/2
Now the other equation
y = 3/2(-3) + 4 = -9/2 + 4 = -1/2
Since we got -1/2 as both. which is also the Y coordinate, this must be the answer. If it wasn't, we could keep going through the answer choices doing the same method.
Cindy is buying necklaces. This table shows how the cost depends on
the number of necklaces purchased.
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
What is the constant of proportionality of this relationship?
(label optional)
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
What is a unitary technique, exactly?After determining the size of a small slice, multiply the quantity by two to complete a task using the unitary technique. The simple expression-based unit variable technique aids in separating a coded item from a given group or collection of groups. 40 pens, for instance, would cost 400 Rs (or $1.01 or 400 pounds). It's possible that one country will have total control over the method employed to do this.
Here,
Given :
Necklaces 9 10 11 12
Cost ($) 18 20 22 24
Cost of one necklace = 18/9 =2
$2 for one necklace.
Therefore , the solution of the given problem of unitary method comes out to be $2 for one necklace is constant of proportionality of this relationship.
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pls help plssssss
it would really help
The size of the angle YZX is 19.7 degrees.
How to find the angles of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the angle YZX in the right triangle as follows:
Hence using trigonometric ratios,
sin ∠Z = opposite / hypotenuse
sin ∠Z = 7.5 / 22.3
sin ∠Z = 0.33632286995
∠Z = sin⁻¹ 0.33632286995
∠Z = 19.6530010139
Therefore,
∠YZX = 19.7 degrees.
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In a library 3 out of 4 books are nonfiction. of the nonfiction books. 40% are biographies. The Library has a total of 840 books.
Answer:
so your telling me that you need the answer to a question? how about you answer my queston first. how much wood could a wood chuck chuck if a wood chuck could chuck wood?
Step-by-step explanation:
ANSWER IT RN.
6. the sun of the digits of a certain two digit number is 6. if the original number is subtracted from the number formed by interchanging the digits, the result is 36. find the original number
let the unit place digit be x and tens place digit be y, therefore, the original number is 15.
then the two-digit number will be 10y + x
and the number formed by interchanging the unit place and tens place digits will be 10x + y
according to the first condition given in the qs i.e, the sum of two digits in the number is 6 that is
x + y = 6
Also given that, if the original number is subtracted from the number formed by interchanging the digits, the result is 36.
i.e 10y +x - 10x -y = 36
9(y-x) = 36
y-x = 36/9
y-x = 4 and x+y = 6
solving both the above equations we will get ,
x= 1 and y = 5
since original number is 10y + x = 10(1) + 5
therefore, the original number is 15.
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if a researcher is very confident that changes in the independent variable caused changes in the dependent variable, the study is said to have
The independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1
In order to determine if changes in an independent variable cause changes in a dependent variable, the researcher must use a measure of correlation. The most commonly used measure of correlation is Pearson’s Correlation Coefficient (r). This coefficient measures the strength and direction of the linear relationship between two variables. It can range from -1 to +1 and can be calculated using the formula r = (Σxy) / (√Σx2 * √Σy2).
The value of r indicates the strength of the relationship between two variables. A value of 0 indicates no correlation, a value of 1 indicates a perfect positive correlation, and a value of -1 indicates a perfect negative correlation. The closer the coefficient is to +1 or -1, the more confident the researcher can be that changes in the independent variable caused changes in the dependent variable. If the researcher is very confident that changes in the independent variable caused changes in the dependent variable, then the Pearson’s Correlation Coefficient must be close to either +1 or -1.
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compete question:
What is Pearson's Correlation Coefficient and how is it used to measure the strength of the relationship between two variables?
A circle has central angle 144° and its arc length is 4 units. the radius of the circle is?
The radius of the circle is 20/π units or approximately 6.37 units.
To find the radius of the circle given its central angle and arc length, we can use the formula:
arc length = radius * central angle
In this case, we have:
arc length = 4 units
central angle = 144°
Plugging these values into the formula, we get:
4 units = radius * 144°
To solve for the radius, we need to convert the angle from degrees to radians, as the formula requires the angle to be in radians.
1 radian = 180°/π
So, 144° = (144/180) * π radians
Simplifying, we have:
144° = (4/5) * π radians
Now we can rewrite the formula using radians:
4 units = radius * (4/5) * π radians
Solving for the radius, we divide both sides of the equation by (4/5) * π:
radius = (4 units) / ((4/5) * π)
Simplifying further, we can multiply the numerator and denominator by 5 to cancel out the fraction:
radius = (20 units) / π
Thus, the radius of the circle is 20/π units or approximately 6.37 units.
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