The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is approximately 0.00000000024 or 0.000000002%.
The probability of four Kings being all next to each other in a well shuffled deck of 52 cards is:
(1/51) * (1/50) * (1/49) * (1/48)
= 0.000000000077 or 0.00000077%
The probability of four Queens being all next to each other in a well shuffled deck of 52 cards is:
(1/51) * (1/50) * (1/49) * (1/48)
= 0.000000000077 or 0.00000077%
The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is:
0.000000000077 * 0.000000000077
= 0.00000000024 or 0.000000002%
The probability of four Kings and four Queens being all next to each other in a well shuffled deck of 52 cards is very small, approximately 0.00000000024 or 0.000000002%. This is because there are many other combinations of cards that can occur in a shuffled deck.
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a 12oz can of soft drink at 25c is placed in a freezer where the temperature is -12c how much energy must be removed from the drink for it to reach this temperature
The amount of energy must be removed from the drink for it to reach this temperature is 35.5kJ
Here we have given that a 12oz can of soft drink at 25c is placed in a freezer where the temperature is -12c.
As we all know that the equation of the given measurement is written as,
=> Q1=m.c.AT
From the given, now we have to know that the mass "m" = 340gm
And the value of C= 4.18 J/g°C
Then at 25°C it will at the temperature of
=> Q1340g x 4.18 x 25
=> Q1 = 35, 5300J or 35.5kJ
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To find the area of parallelogram RSTU, Juan starts by drawing a rectangle around it. Each vertex of parallelogram RSTU is on a side of the rectangle he draws. Which expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU
The expression which is to be subtracted as calculated from the data given is found out to be as , 0.22.
The coordinates of the parallelogram as mentioned in the question is , R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
Therefore, the length of the sides as measured using distance formula is found out to be as,
RS = 4.1231, RT = 10 , ST = 9.2195 , SU = 10.198 ,TU = 4.1231 and UR = 9.2195.
Now as we know that 2 sides of a parallelogram are parallel , therefore,
RS || TU and ST || UR.
RS(slope) = (1 - (-3))/(-5 - (-4)) = -4
and the ,
ST(slope)= (3 - 1)/(4 - (-5)) = 2/9
Hence , to find the line perpendicular to ST is given by ,
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
Their point of interaction is , -9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
Side of rectangle = 4.1245
width of the rectangle = 0.1085
Therefore, the expression can be subtracted from the area of the rectangle to find the area of parallelogram RSTU = 1/2 × 4.1245 × 0.1085
= 0.22.
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Look at picture for question.
Answer: $23,800
Step-by-step explanation:
It was worth $37,000 at first and now it's worth $1800.
So we have 37,000 - 1800 = $35,200 that left away.
And we know that 8 years passed away.
So we have 35,200/8 = $4400 each year.
We are looking for 3 years later.
So we have 440*8 = $13,200 that left after 3 years.
And lastly, it's worth 37,000 - 13200 = $23,800 3 years later.
How many moles of KI are in 83 grams of KI?
Answer: 1 moles KI = 166.00277 gram using the molecular weight calculator and the molar mass of KI.
Step-by-step explanation
Answer was found by using the molecular weight calculator and the molar mass of KI.
Hope this helps :)
a football field is 120 yd long and 50 yd wide. what is the area of the football field, in m2, if 1 yd
Consequently, a football field measuring 120 yards long and 50 yards wide has an area of 5016.76 m2.
what is area ?An object's surface area is a measurement of the total volume of space that it occupies. The entire region surrounding a three-dimensional shape is referred to as its surface area. Its surface area is the total area of a three-dimensional shape. By adding the surfaces of each of a cuboid's six rectangular sides, one may determine the cuboid's surface area. The box's dimensions could also be named using the following formula: Surface (SA) = 2lw + 2lh + 2hw. A three-dimensional shape's surface area is a measurement of the total area it occupies (a three-dimensional shape is a shape that has height, width, and depth).
given
You are required to bring the area in this instance in m2, however the length (120 yd) and breadth (50 yard) are given in yd.
The unit must then be changed into m2. The rectangle's area formula should be length * width.
So, the equation should be:
area = length * width= (50yd * 91.44cm/yd * 1m/100cm) * (120yd * 91.44cm/yd * 1m/100cm)
= 5016.76 m2
Consequently, a football field measuring 120 yards long and 50 yards wide has an area of 5016.76 m2.
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who can help me plssssssssssssssssssssssssss
Answer:
Step-by-step explanation:
hi
Answer:
Step-by-step explanation:
hi
a rectangle has a length of 9 inches and a width of 5 inches whose sides are changing. the length is increasing by 3 in/sec and the width is shrinking at 5 in/sec. what is the rate of change of the perimeter?
If the length of the given rectangle is increasing by 3 in/sec and the width is shrinking at 5 in/sec then the rate of change of its perimeter is 4 in/sec.
Length, L = 9 inches
Width, W = 5 inches
The perimeter of the rectangle is
P = 2L + 2W.
By Differentiating both sides with respect to time t, we get
dP ⁄ dt = 2 × dL ⁄ dt + 2 × dW ⁄ dt
From the given conditions,
dL ⁄ dt = 3 and dW ⁄ dt = -5
So at the moment when L = 9 and W = 5,
dP ⁄ dt = (2)(3) + 2(−5 )
= 6 - 10
= -4
Therefore, The perimeter of the rectangle is decreasing at a rate of 4 in ⁄ sec.
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What is an absolute value function called?
Answer:
An absolute value function is a function in algebra where the variable is inside the absolute value bars. This function is also known as the modulus function and the most commonly used form of the absolute value function is f(x) = |x|, where x is a real number.
how to find midline of sinusoidal functions from equation
A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.
what is trigonometric ratios ?Trigonometric ratios are based on the side ratio of a right-angled triangle and consist of the values of all trigonometric functions. The ratios of the sides to any acute angle in a right-angled triangle are the trigonometric ratios of that angle. You can use trigonometric ratios to determine the lengths of one (or both) of the acute angles of a right triangle if you know the lengths of its two sides.
given
A function's midline is the horizontal line positioned exactly halfway between its maximum and minimum values.
The midline is the line y = 0 for y = sin (the horizontal axis). The difference between the highest and smallest values of a function is half its amplitude.
The amplitude of the y = sin function is 1.
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Work out the size of angle x.
Answer: x = 83°
Step-by-step explanation:
First, a straight line is equal to 180°.
180° - 126° = 54°
Next, a triangle's internal angles add up to 180°.
54° + 43° + x = 180°
With this given equation, we can solve for x.
Given:
54° + 43° + x = 180°
Combine like terms:
97° + x = 180°
Subtract 97 degrees from both sides of the equation:
x = 83°
to the nearest second, what is the first time between 4:00 and 5:00 that the minute and hour hands of the clock are perpendicular to each other?
So the first time between 4:00 and 5:00 that the minute and hour hands of the clock are perpendicular to each other to the nearest second is 4:06.
The minute hand of a clock moves 360 degrees in 60 minutes, or 6 degrees per minute.
The hour hand moves 360 degrees in 12 hours, or 30 degrees in 1 hour, or 30 degrees in 60 minutes, or 0.5 degrees per minute.
At 4:00, the minute hand is pointing straight up (12 o'clock), and the hour hand is pointing at 4 o'clock.
To find the first time that the hands are perpendicular, we need to find the first time that the difference between the angle of the minute hand and the angle of the hour hand is 90 degrees.
We know that the minute hand moves 6 degrees per minute and the hour hand moves 0.5 degrees per minute, so for every minute that passes, the angle between the hands increases by 5.5 degrees.
Each consecutive hour has 30 degrees in between, so angle between 12 and 4 is
4×30 = 120°
So,
At 4:00 the angle between the hands is
120°
At x minutes after 4, the angle is
120 - 5.5x
So to solve for x when angle is 90°
120 - 5.5x = 90
x = 30/ 5.5
x = 5.45 minutes
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Question 3 (20 points) Solve this problem. Round answer to the nearest hundredths place. 81.7 x2.68
So,
The skateboard cost $67.
The protective helmet cost $25.
To find the percent that the price of the skateboard was out of the total amount, add 67 and 25 and divide 67 by the result.
Step 1:
67 + 25 = 92
Step 2:
67/92 = 0.728 or 72.8%.
The correct option is B.
Answer:200
Step-by-step explanation: when you multiply 81.7x2.68 it equals to 218.948 which to the nearest hundreth is 200
Dean is playing a game with calculators. the 42 participants (including dean) sit in a circle, and dean holds 3 calculators. one calculator reads 1, another 0, and the last one -1. dean starts by pressing the cube button on the calculator that shows 1, pressing the square button on the one that shows 0, and on the calculator that shows -1, he presses the negation button. after this, he passes all of the calculators to the next person in the circle. each person presses the same buttons on the same calculators that dean pressed and then passes them to the next person. once the calculators have all gone around the circle and return to dean so that everyone has had one turn, dean adds up the numbers showing on the calculators. what is the sum he ends up with?
After completing the full turn around the circle by 42 participants as per given condition and number showing on the calculator the sum ends up with 0.
As given in the question,
Total number of participants = 42
Number of calculator = 3
Calculator that reads 1 dean pressed cube button
1³ = 1
Calculator that reads 0 dean pressed square button
0² = 0
Calculator that reads -1 dean pressed negation button
-(-1) = 1
Same activity repeated 42 times in the circle at the end number showed on the calculator are
Calculator reads 1 show 1
Calculator reads 0 show 0
Calculator reads -1 show -1
Sum of the three numbers are
= 1 + 0 + (-1)
= 0
Therefore, sum of the three numbers showing at the end on the calculator is equal to 0.
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a backyard garden has an area of 6.59 square meters. how many square centimeters is this? express your answer in scientific notation and to three significant figures.
There are 65900 square centimetres present in a backyard garden that has an area of 6.59 square meters.
Scientific notation is the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number is between 1 and 10s, it is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5 × 10¹².
To calculate a square meter value to the related value in cm², just multiply the quantity in m² by 10000 (the conversion factor). Here is the formula for it:
Value in cm² = value in m² × 10000
We need to convert 6.59 m² into cm². Using the conversion formula above, we will get:
Value in cm² = 6.59 × 10000 = 65900 cm²
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How is an inequality different from an equation? Give a real-world scenario in which you would write an inequality rather than an equation.
The main difference between an equation and an inequality is in an equation the elements are equal but in an inequality the elements are compared.
What is an inequality?A relationship between two expressions or values that are not equal to each other is called inequality.
An equation has an answer that equals a number. An inequality has an answer that could be less than or more than or less than or equal to or more than or equal to.
For example: You have some money in your pocket. You want to buy some snacks for tonight's match, but your wife told you to buy one pizza on your way back to home that costs $10. That means that on snacks you can spend (y) :
y ≤ x - 10 where x represents money in your pocket.
This means that from money in your pocket you have to subtract $10 for pizza and out of the remaining money you can spend some part of it on snacks or all of it.
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how were subjects selected (or not selected) for the study? what (if any) impact did that process have?
So, on solving the provided question we can say that the probability P(study) = 1/1-a
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
here,
subjects selected = a
not selected = 1-a
P(study) = 1/1-a
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an airplane flies from one city in a straight line to another city, which is 360 kilometers north and 150 kilometers west of first city. how far does the plane fly?
Answer: 390 Km
Step-by-step explanation: Use the Pythagorean Theorem to solve this problem. We know that it is going north and west, forming a triangle. It says a straight line so we know it is the hypotenuse. 360^2 + 150^2 = x^2. X is 390.
How do I solve this?
Answer:
y=200/9. x= 329/9
Step-by-step explanation:
3x=-43-3y; x=-43/3-y. 5(43/3-y)-8y=5; y=200/9. x= 329/9
please help me, i will mark brainliest for both answers.
What is this expression in simplified form?
(-7\sqrt{3})(11\sqrt{10})
The expression (-7*√3)*(11*√10) can be simplified to get:
-77*√30
How to simplify that expression?Here we want to simplify the following expression:
(-7*√3)*(11*√10)
Remember that the square roots are distributive, this means that we can write:
√a*√b = √(a*b)
And also remember that we can perform a sequence of multiplications in any order we want, so we can reorder the factors of our expression
Now let's rewrite our expression:
(-7*√3)*(11*√10)
as:
(-7*11)*(√3*√10)
-77*√(3*10)
-77*√30
That is the expression simplified.
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Is finding half of a number the same as dividing a number by ½ Why or why not?
No, finding half of a number is not the same as dividing a number by ½. When finding half of a number, the result is the number divided by 2. When dividing a number by ½, the result is the number multiplied by 2.
When finding half of a number, the result is the number divided by 2.
For example, if we want to find half of the number 8, we would divide 8 by 2 to get 4.
When dividing a number by ½, the result is the number multiplied by 2.
For example, if we want to divide the number 8 by ½, we would multiply 8 by 2 to get 16.
No, finding half of a number is not the same as dividing a number by ½. When finding half of a number, the result is the number divided by 2. When dividing a number by ½, the result is the number multiplied by 2.
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The following data give the prices of seven textbooks randomly selected from a university bookstore. $93 $172 $109 $119 $54 $164 $143 a. Find the mean for these data. Calculate the deviations of the data values from the mean. Is the sum of these deviations zero
The deviations of the data values as calculated form the data given in the question is found out to be as 1698.
The formula to calculate the mean is ,
mean = fixi / n
Therefore ,
mean = 93+172+109+119+54+164+143 / 7 = 861/7 = 731.42
Now, to calculate the standard deviation,
= √∑ (fx)²/ n
he value of y² as calculated is found out to be as ,
y² = 10190.
Therefore, SD = √(10190)²/ 7= 38.1
Now , variance is equal to the square of the standard deviation ,
or variance = ∑ ( y)² / n-1
= 10190 / ( 7-1)
= 10190 /6
= 1698.
The sum of these deviation thus , is not zero.
The variance is defined as the expectation of a random variable's squared departure from its mean value, and it is used to determine how far a set of values is spread out from its mean.
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6. A ferris wheel 250 feet across rotates once every 45 seconds.
rad
Find: a) angular velocity in
and
revolutions
hour
sec
b) velocity of the ferris wheel if it becomes disengaged from the motor and rolls away (ignoring friction....)
The angular velocity is 0.14 rad/sec.
The velocity of the Ferris wheel if it becomes disengaged from the motor and rolls away is 17.44 ft/sec.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Diameter of the Ferris wheel = 250 feet
The radius of the Ferris wheel = 125 feet
Now,
The linear velocity v = wr
Where w is the angular velocity.
The angular velocity.
w = v/r
The linear velocity v.
v = 2πr/T
v = (2 x 3.14 x 125) / 45
v = 17.44 ft/sec
The angular velocity.
w = v / r
w = 17.44/125
w = 0.14 rad/sec
Thus,
Angular velocity is 0.14 rad/sec.
The velocity of the Ferris wheel after disengaging from the motor is
17.44 ft/sec.
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Two parallel lines are cut by a transversal as shown below.
Suppose m /_ 5 = 56 . Find m /_ 2 and m /_4.
When the parallel lines are cut by a transversal, the values for the measurement of ∠2 and ∠4 is 124° each.
What are parallel lines?
Two lines in the same plane that are equally spaced apart and never cross each other are said to be parallel lines in geometry. Both horizontal and vertical shapes are possible.
Examples of parallel lines can be found everywhere, including zebra crossings, rows of notebooks, and the nearby railroad tracks.
In the given diagram the parallel lines are cut by a transversal.
The measure of angle 5 is, m∠5 = 56°.
It is known that each pair of interior angles on the same side of a transversal that cuts two parallel lines are supplementary, or they add up to 180 degrees.
So, m∠5 + m∠2 = 180°
56° + m∠2 = 180°
m∠2 = 180° - 56°
m∠2 = 124°
Now, as it can be seen in the image ∠2 and ∠4 are vertically opposite angles.
So, they will be congruent or equal to each other.
So, it is obtained that -
m∠2 = m∠4
m∠4 = 124°
Therefore, the measures of angles are m∠2 = 99° and m∠4 = 99°.
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The United States Coast Guard (USCG) is responsible for cruise ship safety. On some ships, USCG officers randomly select passengers for an extra security check before boarding. One such flight had 4300 passengers 1200 in balcony cabins and 2100 in ocean view rooms. USCG officers selected an SRS of 1000 passengers for screening. Let p be the proportion of passengers in balcony cabins in the sample. (c). What is the probability that no more than 75 of passengers in the sample have a balcony?
The probability that no more than 75 of passengers in the sample have a balcony is given as follows:
0%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The parameters of the binomial distribution are given as follows:
n = 1000, p = 1200/(4300 + 1200 + 2100) = 0.158.
Hence the mean and the standard deviation for the normal approximation are given as follows:
[tex]\mu = 1000 \times 0.158 = 158[/tex][tex]\sigma = \sqrt{1000 \times 0.158 \times 0.842} = 11.5[/tex]Using continuity correction, the probability that no more than 75 of passengers in the sample have a balcony is P(X < 75.5), which is the p-value of Z when X = 75.5, hence:
Z = (75.5 - 158)/11.5
Z = -7.17
Z = -7.17 has a p-value of 0.
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A system of linear equations is shown in the graph. How many solutions does the system have?
a coordinate plane with one line that passes through the points 0 comma 3 and 3 comma 4 and another line that passes through the points 0 comma negative 2 and 3 comma negative 1
No solution
One solution at (0, 3)
One solution at (−2, 0)
Infinitely many solutions
The number of solutions which the system of equations has is: A. no solution.
How to determine the number of solutions?Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁) or y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
Where:
m represents the slope.x and y represents the data points.At data point (0, 3), a linear equation of the first line can be calculated in slope-intercept form as follows:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 3 = (4 - 3)/(3 - 0)(x - 0)
y = 1/3(x - 0) + 3
y = x/3 + 3
For the second line, we have:
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y + 2 = (-1 + 2)/(3 - 0)(x - 0)
y + 2 = x/3
y = x/3 - 2
In conclusion, we can logically deduce that the given system of linear equations has no solution because it represents parallel lines.
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Y = x - 7
5y+3x= -13
Solve in equal value method
Step by step
Solve in equal value Method step by step solution is given below.
What is equal Value?Equal value is a concept that states all people, regardless of race, gender, ethnicity, sexual orientation, or any other defining characteristic, are of equal worth and should be treated equally. This concept is fundamental to democracy and is enshrined in the Universal Declaration of Human Rights. Equal value is also a foundation of economic theory, as it states that everyone should be able to access and benefit from economic resources, whatever their background.
Step 1: Isolate the 5y term on one side:
5y = -13-3x
Step 2: Divide both sides by 5:
y = (-13-3x)/5
Step 3: Replace the y with its expression:
x - 7 = (-13-3x)/5
Step 4: Distribute the -7 over the denominator of the right side:
x - 7 = (-13-3x-35)/5
Step 5: Add 7 to both sides:
x = (-13-3x-35+35)/5
Step 6: Simplify the expression:
x = (-13-3x)/5
Step 7: Solve for x:
x = -26/8
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Match the concept to the correct description.Stratified sampleChoose the correct answer below.A. A stratified sample is the result if a sampling method distorts a property of the population.B. A stratified sample is a sample chosen so that all subsets of size n are equally likely.C. A stratified sample is a complete collection of items desired to be studied.D. A stratified sample is a sample within homogeneous subsets of the population.
A stratified sample size is a method of sampling where the population is divided into homogeneous subsets and a sample is taken from each subset.
A stratified sample is a method of sampling where the population is divided into distinct subgroups, or strata, based on specific characteristics. This method of sampling ensures that each stratum is represented in the sample in the same proportion as it is in the population. This ensures that the sample is representative of the population. Stratified sampling is useful when the population is heterogeneous, which means that it is composed of subgroups that vary significantly in size or composition. By stratifying the population, it is possible to ensure that each subgroup is adequately represented in the sample. This method also helps to reduce sampling errors, which can occur if the sample is not representative of the population. Stratified sampling is a useful tool for researchers who want to accurately represent the population in their sample.
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For the equation: 2(x - 5) = 9 - 3x + 6 + 8 + 3x + 7 , the right side of the equation can be simplified by combining like terms.
Simplify 9 - 3x + 6 + 8 + 3x + 7 :
2(x - 5) can be simplified using the Distributive Property.
Simplify 2(x - 5):
The value of the equation is x=20.
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Here the given equation is
=> 2(x-5)=9-3x+6+8+3x+7
Now simplify the equation for x then
=> 2x-10 = 30-3x+3x
=> 2x-10=30
=> 2x=30+10
=> 2x=40
=> x=20
Hence the value of the equation is x=20.
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Jada and Aalisha are rock climbing, each moving up with a constant velocity of 1.0- Jada has
a mass of 65 kg, and Aalisha has a mass of 75 kg. At one point, Jada is 4.0 m above the
S
ground, and Aalisha is 3.0 m higher than Jada. Use g = 9.8
m
s².
What is the mechanical energy of the Jada and Aalisha system at this point?
Write your answer rounding to the nearest hundred
.
The mechanical energy of the Jada and Aalisha systems at this point will be 2548 joules and 2205 joules respectively.
What is mechanical energy?It is the sum of potential and kinetic energy. The mechanical energy is given as,
ME = mhg + 1/2 mv²
Jada and Aalisha are rock climbing, each moving up with a constant velocity of 1.0- Jada has a mass of 65 kg, and Aalisha has a mass of 75 kg. At one point, Jada is 4.0 m above the ground, and Aalisha is 3.0 m higher than Jada.
The mechanical energy of Jada is calculated as,
ME = 65 x 9.8 x 4
ME = 2548 joule
The mechanical energy of Aalisha is calculated as,
ME = 75 x 9.8 x 3
ME = 2205 joule
The mechanical energy of the Jada and Aalisha systems at this point will be 2548 joules and 2205 joules respectively.
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