Sometimes integers are encoded by using four-digit binary expansions to represent each decimal digit. this produces the binary coded decimal form of the integer. for instance, 791 is encoded in this way by 011110010001. how many bits are required to represent a number with n decimal digits using this type of encoding
How do you do mental math on 9 x 898
A die is rolled 360 times. find the standard deviation of the number of times a 3 will be rolled.
The standard deviation for the number of times a 3 will be rolled in 360 dice rolls is approximately 17.32, calculated using the binomial distribution's standard deviation formula.
The question asks for the standard deviation of the number of times a 3 will be rolled when a die is rolled 360 times. Since each face of a six-sided die has an equal probability of landing upright, the chance of rolling a 3 is 1/6. To calculate the standard deviation, we first find the expected value (mean) of the number of times a 3 will come up, which is 360 rolls multiplied by the probability of 1/6, resulting in an expected value of 60. Then we use the binomial distribution formula, where the standard deviation (σ) is given by the square root of the product of the number of trials (n), the probability of success (p), and the probability of failure (q), which is σ = √(npq). In this case, it is σ = √(360*(1/6)*(5/6)) which simplifies to σ = √(300) or approximately 17.32.
Which table best represents the steps to solve the equation 8 + x over 3 = 4?
i accidentaly highlighted the first one but i really need help on this and need the answer thank you! so much!
Explain why it works to break apart a number by place values to multiply
Which number is irrational?
A.-4
B.2/9
C.sqrt of 11
D.8.26... (repeating 6 only)
Answer:
C. sqrt of 11
Step-by-step explanation:
The area of a rectangle is 55 yd^2 , and the length of the rectangle is 4 yd less than three times the width. Find the dimensions of the rectangle.
Please help ASAP!
To determine the dimensions of the rectangle, set up a quadratic equation using the given area and the relationship between the length and width, then solve for the width and consequently the length.
Explanation:To find the dimensions of the rectangle with an area of 55 yd2 and a length that is 4 yards less than three times the width, we need to set up and solve a quadratic equation. Let the width be x yards. According to the problem, the length is 3x - 4 yards. The area of a rectangle is calculated by multiplying the length by the width, so we have the equation:
x(3x - 4) = 55
Distribute x across the expression:
3x2 - 4x = 55
To solve for x, we need to move all terms to one side of the equation to set it equal to zero:
3x2 - 4x - 55 = 0
This is a quadratic equation that we can solve by factoring, completing the square, or using the quadratic formula. It appears that this equation is not easily factorable; thus, the quadratic formula might be the best approach:
x = ∛{-b ± √{b2 - 4ac}}/2a
In this equation, a = 3, b = -4, and c = -55:
x = ∛{4 ± √{(-4)2 - 4(3)(-55)}}/(2·3)
Simplifying under the square root and solving for x, we get the width of the rectangle, and subsequently, we get the length by substituting x back into 3x - 4.
Write the phrase “all real numbers that are greater than −4 and less than or equal to 7” as a compound inequality.
Answer:
-4< X ≥ 7
Step-by-step explanation:
The sign of < indicates greater than, so that would express numbers greater than -4 and the sign ≥means smaller or less valuable or equal to, so with that you represent equal or less than 7, with that expression you can represent all the real numbers that are greater than -4 and less or equal to 7.
Student is told that A union B is the set of all elements that beling to A or B. However when askef to find the union of A{a,b,c,d}, and B{c,d,e,f,g,h} the student say that the answer is {a,b,e,f g,h}. How is the word or in the definition of set of union being misunderstood
A Midwestern competition awarded 38 ribbons. The number of blue ribbons was 1 less than the number of white ribbons. The number of red ribbons was 3 more than the number of white ribbons. How many of each kind of ribbons was awrded?
when robert was born,he weighed 8 pounds. how many ounces did he weigh?
What is the Estimate 169+354
Students collected data about the capacities of their lungs by inflating balloons with a single breath. they measured the circumference of the balloons in centimeters. each student completed three trials and calculated the average. balloon circumference (cm) student trial 1 trial 2 trial 3 average 1 66.0 66.5 68.5 67.0 2 67.5 64.0 70.5 67.3 3 60.3 60.5 60.5 61.0 4 55.0 58.0 59.0 57.3 which student miscalculated her average? 1. student 1 2. student 2 3. student 3 4. student 4
a digit in the hundredths place has ten times the value of the same digit in the thousands place
The difference in value is due to the decimal place values. A digit in the hundredths place indeed has ten times the value of the same digit in the thousands place. This happens due to the way decimal place values work.
Explanation:The digit in the hundredths place and the digit in the thousands place refer to decimal place values. When we mention that a digit in the hundredths place has ten times the value of the same digit in the thousands place, it's because of the way decimal place values function. For example, if we take a number 0.1203, the digit 2 is in the hundredths place. Now suppose you have another number, 0.003, where 3 is in the thousands place. Even if the digit remains same i.e., 2 or 3, their value will continue to change based on their place. Hence, one should know the value of the same digit can change depending on its position in the number.
Learn more about Decimal Place Values here:https://brainly.com/question/36803819
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What are the names of the three eras identified on the x-axis in model 1 answers?
The equation of a parabola is y=x2–10x+25. Write the equation in vertex form.
Answer:
y=(x–5)^2
Step-by-step explanation:
the highest temperature in Denver is -23.7 on February 7. the highest temperature the next day was 5 warmer. what was the next day high temoerature
what is the value of the 9 in 0.792
the numbers on the football field indicate 10 yards increments. you walk around the perimeter of the football field between the pylons. you walk a distance of 306 2/3. find the perimeter of one end zone
Answer:
Perimeter of one end zone = 126.66 yards.
Step-by-step explanation:
Perimeter of the football field between the pylons = Perimeter of ABCD in the figure = [tex]306\frac{2}{3}[/tex]
Now in figure we can see, If we remove the length of line segment AB and CD, we will left with sides of end zones AD and BC.
AD + BC = 306.67 - 200 ( each increment by 10 , therefore 10 x 10 + 10 x 10 = 200) = 106.67 yards
In figure, we can see AD = PQ = BC = half of 106.67 yards
So, PQ + AD = 106.67
Now, For one end zone which is of triangular shape, Perimeter = PQ + AD + AP + QD = 106.67 + 10 + 10 = 126.67 yards
Note:- In figure, we can see AP = QD = 10 (∵ increment by 10 yards)
Thus, the perimeter of one end zone is 126.67 yards.
The perimeter of one end zone is 126.67 yards.
To calculate this, we first need to know the total perimeter of the football field. The numbers on the field indicate 10-yard increments, so we can count 10 yards between each pair of pylons. There are 10 pairs of pylons on the field, so the total perimeter of the field is 10 * 10 = 100 yards.
The football field is 120 yards long, including the end zones. This means that each end zone is 10 yards long. Therefore, the perimeter of one end zone is 2 * 10 = 20 yards.
However, the end zones are not straight lines. They are curved, with a radius of 10 yards. This means that the perimeter of one end zone is not just 20 yards. We need to use the formula for the circumference of a circle to find the perimeter of the curved part of the end zone.
The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant approximately equal to 3.14159.
Plugging in the values for the radius of the end zone, we get C = 2π(10) ≈ 62.83 yards.
Therefore, the perimeter of one end zone is 20 + 62.83 = 82.83 yards.
In a crayon box there are 5 dark colors for every 8 light colors if there are 20 dark colors how many light colors are there?
Sue had 2 dozen eggs. She used 3/4 in her baking. How many eggs did Sue use?
Although the actual amount varies by season and time of day, the average volume of water that flows over the falls each second is 4.84.8 times ×10 Superscript 5105 gallons. How much water flows over the falls in an hour? Write the result in scientific notation. (Hint: 1 hour equals 3600 seconds)
The earth's radius is 6.37×106m; it rotates once every 24 hours. you may want to review ( pages 195 - 198) . part a what is the earth's angular speed
The angular speed of Earth is [tex]\fbox{\begin\\\ \bf 7.268\times 10^{-5}\ \text{radian per second}\\\end{minispace}}[/tex].
Further explanation:
It is given that the radius of Earth is [tex]6.37\times10^{6}\ \text{meters}[/tex] and it rotates once in every [tex]24[/tex] hours.
The angular speed of earth is nearly constant and Earth takes one day to complete one rotation that means the time interval for earth to complete one revolution is [tex]1\ \text{day}[/tex].
The total angular displacement covered by the earth to complete one revolution is [tex]2\pi\text{radian}[/tex].
One day is equivalent to [tex]24\ \text{hours}[/tex], [tex]1\ \text{hour}[/tex] is equivalent to [tex]60\ \text{minutes}[/tex] and [tex]1\ \text{minute}[/tex] is equivalent to [tex]60\ \text{seconds}[/tex].
The total number of seconds in [tex]1\ \text{day}[/tex] is calculated as follows:
[tex]\fbox{\begin\\\ \begin{aligned}1\ \text{day}&=24\ \text{hours}\\&=24\times60\ \text{minutes}\\&=1440\ \text{minutes}\\&=1440\times60\ \text{seconds}\\&=86400\ \text{seconds}\end{aligned}\\\end{minispace}}[/tex]
Therefore the time taken to complete one revolution is [tex]86400\ \text{seconds}[/tex].
The angular velocity is defined as the rate of change of angular displacement. So the formula for angular velocity is, as follows:
[tex]\fbox{\begin\\\ \omega=\dfrac{\theta}{t}\\\end{minispace}}[/tex]
In the above equation [tex]\omega[/tex] represents angular velocity, [tex]\theta[/tex] represents angular displacement and [tex]t[/tex] represents time.
To obtain the value of angular velocity of Earth substitute [tex]2\pi[/tex] for [tex]\theta[/tex] and [tex]86400[/tex] for [tex]t[/tex] in the above equation.
[tex]\begin{aligned}\omega&=\dfrac{2\pi}{86400}\\&=\dfrac{2\times3.14}{86400}\\&=\dfrac{6.28}{86400}\\&=7.268\times10^{-5}\end{aligned}[/tex]
Therefore, the value of [tex]\omega[/tex] is [tex]7.268\times10^{-5}[/tex].
Thus, the angular speed of the Earth is [tex]\fbox{\begin\\\ \bf 7.268\times 10^{-5}\ \text{radian per second}\\\end{minispace}}[/tex].
Learn more:
Problem on the magnitude of acceleration: https://brainly.com/question/1597065Problem on simplification: https://brainly.com/question/1602237Problem on general form of given circle: https://brainly.com/question/1506955Answer details:
Grade: High school
Subject: Mathematics
Chapter: Angular motion
Keyword: Angular velocity, angular displacement, time, one revolution, radian/second, Earth, 86400 seconds, 2pi, speed, minutes, omega, theta.
A store and a bank would both charge fees for _____.
failure to maintain a minimum balance
paying a bill online
conducting transactions with a teller
bouncing a check
Answer:
bouncing a check
Step-by-step explanation:
Bouncing a check occurs when you write a check for more money than you have in your account.
A bank charges a fee any time you bounce a check.
The store that you write a bounced check to will also charge you a fee.
identify the graph of the line 3x-7y=-21
WHAT IS 7.75 TIMES −1 2/3 PLZZ HELP ME I'LL GIVE U 15 PIONTS
A bicyclist was going from point A to point B with a speed of 12 km/h. On the way back he increased his speed to 18 km/h and covered the distance in 15 minutes less. What is the distance between point A and point B?
Answer:
points
Step-by-step explanation:
I need the answer for this problem help
what is bed? because I need help I don't know what the answer is
62 +62 = 124
360 - 124 = 176
176/2 = 88
BED = 88 degrees
Please give the answer and how to work it out!