The suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.
To determine if Elisa's suitcase is within the weight limit of 23 kg, we need to convert the weight of the suitcase from pounds to kilograms.
the suitcase weighs 49 pounds the airline only allowed suitcases that way up to 23 km is it correct weight or not
First, we need to convert 10 kg to pounds: 10 kg * (22 pounds / 1 kg) = 220 pounds
Next, we need to convert 49 pounds to kilograms: 49 pounds / (22 pounds / 1 kg) = 2.23 kg.
Since the suitcase weighs 2.23 kg, which is less than the 23 kg weight limit, Elisa can take the suitcase on the plane.
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A dairy spends $21,000 per year to maintain its barns and equipment. It costs $2000 per year to feed and care for each dairy cow. (a)
Using C for the number of dairy cows and E for the total yearly expense, in dollars, find a formula that gives the total yearly expense as a linear function of the number of dairy cows. E =
(b)
The yearly income I, in dollars, for the dairy comes from milk production, which depends on the number C of dairy cows. Each dairy cow produces 3500 gallons of milk per year, and the dairy sells milk for $2. 00 per gallon. Find a formula that gives I as a linear function of C. I =
Incorrect: Your answer is incorrect. (c)
Determine the smallest number of cows the dairy needs in order to (at least) break even. Your answer should be a whole number. Incorrect: Your answer is incorrect. Cows
a) Formula that gives the total yearly expense as a linear function of the number of dairy cows is E = 21,000 + 2,000C.
b) Formula that gives I as a linear function of C is I = 7,000C. The smallest number of cows the dairy needs to break even is 5.
(a) Let's call the number of dairy cows "C".
The yearly expense for maintaining the barns and equipment is a fixed cost of $21,000.
The yearly expense for feeding and caring for each dairy cow is $2,000.
To find the total yearly expense, we can add the fixed cost of maintaining the barns and equipment to the variable cost of caring for the cows:
E = 21,000 + 2,000C
This is a linear equation that gives the total yearly expense as a function of the number of dairy cows.
(b) Each dairy cow produces 3,500 gallons of milk per year.
The dairy sells milk for $2.00 per gallon.
To find the yearly income for the dairy, we can multiply the number of gallons of milk produced by the price per gallon:
I = 2.00(3,500)C = 7,000C
This is a linear equation that gives the yearly income as a function of the number of dairy cows.
To determine the smallest number of cows the dairy needs in order to break even, we need to find the point where the yearly income is equal to the yearly expense.
Setting I = E, we get:
7,000C = 21,000 + 2,000C
Simplifying and solving for C, we get:
5,000C = 21,000
C = 4.2
Since we cannot have a fraction of a cow, we round up to the nearest whole number.
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In a class & 60 students the most number of students who passed Ga is 6 more than the number that passed fante. Every student passed at least one of the two subjects and 8 students passed both subjects (1) How many students passed Ga?
Answer: 37
Step-by-step explanation:
let x be the number of students who pass "fante". Then the number of students who passed "Ga" will be x + 6.
with the added information that 8 students passed both we can say:
(x + x + 6) - 8 = 60
2x + 6 = 68
2x = 62
x = 31
.: x + 6 = "only Ga pass" = 37
The question does not make it clear if it is asking for students who *only* passed Ga, or students who passed Ga + those who passed both. I'll assume the former though. Otherwise the answer would be 37 + 8 = 45 students
i need help please!!!!!!!!!!
A person's height and speed to reach mars are the two things cοnsidered to be measured.
What does precision mean?Precision is a number that expresses the value οf the number and indicates how many informational digits are there. Fοr instance, 3.14 is an approximation οf pi that is reasonable and accurate. Hοwever, the precision digit, which is 3.199, is less than the precise digit.
1. A person's height and the speed necessary tο reach Mars are two things you could measure. We dοn't need to be extremely precise because it's possible to measure the person's height with a mοdest level of accuracy. If we said something like, "that individual is rοughly 6 feet tall," the person listening wοuld have an idea of their height. For a rocket speed to Mars, hοwever, we require excellent accuracy because getting this number incοrrect could have disastrous consequences in the future. In οrder to ensure that we strike the necessary οbjective in space, extremely difficult mathematics is required.
2. As already mentiοned, anything involving space travel requires extreme precision. The spacecraft might sοmehow crash if the calculations are off. Engineers utilized the incοrrect parameters in one instance, causing the Mars lander tο smash into the planet rather than land safely. Given the expensive cost οf such space exploration missions, it is imperative to οbtain exact data that is as accurate as feasible. It's nοt necessary to be extremely accurate while discussing someοne's height because we can merely give approximatiοns to anyone we're speaking tο. Cοmpared to something like a rοcket launch, the level of accuracy required in this informal situation is lοwer.
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John and Paul both run on the same track each morning. The ratio of the number of miles John runs to the number of miles Paul runs is 5:8.
Which statement correctly represents the situation?
The statement correctly represents the situation is "Paul runs 5/8 mile for every one mile that John runs".
How to determine which statement correctly represents the situation?Ratio is used to compare two or more quantities. It is used to indicate how big or small a quantity is when compared to another.
The ratio of the number of runs that John and Paul do is 5:8, which means that for every 5 runs that John does, Paul does 8 runs.
Let J and P number of miles John and Paul run respectively. We can write:
P : J = 5 : 8
P / J = 5 / 8
P = (5/8)J
Therefore, Paul runs 5/8 mile for every one mile that John runs
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Complete Question
John and Paul both run on the same track each morning. The ratio of the number of John runs to the number of Paul runs is 5:8 Which statement correctly represents the situation?
A. Paul runs 5/8 mile for every one mile that John runs
B. Paul runs 8/13 mile for every one mile that John runs.
C. John runs 5/8 mile for every one mile that Paul runs.
D. John runs 8/13 mile for every one mile that Paul runs.
A factory has 1,254 tires each new car needs 4 tires how many new cars can be made
The total number of new cars made by a factory from 1,254 tires as each car required four tires is equal to 314 ( round off to nearest whole number ).
Total number of tires in the factory is equal to 1,254
Number of tires required by each new car is equal to 4 tires.
The total number of new car made by a factory is equal to :
4 tires = 1 new car
⇒ 1 tire = ( 1 / 4 ) new car
⇒ 1,254 tires = 1,254 × ( 1 / 4 ) new car
⇒ 1,254 tires = ( 1,254 / 4 ) new cars
⇒ 1,254 tires = 313.5 new cars
But number of new cars cannot be in the decimals or fraction.
Round off to the nearest whole number .
⇒ 1,254 tires = 314 new cars ( nearest whole number )
Therefore the total number of new cars made by a factory is equal to 314 new cars.
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what is the answer to this f/22=27
Lance is drawing a triangle. He draws one
side that is 8 inches long and another side
Se that is 5 inches long. Which one of the yeu
following could be the third side?
The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given ,
Lance is drawing a triangle. He draws one side that is 8 inches long and another side Se that is 5 inches long.
The third side of the triangle can be any length that satisfies the triangle inequality theorem. According to this theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
So, in Lance's triangle, if the first side is 8 inches long and the second side is 5 inches long, then the third side must be less than 8 + 5 = 13 inches.
So, the possible options for the third side are:
6 inches
7 inches
9 inches
10 inches
11 inches
12 inches
13 inches or longer.
Therefore, The possible lengths for the third side could be: any length between 1 inch and 12 inches (but not equal to either 8 inches or 5 inches) any length greater than 12 inches
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according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate. a system administrator wishes to see if the same percentages hold true for the e-mail traffic on her servers. she randomly selects e-mail messages and checks to see whether or not each one is legitimate. (unless otherwise specified, round all probabilities below to four decimal places; i.e. your answer should look like 0.1234, not 12.34%). a) assuming that 90% of the messages on these servers are also spam, compute the probability that the first legitimate e-mail she finds is the sixth message she checks.
The probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
What is probability?
The probability of an occurrence is a figure that represents how likely it is that the event will take place. In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%. The higher the likelihood, the more likely it is that the event will take place.
Here, we have
Given: according to internet security experts, approximately 90% of all e-mail messages are spam (unsolicited commercial e-mail), while the remaining 10% are legitimate.
For each message, we have the following probabilities:
90% probability it is spam.
10% probability it is legitimate.
Compute the probability that the first legitimate e-mail she finds is the fifth message she checks:
The first four are all spam, each with a 90% probability.
The fifth is legitimate, with a 10% probability.
P = (0.9)⁴×0.1
P = 0.0656
Hence, the probability that the first legitimate e-mail she finds is the sixth message she checks is 0.0656.
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. three coins are tossed up in the air, one at a time. what is the probability that two of them will land heads up and one will land tails up?
The probability of receiving two heads and one tail is 3/8, or 0.375.
One of the areas of probability theory is the estimation of the chance of experiments occurring. Using a probability, we can calculate everything from the likelihood of getting heads or tails when flipping a coin to the likelihood of making a research error, for example. It is essential to appreciate the most basic definitions of this branch, such as the formula for computing probabilities in equiprobable sample spaces, the likelihood of two events joining together, the probability of the complementary event, etc., in order to properly understand it .Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. Mathematics has incorporated probability to forecast the likelihood of various events.
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which of the ordered pairs (18,8) , ( 8,18) , (9,4) or (4,9) is a solution to the system of equations
When we solve the provided question, the equations will be - > x = 1/2 y + 5
What exactly is an equation?A mathematical equation is a formula that joins two statements and indicates equality with the equal symbol (=). In algebra, an equation is a mathematical statement that establishes the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the relationship between the two sentences on either side of a letter. There is commonly only one parameter, which also provides as the symbol. For instance, 2x - 4 = 2.
Here, the equations will be -
x = 1/2 y + 5
2x + 3y = 14
2(1/2y + 5) +3y = -14
y = -6
and x 2
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What number is exactly halfway between 61 and 547?
Answer:
304
Step-by-step explanation
it was on my quiz
Answer:
The number 304 is exactly halfway between 61 and 547.
Step-by-step explanation:
To find the halfway point between two given numbers we can simply add them together then divide them by 2.
Note:
let [tex]N[/tex] be the number that is halfway
[tex]N=\frac{547+61}{2}[/tex]
[tex]N=\frac{608}{2}[/tex]
[tex]N=304[/tex]
a is directly proportional to the square root of c. w is inversely proportional to a³.
When c = 49, a = 35
When a = 2, w = 16.
Find the value of w when c = 4.
Answer:
W when c = 4 is 0.128.
Step-by-step explanation:
The relationship between A, C and W can be represented by the following equations:
A = k√c
W = m/a^3
Where k and m are constant of proportionality.
Since A is directly proportional to the square root of c, we can write k = A/√c. Substituting the values of A and C when c = 49, we have:
k = 35/√49 = 35/7
Since W is inversely proportional to a^3, we can write m = W * a^3. Substituting the values of W and A when a = 2, we have:
m = 16 * 2^3 = 128
Now we have both k and m, we can find the value of W when c = 4.
A = k * √c = 35/7 * √4 = 10
W = m/a^3 = 128/10^3 = 0.128
So, the value of W when c = 4 is 0.128.
A survey was conducted among a group of employees to find the average time they spent online each day. The answers of the employees (in minutes) are shown in the box. 25, 45, 60, 30, 35, 20, 40, 45, 15, 30 Which of these scales would be most appropriate on the y -axis to represent this data on a bar graph? Responses
An appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Since the data represents the average time employees spent online, the y-axis of the bar graph should represent time in minutes.
To choose an appropriate scale for the y-axis.
we need to consider the range of values in the data set.
The lowest value is 15 minutes
and the highest value is 60 minutes
Range of values is 60 - 15 = 45 minutes.
It's best to choose a scale that divides the range of values into equal intervals.
One possible option is to use a scale where each unit represents 5 minutes of time. This would allow us to represent the data accurately without making the bars too small or too large.
Therefore, an appropriate scale for the y-axis would be to have each unit represent 5 minutes of time.
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Which algebraic expression is a polynomial term?
A polynomial term is an expression composed of constants, variables, and exponents.
A polynomial term is an expression composed of constants, variables, and exponents. Constants are the numerical values that don't change, while variables are values that can change. Exponents are numbers that indicate how many times a number is multiplied by itself. For example, 2^3 means 2 multiplied by itself 3 times, or 8. A polynomial term is an expression that combines constants, variables, and exponents, such as 6x^2 - 3x + 5. In this expression, 6, -3, and 5 are constants, x is a variable, and 2 and 1 are exponents. A polynomial term can also contain fractions, such as (2x + 1)/3. In this case, 2, 1, and 3 are constants, and x is a variable. Polynomial terms are the building blocks of polynomials, which are equations that consist of multiple polynomial terms.
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A city's population is currently 365,000. If the population doubles every 24 years, what will the population be 96 years from now?
Answer: 5,840,000
Step-by-step explanation:
96/24=4
365,000x2x2x2x2=5,840,000
or
365,000 x 2^4=5,840,000
help me with the question, please
have a good day
Answer:
3 liters
Step-by-step explanation:
If he took the 2 fullest containers, he took the two dots that are at 4 1/2, which is also 4.5
Now since there are two, we multiply by 2.
4.5 = 9 liters
It then says he will divide the milk evenly between 3 containers. So now we divide.
9/3 = 3
Amy and Tina each buy a coffee.
Amy gets 15p change from £2
Tina gets £2.45 change from £5
How much more does Tina pay than Amy?
Give your answer in pence.
+
Optional working
Answer: 235
3
Р
Tina pays 0.7p more than Amy when buying the coffee.
What is addition and subtraction?The two main arithmetic operations that we learn to add and subtract two or more integers or other mathematical values are addition and subtraction. Division and multiplication are the other two fundamental mathematical operations. The addition symbol is the plus sign (+), and the subtraction symbol is the minus sign (-). (minus sign).
Given that,
Amy gets 15p change from £2. The price of the coffee is:
A = 2 - 0.15
A = 1.85
Tina gets £2.45 change from £5. The price of the coffee is:
T = 5 - 2.45
T = 2.55
The difference in the cost of the coffee is:
T - A = 2.55 - 1.85 = 0.7
Hence, Tina pays 0.7p more than Amy when buying the coffee.
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A quilter created the following shape to use in a block for a new quilt. A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches. What is the area of the shape for the quilt block? ninety-four and one half in2 one hundred sixty-six and one half in2 189 in2 333 in2
The total area of the quilt is: 166.5 square inches
How to determine the total area of the quilt?The six-sided figure is given, and we can deduce the following parameters from the question:
The shape is made of a triangle and a rectangle
The side lengths derived from the question are:
The triangle on top:
base: 6 inches and height: 7.5 inches
The rectangle at the bottom:
Base: 16 inches with a height of 9 inches
So, we have the total area of the figure to be
Area of figure = (1/2 * 7.5 * 6) + (16 * 9)
Area of figure = 22.5 + 144
Area of figure = 166.5 in²
Based on the parameters, the total area is 166.5 square inches
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Anand's math teacher finds that there's roughly a linear relationship between the
amount of time students spend on their homework and their weekly quiz scores. This.
relationship can be represented by the equation y = 7.2x + 55, where y represents
the expected quiz score and a represents hours spent on homework that week. What
is the meaning of the 2-value when y = 77?
The number of hours a student should spend on their homework to expect a
score of 77 on the quiz.
A student's expected quiz score if they spent 77 hours on their homework.
The change in expected quiz score for every additional one hour students spend
on their homework.
A student's expected quiz score if they spent no time on their homework.
Submit Answer
To get 77 marks on a quiz the student has to spend approximately 3 hrs.
The expected quiz score if a student spends no time on homework is 55.
What is meant by a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, occasionally referred to as a "linear equation of two variables."
It is given that y = 7.2x + 55
where y is the expected quiz score.
x is the number of hours spent on homework that week.
If the value of y=77
77=7.2x+55
22=7.2x
x is approximately 3 hrs.
If the student spends no time on their homework:
x=0
y=0+55
y=55.
Therefore to get 77 marks on a quiz the student has to spend approximately 3 hrs.
The expected quiz score if the student spends no time on home work is 55.
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LB =
Round your answer to the nearest hundredth.
B
?
CT
5
4
A
C
3
Measure of angle B is 36.87°.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions or the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given is a right angled triangle.
We have to find measure of angle B.
Cosine of an angle in a right angled triangle is equal to the ratio of it's adjacent side to the hypotenuse.
Hypotenuse = AB = 5
Adjacent side to B = CB = 4
Cos B = 4/5
∠B = Cos⁻¹ (4/5)
= 0.6435 radians
= 36.87°
Hence the measure of the angle B is 36.87°.
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Mr. Lopez must drive 340 miles to
attend an origami convention. His
car averages 28 miles per gallon and so far he has traveled 102 miles. How much gasoline must be left in his tank if he wants to complete the trip without stopping?
made
The quantity of gasoline that must be left in his tank if he wants to complete the trip without stopping is 8.5 gallons of gasoline.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x represents the quantity of gasoline.y represents the total distance.c represents the y-intercept or initial value.In this context, an equation that models the situation is given by:
y = mx + c
340 = 28x + 102
28x = 340 - 102
28x = 238
x = 238/28
x = 8.5 gallons of gasoline.
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Suppose we want to choose 2 colors, without replacement, from the 5 colors red, blue, green, purple, and yellow.
(a) How many ways can this be done, if the order of the choices matters?
(b) How many ways can this be done, if the order of the choices does not matter?
If the order of choices matter, then;
Number of ways = 20
Also, if order of choices does not matter, then;
Number of ways = 10
Total number of choices = 5
Object choices = 2
By method of permutation
Number of ways = 5! / (5-2)!
Number of ways = 5! / 3!
Number of ways = 5 x 4
Number of ways = 20
Total number of choices = 5
Object choices = 2
By method of combination
Number of ways = 5! / (5-2)! 2!
Number of ways = 5! / 3! 2!
Number of ways = 5 x 4 / 2
Number of ways = 20 / 2
Number of ways = 10
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Question : find the exact answer for the following. Then round off the first number to 100 places and the second to 10 places and estimate the answer, mention if the answer is reasonable or not.
A) 145.86 + 79.6
B) 2450.21 - 599.36
C) 922.58 - 398.99
D) 2351.85 + 89
A) 145.86 + 79.6 = 225.46
Rounding off the first number to 100 places, 145.86 becomes 145.86000
Rounding off the second number to 10 places, 79.6 becomes 79.60000
So the rounded answer is 145.86000 + 79.60000 = 225.46000
Estimated answer: 225
The answer is reasonable.B) 2450.21 - 599.36 = 1851.05
Rounding off the first number to 100 places, 2450.21 becomes 2450.21000
Rounding off the second number to 10 places, 599.36 becomes 599.36000
So the rounded answer is 2450.21000 - 599.36000 = 1851.05000
Estimated answer: 1850
The answer is reasonable.C) 922.58 - 398.99 = 523.59
Rounding off the first number to 100 places, 922.58 becomes 922.58000
Rounding off the second number to 10 places, 398.99 becomes 398.99000
So the rounded answer is 922.58000 - 398.99000 = 523.59000
Estimated answer: 523
The answer is reasonable.D) 2351.85 + 89 = 2440.85
Rounding off the first number to 100 places, 2351.85 becomes 2351.85000
Rounding off the second number to 10 places, 89 becomes 89.00000
So the rounded answer is 2351.85000 + 89.00000 = 2440.85000
Estimated answer: 2440
The answer is reasonable.
Complete the following proof.
Answer:
See proof below
Step-by-step explanation:
We will use the SAS condition for congruency of two triangles
SAS (Side-Angle-Side)
If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule.
In the two triangles ΔHIK and ΔJIK we have
m∠4 = m∠3 (given)
HK ≅ KJ
IK is the common side
So the two sides HK and IK are equal and the included angles ∠4 and ∠3 are also equal
So by SAS, the two triangles are equal
So m∠2 = m∠1
which means IK bisects ∠HIK
use the rule to complete the table below Multiply by 2 and then add 3
The values in the table are 7, 11, 15, and 19.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
We are assuming the table to be:
x value
2 2x2 + 3 = 7
4 4x2 + 3 = 11
6 6x2 + 3 = 15
8 8x2 + 3 = 19
Thus,
The values in the table are 7, 11, 15, and 19.
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`h\left(x\right)=\frac{1}{2}x-14`
`h\left(-4\right)=`
Answer:
-16
Step-by-step explanation:
[tex]h\left(x\right)=\frac{1}{2}x-14\\h\left(-4\right)=-4/2-14=-2-14=-16[/tex]
1. Cam has just completed her first year of
college, and she has decided to put her
possessions in a self-storage facility while
she's visiting her family during summer
vacation. She will be charged a flat fee of
$35.00 plus $0.45 for each day of storage. If
Cam stores her possessions for d days and
is charged a total of $63.80, which of the
following equations can be used to solve for
d?
A. 35+0.45 + d = 63.80
B. 35+0.45 = d+63.80
C. 350.45 + d + 63.80
D. 35+0.45d = 63.80
E. 35+0.45 = 63.80d
The equation that represents the given scenario is 35 + 0.45d = 63.80
What is Linear Equation:The linear equation is a mathematical statement that is solved for an unknown value. The linear equation is straight in a graph where the variable will represent an unknown value in the given problem.
To find the required equation, first calculated the charge according to the given problem and form the linear equation using the given variable.
Here we have
Cam will be charged a flat fee of $35.00 plus $0.45 for each day of storage.
If Cam stores her possessions for d days then the charge = $ 0.45d
After adding the fee the total charge will be $ 35 + $ 0.45d
Given that the total charge is $63.80
From the above calculations,
=> $ 35 + $ 0.45d = $ 63.80
=> 35 + 0.45d = 63.80
Therefore,
The equation that represents the given scenario is 35 + 0.45d = 63.80
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Question 2 1 pts In a density curve, proportion of data is represented by area above the curve area under the curve: the shape of the curve: intervals of values on the vertical axis_ intervals of values on the horizontal axis. the length of the curve: Question 3 1 pts Which ONE of the following is a correct classification of shapes of density curves? All v Symmetric Uniform Normal All - Nonsymmetric Bell = Normal AIl = Nonsymmetric Symmetric - Normal AII + Bell 7 Symmetric Normal All v Symmetric Bell v Normal All + Uniform Bell 7 Normal
In a density curve, the proportion of data is represented by the area under the curve. So option B is correct.
What is Density curve?The probability that an observation chosen at random falls within a given interval is represented by the area under a density curve, which is a smooth representation of a probability distribution. As a result, the area under the curve between the respective points is proportional to the percentage of data that falls inside a given range.
The area under the curve that directly represents the proportion of data. The intervals of values on the vertical and horizontal axes are used to plot the curve and are important for interpreting the graph, but they do not directly represent the proportion of data. The length of the curve is not relevant for determining the proportion of data, as it can vary depending on the scaling of the graph.
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Sam depositied 500$ in a new bank account correct answer
Answer:
Bank a/c Dr
To cash a/c
(Being deposited cash into bank)
a basketball player makes 80% of her free throws. what is the standard deviation of the successes from 100 free throws?
Since 80 out of 100 free throws were successful, the standard deviation of the success rate would be 8, and the standard deviation of a binomial distribution is the square root of (p*q)/n, where p is the probability of success, q is the probability of failure (1-p), and n is the total number of trials.
Standard deviation is calculated as follows:
p*q/n = 0.8*0.2/100 = 0.0016 = 0.04 = 8
Since 80% of 100 equals 80 successful free throws, the standard deviation of the successes from 100 free throws would be 8. The dispersion in a set of data is measured by standard deviation. A binomial distribution's standard deviation is equal to the square root of (p*q)/n, where p is the success probability, q is the failure probability (1-p), and n is the number of trials. Since the success rate in this instance is 80%, p = 0.8, q = 0.2, and n = 100. The standard deviation is then equal to the square root of (p*q/n): (0.8*0.2/100) = (0.0016) = (0.04), which equals 8. Therefore, the standard deviation of the successes from 100 free throws for a basketball player who makes 80% of them would be 8.
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