In a probability histogram, there is a correspondence between area and probability. Hence, option D is the right answer.
An histogram shows the variation in a variable over time. There are a certain number of samples in each category: this is called the frequency distribution. The number of children born according to their birth gender, such as males or females.
Probability histogram
A probability histogram is a histogram with probabilities on the y-axis and all the possible values on the x-axis. They represent chance. The area above a class interval represents the chance of that class interval.
A probability distribution shows the probabilities related to all possible outcomes of an event.
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The complete question is-
Fill in the blank.
In a probability histogram, there is a correspondence between--------------
A. volume and probability
B. area and volume
C. variation and area
D. area and probability
2+4/5-3/20
could anyone possibly help me with this equation? If yes, i would be very grateful towards you! thank you!
Answer:
2 13/50
Step-by-step explanation:
gogle
On solving the expression 2 + (4/5) - (3/20), we get 53/20.
What is expression in mathematics?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.Given is the expression -
2 + (4/5) - (3/20)
The given expression is -
2 + (4/5) - (3/20)
Now, solving further, we get -
2 + (4/5) - (3/20)
2 + 4/5 - 3/20
(40 + 16 - 3)/20
53/20
Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.
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On Friday night, Cassie ate a pizza for dinner and had 5/6 of the pizza left over. On Saturday,
she ate 1/3 of what was left. How much of the pizza did Cassie eat on Saturday?
The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.
Given that;
On Friday night, Cassie ate a pizza for dinner and had 5/6 of the pizza left over.
And, On Saturday, she ate 1/3 of what was left.
Now,
Since, On Saturday, she ate 1/3 of what was left.
Hence, The amount of the pizza did Cassie eat on Saturday is;
⇒ 5/6 - 1/3 of 5/6
⇒ 5/6 - 1/3 × 5/6
⇒ 5/6 - 5/18
⇒ 15/18 - 5/18
⇒ 10/18
⇒ 5/9
Thus, The amount of the pizza did Cassie eat on Saturday will be 5/9 of pizza.
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Luke has blue and red ballsEvery day he wins 2 blue balls and loses 3 red onesAfter 5 days he has the same amount of blue and red ballsAfter 9 days, he has twice as many red balls as blue ballsHow many red balls did he have at the beginning?
The number of red balls Luke has at the start is 47.
blue ball per day = 2
red ball per day = -3 ('-' ve sign as he is loosing them)
let the number of red balls be represented by r
let the number of blue balls be represented by b
after 5 days
b+ 10 = r -15 -(i)
After 9 days
b + 18 =2(r-27)-(ii)
subtracting (i) from (ii)
b + 18 - b - 10 = 2r - r - 54 +15
8 = r - 39
r = 39 + 8
r = 47
The number of red balls Luke has at the start is 47
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Find the sum of ten terms of the G. P 1,1.3,1.69
Answer:
Sum of G.P. series is given by,
Sum=
r−1
a(r
n
−1)
when r>1
Where a= first term, n=n
th
term and r is common ratio.
Here, a=1,n=10,r=
3
S
10
=
(
3
−1)
1×{(
3
)
10
−1}
=
(
3
−1)
(3
5
−1)
×
(
3
+1)
(
3
+1)
=
(3−1)
242(
3
+1)
=121(
3
+1).
determine if the following is a olap, classification, or regression model. dollar general sends out a $5 off coupon to its email subscribers. what percentage of customers between 20 and 30 years of age who lived within 5 miles of the store used the coupon?
Classification model
What is Classification model?
A subset of supervised machine learning is classification models. A categorization model takes in some input and produces an output that categorises the input. For instance, after reading an email, a model may binary identify it as spam or not.
This is a classification model. This is a categorization model because we are categorising people here according to their age and location.
A categorization model takes in some input and produces an output that categorises the input.
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which of the following is like a standard deviation for all error scores in regression?
The standard error of the estimate is like a standard deviation for all error scores in a regression.
The standard deviation of the sample distribution is referred to as the standard error in statistics. In most cases, the sample mean of a data set differs from the actual population mean. SE is used to denote it. It is used to gauge how well a sample of a population represents that population.
The measure of the sample mean of the population is expressed as the standard deviation of the measure of the standard error of the mean, also known as the standard deviation of the mean. It is referred to as SEM. For instance, the sample mean typically serves as an estimator of the population mean. However, if we take yet another sample from the same population, it can yield a different result.
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A new bank customer with $3500 wants to open a money market account. The bank is offering a simple interest rate of %1.1
How much interest will the customer earn in 10 years?
The interest that will the customer earn in 10 years is $385.
What is simple interest?
Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate.
Simple interest has a constant principal amount. Simple interest is a straightforward and easy technique for calculating interest in money. Interest is always applied to the initial principal amount under the simple interest method, and the rate of interest is the same for each time cycle. When we deposit money in a bank, the bank pays us interest on our investment. Banks charge various sorts of interest, one of which is simple interest.
The customer deposit $3500 when he opens the account.
The interest rate of the bank is 1.1% = 0.011.
He deposits the amount for 10 years.
The formula of simple interest is I = PRT.
I = 3500 × 0.011 × 10
I = 385
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what is the purpose of the permutation test? group of answer choices for hypothesis testing of mean, median, and quartiles, it is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles, it is used to synthesize the sampling distribution under the null
Permutation test is used to synthesize the population distribution of the statistic of interest for hypothesis testing of mean, median, and quartiles
An estimation of the population distribution—the distribution from which our observations originated—is the goal of a permutation test. We can then calculate how uncommon our observed values are in comparison to the population.
I find the permutation test to be more natural, and it only relies on the assumption of random assignment of treatment groups.
In a permutation test, you compare the observed test statistic to the distribution of values
you get when the treatment group assignments are shuffled/randomized/permuted.
The null hypothesis that two distinct groups originate from the same distribution is tested using permutation tests, also known as exact tests, randomization tests, or re-randomization tests. A permutation test can be used for hypothesis testing or significance testing (including A/B testing) without requiring any presumptions to be made about the distribution of the samples, such as that the samples must be normally distributed.
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a farmer plans to fence a rectangular field adjacent to a river. the field must contain 125000 square meters in order to have enough space for his crops. no fencing is needed along the river. what is the minimum amount of fencing that will be needed?
On solving the provided question we got to say that - 500 meters long, and 250 meter wide
What is derivative?Differentiation is the rate at which a function changes with regard to a variable in mathematics (in mathematics, the rate of change of a function with respect to a variable). Problems involving calculus and differential equations need the use of derivatives.
125000 square meters of area = l X w is = length times width
[tex]l=125000/w[/tex]
Fencing =[tex]Perimeter = P = L+2W= 125000/W +2W[/tex]
Now,
derivative set = 0
P'(X) = 2 -125000/W^2 = 0
[tex]2W^2 = 125000\\ W^2 = 62500\\ W = 250meters wide[/tex]
[tex]L =125000/250= 500 meters long, the side parallel to the river[/tex]
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HELP PLEASE I NEED THIS DONE IVE BEEN WORKING FOR TO LONG ALREADY
The expressions have, the first expression has degree 5, end behavior to ± infinite terms , zeros are h = 0, -1/2 , -1/2, 11 , 11 and 2 multiplicity -1/2 and 11 and sketch is drawn in image 1. And second expression has degree 4, end behavior to + infinite terms , zeros are x = 0,0, 3,-3. , 2 multiplicity of 0 and sketch is drawn in image 2.
What is a polynomial?An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
Given that the expression ;
T(h) = h (2h + 1)²(h - 11)² and D(x) = 3x⁴ - 27x²
Now for the first expression T(h) = h (2h + 1)²(h - 11)²
Simplifying, the expression;
T(h) = h (2h + 1)²(h - 11)²
Degree of the highest polynomial of above expression is 5.
To find end behavior, we will find the factors of expression;
T(h) = h (2h + 1)²(h - 11)²
Here, h = 0, (2h + 1)² = 0 , (h - 11)²= 0
h= 0 , h = -1/2 , -1/2 and h = 11 , 11
Multiplicity of -1/2 is 2 and 11 is 2.
End behavior, given expression has 2 pair of repeated roots.
And (2h + 1)² ≥ 0 , (h - 11)²≥ 0
So the expression behavior depends on the term h alone.
And also it is an even polynomial.
So the graph of expression varies to infinity term for both positive and negative.
Zeros of the polynomial are h = 0, -1/2 , -1/2, 11 , 11.
Sketch 1,
Now for the second expression D(x) = 3x⁴ - 27x²
Simplifying, the expression;
D(x) = 3x⁴ - 27x²
Degree of the highest polynomial of above expression is 4.
To find end behavior, we will find the factors of expression;
D(x) =3x²(x+3)(x−3)
Here, x = 0,0, 3,-3.
Multiplicity of 0 is 2.
End behavior, it is an odd polynomial. So the graph of expression varies to positive infinity.
Sketch 2,
Therefore, the first expression has degree 5, end behavior to ± infinite terms , zeros are h = 0, -1/2 , -1/2, 11 , 11 and 2 multiplicity -1/2 and 11 and sketch is drawn in image 1. And second expression has degree 4, end behavior to + infinite terms , zeros are x = 0,0, 3,-3. , 2 multiplicity of 0 and sketch is drawn in image 2.
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Cumulative algorithm can only be used with primitive data typesGroup of answer choicesTrue False
Cumulative algorithm can only be used with primitive data types . True
What are cumulative algorithm and primitive data?The emphasis here is to understand the difference and uses of the cumulative algorithm and primitive data type.
The cumulative algorithm is defined as a sequential analysis method which is used to monitor changes in data
Primitive data type is used to predefine operations of a programming language.
The relationship between the two is that both of them are used to organize data in the memory
In conclusion, Cumulative algorithm can only be used with primitive data types
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If a water faucet drips at a rate of one drip per minute and a drip from a faucet is ¼ mL, how many ounces of water would be wasted in one day?
The number of ounces of water that would be wasted in one day is 12.173 ounces.
What is a ratio and proportion?An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls) 40% are girls, and 14% are boys. The ratio formula is written as a: b a/b for any two numbers. Contrarily, the percentage formula is written as a:b::c:da:b::c:da:b=cd.
Given,
The faucet drips per every minute.
1 min -------1/4 ml
for 60 min -----?
x=(1/4)×60
x=15 ml
For one day,
15 ml×24 hours=360 ml
Therefore, 360 ml=12.173 ounces.
Hence, the number of ounces of water that would be wasted in one day is 12.173 ounces.
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a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the value of the test statistic is\
The value of test statistics as calculated from the given data is 0.092.
p = 1 - P(Z < Z')
Z' = (8200-8000)/ (1500/√100)
Z'= 1.3
p = 1 - P(Z < Z')
= 1 - P(Z < 1.3)
= 1 - 0.908
= 0.092
The Z-score, also known as the standard score, indicates how far a data point deviates from the mean. It represents the number of standard deviations an element has from the mean. As a result, the Z-Score is expressed in terms of standard deviation from the mean.
A z score is a statistical measurement that indicates how far a raw score deviates from the mean of a distribution. A z score is used in a z test to test hypotheses. It is also used in prediction intervals to calculate the likelihood of a random variable falling between two values.
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What is half of 1 1/3 cups?
Answer:
2/3
Step-by-step explanation:
4/3 or 1 1/2 divided by 2 is equal to 2/3
362.4 x 16 - 2t + 83t x (2 - 10t)
Using PEDMAS to simplify the expression, the result is -830t² + 164t + 5798.4
Simplification of ExpressionsTo solve this problem, we have to simplify the expression. This is a process of breaking it down from a complex form to the least possible form. In doing this, we often apply mathematical operations such as multiplication, addition, subtraction etc.
In the expression 362.4 * 16 - 2t + 83t * (2 - 10t)
Let's apply PEDMAS here
362.4 * 16 = 5798.4
83t (2 - 10t) = 166t - 830t²
We can bring them together now;
5798.4 - 2t + 166t - 830t²
Collecting like terms
-830t² + 164t + 5798.4
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HELP PLEASE I NEED THIS AS SOON AS POSSIBLE!!!
Sixteen-year-old Janet has earned money the last few years by babysitting and shoveling snow for neighbors, who pay her in cash which she mostly spends on clothes and snacks. This summer she is applying for her first formal job, and because she’ll be paid by check or direct deposit, her parents are allowing her to open a checking account. Janet is excited, until she does some quick Googling and finds out she can’t legally open an account until she’s 18. She finds these other options:
Joint accounts
Custodial accounts
Education
Prepaid Cards
Answer This:
Which of these four banking options is probably best for Janet? Why?
Now that Janet knows her parents will need to be somewhat involved in her bank account, what questions or concerns should she raise with them before they open an account?
The best option for Janet will be to open an educational account.
The basic structure of student bank accounts is frequently the same as that of the institution's standard offerings, with adjustments made for students' typically lower amounts.
These organisations may remove maintenance fees or minimum balance requirements, provide free ATM withdrawals, offer budgeting apps or programmes, or even waive fees altogether because students are still learning how to manage their finances and navigate their daily financial lives.
Some benefits of educational account is
Interactive spending and budgeting options, such as the ability to round up and deposit "spare change" from debit card purchasesAccount remains open following graduationOverdraft defenseTo learn more about bank
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Are of the square is 49 sq. ft
Find the value of x.
Answer: x=2
Step-by-step explanation:
Area of square = s^2
So we know that (2x+3)^2 = 49
We get rid of the square root first
2x + 3 = 7
2x = 4
x = 2
solve using the quadratic formula
show all work
These are separate equations
x^2+3x-4=0
2x^2-4x-3=0
The solutions of the equation x² +3x - 4=0 are x=1 and x= -4 .
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
Given equation:
x² +3x - 4=0
Standard form of a quadratic equation:
ax² +bx+c=0
On comparing, a=1, b= 3, c= -4
Quadratic formula:
x = [ -b ± √(b² - 4ac ) ] /(2a)
Substitute the values
x = [ -3 ± √(3² - 4*1*(-4) ) ] /(2*1)
x= [ -3 ± √(9 + 16 ) ] /(2)
On simplifying,
x=1 and x= -4
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How many solutions can be found for the linear equation 4(2x+3)=2(4x+6)
Answer:
All real numbers are solutions
Step-by-step explanation:
Open the bracket
4(2x+3)=2(4x+6)
8x +12=8x +12
8X-8X=12- 12
=0
The equation is an identity hence, all real numbers are solutions(1,2,3,4 etc)
The equation 7.50h+50/4h=18h+33 represents a possible constraint about a situation
A. Solve the equation and check your solution
The equation 7.50h + 50/4h = 18h + 33 which represent a possible constraint about a situation gives the value of h as 16.5
Hiw to solve equation?
7.50h + 50/4h = 18h + 33
Collect like terms
7.50h + 50/4h - 18h = 33
7.50h + 12.5h - 18h = 33
2h = 33
divide both sides by 2
h = 33/2
h = 16.5
In conclusion, the value of h from the given equation is 16.5
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Name the triangle whose sides measure 18 cm, 22 cm, and 18 cm.
Answer: An ISOSCELES triangle.
Step-by-step explanation:
It has two sides of equal length.
The angles opposite to the equal sides are also equal in measure.
What is 11/32 - 2/8?
Answer:
= 3/32
Step-by-step explanation:
What is 11/32 - 2/8?
11/32 - 8/32 = 3/32
in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens. give a 95% confidence interval for percent of american adults who believe in aliens.
A 95% confidence interval for percent of american adults who believe in aliens: (0.6578, 0.7822)
In this question we have been given that in a survey conducted on an srs of 200 american adults, 72% of them said they believed in aliens
We need to find the 95% confidence interval for percent of american adults who believe in aliens.
95% confidence interval = (p ± z√[p(1 - p)/n])
Here, n = 200
p = 72%
p = 0.72
And the z-score for 95% confidence interval is 1.960
The upper limit of interval would be,
(p + z√[p(1 - p)/n])
= 0.72 + 1.960 √[0.72(1 - 0.72)/200]
= 0.72 + 1.960 √[(0.72 * 0.28)/200]
= 0.72 + 1.960 √0.001008
= 0.72 + 0.0622
= 0.7822
The lower limit of interval would be,
(p - z√[p(1 - p)/n])
= 0.72 - 1.960 √[0.72(1 - 0.72)/200]
= 0.72 - 1.960 √[(0.72 * 0.28)/200]
= 0.72 - 1.960 √0.001008
= 0.72 - 0.0622
= 0.6578
Therefore, a 95% confidence interval = (0.6578, 0.7822)
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Please help
Select the correct answer.
For which quotient is = 7 an excluded value?
On solving the provided question, we can say that the root of the equation [tex](x^2 - 10x+21)(x+7)=0[/tex]are x= -7,+7,3
What is equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic basic theorem ensures that it has at least one solution. Real or complicated solutions are both possible.
Set the denominator to 0
[tex](x^2 - 10x+21)(x+7)=0\\(x^2-7x-3x+21)(x+7)=0\\(x(x-7)-3(x-7))(x+7)=0\\(x-7)(x+7)(x-3)=0\\ (x-3)(x^2 - 7^2)=0\\x= -7,+7,3[/tex]
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Millie has a bank account balance of $1,497. Each week, her balance changes by −$83. She wants to keep the balance above $750. How many weeks will Millie's balance remain above $750? Millie's account balance will remain above $750 _______ area weeks. 75 points
Answer: 9 weeks
Step-by-step explanation:
Let x be the number of weeks
So the equation will be
1497 - 83x < 750
Subtract 1497 on both sides
-83x < -747
x < 9
So the answer is 9 weeks
Point W is located at (-2, 3) on a coordinate plane. Point W is reflected over the x-axis to create
point W. Point W' is then reflected over the y-axis to create point W". What ordered pair
describes the location of point W"?
Answer Point W" C
Explain how you determined your answer.
The required coordinate pair for W" is (2,-3)
What is reflection of the point?When a point is reflected over axes, its position changes and sign of coordinates also change.
Given that, Point W is located at (-2, 3) on a coordinate plane. Point W is reflected over the x-axis to create point W'. Point W' is then reflected over the y-axis to create point W".
When a point is reflected over the x-axis, then we know,
(x, y) = (x,-y)
W(-2,3) = W (−2,−3)
And,
When a point is reflected over the y-axis, then we know,
(x, y) = (-x, y)
Therefore, W'(-2,-3) = W" (2,-3)
Hence, the coordinates of the point W" are (2,-3)
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7/4 of a number is 66 what is the number
Answer:
7x/4 = 66
(7/4)x = 66
x = 66 × (4/7)
x = 264/7
in decimal x = 37.714(apprx.)
7. a hot air balloon travels 40 miles against the wind in the same amount of time that it travels 200 miles with the wind. if the speed of the wind is 20 mph, how fast does the hot air balloon travel against the wind?
The hot air balloon travels 40 miles against the wind in the same amount of time that it travels 200 miles with the wind. Therefore, the rate of the hot air balloon against the wind is 40 miles/200 miles x 20 mph = 8 mph.
1. Calculate the ratio of the distance traveled against the wind compared to the distance traveled with the wind: 40 miles/200 miles = 0.2
2. Multiply the ratio by the speed of the wind: 0.2 x 20 mph = 4 mph
3. The speed of the hot air balloon against the wind is 8 mph.
The hot air balloon is able to travel at a speed of 20 mph when the wind is in its favor. However, when the wind is not in its favor, the hot air balloon must travel against the wind, drastically decreasing its speed. In the same amount of time, the hot air balloon was able to travel 40 miles against the wind while it was able to travel 200 miles with the wind. To calculate the speed of the hot air balloon against the wind, we can use the following formula: Speed = (Distance against the wind/Distance with the wind) x Speed of the wind. In this case, the ratio of the distance traveled against the wind compared to the distance traveled with the wind is 40 miles/200 miles = 0.2. When we multiply this ratio by the speed of the wind, which is 20 mph, we get 4 mph. Therefore, the rate of the hot air balloon against the wind is 8 mph.
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2.5 kg cost £1.40
work out the cost of 4.25kg
Calculating the cost of 4.25 kilogram(kg) is £2.38, by multiplying it by 4.25 kg by 1 kg.
CostCosts are the expenses incurred in the manufacture, marketing, or preparation of a good or asset for regular use. In other terms, it's the cost incurred to produce a good, buy inventories, sell goods, or prepare equipment for use in a commercial activity.
Given,
2.5 kg cost £1.40 i.e,
2.5 kg = £1.40
For 1 kg= [tex]\frac{1.40}{2.5}[/tex]
= £0.56
To find the cost of 4.25 kg:
Then,
1 kg = £0.56
4.25 kg = 0.56 x 4.25
= £2.38
£2.38 is the cost of 4.25kg after calculating it.
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A commuter travels to work using a city bus. The function f(t)=−600t+12,000 represents the distance remaining, in meters, after t minutes of riding the bus.
What does −600 represent in the function f(t)?
Responses
the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
the slope of the function and the initial number of meters remaining when t=0
the slope of the function and the initial number of meters remaining when t = 0
the y-intercept of the function and the change in distance remaining, in meters per minute, of riding the bus
the y -intercept of the function and the change in distance remaining, in meters per minute, of riding the bus
the y-intercept of the function and the initial number of meters remaining when t=0
the y -intercept of the function and the initial number of meters remaining when t = 0
The interpretation of -600 is (a) the slope of the function and the change in distance remaining, in meters per minute, of riding the bus
How to interpret -600 in the equation?From the question, we have the following parameters that can be used in our computation:
f(t) = -600t + 12000
A linear equation is represented as
y = mx + c
Where
Slope = m
When the equations are compared, we have
m = -600
This means that
Slope = -600
So, the interpretation of -600 is the slope
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