Both are used to understand chance and to collect and analyze numerical data.
Statistical data is used to see if conclusions are true and to make future predictions.
Answer:
The reason is that none of these latter statements accurately reflects the data. Scientific data rarely lead to absolute conclusions.
Step-by-step explanation:
What is the probability of rolling two six-sided dice and obtaining at least one 3?
what is pie
i am am confused i need
help
If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g x h)(5)
(5 – 7)^2
(5)^2 – 7
(5)^2(5 – 7)
(5 – 7)x^2
Final answer:
To find (g x h)(5), calculate h(5) first, then substitute the result into g(x) and calculate. The equivalent expression is (5)^2 - 7.
Explanation:
To solve (g x h)(5), we need to find g(h(5)). Given h(x) = x - 7 and g(x) = x^2, we first find h(5) = 5 - 7 = -2. Then, we evaluate g(-2) = (-2)^2 = 4. So, (g x h)(5) = g(h(5)) = g(-2) = 4, which corresponds to the option (5)^2 - 7.
The circle below represents a whole, or 1.use subtraction to determine the unknown part of the circle.
Find the points on the curve y = 2x3 + 3x2 − 12x + 8 where the tangent line is horizontal.
Final answer:
To find where the tangent line is horizontal on the curve y = 2x^3 + 3x^2 - 12x + 8, set its derivative to zero and solve for x, resulting in points (-2, 8) and (1, 1) where the tangent lines are horizontal.
Explanation:
To find the points on the curve y = 2x^3 + 3x^2 − 12x + 8 where the tangent line is horizontal, we look for where the derivative of the curve equals zero because horizontal tangent lines have a slope of zero. The derivative of the given function is y' = 6x^2 + 6x - 12. This derivative represents the slope of the tangent at any point on the curve.
Setting the derivative equal to zero gives us the quadratic equation 6x^2 + 6x - 12 = 0, which can be simplified to x^2 + x - 2 = 0. Factoring this quadratic equation, we get (x + 2)(x - 1) = 0, leading to two solutions for x: x = -2 and x = 1. Substituting these x-values back into the original equation gives us the y-coordinates and therefore the points on the curve where the tangent line is horizontal: (-2, 8) and (1, 1).
brad built 1/4 of a model airplane on monday and 2/3 of it on tuesday. he finished building the airplane on wednesday. what fraction of the airplane did he build on wednesday?
Graph the line by locating any two ordered pairs that satisfy the equation y = 1/4x+1
You watch a roulette wheel spin 270 consecutive times and the ball lands on a red slot each time. what is the probability that the ball will land on a red slot on the next spin
Which statements are true about the fully simplified product of (b – 2c)(–3b + c)? Check all that apply. The simplified product has 2 terms. The simplified product has 4 terms. The simplified product has a degree of 2. The simplified product has a degree of 3. The simplified product has a degree of 4. The simplified product, in standard form, has exactly 2 negative terms.
Answer:
The simplified product has a degree of 2.
The simplified product, in standard form has exactly 2 negative terms.
Step-by-step explanation:
[tex](b - 2c)(-3b + c)[/tex]
LEts multiply it using FOIL method
[tex]b* -3b= -3b^2[/tex]
[tex]b*c= bc[/tex]
[tex](-2c) * (-3b)= 6bc[/tex]
[tex](-2c) * c= -2c^2[/tex]
The product is [tex]-3b^2 +bc+6bc-2c^2[/tex]
[tex]-3b^2+7bc-2c^2[/tex]
The simplified product has a degree of 2.
It has two negative terms
Answer: The correct options are,
The simplified product has a degree of 2,
The simplified product, in standard form, has exactly 2 negative terms.
Step-by-step explanation:
Here, the given expression,
[tex](b-2c)(-3b+c)[/tex]
By distributive property,
[tex]=(b-2c)(-3b)+(b-2c)(c)[/tex]
Again by distributive property,
[tex]=b(-3b)-2c(-3b)+bc-2c(c)[/tex]
[tex]=-3b^2+6bc+bc-2c^2[/tex]
[tex]=-3b^2+7bc-2c^2[/tex]
Which is the simplified form of the given expression,
That having three terms in which two terms are negative and the degree ( The highest sum of the exponents of the variables) is 2,
Hence, the correct options are,
The simplified product has a degree of 2,
The simplified product, in standard form, has exactly 2 negative terms.
A linear cost function is c(x) = 4x + 300.what is the cost of producing one more item if 50 are currently being produced?
The cost of producing one more item is 4 if 50 are currently being produced.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The slope-intercept form is y = mx+c, where the slope is m and the y-intercept is c.
We have been given that linear cost function is C(x) = 4x + 300.
Here, the slope (4) is the cost per unit,
We have to determine the cost of producing one more item
Since 50 are currently being produced, so substitute the value of x = 51,
So the cost of producing one more item as
⇒ C(51) - C(50) = 4(51) +300 - (4(50) + 300) = 504 - 500 = 4
Therefore, the cost of producing one more item is 4 if 50 are currently being produced.
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67 times a number minus 58 is equal to 36 less than the number
To solve the equation 67 times a number minus 58 is equal to 36 less than the number, we can use algebraic manipulation to isolate the variable x. The solution is x = 1/3.
Explanation:To solve the equation, we can set up the equation as follows:
67x - 58 = x - 36
Next, we can simplify the equation by combining like terms:
67x - x = 58 - 36
66x = 22
Finally, we can solve for x by dividing both sides of the equation by 66:
x = 22/66 = 1/3Learn more about Algebra here:
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What is the square root of 98 rounded to the nearest thousandth
how do I solve for X? 37/24=7/8-5x/6
If cosθ =1/3 , then sinθ = _____.
Answer:
I'm pretty sure the answer for this is ±[tex]\frac{2\sqrt{2} }{3}[/tex]
Step-by-step explanation:
I did the assignment.
What Times 4 equals 108
weather station records the morning low temperature as −6.1°F and the afternoon high temperature as 10.5°F . Which expression represents the total temperature change, in degrees Fahrenheit, from the morning low to the afternoon high? |10.5+(−6.1)| −6.1+10.5 |10.5−(−6.1)| 10.5+(−6.1)
I am sure the answer is |10.5−(−6.1)| hope this helps and if correct give me the brainliest please
the correct answer is
|10.5-(6.1)|
I took the test
2 planes fly in opposite directions. One travels 475 mi/h and the other 525 mi/h . How long will it take before they are 6,000 mi apart
Find y when x=9 if y varies directly as the square of x and y=245 when x=7
The French Club is sponsoring a bake sale if their goal is to raise at least $140 how many pastries must they sell at $3.50 each in order to meet the goal write and solve inequality
Answer:
3.50p>(or equal to) 140; p>(or equal to)40
Step-by-step explanation:
Andrew sold 45 tickets to the school play and Sara sold 40 tickets. What is the best ratio of the number of tickets Andrew sold to the number of tickets Sara sold?
A coffee mixture has beans that sell for $0.20 a pound and beans that sell for $0.68. If 120 pounds of beans create a mixture worth $0.54 a pound, how much of each bean is used? Model the scenario then solve it. Then, in two or more sentences explain whether your solution is or is not reasonable.
35 pounds of $0.20 coffee beans and 85 pounds of $0.68 coffee beans create a 120-pound mixture valued at $0.54 per pound when mixed. Solving the system of linear equations confirms these amounts as reasonable and correct.
To solve the problem of determining how much of each type of coffee bean is used in a mixture, we can use a system of equations to model the scenario. Let's define x as the number of pounds of the $0.20 coffee beans and y as the number of pounds of the $0.68 coffee beans. Given the total weight of the mixture is 120 pounds, we can formulate our first equation:
x + y = 120
The total value of the coffee mixture is $0.54 per pound, hence the second equation representing the total value of the mixture is:
0.20x + 0.68y = 0.54(120)
By solving this system of equations, we can find the precise quantities of each type of bean used in the mixture.
Step 1: Multiply the second equation by 100 to clear the decimals for easier calculation:
20x + 68y = 54 times 120
Step 2: Solve for one of the variables, let's say x:
x = 120 - y
Step 3: Substitute x in the second equation:
20(120 - y) + 68y = 54 times 120
This simplifies to:
2400 - 20y + 68y = 6480
48y = 4080
Step 4: Solve for y:
y = 4080 / 48
y = 85
Step 5: Substitute y back into the first equation to find x:
x = 120 - 85
x = 35
If 35 pounds of the $0.20 beans and 85 pounds of the $0.68 beans are mixed together, we achieve the desired mixture weighing 120 pounds valued at $0.54 per pound. This solution is reasonable because the sum of the weights equals the total weight of the mixture, and the calculated total value per pound matches the desired value.
What is the sum of the numbers in the series? 15 + 11 + 7 + . . . + (–129)
A. -2,124
B. -2,109
C. -2,052
D. -1,995
I have the same hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4. the number is.
Hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4,then the number is 454.
What is Number system?The system which deals with numbers and decimals is called number system.
The digit at ones place=4
The digit at tens place=50
hundreds digit as ones digit=400
Therefore the number is 400+50+4
=454
Therefore if same hundreds digit as ones digit. The value of my tens digit is 50. The value of my ones digit is 4. Then 454 is the Number.
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A closet contains 10 pairs of shoes. if 8 shoes are randomly selected, what is the probability that there will be
What is 19c+26=41+14c (Steps included please)
how many different ways can you use the digit 3 and 5 to write expressions in exponential form? What are expression?
Exponential notation is used to express very large and very small numbers as a product of two numbers. We can cube the digit term in the usual way and multiply the exponent of the exponential term by 3 to write expressions in exponential form using the digit 3 and 5.
Explanation:Exponential notation is used to express very large and very small numbers as a product of two numbers. In the case of writing expressions in exponential form using the digit 3 and 5, we can cube the digit term in the usual way and multiply the exponent of the exponential term by 3. For example, if we want to write 3 to the power of 5 in exponential form, it can be written as 3³ x 5³ = 243 x 125. Therefore, there are multiple different ways to use the digits 3 and 5 to write expressions in exponential form.
Final answer:
To write expressions in exponential form using the digits 3 and 5, follow the rules of exponential arithmetic.
Explanation:
To write expressions in exponential form using the digits 3 and 5, we can follow the rules of exponential arithmetic. In exponential form, a number is written as the digit term multiplied by 10 raised to the power of the exponential term.
For example, if we want to write 35 in exponential form, we can write it as 3×105. If we want to write 53 in exponential form, it would be 5×103.
By using these rules, you can create different expressions by combining the digits 3 and 5 with different exponential terms.
A group of people have the number 12345.6789 written on a piece of paper. Then the group decides to play a game. The winner of the game is the person who can round the given number and get a number higher than any other person. Alice rounds to the nearest ten-thousand, Bob to the nearest thousand, Carol to the nearest hundred, Devon to the nearest ten, and Eugene to the nearest whole number. In addition, Felicity rounds the number to the nearest tenth, Gerald to the nearest hundredth, Harry to the nearest thousandth, and Irene rounds to the nearest ten-thousandth. Who wins the game?
Answer:
its devon
Step-by-step explanation:
Is 1,000,000 rational?
for a store contest 4 out of every 65 people who visit the store witll get a free dvd if 455 people went how many dvd's were given away?
The legs of a scalene triangle are represented by (x + 4), (x + 8), and ( 2x − 3). Which polynomial expression BEST represents the perimeter of the triangle?
Answer:
[tex](4x+9)[/tex]
Step-by-step explanation:
we know that
The perimeter of triangle is equal to the sum of the three length sides
therefore
[tex]P=(x+4)+(x+8)+(2x-3)\\ \\P=(x+x+2x)+(4+8-3)\\ \\P=(4x+9)\ units[/tex]