Carrie made a mistake in her step 3.
She was suppose to change the inequality symbols to the opposite after dividing by a negative number.
How to solve inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.
Carrie is trying to solve this inequality.
2x - 5 < 11 + 6x
add 5 t both sides of the inequality
2x - 5 + 5 < 11 + 5 + 6x
2x < 16 + 6x
subtract 6x from both sides of the inequality
2x - 6x < 16 + 6x - 6x
-4x < 16
divide both sides by -4
-4x / -4 < 16 / -4
x > - 4
Therefore, She made a mistake in the step 3.
If she is dividing both sides of an inequality by a negative number, the inequality sign will change to the opposite.
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Determine if the following are true or false: [Choose ] As n increases the t-distribution approaches the standard normal distribution. As n increases, the tails in the t- distribution become "fatter". [Choose ] [Choose ] The shape of a t-distribution depends on its degrees of freedom. [Choose ] We will always use a student'st distribution when we are given raw data to analyze, regardless if we know the population standard deviation or not. t-distributions are similar in shape to the standard normal curve. [Choose] [Choose ] We use the Student's t-distribution when we estimate the mean of a population that is normally distributed, has an unknown standard deviation, and small n.
Answer:
true i think
Step-by-step explanation:
16. The volume of a cone is one-third the area of the base times the
height. A cone has a volume of 207 cubic inches. Write an equation
that can be used to solve for the height of the cone.
Answer:
1/3 * [tex]4\pi[/tex] * h = 207, h = 155.25[tex]\pi[/tex]
Step-by-step explanation:
Since we know the area of the base is [tex]4\pi[/tex], that means the volume of the cone is:
1/3 * [tex]4\pi[/tex] * h
If we substitue, we get:
1/3 * [tex]4\pi[/tex] * h = 207
(This is the answer! If you want to solve, go below)
Now, we just solve
[tex]4\pi\\[/tex] * h = 621
h = 621/[tex]4\pi\\[/tex]
h = 155.25[tex]\pi[/tex]
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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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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Simplify the expression. negative 17 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 4 squared minus 4 and 7 tenths −4.26 −12.98 13.41 259.26
The simplified expression of the statement is -41.66
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
negative 17 plus the quantity negative 3 and seven tenths plus 9 and 15 hundredths end quantity divided by 5 all times 4 squared minus 4 and 7 tenths
Rewrite properly
So, we have
(-17 - 3.7 + 9.15)/5 * 4² - 4.7
Evaluate the sum and the difference in the expression
So, we have
-11.55/5 * 4² - 4.7
Evaluate the exponent and the quotient
-2.31 * 16 - 4.7
So, we have
-36.96 - 4.7
Evaluate
-41.66
Hence, the solution is -41.66
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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 statements correctly describes the items shown below y=9
Answer:
Both are horizontal lines.
Step-by-step explanation:
See the graph.
Y = 9 No matter what x is, y will be 9
Some points would be
(-1,9 (0,9) (1,9)
The second statement would be the equation
y = 1
No matter what x is y is 1
Some points would be
(-1,1) (0,1) ( 1,1)
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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The________ criterion is used to construct a triangle when the lengths of the three sides are given.
A. SAS
B. SSS
C. RHS
D. ASA
CEO Jason Chicola says, that the idea for Rev.com was inspired by his time at oDesk. Mr. Chicola started the site with co-founder and former oDesk colleagueJosh Breinlinger in 2010. They were joined by other MIT classmates who built this platform. Which now specializes in transcription, captions, foreign subtitles, and document translation. Rev started Temi as well.
Rev is seeking independent contractors with extensive experience in audio transcription and translation. After the projects are finished, they frequently grade the work of the employees. One needs to be quick on the keyboard, attentive, comprehend appropriate punctuation, have a solid command of language and spelling, be able to pick up the format of the transcription, and be a critical thinker in order to work with them on a consistent basis. These are the characteristics Rev is seeking for in a freelancer.
Rev.com generally serves as a liaison between businesses and freelancers. One of the jobs that may be done from home carefully screens all of its applicants. The business ensures that they only employ the best individuals for their workforce. It strives to provide independent contractors with a setting where they may develop and display their talents. They can socialize with other independent contractors as a result.
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The equation c = 10.50p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
For $0.50, you can buy 1 pound of shrimp.
For $1, you can buy 10.50 pounds of shrimp.
For $10.50, you can buy 10.50 pounds of shrimp.
For $10.50, you can buy 1 pound of shrimp.
Answer:
Step-by-step explanation:
ccccccccccccccccccccccccccccccccccccccccccccccccccc.cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccc.ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
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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the ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal. what is the square of the ratio of the short side to the long side of this rectangle?
As per the Pythagoras theorem, the ratio of the short side to the long side of this rectangle is (√5 - 1)/ 2
In math Pythagoras theorem is defined as the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
Here we have given that the ratio of the short side of a certain rectangle to the long side is equal to the ratio of the long side to the diagonal.
And we need to find is the square of the ratio of the short side to the long side of this rectangle
While we looking into the given question we have identified that the short side of the rectangle be a and let the long side of the rectangle be b.
Therefore, the diagonal, according to the Pythagorean Theorem, is
√(a²+b²)
Now we can write the equation:
a / b = b /√ a² + b²
Then we have to find the square of the ratio of a to b.
Let us consider the answer, be k.
When we squaring the above equation,
a²/ b² = b² / a² + b² = k
When we solve this one then we get the value of k = 1.
Now we have to Multiply each side of the equation by k,
=> k² = 1 - k.
And then adding each side by k,
k² + k − 1 = 0.
Now, we have to Solving for k using the Quadratic Formula,
= > k = -1 ± √[1² − 4(1)(−1)] / 2
=> k = -1±√5/2
As we know that the ratio of lengths and diagonals of a rectangle cannot be negative.
Therefore, the resulting value is √5 - 1/2
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For the binomial distribution, which formula finds the standard deviation? Choose the correct answer below: a)np b)npq c)Vnp d)Vnpa
For the binomial distribution, √npq formula finds the standard deviation.
See the image below for the complete solution to the question:
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PLEASE HELP ITS A TIMED QUESTION Evaluate 5-4 and 5-2
The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ -(5⁻⁴)(5²)
Simplify the expression, then we have
⇒ -(5⁻⁴)(5²)
⇒ -(1/5⁴)(5²)
⇒ -(5² / 5⁴)
⇒ - 25 / 625
⇒ - 1/25
The value of the numerical expression -(5⁻⁴)(5²) will be - 1/25. Then the correct option is C.
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What is the set of numbers to which √10.24 belong?
√10.24 belongs to the set of rational numbers.
Here we are given the number √10.24.
Now first we see that √10.24
= 3.2
Now as we can see that there is a number other than 0 after the decimal point here. Hence the above number cannot be classified as a natural number, a whole number, or an integer.
However, on converting 3.2 into the fractional form, we see that
3.2 = 32/10
reducing this to smallest form we get
16/5
Here we could easily represent 3.2 in the form of p/q where q is not equal to 0.
Hence p/q is a rational number.
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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
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
What is the percent of change from 134 to 106?
Round to the nearest percent.
Answer:
21%
Step-by-step explanation:
Step-by-step explanation:
1) divide 134 by 106
106/134 is about 0.79
2) Multiply by 100 to find the percentage
0.79(100)= 79%
3) Subtract 79% from 100% to find the percentage difference
100%-79%= 21%
Therefore, the percent of change between 134 and 106 is 21%.
I hope this helps! Don't forget to rate-me down below!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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Which expression finds the length of side x in this right triangle?
Answer: which triangle ;/
Step-by-step explanation:
$56,500 at 1% compounded
quarterly for 3 years
Answer:
Below
Step-by-step explanation:
Quarterly interest = .01 / 4 = .0025
periods = 4 x 3 yrs = 12
FV = 56500(1 + .0025)^12 = $ 58218 . 50
4. Car dealer Lisa Kovach paid 82% of a car's options totaling $3,098. She paid 85% on a base price of $15,480.
The destination charge was $890. What is the dealer's cost?
a. $13,158.00
b. $16,588.36
c. $18,020.36
d. $19.001.20
Part (c) is the correct option i.e. The total dealer's cost is $16588.36.
What is Percentage ?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolised as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given, Cost paid for car's options = 82 % $3,098 = $2540.36
Cost paid for base price = 85 % $15,480 = $13158.
Destination charge = $890
∴ The total dealer's cost will be :
= Cost paid for car's options + Cost paid for base price + Destination charge
= $2540.36 + $13158 + $890
= $16588.36.
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At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins. What is the expected value of x?
The expected value of x for the awarded 3 points for each coin that lands with heads faceup is 27/8.
How do you determine the likelihood of an event?Assume that there are a finite number of elementary events that are all equally likely to occur in the sample space of the experiment under consideration.Probability (E) = favourable outcome/ total outcomeIn this instance, we are informed that:
Three coins were tossed, and the result was three heads.X is the overall point total.X now has a total of 4 possible values: 0, 1, 2, and 3.The probability of each of them is calculated as:
Situation 1: No heads
That implies that all three coins must land on the tail.
Thus, there is only one method to accomplish this. While the whole range of potential outcomes is;
= 2x 2x 2
= 8
via the product rule (because each coin has two alternative outcomes).
The result is:
P(x =0) = 1/8
Situation 2: One head
Single head means three points, or X = three.
Total outcomes possible = 8,
Single head can occur in 3 different ways, as other two needs to be strictly tails.
Thus,
P(x = 3) = 2/8
Situation 3: Two heads
Two heads equals 3+3 = 6.
X = 6
8 outcomes are possible in total.
Single tail means two heads. Three separate scenarios can lead to a single tail.
Therefore,
P(x = 6) = 2/8
Situation 4: Three heads
Three heads signifies that X = 9 or 3+3+3 = 9 points.
8 outcomes are possible in total.
Three heads means there is only one way to do it and no tail.
Thus,
P(x = 9) = 1/8
As a result, the expectation of X is determined as follows:
E(x) = 0. 1/8 + 3. 2/8 + 6. 2/8 + 9. 1/8
E(x) = 27/8
Therefore, 27/8 is the expected value of X.
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If an object travels according to a distance function, d(t), and d' (c) < 0, then at t = c we know
the velocity is negative
the acceleration is negative
the velocity is positive
the acceleration is positive
If an object travels according to a distance function, d(t), and d' (c) < 0, then at t = c we know that the velocity is positive.
What is differentiation?The derivative of a function of a real variable in mathematics describes the sensitivity of the function value to a change in its argument. Calculus relies heavily on derivatives. Differentiation is a technique for determining a function's derivative. Differentiation is a mathematical procedure that determines the instantaneous rate of change of a function depending on one of its variables. The most prominent example is velocity, which is the rate of change of displacement with respect to time. Differentiation is used to calculate the rate of change of values in real time. For example, if we want to find the velocity of an automobile, we may use differentiation.
Here,
if first derivative is < 0 then, the value is positive.
If an item moves according to a distance function, d(t), and d' (c) <0, we know that the "velocity is positive" at t = c.
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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.
Rhett drove 50 miles East then 40 miles North. How many miles would Rhett have driven directly from the starting point to the end point? (Round to the nearest mile)
Answer:
[tex]\sqrt{4100}[/tex]
Step-by-step explanation:
Step 1 Substitute Using Pythagorean Theorem:
x = [tex]\sqrt{50^2+40^2}[/tex]
Step 2 Solve:
[tex]50^2=2500[/tex]
[tex]40^2=1600[/tex]
Therefore,
[tex]\sqrt{50^2+40^2}=\sqrt{4100}[/tex]
Evaluation
A family rents a truck to move from Buffalo to
Chicago. The rental has a base cost of $49.95,
plus, an additional
cost of $1.19 per mile driven.
The family also pays for gas,
which costs $3.89 per gallon.
The truck’s average gas mileage
is 18 miles per gallon.
The family decided to take a rest in Cleveland, what would be the distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85?
The distance travelled from Buffalo to Cleveland if the total cost of the move is $724.85 is 479.97
How to solve for the distance traveledThe base cost of the rental is said to be 49.95 dollars + 1.19 per mile
The cost of the gas is $3.89. The mileage of the truck is 18 miles
There would be an extra cost of
$3.89/18 per mile.
= 0.216111
In x miles we would have the equation that is written as:
C(x) = 49.95 + (1.19 + 0.21611)x
C(X) = $724.85 this is the total cost. Hence we would have
$724.85 = 49.95 + 1.19x + 0.21611x
$724.85 - 49.95 = 1.40611x
674.9 = 1.40611x
divide through by 1.40611
674.9 / 1.40611 = x
x = 479.97
The distance traveled is 479.97
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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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A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro takes the balls to the driving range and hits the 40 new-style golf balls first and then the 40 original-style golf balls. The distance each ball travels is recorded. At the end of the session, the mean distance traveled for the new type of golf ball was found to be significantly greater than the mean distance for the original-style golf ball.
Which of the following is a valid conclusion?
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day, and a conclusion cannot be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that new-style golf balls travel farther than the original type of golf ball for this golf pro.
answer is B got it right
A valid conclusion is that;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
How to find the inference from the sample?An inference is defined as a conclusion that is reached based on certain pieces of evidence
In this sample research, we can see that randomization and replication conditions are met. This s because the balls are randomly selected and as such, the distance of the new ball can be compared to the distances of the original ball.
Therefore, a valid conclusion is written as;
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that new-style golf balls travel farther than the original-style of golf ball for this golf pro.
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