By distributing the division, we will get the simplified expression:
(3/2)*x² + 2
How to simplify the quantity?Here we have the following quadratic expression:
(9x² + 12)/6
Remember that the division is distributive, then we can rewrite:
(9x² + 12)/6 = 9x²/6 + 12/6
Now we can just simplify the two fractions.
(9x² + 12)/6 = (9/6)*x² + 2
= (3/2)*x² + 2
This is the most we can simplify the given expression.
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A group of marketing students at a large university wants to determine the proportion of first year students who use certain types of social media. The students want their estimate to be within 0.03 of the true proportion with a 95% level of confidence. Two years ago, a similar study determined the proportion to be 0.796. How large of a sample is required
The required sample size is 694.
Given a student wants to make a guess within 0.03 of the true ratio with a 95% confidence level.
Margin of Error, E = 0.03
significance level α=0.05 {95% confidence}
A given estimate of the percentage of population p is p = 0.79.
The critical value for the significance level α = 0.05 is Zc = 1.96. This can be determined using either Excel or a normal probability table.
Use the following formula to calculate the minimum sample size required to estimate the percentage of population p within the required margin of error.
n≥p(1-p)(Zc÷E)²
n=0.796×(1-0.796)(1.96÷0.03)²
n=693.1016
Therefore, the resample sizequired to meet the condition is n ≥ 693.1016 and must be an integer. From this, we conclude that the minimum sample size required is n = 694.
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how do i solve 7 - n = 27
Answer:
n=-20
Step-by-step explanation:
A study was completed in California. In northern California, the study involved 1,000 patients; 74% of them experienced flulike symptoms during the month of December. The study had a margin of error of 3.2%. What does that mean for the study?
Group of answer choices
A. The confidence interval is between 12.1% and 236.8%.
B. The confidence interval is between 70.8% and 77.2%.
C. The confidence interval is between 67.6% and 80.4%.
D. The confidence interval is between 71% and 77%.
NEED HELP FAST
The correct answer is (D) The Confidence interval is between 71% and 77%.
The margin of error in a study represents the amount of error that is acceptable in the results due to the sample size and the variability of the data. It is an estimate of how much the sample proportion may differ from the true population proportion.
In this study, the margin of error is 3.2%, which means that the true proportion of patients experiencing flulike symptoms in northern California during December could be as much as 3.2% higher or lower than the sample proportion of 74%.
To determine the confidence interval for the study, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
Plugging in the values, we get:
Confidence Interval = 0.74 ± 0.032
Simplifying, we get:
Confidence Interval = (0.708, 0.772)
Therefore, the correct answer is (D) The confidence interval is between 71% and 77%.
It's important to note that plagiarism is not acceptable and is a violation of academic integrity. When answering questions or completing assignments, it's important to use your own words and understanding of the concepts. If you need help or guidance, there are resources available such as textbooks, online tutorials, and tutors that can assist you in learning and understanding the material.
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Please HELP ASSSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
There are 96 more freshmen than juniors. the answer is D: 96
Step-by-step explanation:
28% and 22%
28 - 22 = 6
6% of 1,600 = 96
6% = 0.06
0.06 x 1,600 = 96
There are 96 more freshmen than juniors.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
Please help, I don’t understand.
To find the answers, you basically have to use trial and error. I'm not sure how else to find them.
Anyways, grouping up "6+12" as one group and "2^2-2+1" as the other leads to
\((6+12) \div (2^2-2+1) = 18 \div 3 = 6\)
-----------------------------
For the next problem, you'll need 2 sets of parenthesis, but this time one set of parenthesis is inside another one. The (6+12) becomes 18, which divides by 2 to get 9. Squaring that leads to 81 and then you subtract off 1 to get 80.
\(( (6+12) \div 2)^2 - 2 + 1 = (18\div 2)^2 - 1 = 9^2-1 = 81-1 = 80\)
Expand and Simplify:
4(x+3) + 6(x+2)
Answer:
10x + 24
Step-by-step explanation:
distribute first to remove parentheses:
4x + 12 + 6x + 12
now combine 'like terms':
10x + 24
Answer:
10x + 24
Step-by-step explanation:
Expand the brackets by multiplying each term in the bracket by the expression outside the bracket:
4(x + 3) + 6(x + 2) = 4x + 12 + 6x + 12
Gather like terms:
4x + 6x + 12 + 12
Combine like terms:
10x + 24
Help please! You'll get 40 points :D
Answer:
840.89+928= 1768.89
74.4 / 0.8= 93
Step-by-step explanation:
I hope this helps <3
Answer:
The difference:
128.04 - 8.287 = 119.753The product:
1389 × 6.58 = 9139.62The sum:
840.89 + 928 = 1768.89The quotient:
74.4 ÷ 0.8 = 93Solve the system of equations by the addition method.
4x + 5y = 39
(3x – 2y = − 11
The value of x = 1, y=7
From the question, we have
4x + 5y = 39 .............(i)
3x – 2y = − 11 ...........(ii)
multiply equation (i) by 2, we get
8x + 10y = 78 .............(iii)
multiply equation (ii) by 5, we get
15x – 10y = −55 .............(iv)
adding equation (iii) and equation (iv), we get
23x = 23
x = 1
substituting the value in equation (iii), we get
y = 7
Addition:
When we say "the addition," we mean adding two or more numbers together. The plus sign (+) denotes addition of two numbers, therefore three is written as three plus three. You also have control over how often the plus sign (+) is used. such as 3 + 3 + 3 + 3. Mathematical addition is an essential part of children's education. Students learn basic addition sums in primary school, including one-digit facts, math addition sums, and double-digit math addition sums. Sums in addition are one of the most fundamental and fascinating Math concepts for elementary school students. Children first learn fundamental mathematical ideas like adding numbers in their early years because math is an enthralling subject.
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2. Solve for x.
X
41°
54
41°
W
6x + 6
Answer:
since angles x and y are equal, then sides WX and WY should also be equal
x=8
Step-by-step explanation:
54=6x+6
48=6x
8=x
Solve m+18+23=71
PLZZZZZ I NEED THE ANSER PLZZZ
Answer:
m + 18 + 23 = 71
m + 41 = 71
m = 71 - 41
m = 30
Answer:
30
Step-by-step explanation:
m+18+23=71
m+41=71
m=71-41
m=30
Two types of memberships are available for a water park
an unlimited use membership for $70 per month, or
a monthly $10 fee plus $5. 00 per visit
enter an equation that can be used to find the number of visits (v) per month needed for the two membership types to cost the same amount
Answer:
10+5v=70
Step-by-step explanation:
this is because you need to consider the outright monthly cost of $10 first. then you don't know how many visits you'll need so you have to fill in v and multiply it by the cost per visit. and it must equal 70 so that it is equal to the other membership.
The equation 70 = 10 + 5v is used to determine the number of visits per month needed for two membership types to cost the same. Solving the equation would provide that 12 visits a month will make both memberships cost the same.
Explanation:The subject of this question is Mathematics, and it is related to the topic of linear equations. Given the problem, we know that there are two types of membership options:
An unlimited use membership for $70 per month. This can be represented as: Y = 70, A membership that costs a monthly $10 fee plus $5 per visit. This can be represented as: Y = 10 + 5v.Here, Y represents the total cost of the membership each month and v represents the number of visits to the water park per month. You can set these two equations equal to each other in order to find the number of visits (v) needed for the two membership types to cost the same amount:
70 = 10 + 5v
You solve the equation for v to get: v = (70 - 10) / 5 = 12
Therefore, it would take 12 visits per month for both memberships to cost the same.
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Watch help video Find the length of the third side. If necessary, write in simplest radical form. 7 4√2
In simplest radicle form, the length of the third side = 9 units.
Given,
Side A = 7 units.
Side B = 4√2 units.
To find Side C, we use the Pythagorean formula,
a² = b² + c²
7² = \(4\sqrt{2}^{2}\) + c²
c² = 49 + 32
c² = 81
√c² = √81
c = -9,9.
c ≠ -9 as negative values are not considered for dimensions.
Hence, the length of the third side is 9 units.
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Your question is incomplete. The complete question is:
With reference to the figure below, find the length of the third side. If necessary, write in the simplest radical form.
5) Max makes $245 each week from his part-time job. He works from 6am
until 9am Monday through Friday. Each morning, on his way into work
work, he spends $4 on coffee. What fraction of Max's weekly income is
spent on coffee?
Answer:
4/49
Step-by-step explanation:
1 week : 5 working days
5*$4= $20
20/245= 4/49
Which are true and which are false?
The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.
What is the Volume of a Cone and Volume of a Cylinder?The volume of cone (V) = 1/3 * πr²h
Volume of cylinder (V) = πr²h
Where, r is the radius of their bases.
The base area formula for the cone = πr²
Calculate the area of the base of the cone that has a radius (r) of 2.5 in:
Area of the base of the cone = π(2.5)² ≈ 19.6
The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5
≈ 42.5 cubic inches
Volume of cylinder (V) = πr²h = π * 2² * 4
≈ 50.3 cubic inches
The difference in volume = 50.3 - 42.5
= 7.8 ≈ 8 cubic inches
Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.
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TRUE / FALSE. roofs having a span of 40 feet or less and a pitch of ? or greater, and roofs having a span of more than 40 feet and a pitch of 1/4 or greater are considered to be pitched.
The statement is true. Roofs with a span of 40 feet or less and a pitch of ? or greater, as well as roofs with a span of more than 40 feet and a pitch of 1/4 or greater, are considered to be pitched.
In roofing terminology, the pitch refers to the steepness or slope of a roof. A pitched roof has a slope that allows water to drain efficiently. The pitch is typically measured as a ratio of vertical rise to horizontal span.
According to the statement, roofs with a span of 40 feet or less and a pitch of ? (undefined or not specified) or greater are considered to be pitched. This means that as long as the roof has a certain degree of slope or steepness, it is categorized as a pitched roof.
Similarly, roofs with a span of more than 40 feet and a pitch of 1/4 or greater are also considered to be pitched. In this case, the requirement for a minimum pitch of 1/4 (or a steeper slope) applies to roofs with a larger span.
The classification of roofs as pitched or not pitched depends on their span and the minimum pitch requirements specified. Roofs that meet the specified criteria for span and pitch are considered to be pitched roofs.
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Your parents took your family out to dinner . Your parents want to give you the server a 15% tip . If the total amount of the dinner was $42.00 , what will be the amount of the tip ?
Answer:
The tip will be $6.30
Help pleasssere!!!!!!!!!!!
Step-by-step explanation:
I hope it helps...I just put it in point slope form
can someone help me w this angle side relationships in triangles geometry question
The order of the side lengths of triangle FGH, from smallest to largest, is given as follows:
FH < FG < GH.
What is the law of sines?The law of sines states that the sine of each angle is proportional to the side length opposite the angle.
The angle measures for the triangle are given as follows:
m < G = 31º -> hence the opposite side FH is the smallest side.m < H = 35º -> hence the opposite side FG is the second smallest side.m < F = 180 - (31 + 35) = 114º -> as the sum of measures of the internal angles of a triangle is of 180º.More can be learned about the law of sines at brainly.com/question/4372174
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Arrange in ascending, then
descening order
Answer:
Ascending: 6.0123, 6.0321, 6.321, 6.331, 60.123
Descending: 60.123, 6.331, 6.321, 6.0321, 6.0123
Find the equation of the tangent line to f(x)=−4x^1/2+x^-1 -3 at the point (4,− 43/4).
The equation of the tangent line to f(x) at the point (4, -43/4) is 4y = -17x + 25.
To find the equation of the tangent line to the function f(x) = -4x^(1/2) + x^(-1) - 3 at the point (4, -43/4), we can use the point-slope form of a line.
First, let's find the derivative of f(x) to obtain the slope of the tangent line at any point on the curve:
f(x) = -4x^(1/2) + x^(-1) - 3
f'(x) = (-4)(1/2)x^(-1/2) + (-1)(x^(-2))
= -2x^(-1/2) - x^(-2)
= -2/sqrt(x) - 1/x^2
Now we can find the slope of the tangent line at x = 4 by evaluating f'(4):
f'(4) = -2/sqrt(4) - 1/4^2
= -2/2 - 1/16
= -1 - 1/16
= -17/16
So the slope of the tangent line at the point (4, -43/4) is -17/16.
Now we can use the point-slope form of a line to find the equation of the tangent line:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is the given point (4, -43/4) and m is the slope (-17/16).
Substituting the values into the equation:
y - (-43/4) = (-17/16)(x - 4)
Simplifying:
y + 43/4 = (-17/16)(x - 4)
Multiplying both sides by 4 to eliminate fractions:
4y + 43 = -17(x - 4)
Expanding and rearranging:
4y + 43 = -17x + 68
4y = -17x + 25
The equation of the tangent line to f(x) at the point (4, -43/4) is 4y = -17x + 25.
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Does someone mind helping me with this problem? Thank you!
Answer:
y = 7x+13
Step-by-step explanation:
y = 7x+3
Lines that are parallel have the same slope, and this line is in slope intercept form, y = mx +b where m is the slope.
The slope is 7
y = 7x+b
Using the given point ( -3,-8) and using point slope form, y-y1 = m(x-x1) where (x1 and y1) is the point and the line
y- -8 =7(x--3)
y+8 = 7(x+3)
Distribute
y+8 = 7x+21
Subtract 8 from each side
y+8-8 = 7x+21-8
y = 7x+13
3(5+4y)+8-2y how to do this plz
Answer:
\(3\left(5+4y\right)+8-2y=10y+23\)
Step-by-step explanation:
Given
As the expression is given by
\(3(5+4y)+8-2y\)
To determine
Simplify the expression
Let us simplify the expression
\(3(5+4y)+8-2y\)
Expand 3(5 + 4y) = 15 + 12y
\(3\left(5+4y\right)+8-2y=15+12y+8-2y\)
grouping like terms
\(=12y-2y+15+8\)
\(=10y+23\)
Therefore,
\(3\left(5+4y\right)+8-2y=10y+23\)
Im stuck help me pls thank you
Answer:
The answer is "Option A".
Step-by-step explanation:
In this, the question is missing so, we assuming the missing question is this question, which is add in attach file. please find it.
Formula for line:
\(\to \bold{y= mx+ c}\)
\(\to m= slope \\\\\to c= y-intercept\)
In the question the slope "m= 3 and y= -2" so, the line is \(y= 3x+ (-2)\).
\(\to y= 3x-2\)
Farmer Jan is a vegetable farmer who divides his field between broccoli crops and spinach crops. Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables. This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables. how many acres of broccoli crops and how many acres if spinach crops does farmer jan have?
Answer:
There is no unique solution to this problem.
There are infinitely many solutions to this problem.
Step-by-step explanation:
Let B denotes broccoli crop
Let S denotes spinach crop
Last year, he grew 6 tons of broccoli per acre and 9 tons of spinach per acre, for a total of 93 tons of vegetables.
Mathematically,
6B + 9S = 93 eq. 1
This year, he grew 2 tons of broccoli per acre and 3 tons of spinach per acre, for a total of 31 tons of vegetables.
Mathematically,
2B + 3S = 31
2B = 31 - 3S
B = (31 - 3S)/2 eq. 2
Substitute eq. 2 into eq. 1
6B + 9S = 93
6[(31 - 3S)/2] + 9S = 93
3(31 - 3S) + 9S = 93
93 - 9S + 9S = 93
- 9S + 9S = 93 - 93
0 = 0
Therefore, there is no unique solution to this problem.
Which means that there are infinitely many solutions to this problem.
determine the domain and the range of the function .f = {(10,1 ),(17,-6),(45,1 ),(51,5 )}
The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.
The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.
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Please answer! Question in link below
The options that apply to the given table of data are; Options C, D & E
How to Interpret Frequency Tables?Option A: Conditional relative frequency compares a frequency count to the marginal total that represents the condition of interest. Thus, the given statement is not true because it compares the frequency count of the 18 people to a fraction.
Option B: The principle of Independence states that two events A and B are statistically independent if and only if their joint probability can be factorized into their marginal probabilities. This shows principle of independence and so the statement is wrong.
Option C: Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data. Thus, the given statement is correct.
Option D: This statement is true because joint relative frequencies are the values in each category divided by the total number of value.
Option E; This statement is correct because the table shows principle of Independence
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quick answer plz .....The ratio of two numbers is 3 : 4 , The sum of the numbers is 98 , Then what is the smaller number?
A. 12
B. 42
C. 16
D. 56
Answer:
B
Step-by-step explanation:
3x+4x=98
7x=98
x=14
3×14=42
Answer:
the correct answer is B
Why do you learn the 12 times table?
The 12 times table can help with division and multiplication skills, both of which are necessary for resolving common math issues.
Becoming proficient in fundamental arithmetic requires learning the 12 times table. Knowing this multiplication table makes it easier to figure out solutions to common math issues like doubling a recipe, calculating tips, and estimating distances. It also aids in the development of division abilities, which are necessary for solving more difficult mathematical equations. People of all ages can gain confidence in their math skills by memorising the 12 times table. It can help open up a world of additional mathematical exploration and is an effective tool for accelerating speed and precision.
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is (11,9) a function
What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an
inch?
The required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.
What is a sphere?A sphere is a geometrical object that resembles a two-dimensional circle in three dimensions. In three-dimensional space, a sphere is a collection of points that are all located at the same distance from a single point.
The radius of the sphere is denoted by the letter r, and the specified point represents its center.
The sphere is a three-dimensional shape that is sometimes referred to as a circle's second cousin.
A sphere is a solid shape that is circular, without borders.
Balloons, toy balls, and even light bulbs are examples of objects with sphere shapes.
So, the volume of the sphere formula is:
4/3πr³
We know that the volume is 72 inches.
Then calculate as follows:
72 = 4/3πr³
r³ = 72*3/4π
r = 2.58 (Approx)
Rounding off: 2.6 inches
Then the diameter would be:
2.6 * 2 = 5.2 inches
Therefore, the required diameter of the sphere where the volume is 72 inches is 5.2 inches respectively.
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Correct question:
What is the diameter of a sphere with a volume of 72 in”, to the nearest tenth of an inch?