Answer:
-25x-45y, because if we have got + and -, so we will write minus.
Graph the solution set to the inequality: 8x - 7y ≥ 42
Answer:
How do I show you the graph because I have it
Step-by-step explanation:
Número 5 five pls help me
Work out the perimeter of this quarter circle.
Take to be 3.142 and write down all the digits given by your calculator.
4 cm
Step-by-step explanation:
Where's the calculator
Members of the student government are planning a movie night on campus. They have asked a random sample of students which of four movies the student would prefer. Here are the results Movie A- 31 students, Movie B- 27 students, Movie C- 34 students, Movie D- 28 students. There are 900 students total on campus. Based on the above information, how many students on campus would we expect to prefer Movie C? Round your answer to the nearest whole number. Do not round any intermediate calculations
There are 255 students who prefer Movie C.
In the given case, the total number of students in the campus = 900
Number of students in the random sample :
= 31 + 27 + 34 + 28
= 120
Number of students who prefer to watch movie C in the chosen sample:
= 34
To get number of students who would prefer to watch the movies C in the total population of 900, we can extrapolate the data from the chosen sample to the entire population.
Thus, number of students expected to prefer movie C in the campus =
34/120 × 900
= 255
Hence the expected number of students are 255.
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Exercise
1. If you have a case where n=25 and P=0.04, what is the probability that x is equal to 4?
If [tex]n=25[/tex] and [tex]p=0.04[/tex], then the probability of [tex]P(X=4)[/tex] is found to be 0.001374.
What is Binomial Distribution?
In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability, [tex]p[/tex]) or failure (with probability, [tex]q=1-p[/tex]).
How to Find the Probability of a Binomial Distribution?
The chance of failure raised to the power of the difference between the number of tries and the number of successes is multiplied by the probability of success raised to the power of the number of successes in order to compute the binomial distribution. Next, multiply the final result by the sum of the number of attempts and the number of successes.The formula for binomial distribution is given as, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]From the given question, we have, [tex]n=25[/tex] and [tex]p=0.04[/tex]
Here, have to find the probability of [tex]P(X=4)[/tex], so [tex]k=4[/tex]
The binomial distribution formula is, [tex]P(X=k)={n \choose k}p^{k}(1-p)^{n-k}[/tex]
Substituting the given values in the above equation, we get
[tex]P(X=4)={25 \choose 4}0.04^{4}(1-0.04)^{25-4}[/tex]
[tex]\implies P(X=4)=12650 \times0.00000256\times0.4243\\\implies P(X=4)=0.001374[/tex]
Therefore, the value of [tex]P(X=4)=0.001374[/tex]
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For every pull-up Mark completes, he does 4 push-ups. If he did 48 push-up, how many pull-ups did he do?
Answer:
Mark did 12 pull ups
Step-by-step explanation:
48 / 4 = 12
Suppose you have a complete, weighted graph with 8 vertices. How many Hamilton Circuits are there in this graph?
The number of Hamilton Circuits with 8 vertices are 5040.
Given that, a complete, weighted graph with 8 vertices.
What are Hamilton Circuits?A Hamiltonian circuit is a circuit that visits every vertex once with no repeats. Being a circuit, it must start and end at the same vertex. A Hamiltonian path also visits every vertex once with no repeats, but does not have to start and end at the same vertex.
For N vertices in a complete graph, there will be (n−1)!=(n−1)(n−2)(n−3)…3⋅2⋅1 routes. Half of these are duplicates in reverse order, so there are (n−1)!/2 unique circuits.
A complete graph with 8 vertices would have = 5040 possible Hamiltonian circuits. Half of the circuits are duplicates of other circuits but in reverse order, leaving 2520 unique routes.
Therefore, the number of Hamilton Circuits with 8 vertices are 5040.
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Exponential test y =4
The function y = 4 is a straight line and not an exponential function.
Given, a function y = 4
now, we have to test the function is exponential or not
As, the function is a straight line graph i.e. y = 4.
Now, the function y = 4 is a straight line graph which is parallel to the x-axis.
So, the function y = 4 is not an exponential function
Hence, the function y = 4 is a straight line and not an exponential function.
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Please solve :) and hurry!
The price for 7 bags of trail mix and 4 bananas is 15.45 dollars.
The expression for x trail bag and y bananas is 1.35x + 1.50y.
How to represent expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)
Therefore, the cost of a bag of trail mix at the corner store is 1.35 dollars and the cost of a banana is 1.5 dollars.
The cost for 7 bags of trail mix and 4 bananas can be computed as follows;
let
x = bags of trail mix
y = number of banana
Therefore,
1.35x + 1.50y
1.35(7) + 1.50(4) = 9.45 + 6 = 15.45
Therefore, let's find the expression for x trail bag and y bananas.
Hence,
1.35x + 1.50y
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What is the slope of the line?
Answer:
2
Step-by-step explanation:
y 4-2=2
x 2-1=1
2/1=1
hope it helps.
Reflect across the y-axis.
H(1,-3)→H
Z(1,2)→ Z
W(4,1)→ w
Reflection across the y-axis is H(-1,-3), Z(-1,2) W(-4,1).
When point M (h,k) is reflected along the y-axis, the image M' with coordinates of forms in the second quadrant (-h, k).
Thus, we get the conclusion that when a point is mirrored along the y-axis, the y-coordinate stays constant but the x-coordinate changes to the negative.
H(1,-3) → H(-1,-3)
Z(1,2) → Z(-1,2)
W(4,1) → W(-4,1)
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round this number to the hundredth 3.6432
Calculate the volume of each of the following prisms.
1)
length = 35
width = 14
height = 24
2)
length = 27
width = 14
height = 21
3)
length = 21
width = 21
Height = 21
Step-by-step explanation:
1.) The first shape is a parallelogram like prism, So we use Area of prism= Area of base shape*height
that is, Area of base shape= rectangle,L*B
35*14=490*height
490*24=11760 cm3
2.)A rectangle base prism,
Area of prism= Area of base shape*height
Area of Base shape=27*14
378cm2*21
7938cm3
3.)Square based prism,
Area of prism= Area of base shape*height
=21*21*21 (since all sides are the same)
=9261cm3
An auto insurance company charges males 16-18 years old a base price of $1100 for insurance in a given year. Their accuracies have determined that there is a 8.5% a claim will be made against such a policy and an average claim of $4900. What does the insurance company expect to make on average off of each policy holder?
If a claim will be made against such a policy and an average claim of $4900. the insurance company should make on average off of each policy holder is $683.5.
How to find the amount the company should make?Using this formula to find the amount
Amount = [Percentage claim × ( Base price - Average claim)] + [(1 - percentage claim) × Base price]
Let plug in the formula
Amount = [0.085 × ($1,100 - $4,900)] + [(1-0.085) × $1,100]
Amount = [0.085 × (- $3,800)] + [(0.915 × $1,100]
Amount = -$325+ $1,006.5
Amount = $683.5
Therefore the insurance company will make the amount of $683.5.
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need help asap please
Jada is planning a kayak trip. She finds an expression for the time, T(s), in hours it takes her to paddle 10 kilometers upstream in terms of s, the speed of the current in kilometers per hour. Jada gets if she allows s to take on any value between 0 and 7.5.
The domain of the function that represents Jada's trip is the set of input value the function can take
The appropriate domain is all real numbers except
x = 5.5
by looking at the graph, we can see that:
The x-value starts at negative infinity, and ends near 5.5
The x-value then continues near 5.5, and ends at positive infinity
This means that the input of the graph cannot be 5.5
Hence, an appropriate domain would be: x # 5.5
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2x + 4y = 4
number of solution
Given equation 2x + 4y = 4 has infinitely many solutions.
We have been given an equation 2x + 4y = 4
We need to find the number of solutions.
Above equation is a linear equation with two variables.
We know that, a linear equation in two variables has infinitely many solutions.
For any value real value of x we can find corresponding value of y.
Since x can takes infinitely many inputs the output would be infinitely many.
Therefore, given equation 2x + 4y = 4 has infinitely many solutions.
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he residence of a city voted on whether to raise property taxes the ratio of yes votes to no votes was 4 to 7 if there was a 5918 total votes how many yes votes were there
There is a total of 2152 yes votes
How to determine the number of yes votes?From the question, the statement is given as
The ratio of yes votes to no votes was 4 to 7
Mathematically, this can be represented as
Ratio = 4 : 7
Alternatively, we have
Yes : No = 4 : 7
Express the ratio as fraction
Yes = Yes/Yes + No
So, we have
Yes = 4/4 + 7
Evaluate the sum
Yes = 4/11
From the question, we have
Total votes = 5918
So, we have
Yes = 4/11 * 5918
Evaluate
Yes = 2152
Hence, the number of yes votes is 2152
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Deduce the following in standard form: 3 −
The standard form of the given fractions are;
(i) −45/30
(ii) 16/−36
(iii) −3/−15
(iv) 68/−119
How to write fractions in standard form?
A fraction is said to be in standard form when both the numerator and denominator are co-prime numbers. Thus;
1) −45/30; Divide both numerator and denominator by 15 to get;
(−45 ÷ 15)/30
= -3/2.
(2) 16/−36; Divide both numerator and denominator by 4 to get;
(16 ÷ 4)/(−36 ÷ 4)
= -4/9
(iii) −3/−15; Divide both numerator and denominator by -3 to get;
(-3 ÷ 4)/(−15 ÷ 4)
1/5
(iv) 68/−119; Divide both numerator and denominator by 19 to get; -4/7
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Complete question is;
Reduce each of the following rational numbers in standard form:
(i) −45/30
(ii) 16/−36
(iii) −3/−15
(iv) 68/−119
The assets and liabilities of a landscaping business are listed below.
Owned Inventory
$30,500
Cash
$75,420
Building Mortgage
$154,265
Savings Account
$28,000
Owned Equipment
$15,670
Small Business Loan
$25,652
Credit Cards
$11,450
Accounts Receivable
$11,560
Investments
$178,925
Which balance sheet correctly shows the assets, liabilities, and net worth of the landscaping business?
The total value of the ice cream shop owner's business assets would be; $286,898.
What are business assets?Business assets are the value of the assets of the Ice Cream Shop. The business assets consist of liabilities (amounts owed outsiders) and equity (the difference between assets and liabilities).
Business Assets:
Owned Inventory $30,500
Cash $75,420
Savings Account $28,000
Owned Equipment $15,670
Accounts Receivable $11,560
Property Value $125,768
Total assets = $286,898
Business Liabilities:
Small Business Loan $25,652
Other Debt $1,235
Building Mortgage $154,265
Total liabilities = $171,152
Equity = $115,746 ($286,898 - $171,152)
The total value of the ice cream shop owner's business assets would be; $286,898.
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Answer:
The net worth of the landscaping business is $148,708.
Step-by-step explanation:
Assets:
(Owned Inventory) $30,500
(Cash) $75,420
(Savings Account) $28,000
(Owned Equipment) $15,670
(Accounts Receivable) $11,560
(Investments) $178,925
30500+75420+28000+15670+11560+178925 = 340075
Liabilities:
(Building Mortgage) $154,265
(Small Business Loan) $25,652
(Credit Cards) $11,450
154265+25652+11450= 191367
Assets - liabilities = net worth
340075 - 191367 = 148708
So, the net worth of the landscaping business is $148,708.
The carousel on the national mall has four rings of horses. Kiran is running on the inner ring, which has a radius of 9 feet. Mai is riding on the outer ring, which is 8 feet farther out from the center then the inner ring is. And one rotation of the carousel, how much farther does mai travel from Kiran. One rotation takes 12 seconds. How much faster does mai travel than kiran?
Answer:
50.24
Step-by-step explanation:
so u subtract the distanse not 9-4 u have to find a porportional ratio it was 100 - 50 or something add u get 50.24
tbh i didnt knw i just searched it up and im only in 6th grade so im not the the smartest in the world
i have no clue what the second on is so good luck with that
we spent $82.96 at a restaurant this total amount including a tip of 22% what was the amount of the bill before the tip?
Answer:
82.96-22% = 67.83
Step-by-step explanation:
82.96-22% = 67.83
Frank raises cattle for livestock. Last year, he sold exactly 30% of his cattle to a local rancher. If Frank has not gained or lost any cattle since last year, which of the following could be the total number of cattle he currently owns?
A) 610
B)520
C)350
D)300
The total number of cattle Frank currently owned could be C)350
How to find the total number of cattle Frank currently ownedThe problem is asking multiples of 7.
Multiples of 7 come into play after working the the percentage as follows
Frank sold 30%, the percentage left is
= 100% - 30%
= 70%
= 0.7
The multiple of 7 that is a number 7 will divide without remainder here is 350 and this is the correct answer.
= 350 / 0.7
= 500
This means Frank had 500 cattle sold
0.3 * 500 = 150
currently having
= 500 * 0.7 = 350
= 500 - 150 = 350
Remember that a cattle will always be in whole number
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DUE IN A FEW MINS!!!!Do only number 25 pls I’m confused!! Also, please explain how u got it !!
Answer:
value of x are 2 and 3 which make the inequality true
Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges 25 plus 22 per hour of work. A linear equation that expresses the total amount of money Ethan earns per visit is y=25+22x .
The independent variable x is the hour of work.
The dependent variable y is the total money Ethan earn per visit.
The y-intercept is 25.
The slope is 22.
Ethan charges a one time fee of 25 dollars. For each visit Ethan earns 22 dollars for each hour of work.
How to solve linear equations?Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges 25 plus 22 per hour of work.
A linear equation that expresses the total amount of money Ethan earns per visit is y = 25 + 22x.
Using slope intercept equation,
y = mx + b
where
m = slopeb = y-intercepty = 25 + 22x
The independent variable x is the hour of work.
The dependent variable y is the total money Ethan earn per visit.
The y-intercept is the value of y when x = 0. Therefore, the y-intercept is 25.
The slope is the change in the dependent variable with respect to the change in the independent variable. The slope is 22.
Ethan charges a one time fee of 25 dollars. For each visit Ethan earns 22 dollars for each hour of work.
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0.8421 as a fraction
Answer:
8421/10000
Step-by-step explanation:
8421/10000
A middle school principal is signing the diplomas of the school's graduating eighth graders. She previously signed 37 diplomas. Now, she is signing more diplomas at a rate of 0.5 per second.
Write an equation that shows how the total number of diplomas signed, y, depends on the number of seconds the principal spends signing them, x.
y=
An equation that shows how the total number of diplomas signed depends on the number of seconds the principal spends signing them is y = 37 + 0.5x.
What is an equation?An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, let x be number of seconds the principal spends signing them. The principal already signed 37 diplomas. Th equation to illustrate this is 37 + 0.5x.
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n (x) = 4x + 4; n(x) = 16
X =
x = 3
Step-by-step explanation:
[tex]{ \blue{ \sf{n(x) = 4x + 4}}}[/tex]
[tex]{ \blue{ \sf{16 = 4x + 4}}}[/tex]
[tex]{ \blue{ \sf{16 - 4 = 4x}}}[/tex]
[tex]{ \blue{ \sf{12 = 4x}}}[/tex]
Divide both the sides with 4
[tex]{ \blue{ \sf{ \frac{12}{4} = \frac{4}{4}x}}}[/tex]
[tex]{ \green{ \boxed{ \red{ \sf{x = 3}}}}}[/tex]
Use your calculator to find the angle, to the nearest hundredth of a degree, whose tangent value is
O 0.35
O 18.43
O 0.32
O 71.57
Answer:18.43
Step-by-step explanation:
What is the explicit form of an arithmetic sequence if the
first term is 5 and the recursive formula is an an-1 + 8?
=
The explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
What is arithmetic sequence?
A sequence of numbers is said to be in arithmetic progression if the difference between the consecutive terms of the series are same
If the first term is a, common difference is d, then nth term of the sequence is given by
[tex]a_n = a + (n-1)d[/tex]
The recursive form of the given arithmetic series is
[tex]a_n = a_{n-1} + 8[/tex]
First term [tex]a_1 = 5[/tex]
[tex]a_2 = a_1 + 8\\a_2 = 5 + 8\\a_2 = 13[/tex]
[tex]a_3 = a_2 + 8\\a_3 = 13 + 8\\a_3 = 21[/tex]
[tex]a_4 = a_3 + 8\\a_4 = 21+8\\a_4 = 29[/tex]
So the explicit form of the arithmetic sequence is
5, 13, 21, 29, .....
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use the figure below to solve for the missing value(s):
The missing values are:
m∠1 = 36°
m∠2 = 122°
m∠3 = 122°
m∠4 = 38°
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The figure has two triangles.
58° and m∠3 is a straight angle.
58 + m∠3 = 180
m∠3 = 180 - 58
m∠3 = 122
Now,
m∠3 + m∠4 + 20 = 180
122 + m∠4 + 20 = 180
m∠4 = 180 - 122 - 20
m∠4 = 180 - 142
m∠4 = 38
m∠3 and m2 are opposite angles.
Opposite angles are equal.
m∠3 = m∠2 = 122
Now,
m∠1 + m∠2 + 22 = 180
m∠1 + 122 + 22 = 180
m∠1 = 180 - 144
m∠1 = 36
Thus,
The missing values are:
m∠1 = 36°
m∠2 = 122°
m∠3 = 122°
m∠4 = 38°
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