Using the normal distribution, the probabilities are given as follows:
a. Between 8 and 12 cases with side effects: 0.582 = 58.2%.
b. More than 16 cases with side effects: 0.0174 = 1.74%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is given by the equation presented below:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure X is above or below the mean of the distribution, depending if the z-score is positive or negative.From the z-score table, the p-value associated with the z-score is found, and it represents the percentile of the measure X in the distribution.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].The parameters for the binomial distribution in this problem are given as follows:
p = 0.05, n = 200.
Hence the mean and the standard deviation of the approximation are given as follows:
E(X) = np = 200 x 0.05 = 10.[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.05)(0.95)} = 3.08[/tex]For item a, using continuity correction, the probability of between 8 and 12 cases with side effects is the p-value of Z when X = 12.5 subtracted by the p-value of Z when X = 7.5, hence:
X = 12.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (12.5 - 10)/3.08
Z = 0.81
Z = 0.81 has a p-value of 0.7910
X = 7.5:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (7.5 - 10)/3.08
Z = -0.81
Z = -0.81 has a p-value of 0.2090.
0.7910 - 0.2090 = 0.582 probability.
For item b, the probability of finding more than 16 cases with side effects is one subtracted by the p-value of Z when X = 16.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (16.5 - 10)/3.08
Z = 2.11
Z = 2.11 has a probability of 0.9826.
1 - 0.9826 = 0.0174 = 1.74% probability.
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For any integer of n which of the following, n and n+2, n-1 and n+1, 2n and 2n+2, 2n-1 and 2n+1, 2n+ 1 and 2n+2, 2n and 2n+1 are always 2 consecutive even numbers
The number 2n and 2n + 2 will always are 2 consecutive even numbers.
What is termed as the consecutive even numbers?Consecutive numbers are numbers that obey one another in a regular adding up order or pattern. They are written in a series with a fixed difference here between numbers and no numbers skipped in between. We know that even numbers end in 0, 2, 4, 6, and 8. Consider a set of even numbers ranging from 2 to 12 but rather write those in ascending order. When written from smallest to largest, the numbers are organized as 2, 4, 6, 8, 10, 12. The difference between any former leader pair is 2, as we can see. As a result, these numbers comprise the collection of consecutive even numbers.From the given option in the question;
2n and 2n + 2 will always be two consecutive even number.
For, n = 1, the numbers be 2 and 4.
For, n = 2, the numbers be 4 and 6.
For n = 3, the numbers be 6 and 8....and so on.
Thus, the number 2n and 2n + 2 will always are 2 consecutive even numbers.
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Part 1. A cardboard box, which weighs 0.6 pound when empty, is filled with 15 bags of beans and a 4-pound bag of rice. The total weight of the box and the contents inside it is 25.6 pounds. One way to represent this situation is with the equation 0.6 + 15b + 4 = 25.6.
Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6.
Responses
Equation A: 15b + 4 = 25.6
Equation A: 15b + 4 = 25.6
Equation B: 15b + 4 = 25
Equation B: 15b + 4 = 25
Equation C: 3(0.6 + 15b + 4) = 76.8
Equation C: 3(0.6 + 15b + 4) = 76.8
Equation D: 15b = 25.6
Equation D: 15b = 25.6
Equation E: 15b = 21
Part 2. To solve the equation 7.5d = 2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side.
a. Will both moves lead to the solution? Explain your reasoning.
b. What is the solution?
Part 3. The equation 4(x – 2) = 100 is a true equation for a particular value of x. Explain why 2(x – 2) = 50 is also true for the same value of x.
2(x -2) = 50 is also true for the same value of x.
Given,
Part 1:
When a cardboard box is empty, its weight is 0.6 pounds.
It is filled with 15 bags of beans and a 4-pound bag of rice.
The total weight of the box and the contents inside it is 25.6 pounds.
Let the weight of 15 bean bags is 15b. The given scenario can be represented by the equation as follows :
0.6+15b+4=25.6 ....(A)
Taking like terms together,
15b=25.6-0.6-4 ...(1)
15b = 21 ....(2)
Equation (1) or (2) can be the equivalent equation for the equation (A).
Part 2:
Solve the equation:
7.5d = 2.5d, Lin divides each side by 2.5d,
and Elena subtracts 2.5d from each side.
Now, 7.5d/2.5d = 2.5d/2.5d
3 = 1
It is not equal, There is no solution.
a. 7.5d - 2.5d = 2.5d - 2.5d
5d/5 = 0/5
b. What is the solution ?
Solution is d = 0
Part 3:
Given,
The equation 4(x - 2) = 100 is a true equation for a particular value of x.
Explanation: The basic property of the equation is that if you multiply or divide both sides of the equation by the non-zero whole , the equation still holds.
In the Equation : 4 (x - 2) =100 divide by 2 on both sides because 2 is common factor of (4,10)
So, 4(x - 2) =100
1/2 x 4(x-2) = 1/2 x 100
= 2(x-2) = 50
Above all, 2(x -2) = 50 is also true for the same value of x.
Hence, 2(x -2) = 50 is also true for the same value of x.
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You begin with $25 in a saving account and $50 in a checking account. Each week you deposit $5 into saving and $10 into checking. After how many weeks is the amount in checking twice the amount in saving?
Answer:
1 week
Step-by-step explanation:
After 1 week
Saving account: $25 + $5 = $30
Checking amount: $50 + $10 = $60
30 x 2 = 60
So it's 1 week
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work? On a graph
The equation in slope intercept form is C(h) = 50h+25 ,the total cost for 8 hours of work is $425 , and for 10 hours of work is $525.
In the question;
it is given that
the fixed charge of plumber = $25
charge for per hour of service = $50
the hours of service be "h"
and the total cost be "C"
according to the question
C(h) = 50h+25
the equation in the slope intercept form is C(h) = 50h+25
to find the total cost for 8 hours of work , put h=8
C(8) = 50(8) + 25
= 400+25
= 425
to find the total cost for 10 hours of work , put h=10
C(10) = 50(10) + 25
= 500+25
= 525
Therefore , total cost for 8 hours of work is $425 , and for 10 hours of work is $525 .
The given question is incomplete , the complete question is
A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service. What will be the total cost for 8 hours of work? 10 hours of work?
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In a company 80/ of workers are men if 1120 people workfor the company who aren’t men how many workers are there in all
Answer:
if you meant %, the answer is 2016
Step-by-step explanation:
1120 + 80% is 2016
An adult elephant weighs 2 2/5 tons. An adult hippo weighs 1 4/5 tons. How much will the animals weigh together?
Answer: If you want the result as a fraction it should be 3.7/5. but if you want a whole number it's 4.2. if you want a mixed number its 4 1/5
Step-by-step explanation:
Which sequence shows the numbers in order from least to greatest?
A. |-8.23| < 8 1/5 < 8.3
B. 8 1/5 > 8.3 > |-8.23|
C. 8 1/5 < |-8.23| < 8.3
D. 8.3 < |-8.23| < 8 1/5
The sequence that shows the numbers in order from least to greatest is A. |-8.23| < 8 1/5 < 8.3
How to illustrate the information?It's important to note that arranging numbers from the least to the greatest simply means ascending order.
In this case, it's vital to note that the negative value is the smallest. Then 8 1/5 is 8.2. This conea after. The greatest number is 8.3 since it's the biggest.
In conclusion, the correct option is A.
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In today's recording, the first example was the function
f(x) = x² + 5x³ + 10x² + 20x + 24
After depressing our function twice and getting a quotient (depressed polynomial), which was the
resulting quadratic equation that we needed to solve?
O x²+4=0
O x²-4=0
O x² + 4x + 4 = 0
O x² + 4x = 0
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 (No division operation by a variable).
How can you locate a polynomial's root?Set the equation's value to zero to get the polynomial's roots. Completely factor the polynomial expression. Then, in order to find the variable, set each factor equal to zero. The formula isx^4+5x^3-10x^2-20x+24Finding polynomial roots (zeroes) is the focus of this solution.((((x4)+(5•(x3)))-(2•5x2))-20x)+24
((((x4) + 5x3) - (2•5x2)) - 20x) + 24
Find the roots (zeroes) of F(x) = x4 + 5 x 3 x 10 x 2 x 20 + 24.The Polynomial Roots Calculator is a collection of techniques for identifying x values where F(x)=0.One of the tools discussed above is the rational roots test. Only numbers x that can be written as the quotient of two integers would be considered rational roots.According to the Rational Root Theorem, P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient if a polynomial zeroes for a rational integer P/Q.The Leading Coefficient in this situation is 1 and the Trailing Constant is 24.The element(s) are: of the Trailing Constant: 1, 1, 2, 3, 4, 6, 8, 12, and 24 of the Leading Coefficient: 1.According to the Factor Theorem, if P/Q is a polynomial's root, then q*x-p can be used to divide the polynomial. Keep in mind that q and p come from P/Q in its simplest form.In our situation, this means that 4 different polynomials, including x-2, can divide x4+5x3–10x2–20x+24.To Learn more about polynomial refer to:
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please help I need help on how to do it also my videos stopped working
20 shares purchased at $30, means that the initial inversion is 20 times 30 = $600
they are sold for $710, so the difference is 710 - 600 = 110
the commision is 6, so the final gain is 110 -6 =104
profit divided by the inversion:
104/600 = 0.1733
the answer is 17.33 %
Perimeter and area polynomials
The combined perimeter of
2b (14y - 12)
2c (18y + 4)
2d (14y - 16), is
[tex]P=14y-12+18y+4+14y-16[/tex]Add the like terms
[tex]\begin{gathered} P=(14y+18y+14y)+(-12+4-16) \\ \\ P=46y+(-24) \\ \\ P=46y-24 \end{gathered}[/tex]The combined perimeter is (46y - 24)
The combined area of
1b (10y^2 - 27y +5)
1c (20y^2 + 11y - 3)
1d (12y^2 -24y), is
[tex]A=10y^2-27y+5+20y^2+11y-3+12y^2-24y[/tex]Add the like terms
[tex]\begin{gathered} A=(10y^2+20y^2+12y^2)+(-27y+11y-24y)+(5-3) \\ \\ A=42y^2+(-40y)+2 \\ \\ A=42y^2-40y+2 \end{gathered}[/tex]The combined area is (42y^2 - 40y + 2)
Sandra recorded the distances that 6 beetles crawled in 10 seconds down a 36 inch track. The fractions represent the distances that Sandra recorded. 7 2 1 11 5 17 18' 3' 9' 36' 18 3 36. Which list shows distances Sandra recorded in order from least to greatest?
Distances Sandra recorded in order from least to greatest is 1/9, 5/18, 11/36, 7/18, 17/36, 2/3.
Given that, the fractions represent the distances that Sandra recorded is 7/18, 2/3, 1/9, 11/36, 5/18, 17/36.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Here, distance is 10/36
So, the equivalent fractions for the given fractions are
7/18 = 14/36
2/3 = 24/36
1/9 = 4/36
11/36
5/18 = 10/36
17/36
So, least to greatest is
4/36 < 10/36 < 11/36 < 14/36 < 17/36 < 24/36
1/9 < 5/18 <11/36 <7/18 <17/36 <2/3
Therefore, distances Sandra recorded in order from least to greatest is 1/9, 5/18, 11/36, 7/18, 17/36, 2/3.
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Please help!
4|x+7| < 8
3
so this is a
You also will not know precisely how many sentences will appear in the random paragraph. But some piano roll artists made a name with pieces that could not possibly be played by an precise individual. Most of his research deal with difficult meters and polyrhythms. Many include distinct voices enjoying the identical line at different tempos, usually in odd ratios. On top of this, most of the traces themselves tend to be highly dissonant and exhausting to actually play. Someday we might come nose to nose with pure house, that could presumably be a nothingness waiting to be filled.
If a = 3 and b = -5- 2i, then find the value of the a³b in fully simplified form.
The value of a³b for the value of a=3 and b=-5-2i is -135-54i for the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and 'i' is an imaginary number called “iota”."
What is complex numbers?Complex numbers are those that are expressed as a+ib, where a and b are real numbers and I is a fictitious number called a "iota." I has the value (√-1). As an illustration, the complex number 2+3i is made up of the real number 2 (Re) and the imaginary number 3i (Im). In the 19th century, the term "complex numbers"—which denotes that they have both real and imaginary components—became widely used. Occasionally, the term "imaginary number" is used to describe a complex number that is not real or, more commonly, a number whose real part is zero (a.k.a "pure imaginary").
Here,
The value of a³b
=3³(-5-2i)
=27(-5-2i)
=-135-54i
For the given complex number that defines "Complex numbers are the numbers that are expressed in the form of a+ib where, a, b are real numbers and I is an imaginary number called "iota," the value of a³b is -135-54i.
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question allistair throws a biased six-sided dice. the probability of getting a 6 with this dice is 0.4. the other numbers are equally probable. if he throws the dice 3 times, what is the probability that he gets 5, 3, and 2 in this order?
The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.
The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.
a) Chance of receiving 5:
P(6) + Q(6) = 5
Q(6) = 5 - P(6)
Q(6) = 5 - 0.4
Q(6) = 4.6
The probability of obtaining 5 to 5 is 4.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 4.6
The first five numbers have an equally likely probability.
P(1) = 4.6 ÷ 5
P(1) = 0.92
b) Probability of getting 3:
P(6) + Q(6) = 3
Q(6) = 3 - P(6)
Q(6) = 3 - 0.4
Q(6) = 2.6
The probability of obtaining 3 to 5 is 2.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 2.6
The first five numbers have an equally likely probability.
P(1) = 2.6 ÷ 5
P(1) = 0.52
c) Probability of getting 2:
P(6) + Q(6) = 2
Q(6) = 2 - P(6)
Q(6) = 2 - 0.4
Q(6) = 1.6
The probability of obtaining 2 to 5 is 1.6 overall.
The probability of receiving one is,
P(1) + P(2) + P(3) + P(4) + P(5) = 1.6
The first five numbers have an equally likely probability.
P(1) = 1.6 ÷ 5
P(1) = 0.32
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3/4 - (-1/2) as a fraction
Answer:1/4
Step-by-step explanation:
Standard Questions
Question Progress
The average mass of a man is 84 kg and of a woman is 70 kg.
A lift can safely carry 720 kg.
Work out the maximum number of people the lift can safely carry.
We need to know simple division to solve the problem. The maximum number of men in the lift is 8 and the maximum number of women in the lift is 10.
We will be using the simple concept of division to find the number of people that the lift can carry. The average weight of a man is given to be 84 kg and the average weight of a woman is given to be 70kg. The lift can carry 720 kg, we will find separately the number of men and women that can be carried in the lift. Inorder to find the maximum number of men we divide the total weight the lift can carry by the average weight of a man, we will similarly calculate the maximum number of women.
number of men= 720/84=8.57 which means that the number of men is 8
number of women =720/70=10.28 which means that number of women is 10.
Therefore the lift can carry at most 8 men and at most 10 women.
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ickets to the zoo cost $15 for adults and $10 for children. The school has a budget of $300 for the field
trip. An equation representing the budget for the trip is 15x+10y = 300.
a. With a budget of $300, determine if 21 students and 6 adults can go to the zoo. Explain how you
know.
b. If there are four adults who need tickets, what is the maximum number of students who can go to
the zoo while staying within the school budget? Show or explain your reasoning.
c. Solve the equation15x+10y = 300 for y.
Answers: lol sorry very long answer
part a answer: Yes, because if we substitute the variables, the equation will be 15(6) + 10(21) = 300. Simplifying this will be 90 + 210 = 300. And since 90 + 210 does equal 300, 21 students and 6 adults can go to the zoo
part b answer: 24 students. Using the equation 15x + 10y = 300, we can find out the maximum number of students who can go to the zoo. First we can substitute x for 4 because that's how many adults who need the tickets. The equation will now be 15(4) + 10y = 300. Simplifying this will be 60 + 10y = 300. Now we can subtract 60 on both sides to isolate the y term. The equation will be 10y = 240. Divide each side by 10 to find out what y is and we get y = 24. So if 4 adults go the zoo, up to 24 students can go.
part c answer: y = 30 - 1.5x. To solve 15x + 10y =300, we first need to move 15x to one side of the equation. To do this we will subtract it on both sides. The equation is now 10y = 300 -15x. Then you will divide 10 on both sides to find out what y is. y = 30 - 1.5x.
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINLY
Answer:
pretty sure its WZX
Step-by-step explanation:
is the ordered pair (-8 1) a solution to the equation y=1/2x-3
Answer: No.
Step-by-step explanation:
To test this ordered pair, we plug it back into the equation given as (x, y), and then simplify to solve. If we end up with an equal equation, the answer is yes. If not, the answer is no.
y = 1/2x - 3
(1) = 1/2(-8) - 3
1 = -4 - 3
1 ≠ -7
This ordered pair is not a solution.
vehicle speed on a particular bridge in china can be modeled as normally distributed. (a) if 5% of all vehicles travel less than 39.18 m/h and 10% travel more than 73.27 m/h, what are the mean and standard deviation of vehicle speed? (round your answers to three decimal places.) mean standard deviation
The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.
The vehicle speed on a particular bridge in china has normal distribution.
5% represents the 5th percentile which is here, 39.18 m/h.
Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.
So here the 90th percentile is 73.27 m/h.
Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.
So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]
Hence, z = (x-μ)/σ
⇒ -1.645 = (39.18 - μ)/σ
⇒ -1.645σ = 39.18 - μ
⇒ μ = 39.18 + 1.645σ ----------(1)
Also 73.27 corresponds to the z with p-value 0.9,i.e., z = 1.28.
Hence , z = (x-μ)/σ
⇒ 1.28 = (73.27 - μ)/σ
⇒ 1.28σ = 73.27 - μ
⇒ μ = 73.27 - 1.28σ ----------(2)
Equating (1) and (2), we get,
39.18 + 1.645σ = 73.27 - 1.28σ
2.925σ = 34.05
σ = 11.64
hence μ = 39.18 +1.645 x 11.64
⇒ μ = 58.33
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My penMath The area of a triangle can be found using the formula: Area = 1/2 · base · height. Find the area of the triangle pictured below, where the measurements are given in meters (m) 2 m 10 m
Answer:
The area of the given triangle is 10 sq meters
Explanation:
The area of a triangle is given by the formula:
Area = 1/2 base . height
Given that the triangle has base = 10m, and height = 2m
Area = 1/2 * 10 * 2
= 10 square meters
The perimeter of a rectangular garden is 72 meters. The length is 6 meters longer than
twice the width. Find the dimensions of the garden.
P = 2L + 2W
P = 72
L = 12W (that's an odd way to put it -- 6x 2x)
P = 2(12W) + 2W
P = 24W + 2W
72 = 26W
W = 2.769
I just want the answer :)
The diagonals of a rectangle are congruent, so RT = SU, that is
3x + 8 = 6x - 4 (subtract 4x from both sides)
3x + 8 = 6x - 4
Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8
Simplifying the above equation, we get
3x = 6x-12
Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x
Simplifying the above equation, we get
-3x = -12
Divide both sides by -3
[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]
x = 4
Then, R T= 3x + 8 = 3(4) + 8 = 20
The diagonals bisect each other, then
RV = 0.5 × 20 = 10
∠ RVU = ∠ SVT = 54° ( vertical angles)
RV = UV ( diagonals are congruent and bisect each other)
Then Δ RVU is isosceles with base angles congruent, then
∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.
In the rectangle, RV = 3x+8, SV = 6x-4, and ∠ VRS = 54° then the value of x is 4 and ∠ VUR is 66°.
How to estimate the value of x?The diagonals of a rectangle are congruent, so RT = SU, that is
3x + 8 = 6x - 4 (subtract 4x from both sides)
3x + 8 = 6x - 4
Subtract 8 from both sides 3x + 8 - 8 = 6x - 4 - 8
Simplifying the above equation, we get
3x = 6x-12
Subtract 6x from both sides 3x - 6x = 6x - 12 - 6x
Simplifying the above equation, we get
-3x = -12
Divide both sides by -3
[tex]$\frac{-3 x}{-3}=\frac{-12}{-3}[/tex]
x = 4
Then, R T= 3x + 8 = 3(4) + 8 = 20
The diagonals bisect each other, then
RV = 0.5 × 20 = 10
∠ RVU = ∠ SVT = 54° ( vertical angles)
RV = UV ( diagonals are congruent and bisect each other)
Then Δ RVU is isosceles with base angles congruent, then
∠ VUR =[tex]$\frac{180-48}{2}[/tex] = 66°.
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what does x =?
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
Which of the following equations have no solutions?Choose all answers that apply:-60x + 32 = 32x + 60 -60x + 32 = 32x - 60 -60x + 32 = -60x - 32-60x + 32 = -60x + 60
Answer:
-60x + 32 = -60x - 32
Step-by-step explanation:
The first step to solve this question is combining the like terms in each option.
In those that we end up with:
0x = c
In which c != 0, we have no solution. So
-60x + 32 = 32x + 60
-60x - 32x = 60 - 32
-92x = 28
No 0x, so it has solution
-60x + 32 = 32x - 60
-60x - 32x = -60 - 32
-92x = -92
No 0x, so it has solution
-60x + 32 = -60x - 32
-60x + 60x = -32 - 32
0x = -64
0x equaling a value different of 0, so no solution.
-60x + 32 = -60x + 60
1
What is the ratio of blue
circles to red circles?
Answer:
1:1 or one red circle to one blue circle
There is one red and one blue circle
Step-by-step explanation:
what two numbers multiply to be -6 and add up to be -5
Answer: -2 and -3
Step-by-step explanation:
The demand for a certain product is given by p+3q=315, and the supply for this
product is given by p-7q = 65, where p is the price and q is the number of
products. Complete parts (a) and (b) below.
a. Find the price at which the quantity demanded equals the quantity supplied.
$
b. Find the equilibrium quantity.
In linear equation, The price at which the quantity demanded equals the quantity supplied is $ 260." option (b) is answer.
What in mathematics is a linear equation?
An x-y linear relationship, or two variables in which the value of one of them (often y) relies on the value of the other one, is what is known as a linear equation in two variables (usually x).The dependent variable in this scenario is y since it depends on the independent variable, x.a. The demand for a product is given by p+3q= 315 or, q = (315 - p)/3 and the supply for this product is given by p-7q = 65 or, q = (p- 65)/7
The price at which the quantity demanded equals the quantity supplied is given by
315 - p/3 = p - 65/7
7( 315 - p ) = 3( p - 65 )
2405 - 7p = 3p - 195
2405 + 195 = 3p + 7p
2600 = 10p
p = 2600/10 = 260
Thus, the required price is $ 260.
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If y varies inversely as x, and y = 22 when x = 6, find x when y = 15.
Step-by-step explanation:
y varies INVERSELY as x.
that means
y = k/x
therefore,
22 = k/6
k = 22×6 = 132
and then, when y = 15
15 = 132/x
15x = 132
x = 132/15 = 8.8
HELP PLS ITS DUE TONIGHT
Answer:
1. 12
2. 4:5
3. 5
4. 30
5. 42
6. 15
7. 36
8. 1120
9. 10 2/3
Step-by-step explanation:
Answer:
In photo
Step-by-step explanation: