transversal line is the line that cuts 2 other lines.
For ex:
m is the tranversal to p and n
s is the transversal to p and n
2 and 8 are supplementary
Select the correct answer.
Estimate the solution to the following system of equations by graphing.
3x + 5y=14
6x - 4y=9
Answer:
y = 19/14 and x = 25/42
Step-by-step explanation:
Answer:
(5/2, 4/3)
Step-by-step explanation:
the solution is the point (2.41,1.36)
x=5/2
y=4/3
True or false:a. If the proportion of defectives in the sample is less than 12%, it is reasonable to conclude that the new process is better.b. If the proportion of defectives in the sample is only slightly less than 12%, the difference could well be due entirely to sampling variation, and it is not reasonable to conclude that the new process is better.c. If the proportion of defectives in the sample is a lot less than 12%, it is very unlikely that the difference is due entirely to sampling variation, so it is reasonable to conclude that the new process is better.
Answer:
false
Step-by-step explanation:
In a population, the percentage or fraction which is not conforming to (defeating) is defined as a ratio of the population's figures of non-conforming goods to the sum of goods in the inhabitants, and the further discussion can be defined as follows:
In option A, it is wrong because the proportion of both the sample is simply an approximation. The real percentage could be more than 12%. Furthermore, the conclusion also that the new procedure is better cannot be reasonably concluded.In options (b and c) both are correct because it is based on the explanation of whether, if the fraction of defective differences is bigger, we can only determine that its new procedure is better or not as a minor difference may occur from the variance of samples.Learn more:
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Which of the following is a solution of y> |x|-6?
(-1,-5)
(-5, 1)
(5,-1)
10 workers can finish the job in 15 days. For the first 5 days, only 6 workers worked on the job. Then for the next 3 days 2 more workers joined them. To finish the job, 4 more workers joined
them. After how many days was the whole job done?
A. 8days
B. 12days
C. 16days
D. 18days
Answer:
C. 16 days
Step-by-step explanation:
Let´s say each worker does 1 ¨work¨, for each day, in order to complete the job in 15 days. That´s a total of 150 work.
If only 6 workers worked for the first 5 days, then we only do 30 by Day 5.
2 more workers join, so they do 8 work each day, 24 work in 3 days, 54 work by Day 8.
4 more workers join to complete the job, so we now do 12 work each day.
150 - 54 = 96
96 work is left to do, which would be done in 8 days by 12 workers.
8 days + 8 days = 16 days
Solve the following system of equations.
-4x-5y=6
9x+7y=12
The values of x is 6 and y is (-6).
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
-4x-5y=6............(1)
9x+7y=12..................(2)
Solving Equation (1) and (2) we get
-36 x - 45y = 54
36x + 28y = 48
____________
-17y= 102
y= -6.
and, -4x -5y= 6
-4x - 5(-6) = 6
-4x + 30 = 6
-4x = 6-30
-4x = -24
x= 6
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peter is filling a swimming pool with water. after 7 minutes the pool contains 1,372 gallons of water after 12 minutes the pool contains the pools contains 2,352 gallons of water at what rate in gallons per minute is the pool being filled
Answer:
196 gallon/minute
Step-by-step explanation:
Peter is filling a swimming pool with water
After a period of 7 minutes the pool is filled up with 1372 gallons
After 12 minutes the pool is filled up with 2352 gallons
Therefore the rate in gallon per minutes at which the pool is being filled can be calculated as follows
=( 2352-1372)/(12-7)
= 980/5
= 196 gallon/minute
Hence the pool is filled up at 196 gallon/minute
Perry's patio is 6 meters long and 53 meters wide. What is the area of his patio?
Graph AFGH with vertices F(-2,2), G(-2,-4), and H(-4,-4) and its image after the similarity transformation.
Rotation: 180° about the origin
Dilation: center (2,-2) and k = 2
Answer:
i think its 5
Step-by-step explanation:
im not sure if its 5 or not but im guessing
A recipe calls for 3 cups of water for every 4 cups of flour.
What is the unit rate of water to flour, written as a decimal?
Can anyone please help me with 13-16 I’m begging anybody
Answer:
-3
Step-by-step explanation:
An even number of negative numbers will give a positive answer. An odd number of negative numbers will give a negative answer.
13-16, 16 is larger than 13 so it's negative
Simplify: 12(3y + x)
The simplified expression is 36y+12x
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here: 12(3y + x) now using the distributive property here we get
2(3y + x=36y+12x
Hence, The simplified expression is 36y+12x
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Playland Park charges $25 admission plus $2 per ride. Funland Park charges $35 admission plus $1 per ride. For what number of rides is the total cost the same at both parks? Does any body know the answer to this question?
Answer:
10 rides
Step-by-step explanation:
Make an equation.
25 + 2x = 35 + 1x
Subract 1x from the 2x to get 1.
New Equation: 25 + 1x = 35
Subtract 25 from 35 to get 10.
New Equation: 1x = 10
Divide 1 from both sides.
Answer: 10 rides
Which is the graph of the line given below? *
y=2/3x-5
To make this graph the first step is to look at the slope-intercept form
- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)
So, now you can find the y-intercept on the graph (-5) and make a dot there
Next, move right 3 and up 2 and repeat until you have enough points to make a line :)
graph below- hope this helps :)
Which of the following is an example of a ratio variable?
A-Martha is the same gender as Ruth
B-Mary's IQ is 115 and Janet's is a 90, which means Mary's IQ is slightly higher than Janet's
C-Sam is twice the age of his son
D-George and Harry attend religious services about the same amount
26
11°
X
130
(Round the answer to the nearest hundredth.)
The length of side x is
15319
Gaveart
067295
The length of side x is approximately 24.87, rounded to the nearest hundredth.
how can we find side of the triangle?
To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:
sin(11°) = opposite side/hypotenuse
Rearranging this equation, we get:
opposite side = sin(11°) * hypotenuse
We know that the hypotenuse has a length of 130, so we can substitute that in:
opposite = sin(11°) * 130
Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:
opposite = 0.1919 * 130
Simplifying this expression, we get:
opposite ≈ 24.87
Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.
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Chlorpheniramine 100 ml
Lidocaine 2 oz
Banana flavoring ½ tsp
Take 10 ml BID
How many days will this solution last?
The number of days that this solution will probably last would be = 8 days.
How to calculate the total number of days the solution will last?To calculate the number of days the solution will last the following is taken into consideration.
The parameters given which are not in ml should be converted to ml as follows;
2 Oz of Lidocaine to ml = 2×29.6=59.2ml
½tsp of banana flavouring;
= 1/2×4.92
= 2.5ml
Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml
But 2×10 = 1 day
20ml = 1 day
161.7ml = X
Make X the subject of formula;
X = 161.7/20
= 8.1
= 8 days.
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Which equation is another way to show
5/4?
A. 1/5x1/4=
B. 4x1/5=
C. 4 divided by 5=
D. 5 divided by 4=
E. 5+1/4=
Answer:
D
Step-by-step explanation:
5 divided by 4 is just 5/4 written out
calculating area and circumference or perimeter of a 2d shape. use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle.
The area and perimeter of 2D shape of Rectangle is 6.8448cm and 11.04cm repectively. The area and perimeter of 2D shape of circle is 5.0761cm and 8.0028cm respectively.
2D shape of Rectangle with dimensions of Length is3.72 cm and Width is 1.84 cm. we can find the area of rectangle with formula Area = length x width and the formula of perimeter is Perimeter = 2(length + width).
Area = length x width = 3.72 cm x 1.84 cm = 6.8448 square cm (rounded to four decimal places)
Perimeter = 2(length + width) = 2(3.72 cm + 1.84 cm) = 11.04 cm
2D shape of Circle with dimension of diameter of 2.54 cm. we can find the area with formula Area = πr^2 and circumference with formula Circumference = 2πr
Radius = diameter / 2 = 2.54 cm / 2 = 1.27 cm
Area = πr^2 = π(1.27 cm)^2 = 5.0761 square cm (rounded to four decimal places)
Circumference = 2πr = 2π(1.27 cm) = 8.0028 cm (rounded to four decimal places)
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____The given question is incomplete, the complete question is given below:
Calculating area and circumference or perimeter of a 2D shape. Use your measurements to calculate the area and circumference of the circle and to calculate the area and perimeter of the rectangle. Rectangle Length: 3.72 cm Width: 1.84 cm Circle : 2.54 cm Diameter of circle
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. \($P(\text{ good sales in Asia }) = 0.55+0.15$\)
= 0.7
2. \($P(\text{ good sales in Europe }) = 0.55+0.20$\)
= 0.75
3. \($\text{P(good sales in Asia }| \text{ good sales in Europe}) $\)\($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$\)
\($=\frac{0.55}{0.75}$\)
\($=\frac{11}{15}$\)
4. \($\text{P(good sales in Asia }| \text{ bad sales in Europe}) $\)
\($=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$\)
\($=\frac{0.15}{0.25}$\)
\($=0.6$\)
5. \($\text{P(good sales in Europe }| \text{ good sales in Asia}) $\)
\($=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$\)
\($=\frac{0.55}{0.7}$\)
\($=\frac{11}{14}$\)
6. \($\text{P(good sales in Europe }| \text{ bad sales in Asia}) $\)
\($=\frac{0.2}{0.3}$\)
\($=\frac{2}{3}$\)
which statement is true about the solutions to the equation x^2 + 4x + 5 = 0
A. The equation has no solution
B. The equation has one solution: 5.
C. The equation has two solutions: -2 and 0.
D. The equation has infinitely solutions.
A mother gives birth to a 9 pound baby. Every 2 months, the baby gains 3 pounds if x is the age of the baby in months,then y is the weight of the baby in pounds.
Find an equation of a line in the form y=Mx+b that describes the baby’s weight
Answer:
y=1.5x+9
Step-by-step explanation:
We can first write in 9 as b because the baby already started at 9 pounds, meaning the line showing the weight will also start from 9.
The question tells us that the baby grows 3 pounds every 2 months. In the equation, x represents months. We need to convert the rate of growth into 1 month to write in as the slope.
\(\frac{3pounds}{2 months} = \frac{1.5 pounds}{1 month}\)
Now we know every month, the baby grows 1.5 pounds, which represents the rate of change, or M, in the equation.
50 points! I only want mhanifa to help me so no one else answer unless you actually know how to do it
Answer:
Bbc
Step-by-step explanation:
which could be a possible root of 3x4 10x3 9x2 40x 12 0
\(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\) is the possible root
What is a root ?
Mathematicians refer to a number as having a root if it can be multiplied by itself to give the original number. The square root of 49, for instance, is 7, as 77=49. 7 is referred to as the square root of 49 in this instance because it takes 49 to multiply 7 by itself twice. Considering that 333=27, the cube root of 27 is 3.
Quadratic equation's roots The roots of a quadratic equation are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is a root of the quadratic equation f(x). The x-coordinates of the sites where the curve y = f(x) intersects the x-axis are the real roots of an equation f(x) = 0.
3x^4 -10x^3 -9x^2 + 40x - 12
=\(\left(3x-1\right)\frac{3x^4-10x^3-9x^2+40x-12}{3x-1}\)
=\(\left(3x-1\right)\left(x^3-3x^2-4x+12\right)\)
= \(\left(3x-1\right)\left(x-3\right)\left(x+2\right)\left(x-2\right)\)
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Bloom in square meters is given by the function b(d) = 100•2-d7 where d is days since the first measurement of the bloom which of two algae blooms was larger initially which is decreasing more quickly? Explain why
Answer:
n
Step-by-step explanation:
3 1/4 times 7/8 simplified!!!
Answer:
2 27/32
Step-by-step explanation:
HELP ME PLEASE will give brainliest
Answer:
(1,-4)
Step-by-step explanation:
Which methods correctly solve for the variable x in the equation 7-x=18
Answer:
x = -11
Step-by-step explanation:
7 - x = 18
+ x on both sides to cancel the negative one
7 = 18 + x
- 18 on both sides to get rid of the 18
solve:
7 - 18 = x
-11 = x
Answer:
collecting like terms
Step-by-step explanation:
step 1. Shift 7 to the right side
-x = 18 - 7
-x = 11
step 2. divide by -1 both sides
-x/-1 = 11/-1
x = -11
50points! Select the correct answer.
The function is given by the table of values.
x: 1, 2, 3, 4
f(x): 5, 7, 11, 19,
If f(x) is shifted 5 units down to obtain g(x),
which table of values represents the function g?
A. x: -4, -3, -2, -1
g(x): 0 , 2, 6, 14
B. x: -4, -3, -2, -1
g(x): 5, 7, 11, 19
C. x: 1, 2, 3, 4
g(x): 0, 2, 6, 14
D. x: 1, 2, 3, 4
g(x): 10 , 12, 16, 24
Answer: B
Step-by-step explanation:
its B
write an equation of the line parallel to the line and passing through the point.
y= 2x-8 (3,10)
y=1/2x+2, (0,4)
y=6, (3,4)
9514 1404 393
Answer:
y = 2x +4y = 1/2x +4y = 4Step-by-step explanation:
In each case, the given line is of the form ...
y = mx +b
The parallel line will have the same slope (m), but will have a different b that can be found from the point (x, y) as ...
b = y -mx
__
a) m = 2
b = 10 -2(3) = 4
The parallel line is y = 2x +4.
__
b) m = 1/2
b = 4 -(1/2)(0) = 4
The parallel line is y = 1/2x +4.
__
c) m = 0
b = 4 -0(3) = 4
The parallel line is y = 4.
A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.