Answer:
x = -5
Step-by-step explanation:
7x - 14 - 2x = 8x + 1
-14 - 1 = 8x - 7x + 2x
-15 = 3x
-15/3 = x
-5 = x
I hope this helps ^^
\(\tt{}answer \: \\ \)
\(\tt{}x = - 5 \\ \\ \)
Step-by-step explanation:
\(\tt{}7x - 14 - 2x = 8x + 1 \\ \\ \tt{}5x - 14 = 8x + 1 \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{}5x - 14 - 8x = 1 \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{} - 3x - 14 = 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{} - 3x = 1 + 14 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \)
\(\tt{} - 3x = 15 \\ \\ \tt{}x = \frac{15}{ - 3} \: \: \: \: \\ \\ \tt{}x - 5 \: \: \: \: \: \: \: \: \: \\ \\ \\ \\ \\ \)
) a plumbing contractor obtains 60% of her boiler circulators from a company whose defect rate is 0.005, and the rest from a company whose defect rate is 0.010. what proportion of the circulators can be expected to be defective? if a circulator is defective, what is the probability that it came from the first company?
The proportion of defective circulators can be calculated by weighting the defect rates of each company by their respective proportions in the contractor's inventory. Thus, the proportion of defective circulators can be expected to be 0.0065 (0.60*0.005 + 0.40*0.010).Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.
To calculate the probability that a defective circulator came from the first company, we can use Bayes' theorem.
Let A denote the event that a circulator is defective, and let B denote the event that the circulator came from the first company.
We want to find P(B|A), the probability that the circulator came from the first company given that it is defective.
This can be calculated using the formula P(B|A) = P(A|B)*P(B)/P(A), where P(A|B) is the probability of a defective circulator given that it came from the first company (0.005),
P(B) is the probability that a circulator came from the first company (0.60), and P(A) is the overall probability of a defective circulator (0.0065).
Plugging in these values, we get P(B|A) = (0.005*0.60)/0.0065 = 0.046, or approximately 4.6%.
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53.x.900+53.y.230=3540
Answer: 53*900+53*y*230=3540
53(900+y*230)=3540
53(900+230y)=3540
47700+12190y=3540
47700-47700+12190y=47700-3540
12190y=44160
y=4
Step-by-step explanation:
Multiply 53 by the numbers inside the brackets. We continue by finding the value of y.
Find the surface area
Column A 1. one solution: one solution 2. no solutions: no solutions 3. infinite solutions: infinite solutions 4. System of equations: System of equations 5. Solution: Solution 6. Equation: Equation Column B a.A representation of a scenario b.same slope, different intercepts c.same slope, same intercept d.The point where two lines intersect e.Two or more equations working together f.different slopes, different intercepts
Answer:
Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.
Step-by-step explanation:
10- 4x + 6 - 2x = -2x
Answer:
x = 4
Step-by-step explanation:
10 - 4x + 6 - 2x = -2x
10 - 6x + 6 = -2x
16 - 6x = -2x
16 - 4x = 0
-4x = -16
x = 4
Answer:
x = 4
Step-by-step explanation:
Add like terms
-6x + 16 = -2x
Bring like terms to the opposite side
16 = 4x
Divide both sides by 4
x = 4
Drag the red and blue dots along the x-axis and y-
Answer:
Put one dot at (0,3) and the other dot at (1,0)
Step-by-step explanation:
Let x = 0
6x + 2y = 6
6(0) + 2y = 6
2y = 6 Divide both sides by 2
y = 3
(0,3)
Let y = 0
6x + 2y = 6
6x + 2(0) = 6
6x = 6 Divide both sides by 6
x = 1
(1, 0)
what is the simplified form of:
Answer:
1
Step-by-step explanation:
A random number generator is used to select an integer from 1 to 500 (inclusively). What is the probability of selecting the integer 114?
The probability of selecting the integer 114 from a random number generator that is used to select an integer from 1 to 500 (inclusively) is 1/500.
Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 indicates that an event is impossible and 1 indicates that it is certain. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
There is only one possible outcome (selecting the integer 114) out of a total of 500 possible outcomes (selecting any integer from 1 to 500). Therefore, the probability of selecting the integer 114 is:
P(114) = 1/500
The probability is the same for any specific integer from 1 to 500, as each integer has an equal chance of being selected by the random number generator.
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Find the shaded area.
Round to the nearest tenth if necessary
Answer:
297 mm²
Step-by-step explanation:
22 mm × 18 mm = 396 mm²
(9 × 22) ÷ 2 = 99 mm²
396 mm² - 99 mm²
297 mm²
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Answer:
Thanks! Hi luck panda! I guess I'll do that?
Step-by-step explanation:
Answer:
This is luck panda he gives you luck of your test copy and paste him onto your next brainly answer to wish that person luck!
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Step-by-step explanation:
it doesn't look like a panda :(
Three measuring tapes are 10, 15 and 25 mlong. Find the shortest lenght which can be measured exactly by any one
Answer:4
Step-by-step explanation:
but they said it would have toend
(Darts) In a game of darts, a player needs to hit a certain number k times. Assume that all attempts are mutually independent, and that the probability of success in each attempt is θ. Derive the pmf of a random variable representing the number of required attempts.
The pmf of the random variable representing the number of attempts needed to hit a number k times in darts is a negative binomial distribution with parameters k and θ.
The negative binomial distribution models the number of failures before achieving a fixed number of successes. In this case, the number of attempts needed to hit a number k times in darts follows a negative binomial distribution.
The probability mass function (pmf) of this distribution is given by P(X = r) = (r + k – 1) C (k – 1) * (1 – θ)^r * θ^k, where r is the number of failures (attempts before hitting the target k times), (r + k – 1) C (k – 1) is the binomial coefficient, (1 – θ)^r represents the probability of r failures, and θ^k represents the probability of k successes.
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Look at the figure. Name the postulate or theorem
you can use to prove the triangles congruent.
SSS Postulate
SAS Postulate
ASA Postulate
AAS Theorem
Answer:
SSS Postulate
Step-by-step explanation:
Which value of x makes 7 + 5(x – 3) = 22 a true statement?
Choose 1 answer:
А
x = 4
B
X = 5
x = 6
D
X = 7
Answer:
x = 6
Explanation
Among the 20 prates of the Flightless Folly crew. 4 of them own a pet crab each. What percentage of prates on board the ship own a pet crab?
We need to find the percentage of prates own a pet crab
There are 20 prates
4 of them own pet
Then we need the percent of 4 out of 20
We will divide 4 by 20 and multiply the answer by 100%
\(\frac{4}{20}\times100\)We will simplify it
\(\frac{1}{5}\times100=20\)The percentage of prates on the ship own a pet is 20%
⦁ Convert the vertex form of the equation you wrote above to standard form.
the vertex was ax+b(?)
Answer:
ax^2 + bx + c
Step-by-step explanation:
im pretty sure this answers your question
The standard form of the vertex form equation is y = 2x² - 12x + 17
How to convert the equation?The vertex form of a quadratic equation is represented as:
y = a(x - h)² + k
Using the above form, the quadratic equation can be represented as:
y = 2(x - 3)² + 1
Expand
y = 2(x² - 6x + 9) - 1
Further expand
y = 2x² - 12x + 18 - 1
Evaluate the like terms
y = 2x² - 12x + 17
Hence, the standard form of the vertex form equation is y = 2x² - 12x + 17
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creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in_________.
Creating a discussion question, evaluating prospective solutions, and brainstorming and evaluating possible solutions are steps in problem-solving.
What is problem-solving?
Problem-solving is the method of examining, analyzing, and then resolving a difficult issue or situation to reach an effective solution.
Problem-solving usually requires identifying and defining a problem, considering alternative solutions, and picking the best option based on certain criteria.
Below are the steps in problem-solving:
Step 1: Define the Problem
Step 2: Identify the Root Cause of the Problem
Step 3: Develop Alternative Solutions
Step 4: Evaluate and Choose Solutions
Step 5: Implement the Chosen Solution
Step 6: Monitor Progress and Follow-up on the Solution.
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The sales tax rate is 1/2%. What is the sales tax rate on a 164.00$ purchase?
Answer:
82
Step-by-step explanation:
Write and solve an inequality that represents the values of x, in feet.
The perimeter is less than 16 feet.
Answer:
x < 16 ft
Step-by-step explanation:
Perimeter = x
If it is less than 16, the equation is:
x < 16
-Chetan K
Mindy gets 3 dollars a week for allowance. She saved all of her allowance for 10 weeks, and then she bought a shirt for 24 dollars. How much money did
she have left?
Answer:
$6 left
Step-by-step explanation:
since she saved up for 10 weeks= 3*10
$30-$24(price of the shirt)
=$6
Find the equation of the line whose graph passes through (−2,−3) and has slope 5 .
Answer:
y +3 = 5(x +2)
Step-by-step explanation:
You want the equation of a line with slope 5 through the point (-2, -3).
Point-slope formThe point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Applicationy +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)
__
Additional comment
This can also be written as ...
y = 5x +7 . . . . . . . . . subtract 3 and simplify
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The n building exemplifies interactive design because it integrates into its façade __________
The n building exemplifies interactive design because it integrates into its façade interactive digital displays.
The n building showcases interactive design by seamlessly incorporating interactive digital displays into its façade. These displays allow for dynamic content, such as visuals, videos, and interactive elements, to be presented on the building's exterior.
By engaging with passersby and creating an interactive experience, the n building transforms a static architectural structure into a vibrant and participatory environment.
This integration of interactive digital displays into the building's façade not only enhances its visual appeal but also fosters a sense of connection and engagement with the surrounding community, blurring the boundaries between the physical and digital realms.
The n building exemplifies interactive design because it integrates into its façade elements that engage and interact with the users. This can include features such as interactive screens, touch-sensitive panels, or interactive lighting displays. These elements encourage user participation and create an immersive and engaging experience for those interacting with the building.
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2. Discounts - You go to the store the next day and the $28.62 shirt is on sale for 15%
off, how much is the shirt before tax?
Answer:
a = 15 /100 * 28.62 = 4293 /1000
= 4.293
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Triangle PQR is transformed to similar triangle P’Q’R’:
A coordinate plane is shown. Triangle ABC has vertices A at 2 comma 6, B at 2 comma 4, and C at 4 comma 4. Triangle A prime B prime C prime has vertices A prime at 1 comma 3, B prime at 1 comma 2, and C prime at 2 comma 2.
What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5
Pls help i need this by the end of today
The average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
What is the average rate of change?The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing.
Given that, the total cost to produce by James shirts is represented by a function, f(x) = 5x²+6.
We are to find the average rate of change of the total cost as his shirt production increases from 10 to 20.
The average rate of change is given by =
f(b) - f(a) / b-a, where a and b are given intervals,
Here, we have, a = 10 and b = 20
f(b) = 5(20)²+6 = 2006
f(a) = 5(10)²+6 = 506
The rate of change =
2006 - 506 / 20-10
= 1500 / 10
= 150
Hence, the average rate of change of the total cost as his shirt production increases from 10 to 20 is 150.
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Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric that is 4 ¼ yards. How many more yards of fabric does Rebecca need to make the quilt
Answer:
3 3/4
Step-by-step explanation:
Which of the following is the correct order when multiplying two binomials?
Inner, first, last, outer
First, outer, inner, last
Outer, last, first, inner
Last, inner, outer, first
Please help.
Answer:
A technique for distributing two binomials. The letters FOIL stand for First, Outer, Inner, Last. First means multiply the terms which occur first in each binomial.
Step-by-step explanation:
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
What is binomial?The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are two separate terms.
It is also known as the product. If the object n is given to m times then we just simply multiply them.
Let the two expressions are (a + b) and (c + d). Then the multiplication of the expressions will be given as,
⇒ (a + b) x (c + d)
⇒ a(c + d) + b(c + d)
⇒ ac + ad + bc + bd
The correct order when multiplying two binomials will be First, outer, inner, and last. Then the correct option is B.
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Select the correct answer.
Date Daily Balance
2-20-2013 -$61.52
2-25-2013 $912.52
2-28-2013 $225.78
3-05-2013 -$228.82
3-06-2013 -$168.55
3-08-2013 $27.58
The table shows the balance in Mr. Wallace's bank account on different dates. On which date was the account balance the lowest?
A.
2-20-2013
B.
2-25-2013
C.
3-05-2013
D.
3-08-2013
Answer:
Ç
Step-by-step explanation:
The bank account is lowest on 3-05-2013
Good day mate!
Answer:
The answer is C and if not C then maybe B
Step-by-step explanation:
Hope this helped have a good day!!! :) :)
(2a-3)(b-a)-3a(3a+b)
Answer: -ab - 11a^2 - 3b + 3a
Step-by-step explanation:
i think this is what you're wanting? if not just comment what you need and i'll retry it!
Convert 54 miles per gallon into kilometres per litre (km/1).
Use the conversions 5 miles = 8 kilometres and 2 gallons = 9 litres.
If your answer is a decimal, give it to 1 d.p.
Using the conversion factors 5 miles= 8 kilometres and 2 gallons=9 litres the 54 miles per gallon into kilometres per litre is 19.2 km/L.
We have to convert 54 miles per gallon into kilometres per litre(km/l).
Given,
5 miles= 8 kilometres
2 gallons=9 litres.
These are the conversion factors to solve the problem. Using this conversion factors we have to find the equivalence of 54 miles per gallons in km/l.
From the given information we have,
54 miles/gallon x 8 km/5 miles x 2 gallons/ 9 litres
Canceling the units in the numerator and denominator we get.
=54 x 8km/5 x 2/9 litres
which will give us the value for km/l
Multiplying the denominators we get,
=54x8x2/45 km/l
=864/45 km/l
=19.2 km/l
Hence, the conversion of 54 miles per gallon into kilometres per litre is 19.2.
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