Answer:
93
Step-by-step explanation:
So use order of operations
15-3yi=1/2x+2i solve for x and y
Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
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g(x) = 3x - 2 Find g(-4)
Step-by-step explanation:
g(x) = 3x - 2
g(-4) = 3(-4) - 2
= -12 -2
= -14
Answer:
Given : g(x) = 3x-2
To find : g(-4)
Step-by-step explanation:
Solution : put g(x) = -4
Now,
g(-4) = 3(-4)-2
=-12-2
=-14
So,the g(-4) is -14....
I hope this may help you ❤️
Find the solution to the following system using substitution or elimination: y = - 2x + 7 y = 3x - 8 O A. (1,1) O B. (2,1) O C. (3,1) O D. (3,2)
The required solution to the given system of equations is (3,1) using the substitution method.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The system of given equations following as:
y = - 2x + 7 ....(i)
y = 3x - 8 ....(ii)
We have to determine the solution to the given system using substitution or elimination.
The required solution using the substitution method would be as;
Substitute the value of the equation y = 3x - 8 in equation (ii), and solve for x
3x - 8 = - 2x + 7
3x + 2x = 7 + 8
5x = 15
x = 15/5
x = 3
Substitute the value of x = 3 in equation (ii), and solve for y
y = 3(3) - 8
y = 9 - 8
y = 1
Thus, the solution to the given system of equations is (3,1).
Learn more about the equation here:
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The tallest basketball player in the school's basketball team is 6 feet tall . Jacobs height is 11/12 of the height of the tallest basket ball player. What is jacobs height.
Answer:
Jacob is 5 1/2 ft
(>'-'<)
PLS I REALLY NEED HELP: Write a function rule for the data in the following table.
Answer: 4x3=12 5x3=15 6x3=18 7x3=21 This is multiplied by 3
Step-by-step explanation:
i need help please lol
Answer:
that's a right angle and its equals 90° but I think you add all of them 56°,31°, and x°
Answer:
x should equal 93
Step-by-step explanation:
180° - 56° - 31 degrees = 93°.
Let me if its wrong and I will correct it if is.
What is the domaun of the relation
{(3, 4), (4, 3), (4, 4), (5, 2)}?
o {2, 3, 4, 5}
o {3, 4, 5}
o {4}
o {2, 3, 4}
Answer:
[3,4,5]
Step-by-step explanation:
the answer is [3,4,5,]
because domain means it is the value of x.
Which statement about the angle measures is true?
mZBAC + m2ABC = 95
mZBAC + m2ACB = 85
mZBAC-MZABC = 85
mZBAC + m2ACB =95
DONE
My Progress
Answer:
i think its the 2nd one
Step-by-step explanation:
15 + x ≤ –45 solve using inverse opertation
I believe the answer is x ≤ -60.
what is sum of 7+3(-4)(2)
Answer:
-17
Step-by-step explanation:
-4*2=-8
-8*3=-24
-24+7=-17
question 14 I mark as brainliest
Answer: Number 4
Step-by-step explanation: None
The price of Stock A at 9 A.M. was $15.75. Since then, the price has been increasing at the rate of $0.05 per hour. At noon, the price of Stock B was $16.53. It begins to decrease at a rate of $0.13 per hour. If the stocks continue to increase and decrease at the same rates, in how many hours will the prices of the stocks be the same?
Answer: 3.5
Step-by-step explanation:
Answer:
give me a answer
Step-by-step explanation:
What is |1 - 8i|?
Please answer this question
Answer:
the answer is complicated it is 5 actully
Step-by-step explanation:
the answer is 5
Answer:
√(65) Simplified
Step-by-step explanation:
A manufacturing plant produces custom hardware for specific applications in construction. One particular kind of bolt that is intended to have a length of 84mm is produced by two different machines, A and B. Tristan is an employee in the department that produces this bolt. He randomly selects samples of 100 bolts from each machine and measures the length of each one. The lengths of the bolts, in millimeters, are shown in the table below. Each machine produced a bolt that has a length of 84.05mm.Use Excel to calculate each machine's z-score for producing a bolt that has a length of 84.05mm.Round your answers to two decimal places.Machine A Machine B84.017 83.97183.999 83.9984.011 84.00284.007 84.01884.008 83.9884.016 83.99384 83.98884.026 84.00484.009 83.99184.031 83.95584.017 84.01584.022 83.96684.03 83.99584.07 83.97584.018 83.94484.05 83.9384.049 83.99984.026 83.98283.999 83.94884.002 83.95284.057 83.98483.991 84.00284.016 83.98684.006 84.0183.987 83.98384.034 84.01984.035 83.95884.006 83.99284.021 83.98784.022 83.97484.028 83.99684.004 83.98584.032 83.97884.02 83.98684.026 83.96284.041 83.9784.035 84.00483.996 84.00784.034 83.97784.042 83.96984.002 83.97384.019 83.97484.029 83.99184.016 83.97484.014 84.00284.014 83.97884.018 83.99584.014 8484.032 83.99284.042 83.99483.999 84.00284.003 83.95884.045 83.96584.024 83.98984.033 83.98384.031 83.99784.014 83.96183.983 83.97384.055 83.98384.024 83.96584.035 83.95684.052 83.98484.041 83.9584.029 83.97584.017 83.95784.006 83.97884.013 83.98484.013 83.94384.039 83.93984.008 83.99784.029 83.9984.02 83.98384.046 83.95784.004 84.00384.036 83.98984.013 83.97284.025 84.00683.979 83.98884.015 83.9784.01 84.00984.026 83.99184.016 83.9684.024 83.94584.024 83.99684.018 83.97384.006 83.96384.039 83.95984.004 84.01983.992 83.95784.007 84.00184.04 84.01383.999 8484.007 83.98484.009 83.96784.031 83.94884.003 83.98584.01 83.98884.011 83.96384.051 83.98584.002 84.001Provide your answer below: The z-score for machine A is___ and the z -score for machine B is ____
Answer:
The formula calculated the Z-score for all data pointsStep-by-step explanation:
I have taken out time to prepare the raw file as a CSV file (comma separated variable) please see attached the excel format.
Z-SCORE= (DataPoint-AVERAGE(DataSet))/STDEV(DataSet)
IN EXCEL,
AVERAGE, an excel function that calculates the Average of data set
STDEV.S: calculates the standard deviation while treating the data as a ‘sample’ of a population.
STDEV.P: This function calculates the standard deviation while treating the data as the entire population.
kindly find attached the excel sheet, with calculations done
Kindly let me know if you need more information,
..............................................
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals). a. The area to the left of is .
This question is incomplete, the complete question is;
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)
a. The area to the left of z is 0.8
b. The area to the left of z is 0.882
c. The area to the right of z is 0.8225
(Hint: Enter the positive z-value)
Answer:
a) z = 0.84
b) z = 1.185
c) z = -0.925
Step-by-step explanation:
a)
area to the left of z is 0.8
Making use of the standard normal table
p( Z < z ) = 0.8
we check the the probability of 0.8 in the standard normal table
so the corresponding value of z is 0.84
p( Z < 0.84 ) = 0.8
z = 0.84
b)
area to the left of z is 0.882
Making use of the standard normal table
p( Z < z ) = 0.882
we check the the probability of 0.882 in the standard normal table
so the corresponding value of z is 1.185
p( Z < 1.185 ) = 0.882
z = 1.185
c)
area to the right of z is 0.8225
Making use of the standard normal table
p( Z > z ) = 0.8225
1 - p( Z < z ) = 0.8225
p( Z < z ) = 1 - 0.8225
p( Z < z ) = 0.1775
p( Z < -0.925 ) = 0.1775
z = -0.925
∠DAY is a right angle if m∠DAY = ½ x + 34 then solve for the value of x algebraically please help
Answer:
112°Step-by-step explanation:
Given∠DAY is a right angleand
m∠DAY = 1/2x + 34 Solving for xRight angle equals 90°, therefore
1/2x + 34° = 90°1/2x = 90° - 34°1/2x = 56°x = 56°*2x = 112°Which equation can be used to find 40 percent of 252
Answer:
you can look that up on google, answer is 100.8
Step-by-step explanation:
1. A person spends1/4 -part of his
income on food, 2/3part on house
rent and remaining * 630 on other
items. Find his house rent.
(a) * 2050
(b) 5040
(c) * 1000
(d) None of these
Answer:
*2520
Step-by-step explanation:
A quarter of him income was spent on food
X (representing his income) - x/4= 3x/4
Then 2/3 was spent on house rent. Notice the, the question didnt say 2/3 of his income. Therefore it would be 2/3 of what is remaining after he pays for food.
2/3 * 3x/4= x/2
3x/4-x/2=x/4.
The remaining after all expenses are paid is 630. So:
x/4=630
x=630*4
x=2520
1/4 + 2/3 + 1/12 = 1
That is fraction on
Food + house rent + other items = Total amount
If 1/12 = 630.............. equation 1
Then 1/4 + 2/3 = 11/12
11/12= x................. equation 2
Cross multiply equation 1 & 2
1/12*x = 1155/2
To find x, cross multiply again
2x = 13860
x = 13860/2
x = 6930
This means that 11/12 + 1/12 = 6930 + 630
= 7560
Therefore 2/3(fraction for house rent)*7560(total amount)=5040
Answer is 5040
4-4/9x=2/3
Rewrite so there no more fractions
Answer:
x=7.5
Step-by-step explanation:
4-4/9x=2/3
-4/9x=2/3-4/1
-4/9x=-12/3-2/3
-4/9x=-10/3
TIMES 3 To each side.
-4x=-30
x=7.5
Will had 837 stamps in his collection. He
had 187 stamps from Tobago. The rest of his
stamps were from Fiji. How many stamps did
Will have from Fiji?
otebo...
Posted today at 8:49 am
Write a comment
Answer:
650 from fiji
Step-by-step explanation:
837-187=f
837-187=650
I’ll mark Brainly! Andy deposits $25 in his checking account.
Bay City is 12 feet above sea level.
The team lost 12 yards on the play.
The temperature is 12 degrees below zero.
Anna withdrew $25 from the ATM.
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for of the successful bids and of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Complete question is;
A consulting firm submitted a bid for a large research project. The firm's management initially felt they had a 50-50 chance of getting the project. However, the agency to which the bid was submitted subsequently requested additional information on the bid. Past experience indicates that for 74% of the successful bids and 39% of the unsuccessful bids the agency requested additional information.
1. What is the prior probability of the bid being successful (that is, prior to the request for additional information)?
2. What is the conditional probability of a request for additional information given that the bid will ultimately be successful?
3. Compute the posterior probability that the bid will be successful given a request for additional information (to 2 decimals).
Answer:
1) 0.5
2)0.74
3) 0.65
Step-by-step explanation:
1) Since we are told that they had a 50-50 chance of getting the project, Thus;
Probability of a successful bid is;
P(Successful bid) = 50/(50 + 50) = 50/100 = 0.5
2) We are told that for 74% of the successful bids, the agency requested additional information. Thus;probability of a request for additional information given that the bid will ultimately be successful is;
P(request|successful) = 74% = 0.74
3) For us to find the posterior probability that the bid will be successful given a request for additional information will be gotten using bayes theorem to get;
P(successful|request) = [P(request|successful) × P(Successful bid)] / [(P(request|successful) × P(Successful bid)) + (P(request|unsuccessful bid) × P(unsuccessful bid))]
P(request|unsuccessful bid) is given as 0.39 and P(unsuccessful) will be 0.5.
Thus;
P(successful|request) = (0.74 × 0.5)/[(0. 74 × 0.5) + (0.39 × 0.5)] ≈ 0.65
Name the shaded angle in four different ways.
Answer:
Step-by-step explanation:
ABC
CBA
1
B
Answer:
1 ABC CBA B is the correct answers
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What was Lenny’s total gross income for the year?
a.
$58,475
b.
$59,730
c.
$60,985
d.
$62,080
Answer:
d. $62,080
Step-by-step explanation:
Annual earned income = $58,475
Passive income = $1255
Capital gains = $2350
Unknown:
Total gross income for the year = ?
Solution:
Gross income is the some of all the income within a given period time.
Gross income = Annual income earned + Passive income + Capital gains
= $58,475 + $1255 + $2350
= $62,080
His gross income is $62,080
Answer:
His gross income is $62080
Step-by-step explanation:
Gross income, in other words, means total income. So if you want to find the gross income, you have to add ALL his earnings together.
$58475+$1255+$2350=$62080
And that is the final answer, since that his is only income earned.
Simplify the
composite function
(g o f) (x)
f(x)=2x+3
g(x)=x
Answer:
[tex]2x^{2} +3x[/tex]
Step-by-step explanation:
g(2x+3)
x(2x+3)
2x^2+3x
Vincent’s baseball coach suggested that he drink one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?
Answer:
8 eight ounce glasses
Step-by-step explanation:
1 gallon = 128 oz
.5 gallons = 64 oz
64 oz / 8 oz glasses = 8 8-oz glasses
Which is f(–3) for the quadratic function graphed?
Answer:
the answer is -9
could you also please mark me as brainliest?
Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
-Please provide step by step :)
Answer:
3.5 hours
Step-by-step explanation:
It is given that,
Velocity of first car, v = 20 mph
Velocity of second car, v' = 60 mph
They are moving in opposite direction. Their relative speed is given by :
V = 20 mph + 60 mph = 80 mph
Distance, d = 280 miles
So,
[tex]t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h[/tex]
Hene, they will be 280 mile apart in 3.5 hours.
Solve the inequality for n
14 < n - 3
Answer:
n>17
Step-by-step explanation:
Step 1: Flip the equation.
n-3>14
Step 2: Add 3 to both sides.
n-3+3>14+3
The value of the n is more than 17 which is mathematically given in the form of an inequality equation as n > 17.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The inequality equation is given below.
14 < n - 3
Add 3 on both sides then we have
17 < n
More about the inequality link is given below.
https://brainly.com/question/19491153
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