Solve for x in simplest form.
Answer:
\(x=-\frac{4}{5}\)
Step-by-step explanation:
\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)
Suppose an industrial/organizational psychologist is interested in the relationships between job satisfaction, job performance, and job compensation. She has data from five different countries on the average monthly salaries paid to computer programmers. She begins her analysis by converting all of the salary data into U.S. dollars:
Country Average monthly salary (U.S. dollars) Standard deviation (U.S. dollars) Original currency
the Czech Republic $1,059 $158.80 koruna
Latvia $790 $118.60 lat
Korea $2,245 $673.60 won
Romania $646 $96.80 leu
the United States $4,141 $1,242.20 dollar
To appreciate the differences among the countries, she calculates the z scores for a computer programmer making $1,500 per month. Complete the table.
Country z score for $1,500 salary
the Czech Republic Latvia Korea Romania the United States Suppose a computer programmer in each of the five countries listed is offered a salary of $1,500 per month. Using the z scores and assuming that the computer programmer prefers a salary that has a higher relative value, the computer programmer from ______(what country) will likely be the most pleased with the offer, because a salary of $1,500 per month for this country corresponds to the_____. a) highest z score
b) lowest z score
c) z score closest to zero
By answering the above question, we may state that Romania $766.51 $646.96.80 leu 0.940 and by equation United States $4,141.00 $1,242.20 dollars 0.000 $4,141
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.
z = (x - μ) / σ
where x is the $1,500 wage, is the average income across all countries, and is the standard deviation across all countries.
Country typical monthly income (U.S. dollars) Normative deviation (U.S. dollars) original money Z score for a mean income of $1,500 in dollars
Republic of the Czech 1,059 korunas, or $158.80, $1,096.89 -0.913
Latvia $790 Lats $118.60 $1,515.77 -0.877
$2,245 $673.60 in Korean Won $1,956.24 -0.498
Romania $766.51 $646.96.80 leu 0.940
United States $4,141.00 $1,242.20 dollars 0.000 $4,141
As $1,500 per month for Romania corresponds to the highest z score of 0.94, suggesting that the income is rather high compared to Romania's mean wage, the computer programmer from Romania will probably be the most happy with the offer.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Dwayne estimated his mass as
6 kilograms. Is his estimate reasonable? Explain your answer.
Answer:
no this is only about 13 pounds
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
it's not reasonable
Help! Look at the figure. If mzJ = 55, find m
90
35
70
55
The value of the required missing angle is;
m<JKM = 35°
How to find the missing angle of the triangle?We know from geometry that the sum of angles in a triangle sums up to 180 degrees.
Now, we are trying told that in the given Triangle that the angle m<J = 55 degrees.
We also see that the angle <KMJ is equal to 90 degrees becasue it is a right angle.
Thus to find the angle m<JKM, we can write the name expression as;
m<JKM = 180 - (90 + 55)
m<JKM = 35°
Thus that's the value of the required missing angle.
Read more about Missing angle at: https://brainly.com/question/28293784
#SPJ1
Consider the trash bag problem. Suppose that an independent laboratory has tested trash bags and has found that no 30-gallon bags that are currently on the market have a mean breaking strength of 50 pounds or more. On the basis of these results, the producer of the new, improved trash bag feels sure that its 30-gallon bag will be the strongest such bag on the market if the new trash bag’s mean breaking strength can be shown to be at least 50 pounds. The mean of the sample of 40 trash bag breaking strengths in Table 1.9 is x⎯⎯x¯ = 50.560. If we let µ denote the mean of the breaking strengths of all possible trash bags of the new type and assume that σ equals 1.68:
(a) Calculate 95 percent and 99 percent confidence intervals for µ. (Round your answers to 3 decimal places.)
95 percent confidence intervals for µ is [, ].
99 percent confidence intervals for µ is
The 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).
What is confidence interval?
A confidence interval is defined as the estimate's mean plus and minus the estimate's range.
We are given that the mean(x) = 50.560, s = 1.68, and the sample size is over 30.
Using the formula, we get
95% confidence interval
⇒Mean(x) (+/-) 1.96 (1.68/v40)
⇒(50.560 - 0.511 , 50.560 + 0.511)
⇒(50.049, 51.071)
99% confidence interval
⇒Mean(x) (+/-) 2.576 (1.65/v40)
⇒(50.560 - 0.672, 50.560 + 0.672)
⇒(49.888, 51.232)
Hence, the 95 percent confidence intervals for µ is (50.049, 51.071) and for 99 percent confidence intervals is (49.903, 51.247).
Learn more about confidence interval from the given link
https://brainly.com/question/20309162
#SPJ1
HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?
Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.
To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.
The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.
Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.
To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:
£72 / 5 = £14.40
Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.
for more such questions on mean
https://brainly.com/question/1136789
#SPJ8
f(n) = -3(n - 1); -51
Answer: n=18
Step-by-step explanation:
f(n) = -3(n - 1); -51
-51=-3(n - 1)
-51/(-3)=-3(n - 1)/(-3)
n-1=17
n+1-1=17+1
n=17+1
n=18
Given the triangle below, what is m/_A, rounded to the nearest tenth?
Answer:
A
Step-by-step explanation:
using the Cosine Rule in Δ ABC
cosA = \(\frac{b^2+c^2-a^2}{2bc}\)
where a, b, c are the sides opposite A, B , C
here a = 10 , b = 12 , c = 8
cosA = \(\frac{12^2+8^2-10^2}{2(12)(8)}\) = \(\frac{144+64-100}{192}\) = \(\frac{108}{192}\) , then
∠ A = \(cos^{-1}\) ( \(\frac{108}{192}\) ) ≈ 55.8° ( to the nearest tenth )
The average body mass index of children 9 years old is 18.4 with a standard deviation of 4.5. If it is known that the distribution is approximately normal, what is the body mass index of a 9-year-old child at the 82nd percentile
Answer:
Mass index for a 9-year-old child (at 82nd percentile ) = 22.51
Step-by-step explanation:
Given:
Mass index for a 9-year-old child = 18.4
Standard deviation = 4.5
Find:
Mass index for a 9-year-old child (at 82nd percentile )
Computation:
At 82nd percentile,
p-value = 0.82
p-value from Z table score = 0.9153
Mass index for a 9-year-old child (at 82nd percentile ) = Mass index for a 9-year-old child + p-value from Z table score(Standard deviation)
Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 0.9153(4.5)
Mass index for a 9-year-old child (at 82nd percentile ) = 18.4 + 4.11
Mass index for a 9-year-old child (at 82nd percentile ) = 22.51
Here is a visual pattern.
Figure
1
2
3
4
Number of Tiles
4
7
10
13
how many tiles will be in the next figure
Answer:
There will be 16 tiles in the next figure
Step-by-step explanation:
As the figures go up by one, the tiles increase by 3
The equation of the line would be
y = 3x + 1
Four-fifths of a spinach casserole is leftover after Sam has lunch. Jackie and Alicia each take 1/2 of the left over casserole. Jackie eats only 7/8 of her portion. What fraction of a whole casserole did Jackie eat? Express your answer as a simplified fraction.
Answer:
1/4
Step-by-step explanation:
Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole
Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
There are 6 pails in a row. The first 3 pails are filled with water. How can you make only one adjustment to make the following pattern: full, empty, full, empty, full and empty?
The pattern is empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Given that, there are 6 pails in a row. The first 3 pails are filled with water.
The easiest way to solve this problem is to empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty. This will create the desired pattern of full, empty, full, empty, full, empty.
Therefore, empty the second pail, leaving the first and third pail full and the fourth and sixth pails empty.
Learn more about the pattern here:
https://brainly.com/question/23136125.
#SPJ1
The measure of one angle of a right triangle is 26°. Find the measure of the other angle.
Enter an integer or decimal number [more...]
Question Help:
Post to forum
Calculator
Answer:
64°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
let the third angle be x , then
x + 90° + 26° = 180°
x + 116° = 180° ( subtract 116° from both sides )
x = 64°
the other angle is 64°
Which statement best explains whether the table represents a linear or nonlinear function? Input (x) Output (y) −2 7 −5 4 −8 1 −11 −2 It is a linear function because there is a constant rate of change in both the input and output values. It is a nonlinear function because there is a constant rate of change in both the input and output values. It is a linear function because the input values are decreasing. It is a nonlinear function because the input values are increasing.
Answer:
The table represents a linear function because the rate of change is constant or all the points lie on a straight line.
Step-by-step explanation:
From the given table it is noticed that the line passing through the points (2,5), (4,10), (6,15) and (8,20).
The slope of the line is
m= y2-y1/x2-x1 = 10-5/4-2 = 5/2
The slope of line is . It means the value of y increased by 5 if the value of x increased by 2.
From the given points we can noticed that the value of y increased by 5 if the value of x increased by 2. So, the function has same slope for any two points.
Since the rate of change (slope) is same for all points, therefore the table represents a linear function.
If we plot these points on a coordinate plane and connect then we get a straight line. I means it is a linear function.
The data given in the table represents the function is linear function.
Input(x) = -2 -5 -8 -11
Output (y) = 7 4 1 -2
Functions is defined as relationship between sets of values.
Here,
The data available in the table, input and output.
In input(x) there is difference of -3 in consecutive values, and in output(y) values there is difference of -3 in consecutive values so difference is same in both values.
Thus, the relationship shows in the table is linear. So as the function is linear.
learn more about function here:
brainly.com/question/21145944
#SPJ2
12 1/2% of what amount is $71.20
Answer:
8.9
Step-by-step explanation:
Subtract 87.5% of the number by 71.20 to get your answer
Consider the equation 3x3 + 14x2 – 14x + 60 = 0. The real solution is –6. What are the nonreal solutions?
HURRY Negative 2 i StartRoot 26 EndRoot, 2 i StartRoot 26 EndRoot.
4 minus 2 i StartRoot 26 EndRoot, 4 + 2 i StartRoot 26 EndRoot.
StartFraction negative 2 + i StartRoot 26 EndRoot Over 3 EndFraction, StartFraction negative 2 minus i StartRoot 26 EndRoot Over 3 EndFraction.
StartFraction 2 + i StartRoot 26 EndRoot Over 3 EndFraction, StartFraction 2 minus i StartRoot 26 EndRoot Over 3 EndFraction.
The non-real solutions of the polynomial expression are x = (2 + i√26)/3 and x = (2 - i√26)/3
How to determine the non-real solutions?The equation of the polynomial expression is given as:
3x^3 + 14x^2 - 14x + 60 = 0
From the question, we have
Real solution = -6
Rewrite the above equation as
x = -6
Add 6 to both sides of the equation
So, we have
x + 6 = 0
The next step is to divide the polynomial equation 3x^3 + 14x^2 - 14x + 60 = 0 by x + 6 = 0
This is represented as
3x^3 + 14x^2 - 14x + 60/x + 6
Using a graphing calculator, we have
3x^3 + 14x^2 - 14x + 60/x + 6 = 3x^2 - 4x + 10
Next, we determine the solution of the quadratic expression 3x^2 - 4x + 10 using a quadratic formula
So, we have
x = (-b ± √(b² - 4ac))/2a
This gives
x = (4 ± √((-4)² - 4 * 3 * 10))/2 * 3
So, we have
x = (4 ± √-104)/6
This gives
x = (4 ± 2√-26)/6
Divide
x = (2 ± √-26)/3
Rewrite as
x = (2 ± i√26)/3
Split
x = (2 + i√26)/3 and x = (2 - i√26)/3
So, the conclusion is that
Using the polynomial expression, the non-real solutions are x = (2 + i√26)/3 and x = (2 - i√26)/3
Read more about polynomial expression at
https://brainly.com/question/17517586
#SPJ1
You are given that z > 2. Write an inequality for each expression.
a) 2z+ 9
b) 3(z - 4)
c) 4+2z
d) 5(3z-2)
a) The inequality for the expression 2z + 9 is 2z + 9 > 13.
b) The inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The inequality for the expression 4 + 2z is 4 + 2z > 8.
d) The inequality for the expression 5(3z - 2) is 15z - 10 > 20.
a) To write an inequality for the expression 2z + 9, we can multiply the given inequality z > 2 by 2 and then add 9 to both sides of the inequality:
2z > 2 * 2
2z > 4
Adding 9 to both sides:
2z + 9 > 4 + 9
2z + 9 > 13
Therefore, the inequality for the expression 2z + 9 is 2z + 9 > 13.
b) For the expression 3(z - 4), we can distribute the 3 inside the parentheses:
3z - 3 * 4
3z - 12
Since we are given that z > 2, we can substitute z > 2 into the expression:
3z - 12 > 3 * 2 - 12
3z - 12 > 6 - 12
3z - 12 > -6
Therefore, the inequality for the expression 3(z - 4) is 3z - 12 > -6.
c) The expression 4 + 2z does not change with the given inequality z > 2. We can simply rewrite the expression:
4 + 2z > 4 + 2 * 2
4 + 2z > 4 + 4
4 + 2z > 8
Therefore, the inequality for the expression 4 + 2z is 4 + 2z > 8.
d) Similar to the previous expressions, we can distribute the 5 in the expression 5(3z - 2):
5 * 3z - 5 * 2
15z - 10
Considering the given inequality z > 2, we can substitute z > 2 into the expression:
15z - 10 > 15 * 2 - 10
15z - 10 > 30 - 10
15z - 10 > 20
Therefore, the inequality for the expression 5(3z - 2) is 15z - 10 > 20.
for such more question on inequality
https://brainly.com/question/17448505
#SPJ8
CAN SOMEONE HELP WITH THIS QUESTION?
We can use the given formula for the rate of change of the weight of the solid to estimate the amount of solid 1 second later.
If there is 6 grams of solid at time t, then f(t) = 6 g.
To estimate the amount of solid 1 second later, we can use the derivative formula:
f'(t) = −2f(t)(5+ f(t))
We want to estimate the value of f(t+1), which represents the weight of the solid 1 second later.
To do this, we can use Euler's method, which is an approximation method for solving differential equations.
Euler's method uses the formula:
f(t+1) ≈ f(t) + f'(t)Δt
where Δt is the time step (in minutes).
Since we want to estimate the amount of solid 1 second later, we can set Δt = 1 minute.
Plugging in the values for f(t) and f'(t), we get:
f(t+1) ≈ f(t) + f'(t)Δt
f(t+1) ≈ 6 - 2(6)(5+6)
f(t+1) ≈ -66
Therefore, the estimated weight of the solid 1 second later is -66 grams. However, this result does not make physical sense since weight cannot be negative.
It is possible that the given formula for f'(t) does not accurately describe the behavior of the solid, or that there was an error in the calculation.
or maybe im just bad at maths
Consider the curve given by the equation x2 − y2 = 2x + y + xy − 4. Find the equation
of the tangent line to the curve at the point (1, 1).
The equation of the tangent line at (1,1) is given as follows:
y - 1 = -0.25(x - 1).
How to obtain the equation of the tangent line?The curve for this problem is given as follows:
x² - y² = 2x + y + xy - 4.
Applying implicit differentiation, we obtain the slope of the tangent line, as follows:
2x - 2y(dy/dx) = 2 + (dy/dx) + x(dy/dx) + y
(dy/dx)(1 + x + 2y) = 2x - 2 - y
m = (2x - 2 - y)/(1 + x + 2y).
At x = 1 and y = 1, the slope is given as follows:
m = (2 - 2 - 1)/(1 + 1 + 2)
m = -0.25.
Hence the point-slope equation is given as follows:
y - 1 = -0.25(x - 1).
More can be learned about the equation of a tangent line at https://brainly.com/question/7252502
#SPJ1
Derivative Applications:
Exercise "Equation of the slope of the tangent line"
Answer:
refer to the attachment
In need of help immediately !!!
The graph shows the speed of a car while it is
slowing down to a stop.
a) Using an appropriate triangle with two of its
vertices on the curve, estimate the distance
travelled by the car during this time.
b) Is your answer an underestimate or an
overestimate?
A man is four times as old as his son. In 3 years, the father will be three times as old as the son. How old is each now?
The man is 27 years old and the son is 9 years old.
We can write the son's age as 'x', and therefore write the man's age as 4x. In 3 years, both their ages will increase by 3, so the son's age is now x + 3, and the man's age is 4x + 3.
We are told that the man is now 3 times older than his son, which means his current age, 4x + 3, is the same as 3 times the son's current age, which is x + 3.
Therefore we can write an equation:
4x + 3 = 3(x + 3)
4x + 3 = 3x + 9
- 3x
x + 3 = 9
- 3
x = 6
We can now substitute this in to find their current ages:
Son's age = x + 3 = 6 + 3 = 9
Man's age = 4x + 3 = 24 + 3 = 27
I hope this helps! Let me know if you have any questions :)
Which statement correctly compares the centers of the distributions? A. The median of Southview HS is greater than the median of East Hills HS B. The mean of Southview HS is greater than the mean of East Hills HS C.The range of East Hills HS is greater than the range of Southview HS D. The Mean of East Hills HS is greater than the Mean of South view HS
The statement that correctly compares the centers of the distributions is this:
D. The mean of East Hills HS is greater than the mean of Southview HS.
Since, The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:
For East Hills HS
25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4
= 875
And, Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25
Hence,
Mean = 875/25
Mean = 35
For Southview
25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2
= 725
Frequency = 2 + 6 + 9 + 6 + 2 =25
Hence, Mean = 29
So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.
Learn more about centers of distribution here:
brainly.com/question/825426
#SPJ1
45 POINTS WILL GIVE BRAINLIEST PLS HELPPPPPPPP
A recipe for 8 pancakes needs the following:
1 1/4 cups of milk
1 1/2 cups of flour
1 egg
Maria has these ingredients.
1 quart of milk
8 cups of flour
12 eggs
How many more cups of milk does Maria need to make 40 pancakes in total?
Answer:
2 1/4 cups
Step-by-step explanation:
the first step is to determine how many cups would be needed for 1 pancake
1 1/4 ÷ 8
5/4 x 1/8 = 5/32 cups
the second step is to determine how many cups would be needed for 40 pancakes
5/32 x 40 = 25/4 = 6 1/4
The next step is to convert quart to cups
1 quart = 4 cups
So Maria has 4 cups of milk.
the cups she needs more = 6 1/4 - 4 = 2 1/4 cups
The Super Lotto Plus game consists of a player selecting five different numbers from 1 to 47 and a mega number from 1 to 27 (the order is unimportant and the mega number need not be different from the other numbers). (11) What is the probability of all five numbers and the mega number matching the winning numbers
Answer:
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, the order of the numbers is not important. So we use the combinations formula to solve this question.
Combinations formula:
\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Probability of the five numbers matching:
Desired outcomes: 1 -> the matching numbers
Total outcomes: 5 from a set of 47. So
\(T = C_{47,5} = \frac{47!}{5!(47-5)!} = 1533939\)
Probability:
\(p_{S} = \frac{1}{1533939}\)
Probability of the mega number matching:
1 from a set of 27. So
\(p_M = \frac{1}{27}\)
Probability of both matching:
Independent events, so we multiply the probabilities:
\(p = p_S*p_M = \frac{1}{1533939}*\frac{1}{27} = \frac{1}{41416353}\)
1/41416353 probability of all five numbers and the mega number matching the winning numbers
Please help me answer this question please...
answer is here about stem and leaf
I need help with this please help me
Answer: 45
Step-by-step explanation:
10 times 10 times 100 divded by 1 times that again 10000
Answer:
100,000,000
Step-by-step explanation: