Answer:
890.908
Step-by-step explanation:
Given that :
Median weekly salary for males :
M(x) = 0.009x3 - 0.29x2 + 30.7x + 439.6
x = number of years after 1980
Median weekly salary for all employees :
T(x) = 0.012x3 - 0.46x2 + 56.1x + 732.3
Estimate the median weekly earnings of a full-time female employee with at least a Bachelor's degree in 2006
Estimated median weekly earning for a full time female employee with at least bachelor's degree ; F(x)
F(x) = T(x) - M(x)
F(x) = (0.012x3 - 0.46x2 + 56.1x + 732.3) - (0.009x3 - 0.29x2 + 30.7x + 439.6)
F(x) = (0.012 - 0.009)x3 + (-0.46 + 0.29)x2 + (56.1 - 30.7)x + (732.3 - 439.6)
F(x) = 0.003x³ - 0.17x² + 25.4 + 292.7
x = 2006 - 1980 = 26
F(26) = 0.003x³ - 0.17x² + 25.4x + 292.7
0.003(26)^3 - 0.17(26)^2 + 25.4(26) + 292.7 = 890.908
=
HELP! write y+4 =-2/3(x-9) in standard form
algebra 2. pls help:(
In parallelogram WXYZ, what are the coordinates of the point of intersection of WY and ZX?
Point of Intersection = ____ ____
Answer:
Point of intersection of WY and ZX is (3.5, 3.5).
Step-by-step explanation:
Since, diagonals of a parallelogram bisect each other,
Point of intersection of the diagonals will be midpoint of each diagonal.
By this property, midpoint (x, y) of the segment joining W(-2, 6) and Y(9, 1) will be,
[tex]x=\frac{x_1+x_2}{2}[/tex]
x = [tex]\frac{-2+9}{2}[/tex] = 3.5
Similarly, y-coordinate of the midpoint will be,
y = [tex]\frac{y_1+y_2}{2}[/tex]
y = [tex]\frac{6+1}{2}[/tex] = 3.5
Therefore, point of intersection of the diagonals of the given parallelogram will be (3.5, 3.5).
Determine the ending balance in the account if you deposit $720 at 6% for 5 days
Answer:
Step-by-step explanation:
S.I =720×6×5/100×365
=21600/36500
=0.59178
So balance will be 720+0.59178
=720.59178
There was a country concert held at the park. For every 3 men there were 5 women that went to the concert. If 30 more women attended the concert than men, how men and how many women attended the concert.
Answer:
3m == 5w, that means for such unit, there is a 2 person difference
30 person difference = 30/2 = 15units
and again one unit means 3m and 5w
so 15*3men, and 15*5women
and you can check the difference is 30
Help look at the image
Answer:
There. I looked at the image.
The thing is right because they are all the same.
Step-by-step explanation:
Plz mark as Brainliest!
can u pls help me with this question
Answer:
The correct answer is D, 6/8.
Step-by-step explanation:
For ratios or fractions an equivalent fraction has the same value but just more pieces. Think of it like a pizza. But to make sure they are equivalent you have to multiply or divide them by a fraction equal to 1. In other words the numerator and the denominator have to be the same number. So, when we multiply 3/4 by 2/2 you get 6/8 because 3 x 2 = 6 (numerators) and 4 x 2 = 8 (denominators).
If you have any additional questions please don't hesitate to ask me or your teacher to be sure you master the subject. Stay safe and please mark brainliest! :)
What is the slope of the line? PLEASE HELP!
I put D since I believe HL applies here but am not sure. Could anybody please help?
====================================================
Explanation:
Check out the diagram below.
On the left side shows ASA can be used to prove the triangles congruent. Note the color coding to see how the angles match up. Also note that the segment TR is between angles STR and SRT. The order is important because ASA is different from AAS.
Angle STR = Angle VTU because they are vertical angles
Angle SRT = Angle VUT since they are alternate interior angles. Note how SR is parallel to UV. If the lines weren't parallel, then the alternate interior angles would not be congruent.
We can use AAS because if we know two angles of a triangle, we can find the third angle. Despite the fact that something like RST looks like a right angle, we don't have enough info to say it is or not. The square angle marker is missing. So it could be 90 degrees, or it might be something like 89 degrees instead. We don't have enough info. So we cannot use HL.
AAA or AA is not a congruence theorem. It's a similarity theorem. So we cross this off the list.
Please help me this is due tomorrow
Answer:
9
Step-by-step explanation:
Allison traveled a distance of 130 miles in 2
1
hours. What was Allison's average driving
speed, in miles per hour?
Allison's average driving speed in miles per hour is 65.
What is speed?Speed is the ratio of distance and time.
It shows how fast an object is moving at a given time.
We have,
130 miles = 2 hours
Divide 2 on both sides.
130/2 miles = 1 hour
65 miles = 1 hour
Thus,
The average speed is 65 miles per hour.
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Find the slope using the formula.
(-2, -9) and (-6, -6)
How does trig on the coordinate plane differ from trig with triangles?
Answer:
Trig ratios on coordinates can be negative or positive in value
But
Trig ratios on triangles can only be positive
Step-by-step explanation:
The difference is that, the length of sides used in trig on the coordinates is not absolute
What this mean is that it is dependent on the axes that we are and thus might take up a negative or positive value for trig on coordinates
What we are saying is that while trig on triangle can be positive only, trigonometric ratios on coordinates can be negative or positive
which pair of lines are perpendicular lines?
Answer:
D.) y = -1/4x - 6 and y = 4x + 11
Step-by-step explanation:
If two lines are perpendicular, that means that their slopes are opposite reciprocals, or that the product is equal to -1. -1/4 times 4 is -1, so they are perpendicular.
I need help on this one.
Answer: 1/3
Step-by-step explanation:
5(2y-3)-4y=8-2y-15
Justify each step with a property of algebra. Drag the property to the correct row.
What is the area of a square with sides of length 9?
O A. 54 square units
B. 81 square units
O C. 18 square units
O D. 36 square units
SUE
Please help thanks :)
Answer:
A) Symmetric Property Of Equality
Step-by-step explanation:
[tex]The\ symmetric\ property\ of\ equality\ just\ says\ that\ , if\ the\ LHS=RHS; then; RHS=LHS[/tex]
[tex]Here,\\-5=x\\x=-5[/tex]
(1,2) and parallel to 3x+4y=12
Answer:
y=-3/4x+10/4
Step-by-step explanation:
1) Change given equation to slope intercept form:
3x+4y=12
4y=12-3x
y=3-(3/4)x
y=-(3/4)x+3
2) Parallel lines have the same slope, so the first part of the equation is:
y=-(3/4)x+b
3) To find b, we plug in y=2 and x=1 given the prompt:
2=-(3/4)(1)+b
2=-3/4+b
2 3/4=b
10/4=b
4) Therefore, the correct equation is:
y=-3/4x+10/4
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in California. Suppose that the mean income is found to be $22.4 for a random sample of 2128 people. Assume the population standard deviation is known to be $9.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place.
Answer:
[21.9, 22.9] in thousands of dollars
Step-by-step explanation:
The formula for Confidence Interval
= Mean ± z score × standard deviation/√n
Mean = $22.4
Standard deviation = $9.3
n = 2128
z score of 98% confidence interval = 2.326
Confidence Interval = 22.4 ± 2.326 × 9.3/√2128
= 22.4 ± 0.469
Confidence Interval =
22.4 - 0.469
= 21.931
≈ 21.9 in thousand of dollars
22.4 + 0.469
= 22.869
≈ 22.9 in thousands of dollars
Hence, the 98% confidence interval =
[21.9, 22.9] in thousands of dollars
Explain to me in words how you would find the slope of this line and then tell me the answer and how u got it
......
Explanation:
The slope of the line is found by the method: rise/run
You calculate how much the slope rises(goes up) and divide it by run(goes horizontal).
One more thing to note is that: the slope is negative BECAUSE ITS DECREASING.
Your answer: -3/2
If the mean of 20 prices is $10.39, and 5 of the items with a mean of $10.99 are sampled, what is the mean of the other 15 prices?
Answer:
$10.19
Step-by-step explanation:
We are told:
If the mean of 20 prices is $10.39
We have to find the total price
= Mean × number of prices
= 20 × $10.39
= $207.8
5 of the items with a mean of $10.99 are sampled
We would also find the total price
Mean × Number of samples
$10.99 × 5
= $54.95
what is the mean of the other 15 prices?
We find the total prices of the 15 prices
= Total 20 prices - Total of 5 prices
= $207.8 - $54.95
= $152.85
The mean of the other 15 prices
= $152.85/15
= $10.19
Please could you show the working out as well:)
Answer:
( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{15}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{2 + 5}{15}[/tex] = [tex]\frac{7}{15}[/tex]
[tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]\frac{18-7}{21}[/tex] = [tex]\frac{11}{21}[/tex]
[tex]\frac{7}{15}[/tex] , [tex]\frac{1}{2}[/tex] , [tex]\frac{11}{21}[/tex]
LCD (2, 15, 21) = 210
[tex]\frac{98}{210}[/tex] , [tex]\frac{105}{210}[/tex] , [tex]\frac{110}{210}[/tex]
105 - 98 = 7
110 - 105 = 5 ⇒ [tex]\frac{11}{21}[/tex] is closer to [tex]\frac{1}{2}[/tex] ⇒ ( [tex]\frac{6}{7}[/tex] - [tex]\frac{1}{3}[/tex] ) is closer to [tex]\frac{1}{2}[/tex]
Compare. Select <, >, or=.
3.568 ? 3.577
Answer:
3.568 < 3.577
Step-by-step explanation:
3.568 < 3.577
So 3.577 is greater than 3.568
which is the right answer??????
Answer:
D.
Step-by-step explanation:
I'm 70% sure
Brian has 17 fewer marbles
than Kyle. Brian has
21 marbles. How many
marbles does Kyle have?
Answer:
the answer to your question is 38.
There are 38 marbles does Kyle have.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Brian has 17 fewer marbles than Kyle.
And, Brian has 21 marbles.
Now,
Let number of marbles Kyle have = x
Then, Number of marbles Brian have = x - 17
But, Brian has 21 marbles.
So, We get;
x - 17 = 21
x = 21 + 17
x = 38
Thus, There are 38 marbles does Kyle have.
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How far is the robot claw from the winter lane
Answer:
4 blocks.
Step-by-step explanation:
The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equation
h = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
t 0.87 s
t 4 s
t = 8.5 s
t = 16 s
Answer:
B on edge 2022
Explanation:
Picture:
The time it takes the rock to reach the canyon floor is 8.5 seconds.
Option C is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Using the quadratic formula.
t = (-b ± √(b² - 4ac)) / 2a
where a = -16, b = 0, and c = 255.
Now,
Plugging in the values.
t = (-0 ± √(0² - 4(-16)(255))) / 2(-16)
t = (± √(16320)) / (-32)
t = (± 128) / (-32)
So,
The solutions for t.
t = 4 seconds (taking the negative solution)
t = 8.5 seconds (taking the positive solution)
We can eliminate t = 0.87 seconds and t = 16 seconds as they are not solutions to the equation.
Therefore,
The time it takes the rock to reach the canyon floor is 8.5 seconds.
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Jack has a saving account of value $65,550 at the start. The saving account has an interest rate of 3% that is compounded every six months. How long will it take Jack to have $100,000 in his account?
Given:
Principal value = $65,550
Rate of interest = 3% compounded every six month
To find:
The taken to have $100,000 in Jack's account.
Solution:
The formula for amount is
[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.
Interest compounded every six month. It means, interest compounded 2 times in an year.
Substitute A=100000, r=0.03 and n=2 in the above formula.
[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]
[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]
[tex]1.525553=(1.015)^{2t}[/tex]
Taking log on both sides.
[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]
[tex]\log (1.525553)=2t\log (1.015)[/tex]
[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]
[tex]t=14.1838928[/tex]
[tex]t\approx 14.18[/tex]
Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.
AB = BC
5(2x + 2).
3(3x - 1)
Find x:
2
4
-10
16
None of the other answers are correct
Answer:
Step-by-step explanation:
holdup im gonna help
Answer:
x = 2
Step-by-step explanation:
2[3(3x - 1)] = 5(2x + 2)
18x - 6 = 10x + 10
8x = 16
x = 2