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
=
In the orchestra, there
are eight violinists in the
front row. How many
different ways can
they be seated?
Explanation:
We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.
We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.
You could use the nPr formula
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.
The 8 violinists can be seated in 40,320 ways.
What is permutation?A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.
Given In the orchestra, there are eight violinists in the front row,
the sitting arrangement of violinists is done with the help of permutation,
ⁿPₓ = n!/(n - x)!
here n = 8 and x = 8
(n - x)! = (8 - 8)!
(n - x)! = = 0! = 1
⁸P₈ = 8!/1
⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1
⁸P₈ = 40,320
Hence they can be seated in 40,320 ways.
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whats the sum of the numbers in the 15th row of pascals triangle
Answer:
2,3,5,7,11,and 13
Step-by-step explanation:
Hope this helped :))
The sum of the numbers in the 15th row of pascals triangle are 2,3,5,7,11,and 13
What is Pascal triangle?Pascal triangles contains coefficient of 's expanded form's terms.
Thus, 1 is the value in the first row of Pascal triangle.
The variable x has coefficient 1, and that 1 itself, so second row of Pascal triangle has 1 , 1 as values.
For nth row, and its rth term(all counted from 0-indexing(that means, counting of index starts from 0), then that term in Pascal triangle is
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
........
The sum of row n is 2^n, thus the row number with a particular sum;
2^n = sum
n·log(2) = log(sum)
n = log(sum)/log(2)
The sum of the numbers in the 15th row of pascals triangle
2,3,5,7,11,and 13
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Find an equation of the plane through the point (1, -4, 0) and perpendicular to the vector (5, 1, -4). Do this problem in the standard way or WebWork may not recognize a correct answer.
Answer:
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
Step-by-step explanation:
The equation of the plane through (1,-4,0) is,
a(x-1) + b(y+4) + c(z+0) = 0 ....... (1)
Again the plane is perpendicular to the vector (5,1,-4)
So, the direction ratios of the normal to the plane is proportional to the direction ratios of the vector (5,1,-4)
So, a/(5) = b/(1) = c/(-4 )
Let,a/(5) = b/(1) = c/(-4 ) = k
So, a = 5k, b = k and c = -4k
So, from (1) we have,
(5k)(x-1) + (k)(y+4) + (-4k)(z+0) = 0
Thus;
-5(x-1) -(y+4) +4(z+0) = 0
So,
-5x +1 -y-4+4z+0 =0
-5x - y +4z -3 = 0
-5x - y +4z = 3
x = = -5 ; y = -1 ; z = 4 [tex]\bigg | = 3 \bigg |[/tex]
if my dog was born 4 weeks before August 27th how old will my dog be
Answer:
the dog was born on july 30th so the dog would be 3 months and a week old
Step-by-step explanation:
the sum of three times x and 33
Answer:
3x+33
Step-by-step explanation:
This is if you are just looking for an expression.
deduct 18.729 from the sum of 29.178 and 9.65
Answer:
Step-by-step explanation:
the sum of 29.178 and 9.65
29.178
+ 9.650
= 38.828
Sum =38.828
Deduct 18.729 from the sum
38.828
-. 18.729
=20.099
So the answer is 20.099
What is the following product?
RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot times RootIndex 4 StartRoot 7 EndRoot
4 (RootIndex 4 StartRoot 4 EndRoot)
4 StartRoot 7 EndRoot
74
7
Answer:
the answer A .4 (RootIndex 4 StartRoot 4 EndRoot)
Step-by-step explanation:
The product of the radical is [tex]50176\sqrt{7}[/tex]
Multiplication of RadicalData:
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]To multiply the given radical, we can start by solving
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7}[/tex]
We should know that multiplying two identical radicals will give just one of the entity.
[tex]\sqrt{x} * \sqrt{x} = x\\x\sqrt{y} * x\sqrt{y}= (x*x)\sqrt{y}=x^2\sqrt{y}[/tex]
Using this system, we can solve the giving problem.
Let's multiply this through and get the final answer.
[tex]4\sqrt{7} *4 \sqrt{7} * 4\sqrt{7} * 4\sqrt{7} * 4\sqrt{7} = 50176\sqrt{7}[/tex]
The product of the radical is [tex]50176\sqrt{7}[/tex]
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The meal tax at a restaurant is 5.5%. What is the meal tax on a dinner that costs $24?
A. $29.50
B. $1.32
C. $25.32
D. $5.50
A bag contains 28 colored marbles. There are 5 blue marbles, 9 red marbles, 11 yellow
marbles, and 3 clear marbles. What is the ratio of red marbles to yellow marbles?
Answer:
9:11
Step-by-step explanation:
9 red marbles to (or ":") 11 yellow marbles
Answer:
9/11
Step-by-step explanation:
because a ratio is a comparison between two numbers by division.
Answer question 9 plz its a test and i will mark u brainliest
Rearrange the formula to solve for the cost of goods sold (C).
Answer:
Cost of goods sold = Opening inventory + Purchase - closing inventory
Step-by-step explanation:
Cost of goods sold = Opening inventory + Purchase - closing inventory
Cost of goods sold = Sales - gross profit
Cost of goods sold = Revenue – Net Income – Expenses
At the middle school Vanessa attends, there are 240 Grade 6 students, 210 Grade students, and 200 Grade 8 students. Which ratio best compares the number of tudents in Grade 8 to the number of students in Grade 6 at Vanessa's school? A 5:6 ® 5:11 © 6:5 07:8
Answer:
A, 5:6
Step-by-step explanation: :)
Answer:
YAH IM CONFUSEDDD
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
No it is too high
Step-by-step explanation:
plz mark brainliest
The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, two soups, four main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible?
Answer: 96
Step-by-step explanation:
According to the fundamental principle of counting:
Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) x (Choices for desserts)
If there is a restriction to choose between appetizer and dessert.
Then, Total number of meals possible = (Choices for appetizers) x (Choices for soups) x (Choices for main courses) + (Choices for soups) x (Choices for main courses) x (Choices for desserts)
= 6 x 2 x 4 + 2 x 4 X 6
= 48+48
= 96
Hence, the number of three-course meals are possible= 96
Answer:
96?
Step-by-step explanation:
Azrael and Simon are training for track. Azrael trains at a rate of 6 miles every half hour. Simon trains at a rate of 2 miles every 15 minutes. What is the unit rate in mile per hour for each runner? *
A. Azrael = 12 miles per hour ; Simon = 8 miles per hour
B. Azrael = 8 miles per hour ; Simon = 12 miles per hour
C. Azrael = 6 miles per hour ; Simon = 2 miles per hour
D. Azrael =2 miles per hour ; Simon = 6 miles per hour
Answer:
A The first one
Answer:
A
Step-by-step explanation: 30 minutes is half an hour so 6 miles is half the miles he runs an hour. Azrael runs 12 miles in an hour. 15 minutes is 1/4 of an hour. 2 is 1/4 of the miles Simon runs in an hour. 2 times 4 is 8. I'm really bad at explaining, sorry. the answer is A.
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of 500,000; 1,000,000; 5,000,000; 10,000,000; and 100,000,000. (Round your answers to five decimal places.)sample size of 500,000 __________sample size of 1,000,000_________sample size of 5,000,000_________sample size of 10,000,000_________sample size of 100,000,000 ___________
Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
∠A and ∠B\angle B∠B are supplementary angles. If m∠A=(8x−27)∘\angle A=(8x-27)^{\circ}∠A=(8x−27)∘ and m∠B=(4x+3)∘\angle B=(4x+3)^{\circ}∠B=(4x+3)∘, then find the measure of ∠A\angle A∠A.
Answer:< B = 15°
Step-by-step explanation:
If m\angle A=(x+16)^{\circ}∠A=(x+16) and m\angle B=(3x-14)^{\circ}∠B=(3x−14), then find the measure of \angle A∠A.
HELP ME NOW PLEASE! WILL GIVE BRAINLY!!!!!!!!!!!!!!!! PLUS 30 POINTS
Faith is driving to a concert and needs to pay for parking. There is an automatic fee of $7 just to enter the parking lot, and when she leaves the lot, she will have to pay an additional $2 for every hour she had her car in the lot. How much total money would Faith have to pay for parking if she left her car in the lot for 3 hours? How much would Faith have to pay if she left her car in the lot for tt hours?
Cost for 3 hours:
Cost for tt hours:
Answer: 13
Step-by-step explanation:
cost for 3 hours: 7+2(3)=13
cost for t hours: 7+2t
Answer:
13
Step-by-step explanation:
Determine which situation could be represented by the system of linear equations given below.
5x+3y=210
x+y=60
A. A candy story sells boxes of chocolates for $5 each and boxes of caramels for $3 each. In one afternoon, the store sold 210 boxes of candy and made a profit of $60.
B. An art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
C. A guitar requires 5 strings and a banjo requires 3 strings. An orchestra has a total of 210 strings. One guitar player and one banjo player have 60 strings.
D. An audience contains 210 people. Student tickets cost $3 each and adult tickets cost $5 each. At one performance, there are 60 more adults than students.
Answer:
B
Step-by-step explanation:
The correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Given equations are 5x+3y=210 and x+y=60.In the equation suppose the number of boxes of chocolates is x and the number of boxes of caramels is y.
The cost of each chocolate box is $5 and the cost of each caramel box is $3 so the total cost of the chocolate boxes is the sum of the total cost of both chocolate boxes.
5x+3y=210
The total number of chocolate boxes will be expressed as:-
x + y = 60
Therefore the correct situation is option B, an art teacher bought paintbrushes in packs of 5 and packs of 3. She bought a total of 60 packs and now has 210 paintbrushes.
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Determine the quotient of 1 and 1 over 3 divided by 3 over 5 . (2 points)
a
1 and 1 over 10
b
1 and 5 over 9
c
2 and 2 over 9
d
2 and 4 over 5
Answer:2 2/9
Step-by-step explanation: 4/3 x 5/3= 20/9= 2 2/9
Help
Find the missing segment
Answer:
62
because 14 is twice more than 8
so 24 * 2 = 48
and 48 + 14 = 62
most likely 62
Find the circumference of a circle with a radius of 19 inches. Give an exact answer.
Provide your answer below:
Answer:
119.38
Step-by-step explanation:
Answer:119.3805208 inches
Step-by-step explanation:
How much would $700 invested at 3% interest compounded annually be worth after 10 years
Answer: $940.74
Step-by-step explanation: Use the Calculator provided on money chimp or you can look up the formula. I like using the calculator
Give me a highly detailed explanation of the answer to the equation of 1+1.
Let's solve this question as simply as we can
Step 1:
Add your odd numbers which is one with one
There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.
ex. 1 divided by 2 = 0.5
Step 2:
Now after adding our odd number you should turn up with an even number which we know as two.
Even numbers can be divided by 2
ex. 2 divided by 2 = 1
Answer is = 2
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3
4
of a minute. At what rate does Toby load passengers?
Answer:
13 1/3
Step-by-step explanation:
10 divided by 3/4 =10 times 4/3 =40 /3 = 13 1/3
sorry don´t really know how to explain my work i just kinda do it .plus it was on my homework .
Answer:
13 1/3
Step-by-step explanation:
For all real numbers x,if x is an integers then x is a rational number?
A.If a reak number is an integer then_
B.for all integerd x,_
C.If x _then _
D.All integers x are _
Answer:
c
Step-by-step explanation:
Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded.
The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians.
What is the area of the shaded sector?
36Pi units squared
72Pi units squared
144Pi units squared
324Pi units squared
The area of the sector in circle R is: C. 144Pi units squared
How to Find the Area of a Sector of a Circle?Area of sector = (1/2) × r²θ.
Given the parameters:
θ = 8π/9Radius (r) = 18Plug in the values
Area of sector = (1/2) × (18²)(8π/9)
Area of sector = 144π units²
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in which pair of figures can figure A be taken to figure B by a rotation
Answer:
Pair 1
Step-by-step explanation:
if the shape A rotated 180 degrees it would reach shape B
If the shape A is rotated 180 degrees then it would reach shape B. so the correct option is Pair 1.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
For points on axes, WE can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
On origin there is No effect as we assumed rotation is being with respect to origin.
Therefore, if the shape A is rotated 180 degrees then it would reach shape B.
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Find the distance of a line given the following points. R(3, 1), W(-1, -2)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]
[tex]x_1, y_1[/tex] is (3, 1)
[tex]x_2, y_2[/tex] is (-1, -2)
[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]
which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]
then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]
your final answer is: [tex]\sqrt{13}[/tex] or about 3.61
HELP! write y+4 =-2/3(x-9) in standard form