Answer:
6.650, 6.68, 6.803, 6.82
Step-by-step explanation:
Shannon has a bag of jelly beans.
5 Green
2 Red
3 Blue
What is the theoretical probability of
her selecting a red jelly bean?
Answer:
1/5 (20%)
Step-by-step explanation:
1. Find sample size by adding all numbers together
5 + 2 + 3 = 10
2. Since the jelly bean we are finding the probability of is red, 2 will be the nominator of the fractions
3. Make fraction
2/10
4. Simplify
1/5
Hope this helped! Comment if you have any questions. :)
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Can someone please help me with this.
Answer:
Take the chicken across, and come back, then take the corn across, and come back with the chicken. Then take the fox across and come back. Then take the chicken across!
Step-by-step explanation:
Mark at brainliest if this helps please
Answer:
Well, first you can make the girl take the chicken across the river, leaving the fox with the bag of corn since there will be no harm. Then, she should leave the chicken on the far side and row back across the river. Then she should take the fox across the river. Once she reaches the other side he drops off the fox,however, takes the chicken with her and rows back. Next, she drops off the chicken on the starting side and takes the bag of corn across the river. She then leaves the fox and the bag of corn together and rows back to pick up the chicken, which completes the crossing. Hope it helped!
Step-by-step explanation:
a diamiter of a sphere is
Answer:
radius times 2
Step-by-step explanation:
Answer:
a straight line passing from side to side through the center of a body or figure, especially a circle or sphere.
Step-by-step explanation:
I don't really think this needs more of an explanation.
4. All of the following payroll taxes are expenses incurred by an employer except:
a. Social Security taxes.
c. federal unemployment taxes.
b. federal income taxes.
d. state unemployment taxes.
A bag holds 10 blue marbles, 2 white marbles, and 8 red marbles. Without looking into the bag, William selects a marble and then returns it to the bag. If he selects 2 marbles in this way, what is the probability that both will be blue?
A.10%
B.25%
C.50%
D.75%
Answer: C
Step-by-step explanation:
Because 8 + 2 = 10 and that is half and blue is the other half so it’s 50%
PLEASE HELP I don't know what to do!! (will give brainliest for best answer)
(image below)
e) The diagonal of square A, marked off by the red stars, is where the concession stand is located. A local high school band is performing at the outdoor theater on a summer evening. The band has a school banner that is 40-feet long, and band members would like to hang it across the concession stand to let people know they are performing. Estimate the length of the concession stand to determine if the school banner can fit across the length of the concession stand. Show your work and explain your reasoning. (2 points)
SQUARE C = 1 side is 50 ft
SQUARE B = 1 side is 40 ft
SQUARE A = 1 side is 30 ft
Answer:
The consession stand is about 40 feet long.
Step-by-step explanation:
If you look at a side of square B and imagine moving the two stars on the side of it, it should fit "in your head". As for a more mathmatical answer- the two stars are diagonal from eachother on a square with 30 feet sides. The diagonal part of a square is always longer than the sides, and it is obviously not 50 ft (comparing it to the square C) so it must be 40 feet.
Answer:
The school banner can fit across the length of the concession stand
Step-by-step explanation:
The following information is missing:
The length if the sides: c is 50 feet long, b is 40 foot long, and a is 30-foot long.
The distance between the two red stars of the picture makes the hypotenuse of a right triangle, where two sides of length a (30 ft) are the legs. From Pythagorean theorem, diagonal of quare A is:
diagonal² = 30² + 30²
diagonal = √1800 = 42.43 ft
which is longer than the banner.
Step-by-step explanation:
did the test on e d g e n u i t y
What is the value of |–2|?
A- 1
B- –2
C- 0
D- 2
Answer:
D) 2
Step-by-step explanation:
Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.
Five more than twice a number is less than 20. If the number is a whole number, what could the number be?
A. 1,2,3,4,6,7,8
B. 2,3,4,5,6,7,8
C. 1,2,3,4,5,6,7
D. 4,5,6,7,8,9,10
Answer:
Hello,
Answer : C.
Step-by-step explanation:
The whole number is X.
5 + 2 X < 20
2 X < 15
X < 7.5
X = 1 or X = 2 or X = 3 or X = 4 or X = 5 or X = 6 or X = 7
What is the quotient of 1+i/
3+4i
Answer: 7/25-1/25i
Step-by-step explanation:
Answer:7/25-1/25i
Step-by-step explanation:
The answer is 7/25-1/25i
Find the volume of the cone
Answer:
12π
Step-by-step explanation:
Volume of the cone is πr^2 * h / 3
r = 3
h = 4
9π * 4 / 3 = 12π
Answer: 37.6991118
Step-by-step explanation:
(6x3)2 = 62(x3)2 = 36x6
True or false
Answer:
false
Step-by-step explanation:
The floor of a rectangular shelf has a length 5 feet greater than its width. James will increase both dimensions of the shelf by 3 feet. As an expression, how much more is the new area compared to the original area of the floor of the shelf?
Answer:
area of shelf=x*x+5=x²+5x
new area=x+3*x+8=x²+11x+24
the new area is 6x+24 more than original
Step-by-step explanation:
hope this helps
What is the length of the hypotenuse
Answer:
20
Step-by-step explanation:
To find Hypotenuse: Pythagorean Theroem
a^2+ b^2= c^2
The legs are A and B
The side that is directly across from the Right angle is C
12^2 + 16^2 =C^2
144+256=400
400 = c^2
Square root on both sides to get rid of c^2
The square root of 400 is 20
c=20
Answer:
20 feet
Step-by-step explanation:
c = (a² + b²)
c= (12^2 + 16^2)
c= square root (400)
c= 20
Evaluate the expression when x=2.3, y= -1.6, and z= -4.
x-y+z
Answer:
-.01
Step-by-step explanation:
X - Y + Z
2.3 - (-1.6) + (-4)
2.3 + 1.6 - 4
-0.1
I hope this is helpful!!!!!!! :)
Answer:
-0.1
Hope this helped :)
If a data value in a normal distribution has a negative z-score, which of the following must be true?
WHERE ARE THE FOLLOWING?
Answer:
C. The data value must be less than the mean
Step-by-step explanation:
Took the quiz on edge:)
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 (5 points)
Look at the frequency table. Using the Addition Rule P(A and B) = P(A) + P(B) – P(A and B), what is the probability someone being a man said dog? P(dog|man)
Answer:
28/50
Step-by-step explanation:
You look at the total amount of men there are, (50)
then amount of dog in the column of men, (28)
So (dog|man) = 28/50
ask questions if u need anything else
11. Your company earns extra money by advertising other local businesses in their monthly newsletter . You charge $145 for a half -page ad , and $ 260 for a full - page ad in the newsletter . the company earned a total of 1650 from ad sales last month , how many full page , and how many half page ads did you sell ?
Answer:
six half page ads and three full page ads
Step-by-step explanation:
6*145= 870
3*260= 780
870+780= 1650
Raffle tickets are being sold for a fundraiser. The function a(n) relates the
amount of money raised to the number of tickets sold, n.
It takes as input the number of tickets sold and returns as output the amount
of money raised.
a(n) = 3n - 25
Which equation represents the inverse function n(a), which takes the money
raised as input and returns the number of tickets sold as output?
Answer:
If the function is
A(n) = 4n -25
and we wish to get the inverse function N(a)
We let
A(n) = a
n = N(a)
Plugging in the values
a = 4 N(a) - 25
Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4
The answer is
N(a) = (a + 25) /4
Step-by-step explanation:
The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.
What is an inverse function?An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever
y = f(x) then x = g(y).
We have:
a(n) = 3n - 15
Rewrite the above equation as
a = 3n - 15
Add 15 to both sides of the equation
3n = 15 + a
Divide through by 3, we get
n = 5 + a/3
Express as function then, we get
n(a) = 5 + a/3
Hence, the inverse function is n(a) = 5 + a/3.
To learn more about inverse function
brainly.com/question/14391067
#SPJ1
greg made $204 for 17 hours of work
at the same rate how many hours would he have to work to make $156
Answer:
13 hours
Step-by-step explanation:
Set up a proportion. 204:17 and 156:x
204 156
Mark at brainliest please!
17 x
Cross multiply. 204x=156*17, 204x=2652, x=13
Answer:
13 hours
Step-by-step explanation:
First divide 204 and 17
then divide the number you got by 156
Help asap!!!
Find the volume of the cylinder. r measures 6 centimeters, height measures 3 centimeters
339.12 cm^3 or 108π
Step-by-step explanation:
The formula for the volume of a cylinder is...
[tex]V=\pi r^2h[/tex]
Since you didn't specify whether you want an exact answer (leaving pi) or an approximate answer (pi is 3.14), I will be doing both. First I will be doing the approximate answer.
I will plug everything into the formula that is needed, then solve.
[tex]V=3.14*6*6*3[/tex]
[tex]V=[/tex]
339.12 cm^3
Now I will be doing the exact answer, which is pretty much the same but leaving pi as it is without turning it into 3.14.
[tex]V=\pi *6*6*3[/tex]
[tex]V=[/tex]
108π
10:09 + 08:45 + 0946 + 09:55 =
Answer:
27 : 1000 : 55
Step 1:
Add the expresisons.
Jael and Kelsey work at a bakery. Jael makes 8 cupcakes for every 5 cupcakes that Kelsey
makes. If Kelsey makes 175 cupcakes in one day, what is the total combined number of cupcakes that Kelsey and Jael make in one day?
Answer:
35
Step-by-step explanation:
175/5
Answer:
455 cupcakes
Step-by-step explanation:
If Jeal makes 8 cupcakes for every 5 cupcakes that Kelsey makes and Kelsey made 175 cupcakes then you divide 175 by 5 and you get 35. Then mulitply 35 by 8 and you will get 280. Lastly you add 175 and 280 and you will get 455.What do you add to 2 2/9 to make 4
Answer:
I believe 1 7/9 will give you 4
if csc theta = -2.06, find sec(theta-pi/2)
Find the exact value
sin pi/ 18cos pi/9 + cos pi/18sin pi/ 9
Please help me soon, i dont need an explanation but it would be very helpful or if you know a website that can help me i will be very appreciative!
Answer:
a) sec (θ -π/2) = co secθ
b) [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )=\frac{1}{2}[/tex]
Step-by-step explanation:
a)
Given co sec θ = -2.06
sec (θ -π/2) = sec(π/2 -θ) = co secθ
b)
we will use formula
sin A cos B + Cos A sin B = sin(A+B)
Given [tex]sin(\frac{\pi }{18} ) cos (\frac{\pi }{9})+ cos(\frac{\pi }{18} ) sin (\frac{\pi }{9} )[/tex]
= [tex]Sin(\frac{\pi }{18} +\frac{\pi }{9} )[/tex]
= [tex]sin(\frac{\pi+2\pi }{18} ) = sin(\frac{3\pi }{18})[/tex]
= [tex]sin(\frac{\pi }{6})[/tex]
= [tex]\frac{1}{2}[/tex]
answer the following 2 question
Answer:
Step-by-step explanation:
ii) Perimeter = 8 + 7 + 17 + 16 + (17-8) + (16-7)
=8+ 7 + 17 +16 + 9 + 9
= 66 m
Area = area of upper rectangle + area of lower rectangle
= 8*7 + 16*9
= 56 + 144
= 200 m²
Add and simplify.
X+2x/x+1
Answer:
x+3
Step-by-step explanation:
x+2x1+1
x+2+1
x+3
Answer:
x+3
Step-by-step explanation:
x+ 2x /x+1
= x2+3x /x
=x+3
4) If z/3 = 6, what is z equal to?
Answer:
z/3 = 6
multiply both sides by 3
z/3 * 3 = 6*3
z = 18
The dimensions of a figure are doubled, how many times larger will the volume be? Only enter numerical answers
Answer:if you double all of the dimensions of a rectangular prism, you create a similar prism with a scale factor of 2. The surface area of the similar prism will increase as the square of the scale factor (22 = 4) and the volume will increase as the cube of the scale factor (23 = 8).
Step-by-step explanation:
Scale factor are used to increase or diminish the original figrure. The new volume will be 8times larger than the initial volum
Scale factorsScale factor are used to increase or diminish the original figrure.
Assume the original dimension of the figure is a, b and c, the volume of te figure will be expresed as:
A = length * width * heiht
A = abc
If the measure of the sides are doubled, hence;
New volume = 2a * 2b * 2c
New volume = 8abc
Ratio = 8abc/abc
Ratio = 8
Hence the new volume will be 8times larger than the initial volume
Learn more on volume of a figure here: https://brainly.com/question/511679
The sum of two numbers is 13, the difference is 4. What are the numbers?.
Answer:
a = 8.5
b = 4.5
Step-by-step explanation:
let 2 number be a ,b
a + b = 13 (1)
a - b = 4 (2)
(1) + (2) = 2a = 13+4 = 17 -> a = 8.5
-> b = 8.5 -4 = 4.5
