A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red 12
Yellow 18
Blue 5
Answer:
red: 12/35
yellow: 18/35
blue: 1/7
Step-by-step explanation:
The experimental probability is the total number of each outcome over the total outcomes. The total outcomes would be the sum, 12 + 18 + 5, or 35.
If we are looking for the experimental probability of red, we divide the spins on red by the total:
red - [tex]\frac{12}{35}[/tex]
If we are looking for the experimental probability of yellow, we divide the spins on yellow by the total:
yellow - [tex]\frac{18}{35}[/tex]
If we are looking for the experimental probability of blue, we divide the spins on blue by the total:
blue - [tex]\frac{5}{35}[/tex] = [tex]\frac{1}{7}[/tex]
An equilateral triangle has on vertex at the origin, another on the x-axis, and the third in the quadrant. find the slope of each side
Answer:
0, - 1.732 , 1.732
Step-by-step explanation:
The slope of the line is the angle of the tangent from the positive X axis in counter clock wise direction.
The slope of line AB is
tan 180 = 0
The slope of line BC is
tan 300 = - 1.732
The sloe of line AC is
tan 240 = 1.732
Hurry which one
A.70
B.84
C.112
D.138
Answer:
A = 84 ft^2
Step-by-step explanation:
A = bh where b is the base and h is the height
A = 12*7
A = 84 ft^2
From her home, Adriana would have to walk due north to get to her friend Gavin's house and due east to get to her friend Zach's house. It is 3 miles from Adriana's house to Zach's house and a straight-line distance of 5 miles from Gavin's house to Zach's house. How far is Adriana's house from Gavin's house?'
Answer:
4 miles.
Step by step explanation
2
3
us
DO
ON
7
45
US
S
Answer:
9.8 sq. in.
Step-by-step explanation:
A = πr²
Diameter: 10 inches
Radius: 5 inches
A = π · 5²
A = π · 25
A = 78.54
Section 4 is about one eighth of the circle.
78.54 ÷ 8
9.8175
9.8175 ≈ 9.8
A 12 ft. ladder is leaning against a house. The ladder makes a 60° angle with the ground. Use special right triangles to find how far up the building the ladder will reach.
Given:
The length of the ladder = 12 ft
The angle of ladder with ground = 60 degrees
To find:
How far up the building the ladder will reach.
Solution:
Using the given information draw a figure as shown below.
We need to find the vertical distance between the top of ladder and the ground.
Let x be the required distance.
In a right angle triangle,
[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]
In the below triangle ABC,
[tex]\sin A=\dfrac{BC}{AC}[/tex]
[tex]\sin 60^\circ=\dfrac{x}{12}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}[/tex]
Multiply both sides by 12.
[tex]\dfrac{\sqrt{3}}{2}\times 12=x[/tex]
[tex]6\sqrt{3}=x[/tex]
Therefore, the ladder will reach [tex]6\sqrt{3}[/tex] ft far up the building.
algebra 2 question. need help
Answer:
Step-by-step explanation:
Log25 1000
Answer:
log5 (1000)
Step-by-step explanation:
logb (x) + logb (y) = logb (xy)
log5 (4) + log5 (250) = log5 (4 * 250) = log5 (1000)
How do you solve the equation 3 1/5 +n=9?
Answer:
n = [tex]5\frac{4}{5}[/tex]
Step-by-step explanation:
You obviously have to solve for n
The rate of change in sales for Garmin from 2008 through 2013 can be modeled by
dS/dT = -0.0972t^2 + 2.136t -11.9
where S is the sales (in billions of dollars) and is the time in years, with t = 8 corresponding to 2008. In 2009, the sales for Garmin were $2.9 billion.
A. Find the model for the sales of Garmin.
B. What were the average sales of Garmin from 2008 through 2013?
Answer:
a) The model for the sales of Garmin is represented by [tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112[/tex].
b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
Step-by-step explanation:
a) The model for the sales of Garmin is obtained by integration:
[tex]S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt[/tex]
[tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C[/tex] (1)
Where [tex]C[/tex] is the integration constant.
If we know that [tex]t = 9[/tex] and [tex]S(t) = 2.9[/tex], then the model for the sales of Garmin is:
[tex]-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9[/tex]
[tex]C = 47.112[/tex]
The model for the sales of Garmin is represented by [tex]S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112[/tex].
b) The average sales of the Garmin from 2008 through 2013 ([tex]\bar{S}[/tex]) is determined by the integral form of the definition of average, this is:
[tex]\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt[/tex] (2)
[tex]\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt[/tex]
[tex]\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right][/tex][tex]\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)[/tex]
[tex]\bar{S} = 2.5[/tex]
The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.
plssss answer no links !!
please do both of them THANK YOU
Answer:
4(3+x)
4x+12
Step-by-step explanation:
Hi there! I am Mizuki, and I'm just answering lol
Anyways, the answer for the first problem is 12 + 4x = 44
The answer for the second problem is 8
Work:
12 + 4x = 44
4x = 32
x = 8
can someone answer this!?
Answer:
x = 58
Step-by-step explanation:
Hope this helps
enjoy
Answer:
the answer is d because that is how much degrees it is
Step-by-step explanation:
a rectangle park has a perimeter of 80m one side measures 16m what are the lengths of the other three sides
Answer:
16m 24m and 24m
Step-by-step explanation:
Given the fact that it's a rectangle, and 1 side is 16m, we know that 1 of the other sides will be 16m. After that and some simple subtraction, we get the other 2 sides are 24m.
I REALLY NEED HELP PLS I NEED THIS DONE TODAY!!! JUST LOOK AT THE PICTURE!!!
Answer:
147 sq meters
Step-by-step explanation:
To find the area of a trapezoid, use the formula ( (a+b)/2 ) x h, where a is base value 1 and b is base value 2. Plugging it all in : ( (4+17)/2 ) = 10.5 x 14 = 147 sq meters.
Answer: the answer is 147 square meters.
Step-by-step explanation:
formula: (a+b)/2 * h
bases are a and b: 4 and 17 meters.
h =14 meters
Plug numbers in (4+7)/2*14
solve and you get 147 square meters as answer
A sphere has a radius of 3 centimeters. What is the volume of the sphere?
367 cm
727 cm
1447 cm
2887 cm
оо
Answer:
Volume = 113.1 cubic cm
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi 3^3 = 4 \pi \times 9 = 36 \pi=113.1 cm^3[/tex]
I need help finding the slope. I will report you if you use a link
3/4 up 3 over 4, its a positive slope
I’m sorry to whoever has to do edg next year
For the equation 3(7 + x) = 3x + k, which value of k will create an equation with Infinity many solutions a) 7 b) 21 c) 10 d) 3
Answer:
21
Step-by-step explanation:
We have to create an identity
3x + 21 = 3x + k
if we substitute k with 21 we have
3x + 21 = 3x + 21
that is an identity so it’s true for every value of x
Quadrilateral is shown in the coordinate plane below.
Draw an image of quadrilateral on the coordinate plane reflected over the y-axis.
Answer:
A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
If a point A(x, y) is reflected over the y axis, the new point is at A'(-x, y).
From the document attached, the vertices of the quadrilateral is at A(-6, 2), B(-6, 5), C(-3, 6) and D(-2, 1). Hence if quadrilateral ABCD is reflected over the y axis, the new point is at A'(6, 2), B'(6, 5), C'(3, 6) and D'(2, 1).
Find the volume of the hexagonal prism .
please help . Work due in 20 minutes and I can’t get this one
Answer:
[tex](\frac{3\sqrt{3} }{2}(14)^2)*16[/tex]
[tex]=509.22+16[/tex]
[tex]8147.52m^3[/tex]
[tex]ANSWER:8147.50~m^3[/tex]
---------------------------
hope it helps..
have a great day!!
1. Given f(x) = x2 – X and g(x) = 3x + 2, find f(g(2))
Answer:
56
Step-by-step explanation:
g(2) = 3(2) + 2
= 6 + 2
= 8
f(8) = 8^2 - 8
= 64 - 8
= 56
Which ratio is equivalent to the ratio 33:39?
Answer:
[tex]33 : 39 \equiv11 : 13[/tex]
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Help me PLEASEEEEEEEEEEEEE
Answer:
C) 6t=c because you are trying to find c not the number of tables and no addition is needed.
solve each problem part 2a. NO LINKS!!!!
Answers:
Problem 14) There are 1093 different ice creams possible.Problem 15) There are 120 ways to pick the reading list.Problem 16) We have 1365 combinations.Problem 17) There are 315 different combos of cars possible.Problem 18) You can go on 21,700 different combinations of rides.==================================================
Explanations:
Problem 14
There are n = 10 toppings to choose from.
If you order r = 0 toppings, then there is nCr = 13C0 = 1 way to do this.
Use the combination formula nCr = (n!)/(r!*(n-r)!)
If you order r = 1 topping, then there are 13C1 = 13 ways to do this.
If r = 2, then we have 13C2 = 78 different combos
If r = 3, then 13C3 = 286
If r = 4, then 13C4 = 715
Add up those subtotals: 1+13+78+286+715 = 1093
Note the use of nCr instead of nPr. The order of toppings doesn't matter.
-----------------
Problem 15
Again order doesn't matter. We have n = 10 books to pick from and r = 3 selections to make.
nCr = (n!)/(r!*(n-r)!)
10C3 = (10!)/(3!*(10-3)!)
10C3 = (10*9*8*7!)/(3!*7!)
10C3 = (10*9*8)/(3!)
10C3 = (10*9*8)/(3*2*1)
10C3 = (720)/(6)
10C3 = 120
There are 120 different ways to pick the three books (from a pool of ten).
-----------------
Problem 16
Follow the same steps as problem 15. This time you'll have n = 15 and r = 4. The answer you should get is 1365
Or you could follow these steps below:
We have 15*14*13*12 = 32,760 permutations and 4! = 24 different ways to arrange any group of 4, so we have (32,760)/(24) = 1365 combinations.
nCr = (nPr)/(r!)
-----------------
Problem 17
There are 7C1 = 7 ways to pick the color and 10C2 = 45 ways to pick the two options. Therefore, there are 7*45 = 315 different cars possible.
-----------------
Problem 18
"At least 15" means "15 or more".
If you ride on r = 15 rides, out of n = 20 total, then we have nCr = 20C15 = 15504 different combinations. If you ride on r = 16 rides, out of n = 20 total, then we have nCr = 20C16 = 4845 different combinations. If you ride on r = 17 rides, out of n = 20 total, then we have nCr = 20C17 = 1140 different combinations. If you ride on r = 18 rides, out of n = 20 total, then we have nCr = 20C18 = 190 different combinations. If you ride on r = 19 rides, out of n = 20 total, then we have nCr = 20C19 = 20 different combinations. If you ride on r = 20 rides, out of n = 20 total, then we have nCr = 20C20 = 1 combo onlyAdd up the subtotals to get
15504+4845+1140+190+20+1 = 21,700
What is the area of the rectangle?
2 feet
6 feet
square feet
Answer:
The area of the rectangle is 12
6x2=12
i need to answer for the parentheses
Answer:
(4x+2) +(3x+4)
Step-by-step explanation:
2(6x²+11+4)
(6x+3)+(3x+4)
12x²+16x+6x+8
12x²+22x+8
let me know if this helps guys my husband helped me with it he is good at math
X=
0 4
06
0 12
pls help !
Answer:
maube 12
Step-by-step explanation:
i am not sure ..but try ur luck
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time. The town consumed 4.44.44, point, 4 trillion British thermal units (BTUs) initially, and it consumed 5.55.55, point, 5 trillion BTUs annually after 555 years. What is the town's annual energy consumption, in trillionso f BTUs, after 9 years?
Answer:
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
Step-by-step explanation:
The annual energy consumption of the town where Camilla lives increases at a rate that is proportional at any time to the energy consumption at that time.
This means that the consumption after t years is given by the following differential equation:
[tex]\frac{dC}{dt} = kC[/tex]
In which k is the growth rate.
The solution is, applying separation of variables:
[tex]C(t) = C(0)e^{kt}[/tex]
In which C(0) is the initial consumption.
The town consumed 4.4 trillion British thermal units (BTUs) initially.
This means that [tex]C(0) = 4.4[/tex]
So
[tex]C(t) = C(0)e^{kt}[/tex]
[tex]C(t) = 4.4e^{kt}[/tex]
5.5 trillion BTUs annually after 5 years.
This means that [tex]C(5) = 5.5[/tex]. We use this to find k. So
[tex]C(t) = 4.4e^{kt}[/tex]
[tex]5.5 = 4.4e^{5k}[/tex]
[tex]e^{5k} = \frac{5.5}{4.4}[/tex]
[tex]e^{5k} = 1.25[/tex]
[tex]\ln{e^{5k}} = \ln{1.25}[/tex]
[tex]5k = \ln{1.25}[/tex]
[tex]k = \frac{\ln{1.25}}{5}[/tex]
[tex]k = 0.0446[/tex]
So
[tex]C(t) = 4.4e^{0.0446t}[/tex]
After 9 years?
This is C(9). So
[tex]C(9) = 4.4e^{0.0446*9} = 6.57[/tex]
The town's annual energy consumption will be of 6.57 trillons of BTU after 9 years.
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment. Find the margin of error for the 95% confidence interval used to estimate the population proportion.
Answer:
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In a clinical test with 2161 subjects, 1214 showed improvement from the treatment.
This means that [tex]n = 2161, \pi = \frac{1214}{2161} = 0.5618[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5618*0.4382}{2161}}[/tex]
[tex]M = 0.0209[/tex]
The margin of error for the 95% confidence interval used to estimate the population proportion is of 0.0209.