Answer:
2160 square units
Step-by-step explanation:
Given data
Radius= 6 units
Angle= 120°
Area of the sector is given as
Area of sector= r^2* ∅/2
Area of sector= 6^2*120/2
Area of sector= 36*60
Area of sector= 2160 square units
Two friends are to meet at the library. Each independently and randomly selects an arrival time within the same one-hour period. Each agrees to wait a maximum of fifteen minutes for the other to arrive. What is the probability that they will meet
Answer:
The probability that they will meet is 0.4375
Step-by-step explanation:
Let A and B be two friends who choose to meet the same one-hour period.Since there are 60 minutes in an hour therefore n= 60
A can wait for 15 minutes
So the probability of A to meet is given by P(A)= (15/60)= 1/4
Similarly
B can wait for 15 minutes
So the probability of B to meet is given by P(B)= (15/60)= 1/4
The probability that A cannot meet is given by 1- P(A)= 1-1/4= 3/4
Similarly
The probability that B cannot meet is given by 1- P(B)= 1-1/4= 3/4
And
The probability that both A and B cannot meet is given by = 3/4*3/4= 9/16
So the probability that both will meet = 1- 9/16= 7/16= 0.4375
x^2+ 6x + 8
Vertex:
Axis of symmetry:
Y-intercept:
X-intercept:
Answer:
( + 2 ) ( + 4 )
Step-by-step explanation:
Answer:
See below for answers and explanations (along with a graph)
Step-by-step explanation:
To calculate the vertex, we can transform the expression into an equation in the form of y=a(x-h)²+k and take (h,k) as our vertex. By completing the square, we see that y=x²+6x+8 is the same as y=(x+3)²-1, implying that our vertex is (-3,-1)
To calculate the axis of symmetry, it is defined as the vertical line that passes the x-axis, defined as x=h, therefore the axis of symmetry is x=-3
To calculate the y-intercept, it is defined as the y-value when x=0, therefore the y-intercept would be y=(0)^2+6(0)+8=8, so y=8 or (0,8)
To calculate the x-intercepts, which are the x-values when y=0, we can factor the expression and set it equal to 0 so we can use the Zero Product Property. Therefore, if x²+6x+8=0, then (x+2)(x+4)=0, implying that x+2=0 and x+4=0 are solutions. This means that our x-intercepts are x=-2 and x=-4 or (-2,0) and (-4,0).
Note that there are different ways to achieve these answers. See the graph for a visual reference (you may need to click on it to zoom in).
Find the 12th term of the sequence: 48, 44, 40, 36...
A.4 B.8 C.12 D.16
Answer:
the answer that I found is A. 4
Answer:
So the answer is 4
48,44,40,36,32,28,24,20,16,12,8,4
You can just do 4×12=48
Step-by-step explanation:
4 is being subtracted
What is the value of x, the side length of the smallest square (please show work) Thanks!
Answer:
8 cm
Step-by-step explanation:
Ok lets on the biggest square we have 17 cm
17cm is the hypotenuse for the right triangle
The second largest's area is 225 cm^2
Sq root of 225 cm^2, is 15
To find x, lets plug the info we have to the pythagorean theorom
[tex]a^2 + b^2 = c^2\\a^2 + 15^2 = 17^2\\a^2 + 225 = 289\\\\289 - 225 = a^2\\64=a^2\\a = 8 cm[/tex]
The side length of the smallest Square is 8 cm
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
What is the degree measure of FEG?
A 20°
B 31°
C 56°
D
124°
Answer:
C) 56
Step-by-step explanation:
DEG and FEG are on a straight line forming 180 degree.
Set your formula up as
180 = (3x+31)+(2x-6)
180 = 3x +2x +31 - 6
180 - 31 + 6 = 5x
155 = 5x
155/5 = x
31 = x
Now substitute 31 in place of x
FEG = (2*31-6)
FEG = 56
Can someone help me please?
Slope : -2
y - intercept : 3
Equation : y = -2x+3
Answer:
Step-by-step explanation:
Slope: -0.5
Y-Intercept: 3
y = -0.5x+3
A sphere has a radius of 15ft find the volume of the sphere
Answer:
14130= I rounded
Step-by-step explanation:
This is the formula
4/3 x pi x r cubed
radius :15
pi = 3.14
substitue the Values
4/3 times 3.14 times 15 times 15 times 15.
3375 = 15 times 15 times 15
3375 x 3.14 = 10597.5 x 4/3
14130
Answer:
14,137.1669 ft^3
Step-by-step explanation:
1. Cube the radius: 15^3 = 3375
2. Multiply the cubed radius by 4/3: 3375*4/3 = 4500
3. Multiply the equation by 3.14159 (pi): 4/3(3.14159)(3375) = 14,137.1669 ft^3
4. Round your answer as needed.
From the equation below, where is the center of the circle located and what is the radius?
(x – 4)2 + (y + 8)2 = 16
A) Center: (4, -8) Radius = 4
B) Center: (-4, 8) Radius = 4
C) Center: (4, -8) Radius = 16
D) Center: (-4, 8) Radius = 16
Answer:
B Center: (-4, 8) Radius = 4
Step-by-step explanation:
This graph shows the altitude of an airplane over time. Which story matches the graph?
A.)The aircraft rose quickly into the air at takeoff, and then it continued at a constant altitude.
B.)The aircraft rose steadily over the entire flight.
C.)The aircraft rose quickly to its maximum height, and then it immediately began going back down toward the grou
D.)The aircraft rose quickly into the air at takeoff, and then it rose slowly for the rest of the flight.
SHOW HINT
Answer:
A.) The aircraft rose quickly into the air at takeoff, and then continued at a constant altitude.:)
Answer:
Omg, thank u so much I am on this question rn on Edulatic and I have 100 Q's and I'm only on Q 45, This Question rly helped me a lot bc it came with the answer. God Bless you!!
The first question
(Worth 10 points) please help
9514 1404 393
Answer:
C. 7
Step-by-step explanation:
To find the value of 2Ω3 using the definition of AΩB, we are replacing A with 2, and B with 3. This seems to give us ...
2Ω3 = 2² +3² -2·3 = 4 + 9 - 6 = 7
The value of 2Ω3 is 7.
The ratio of blue cars to red cars in a garage is 7:6. If there are
28 blue cars in the garage then how many red cars must be in the garage?
Answer:
24 Red Cars
Step-by-step explanation:
Step 1 : Create a ratio
7:6 = 28:x
Step 2 : Find the relation between the two.
28/7 = 4
Step 3 : Multiply 6 by 4 to find x
6 * 4 = 24
Edit : Reread question
Answer:
24
Step-by-step explanation:
7/6=28/x
7x=28*6
7x=168 ...both divide by 7
x=24
red cars in garage 24
Solve for n.
n + 184 = –375
Answer:
n=-559
Step-by-step explanation:
Hope this helps and have a great day. :)
Answer:
n= -559
Step-by-step explanation:
So in order to solve this, you need to subtract 184 on both sides.
n+184=-374
-184=-184
-----------------------
n= -559
So the answer is n= -559
Hope this helped!!! :)
When you plug in 8 for m, what problem will you have to solve?
3+m
3+m=8
3+8
7s-(2t+3s)-(5s-8t)please also explain how u got the ans
Answer:
-s+6t
Step-by-step explanation:
7s-(2t+3s)-(5s-8t)
7s-2t-3s-5s+8t
7s-3s-5s-2t+8t
4s-5s+6t
-s+6t
Fay read an article that said 26% of Americans can speak more than one language. She was curious if this
figure was higher in her city, so she tested H, : p=0.26 vs. H : p > 0.26, where p represents the
proportion of people in her city that can speak more than one language.
She found that 40 of 120 people sampled could speak more than one language. The test statistic for these
results was 2 1.83.
Assuming that the necessary conditions are met, what is the approximate P-value for Fay's test?
You may round to three decimal places.
P-value
Answer:
0.0336
Step-by-step explanation:
the hint says so
According to the result of the test statistic, the approximate p-value for Fay's test is of 0.034.
How to find the p-value of a test?
It depends on the test statistic z, as follows.
For a left-tailed test, it is the area under the normal curve to the left of z, which is the p-value of z.For a right-tailed test, it is the area under the normal curve to the right of z, which is 1 subtracted by the p-value of z.For a two-tailed test, it is the area under the normal curve to the left of -z combined with the area to the right of z, hence it is 2 multiplied by 1 subtracted by the p-value of z.In this problem, we are testing if the proportion is greater than a value, hence it is a right-tailed test.
The test statistic is z = 1.83, which has a p-value of 0.966.
1 - 0.966 = 0.034.
Hence, the approximate p-value for Fay's test is of 0.034.
You can learn more about p-values at brainly.com/question/13873630
My faces are not all
congruent.
I contain 12 edges.
I contain 6 faces.
Answer:
its a rectangle
Step-by-step explanation:
Question 1 of 10
What is the probability that a data value in a normal
distribution is between a zscore of -1.52 and a z-score of -
0.34? Round your answer to the nearest tenth of a percent.
A. 28.3%
B. 30.3%
C. 29.3%
D. 27.3%
SUBMIT
Answer:30.3
Step-by-step explanation:
30.3% is the probability that a data value in a normal distribution is between a z-score of -1.52 and a z-score of -0.34.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
We can use a standard normal distribution table or calculator to find the probability that a data value falls between two given z-scores.
The probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is equal to the area under the standard normal distribution curve between these two z-scores. We can find this area by subtracting the area to the left of -0.34 from the area to the left of -1.52:
P(-1.52 < z < -0.34) = P(z < -0.34) - P(z < -1.52)
Using a standard normal distribution table or calculator, we can find that P(z < -0.34) is approximately 0.3665 and P(z < -1.52) is approximately 0.0643. Therefore, the probability of a data value being between a z-score of -1.52 and a z-score of -0.34 is:
P(-1.52 < z < -0.34) = 0.3665 - 0.0643 = 0.3022
Rounding this answer to the nearest tenth of a percent, we get:
P(-1.52 < z < -0.34) ≈ 30.2%
Therefore, the closest answer choice is B, 30.3%.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
Please help! im extremely confused
the results of rolling a single die are shown in a table below. find the experimental probability of rolling a 5
number total
1 12
2 16
3 21
4 23
5 18
6 10
Answer:
1/12
Step-by-step explanation:
To find experimental probability you have to solve the Number of times an event occurs / Total number of trials. So since the 5 only appears once and there are 12 numbers, it would be 1/12. Did this help?
The experimental probability of rolling 5 will be 0.18.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
The table is given below:
Number Total
1 12
2 16
3 21
4 23
5 18
6 10
The experimental probability of rolling a 5 is calculated as,
P = 18 / (12 + 16 + 21 + 23 + 18 + 10)
P = 18 / 100
P = 0.18
Thus, the probability is 0.18.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Hello Good morning can someone give me the answer of this operation?
39 + 1 - 24 / 6=
Also can you tell me the order? :> Thanks!!
Answer:
36
Step-by-step explanation:
39+1-24/6 =
we gotta follow pemdas so we divide 24 by 6 first
39+1-4=
then its just adding and subtracting so just go left to right
40-4=
36
Which number line best models the expression 3 divided by 1/3?
Answer:
3 (divided by sign) 1/3
Step-by-step explanation:
Plz help this is due today NO LINKS OR GROSS PICTURES OR I Will REPORT And please show work
Answer: Trapezoid
Step-by-step explanation:
Trapezoids are parollelograms, that’s all
what’s the value of x ?
Answer:
x=70
Step-by-step explanation:
Because these angles are on the opposite sides of each other, they have to add up to 180. This will make the equation 2x-5+45=180. Simplify this to get 2x+40=180. Subtract 40 from both sides to get 2x=140. Divide each side by 2 to isolate x. x=140/2. Simplify this to get x=70.
If this helps please mark as brainliest
4/10 + 40/100 = ? Help please
Answer:
4/10 is the same as 40/100
there fore 4/10+40/100=40/100+40/100=
80/100
hope it helps :)
Answer:
80/100
4/5 as reduced fraction
Step-by-step explanation:
4/10 + 40/100
use common denominator of 100
40/100 + 40/100 = 80/100
As a reduced fraction
4/5
Does anyone get it ? If so pleaseee help out
0.33333 reapeating is the answer.
\/\/\/\/\/\//\/\\/\/\/
CAN YOU HELP ME???!!!!!??!!?
HELP ME PLEASE... WILL GIVE BRAINLIEST. WORTH A LOT OF POINTS
Professor M presented the pair of equations shown below:
y = 6x − 10
y = 2x − 2
Part A: Explain to Professor M how you will solve the pair of equations by using either substitution or elimination. Show all the steps you use and write the solution in (x, y) form.
Part B: If she asked you to graph the two equations, at what point will the lines representing the two equations intersect? Explain how you know this.
I need some help please
9514 1404 393
Answer:
(d) {-7, -2, 11, 20}
Step-by-step explanation:
You can put the domain values into the function and evaluate to find the corresponding range values. Here, we'll do them "all at once."
y = 3{-4, -1, 2, 5} +5
= {-12, -3, 6, 15} +5
= {-7, 2, 11, 20} . . . . . matches choice d
_____
To save yourself some arithmetic, you can observe that the answer choices differ in the 2nd and 4th values, so you only need to evaluate the function for x=-1 or x=5 to determine the correct answer choice.
Find the area of the triangle
Answer:
About 292.72
Step-by-step explanation:
We can imagine a circle circumscribed around the triangle, then solve it as we normally do using the apothem. By dividing 360 by the number of sides (3) we know that the central angle constructed by the apothem and radiuses would be 120. Divided by 2 (because we are using a right triangle to solve it) is 60. Now with this you can either use trig ratios (sin, cos, or tan) or use special right triangles (30-60-90 or 45-45-90). I used special rights. With this I know my apothem is [tex]\frac{13\sqrt{3} }{3}[/tex]. Perimeter is 26 times 3 which is 78. The formula for area of regular polygons is 1/2(perimeter times apothem). When we plug our values in the answer is about 292.72. You are lucky that I just had my test on this, I hope it helps.
Here is my work since this is very visual for me:
which expression defines function h?
Answer:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3x^3 + 9x^2 -12x[/tex]
[tex]g(x) = x - 1[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
Required
What defines h(x)
Looking at the degree of f(x), g(x) and h(x), we have:
[tex]h(x) = (\frac{f}{g})(x)[/tex]
See proof
[tex]h(x) = (\frac{f}{g})(x)[/tex]
This gives:
[tex]h(x) = \frac{f(x)}{g(x)}[/tex]
[tex]h(x) = \frac{3x^3 + 9x^2 -12x}{x - 1}[/tex]
Factorize
[tex]h(x) = \frac{(3x^2 + 12x)(x - 1)}{x - 1}\\[/tex]
[tex]h(x) = 3x^2 + 12x[/tex]
finding the slope to points
15) Find the product. Show all your work.
Reduce all your answers into simplest
form
3 - x
5
л |N
Answer:
[tex]\frac{3}{2}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{30}{20}[/tex] = [tex]\frac{3}{2}[/tex]
or another way
[tex]\frac{15}{4}[/tex] x [tex]\frac{2}{5}[/tex]
[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{3}{2}[/tex]
Is a triangle with side lengths of 33 inches, 56 inches, and65 inches a right triangle? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
Pythagorean's Theorum is that a^2 + b^2 = c^2
a and b are the sides of the triangle and c is the hypotenuse. 33x33+56x56=4225 sqrt4225 is 65. Everything checks out.