The probability that the dart lands inside the square but not on the circular dartboard is 0.215
What is the probability?The chances of the happening of any event are called the probability.
The dartboard is in the form of a square and the circle is inscribed in it
The area of the dartboard is [tex]a_d=54\ inch^2[/tex]
Since the circle is inscribed on the dashboard so the diameter of the circle will be the length of the square
[tex]a_d=s^2=64[/tex]
[tex]s=\sqrt{64}=8\ inch[/tex]
Thus the diameter of the circle
[tex]d=8\ \ \ r= \dfrac{8}{2} =4 \ inches[/tex]
Now we will calculate the area of the circle
[tex]a_c=\pi r^2[/tex]
[tex]a_c=\ 3.14\times 4^2=50.24\ inch^2[/tex]
The area of the square outside the circle will be the difference of the area of the square and the area of the circle
[tex]64-50.24=13.76\ inch^2[/tex]
Now to find out the probability of the dart hitting outside the circle will be calculated as.
[tex]\rm Probability = \dfrac{Area \ outside \ circle }{Area \ of \ square}[/tex]
[tex]P= \dfrac{13.76}{64} =0.215[/tex]
Thus the probability that the dart lands inside the square but not on the circular dartboard is 0.215
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Answer:
22%
Step-by-step explanation:
Luis purchased a laptop computer that was marked down by
[tex] \frac{2}{5} [/tex]
of the original price. What fractional part of the original price did Luis pay?
Answer:
Luis paid 3/5 of the original price
Step-by-step explanation:
Luis purchased a laptop with a fractional discount of 2/5 of the original price.
When dealing with fractional parts of a whole, the sum of all parts must equal 1. With this in mind, we can say:
Paid price + Discount price = Original price
Or, equivalently:
paid fraction + discount fraction = 1
From the above relation, it follows that:
paid fraction = 1 - discount fraction
[tex]\displaystyle \text{paid fraction }=1-\frac{2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{5-2}{5}[/tex]
[tex]\displaystyle \text{paid fraction }=\frac{3}{5}[/tex]
Luis paid 3/5 of the original price
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
PLZZZZZZ HELP I WILL. ARY YOU BRAINLIEST
Answer:
ITS THE FIRST ONE
Step-by-step explanation:
THE OUTPUTS ARE THE Y-VALUES
THE Y-VALUES ARE 4, -1, 3, -3
THEREFORE, THE ANSWER IS THE FIRST OPTION. {-3, -1, 3 4}
Given g(x) = 4x−8, find g(1/2).
Answer:
4(1/2) = 2
2-8 = -6
-6 is your answer
hope this helps!
For finding g(1/2) you need to substitute the value of x= 1/2
Thus , g(1/2):
[tex] = 4 \times \dfrac{1}{2} - 8[/tex]
[tex] = 2 - 8[/tex]
= [tex]\red{\bold{\large{-6}}}[/tex]
will give brainliest
Answer:
first quadrant
Step-by-step explanation:
Solve and graph the inequality
Problem and solutions are below
Answer: D
Step-by-step explanation: The > points to the right so the line goes that way and, in order to get rid of the fraction you multiply 5 * -4 = -20 so
Z > -20
Sara has 2 paintings in her portfolio and paints 3 more each week. Kevin
has 12 paintings in his portfolio and paints 2 more each week. After how
many weeks will Sara and Kevin have the same number of paintings? *
12 weeks
O 10 weeks
O 16 weeks
O 14 weeks
Answer:
If Sara has 2 painting already and paints 3 more each week, and Kevin has 12 paintings already and paints 2 more each week, we go down the list of answers and multiply them by the number of paintings painted each week. So first is 12x2=24 24+12=36 then 12x3=36 36+2=38 now we do 10x2=20 20+12=32 10x3=30 30+2=32 so your answer would be 10 weeks
Step-by-step explanation:
YOOO I NEED BIG HELP CAUSE IM DUMB AND QUICK PLEASEEEEEEEEE
Answer:
I and iii
Step-by-step explanation:
because I know yup yuppy yup
Answer:
i, ii and iii
Step-by-step explanation:
A square garden has an area of 242 square feet. What is the approximate length of each side of the garden?
60.5 feet
121 feet
15.6 feet
16.5 feet
If angle 2 = 48, determine the measure of angle 5.
Answer:
Angle 2 = 48
we are going to divide 48 by 2 to get the Angle 1
Angle 1 = 24
then Angle 5 = (5×24)
Angle 5 = 120
Please help me with this.
Answer:
v=8
Step-by-step explanation:
12=12+v−8/2
12=12+1/2
v+−4(Distribute)
12=(1/2v)+(12+−4)(Combine Like Terms)
12=1/2v+8
Step 2: Flip the equation.
1/2v+8=12
Step 3: Subtract 8 from both sides.
1/2v+8−8=12−8
Step 4: Multiply both sides by 2.
2*(1/2v)=(2)*(4)
v=8
(03.03 HC)
The table shows the outputs, y, for different inputs, x:
Input (x) 1 2 3 4
Output (y) 5 5 7 9
Part A: Do the data in this table represent a function? Justify your answer. (3 points)
In 2005, MusicMart sold 14,550 CDs. In 2010, they sold 12,000 CDs. What is the rate of change in the number of CDs sold?
A) -2550 per yr B) -510 per yr C) -425 D) -2400 per yr
Answer:
B) -510 per yr
Step-by-step explanation:
2005 = 14,550 CDs sold
2010 = 12,000 CDs sold
Difference in years = 2010 - 2005
= 5 years
Difference in CDs sold = 12,000 - 14,550
= - 4,550
Rate of change in the number of CDs sold = change in the number of CDs / change in years
= -4,550 / 5
= -510 per year
The correct answer is B) -510 per yr
A motorcycle traveled 250 kilometers in five hours. What was its average speed in km/hr?
Answer:
50mph
Step-by-step explanation:
250km = 5hrs
250km/5hrs = 50km
50km = 1hr
If (x^2 2 x 1) is singular and (x 2x 3x 4x) is non-singular, find the value of x.
I assume you're talking about two square matrices,
[tex]A=\begin{bmatrix}x^2&2\\x&1\end{bmatrix}[/tex]
and
[tex]B=\begin{bmatrix}x&2x\\3x&4x\end{bmatrix}[/tex]
If A is singular, then its determinant is 0:
[tex]\det A=x^2-2x=x(x-2)=0\implies x=0\text{ or }x=2[/tex]
B is not singular, so its determinant is not 0:
[tex]\det B=4x^2-6x^2=-2x^2\neq0[/tex]
This tells you x ≠ 0, so x = 2.
0.02 divided by 924.3
Answer:
46215
Step-by-step explanation:
An ice skating show earned 15,385 in one night. Tickets for the show cost $25 for adults and $15 for children. The number of adults who attendee the shw was 41 more than the number of children who attended the show. How many adults and children attended the show?
Answer:
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Step-by-step explanation:
Total earned = 15,385
Adults = $25
Children = $15
Let
Adults = A
Children = C
The number of adults who attendee the show was 41 more than the number of children who attended the show
A = C + 41
25A + 15C = 15,385
Substitute
A = C + 41
25(C+41) + 15C = 15,385
25C + 1,025 + 15C = 15,385
40C + 1,025 = 15,385
40C = 15,385 - 1,025
40C = 14,360
Divide both sides by 40
C = 14,360 / 40
= 359
C = 359
Substitute C = 359 into
A = C + 41
A = 359 + 41
= 400
A = 400
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
if 5y - 8 < 12, what is the maximum possible value of 10y ?
Answer: The maximum possible value of y is 30 ;)
1 Find the median of the following.
a. 3, 6, 7, 4, 5, 9, 8, 9,7
Answer:
6.4 repeating
Step-by-step explanation:
3 + 6 + 7 + 4 + 5 + 9 + 8 + 9 + 7 = 58
58 ÷ 9 = 6.4444 (and so on)
1. El siguiente conjunto de datos corresponde al tiempo de duración de un estímulo fisioterapéutico en un grupo de estudiantes de la UEF-DAB: 1,8; 1,6; 1,4; 1,7; 1,9; 1,4; 2,1; 2,1; 2,9; 1,4; 2,2; 2,8; 2,3; 1,4; 2,2; 2,2; 1,6; 2,1; 2,0; 1,8. Elabore una tabla simple de frecuencias, luego determine la media aritmética, mediana, moda, varianza y desviación estándar respectiva.
Can you translate in english please for me to answer???
PLEASE HELP ASAP!!!!!
Answer:
9<✓88<10
Step-by-step explanation:
✓88 = 9.38083
describe the error in finding the product (big ideas math)
Answer:
d
Step-by-step explanation:
you have to foil in situations like these, getting you
ksquared +4k+4k+16
2(k)(4) is the same thing as 4k+4k, which is what is missing from the answer
Explain while solving absolute value
inequalities, when should "and" be used and
when should "or" be used?
Answer:
Step-by-step explanation:
I have "and" but not "or"
"and" is when your talking about the decimal point for example:
1.2
one, and, two tenths
Suzie, Georgia and Bernadette do a project together. Suzie does 5/18 of the project, Georgia does 2/9 of the project and Bernadette does 1/2 of the project
How much of the project should still be completed? And who do you think should do the last section of the project?
Answer:
the project has been completed.
Step-by-step explanation:
5/18 +4/18 + 9/18 = 18/18 or 1
so therefore no one has to complete the project, as it has already been completed
Please find the rise over run and draw the line i’m so confused right now.
Answer:
4/3
Step-by-step explanation:
rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.
hopefully this helps! plz consider brainliest! :)
p.s. i put dashes to help count how many points it is from point A to point B
Jaunice is redecorating her room. She wants to paint a design on a rectangular section of her wall That is at least 76.5 ft.². The height of the design will be 8.5 feet. What is the minimum length of the design Juanice will paint on the wall
Answer: 9 feet
Step-by-step explanation:
The minimum length of the design Jaunice will paint on the wall is 9 feet.
It is required to find the the minimum length.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape
Given:
Area of rectangular section of her wall =76.5 ft.²
Height of the design = 8.5 feet.
We know that
Area of rectangle=length*breadth
Area = l*h
76.5 =8.5*l
l=76.5/8.5
l= 9 feet.
Therefore, the minimum length of the design Jaunice will paint on the wall is 9 feet.
Learn more about rectangle here:
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Zeroes of p(x)=x^-2x-3 are
Answer:
x=3 x= -1
Step-by-step explanation:
(x-3)(x+1)
x-3=0. x+1=0
x=3 x= -1
PLEASE HELP MEEEEEE ILL GIVE MAX POINTS AND BRAINIEST TYSMMM <33333
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
Answer:
Please see below :)
Step-by-step explanation:
4 cubed + 8 is the sum.
y is the variable.
9/y is the quotient.
Hope this helps!
inverse function of f(x)=100+4x
Answer:
[tex]f(x)^{-1} =\frac{x}{4} -25[/tex]
Step-by-step explanation:
This is the inverse function of f(x)=100+4x
Write a linear equation given the graph
Answer: Y= 1/-1x+4
Step-by-step explanation: Y equals 1 over negative 1 x plus 4
someone please answer asap
Answer:
alternate exterior angles they are facing diagonally from each other and are on the outside of their respective angles making them alternate exterior
Answer:
Corresponding angles, i.e they are in the congruent matching sides