If you are given a paper which has lines which are the length of a needle apart, and then you repeated drop that needle onto the paper, the probability that the needle with cut the line is:
Answers
Answer:
The correct option is;
[tex]\frac{1}{\pi }[/tex]
Step-by-step explanation:
Here we have that
[tex]Probability = \frac{Number \, of \, required\, outcomes}{Number \, of \, possible\ outcomes} = \frac{Dimension \, of \, the \, line}{Size \, of \, the \ needle} = \frac{l \times D}{\pi \times D \times l } = \frac{1}{\pi }[/tex]
Therefore, the probability that the needle will cut the line = 1/π.
Related Questions
About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answers
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
0.000198
So I would say 3.7 or 4
What is the volume of the prism below?
O A. 144 units 3
B. 56 units
C. 288 units 3
D. 180 units 3
Answers
Answer:
A. 144 units³
Step-by-step explanation:
Volume of prism= 1/2×height× base × length
Height= 3
Base= 8
Length= 12
Lets put all of these together
1/2×3 × 8 × 12
1/2×3 = 3/2 × 8 = 12 × 12 = 144 units³
expand if necessary combine like terms
(5x+1) (5x-1)=
Answers
(5x+1) (5x-1)=
Answer:
25x^2 - 1
Step-by-step explanation:
khan
Charlie has 8 flowers. 3 of them are yellow and the rest are pink. How many flowers are pink.
Answers
Answer:
5 flowers are pink
Step-by-step explanation:
Answer:
There are 5 pink flowers.
Step-by-step explanation:
8 flowers - 3 flowers = 5 flowers
hope this helps :)
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6.
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted? Enter your answer, rounded to the nearest hundredth.
Answers
Answer:
You need a z-score of at least 1.09 to get accepted.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
To get accepted into OSU, you need at least a 27. What is the z-score you need to get accepted?
We need to find Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 20.9}{5.6}[/tex]
[tex]Z = 1.09[/tex]
You need a z-score of at least 1.09 to get accepted.
(PLEASE ANSWER QUICK!) Why is it important to understand properties of angles and figures to solve problems?
Answers
Answer:
The relationships, properties, and theorems will be easier to understand when ... Just like you don't want to do a geometry problem without all the given ... In case you want to get a head start… here are arguably some of the most important theorems for triangles: ... In the figure below, both congruent angles have one arch.
Step-by-step explanation:
A bag has 4 blue buttons, 2 yellow buttons, and 5 brown buttons. What is the probability of pulling a brown button?
Answers
Answer: 5/11
Step-by-step explanation:
There are 11 options, and 5 of them give the outcome you want.
5/11
4+2+5= 11
5 out of 11 buttons pulled were brown, so the probability is 5/11
Matt wants to purchase 3.5 pounds of Swiss cheese for a party. Each pound costs $4.95. How much will Matt pay for the Swiss cheese, rounded to the nearest whole cent?
Answers
Answer:
$17.33
Step-by-step explanation:
3.5×4.95
=17.325
= $17.33
Find the period. Principal = 9300 =9300equals, 9300 rupees Annual rate of interest = 13 % =13%equals, 13, percent Total amount = 17 , 763 =17,763equals, 17, comma, 763 rupees Period = =equals years
Answers
Answer:
7 years
Step-by-step explanation:
Given:
Principal P = 9300
Interest rate r = 13% = 0.13
Final amount F = 17,763
Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.
The formula for simple interest is;
Interest I = Prt .....1
t = period
Final amount F = P + I
I = F-P
Substituting into equation 1;
(F-P) = Prt
t = (F-P)/Pr
Substituting the given values;
t = (17,763 - 9300)/(9300×0.13)
t = 7 years
Period = 7 years
Which expression is equivalent to 3(6m)+m
3
6
m
+
m
?
Answers
Answer:
some Equivalent expressions to 3(6m)+m is;
18m+m
6(3m)+m
2(9m)+m
19m
Step-by-step explanation:
What are the domain and range of the logarithmic
function f(x) = log7X? Use the inverse function to
justify your answers.
Answers
Answer:
The domain of f is x > 0.
The range of f is all real numbers.
The domain of the inverse function is all real numbers.
The range of the inverse function is y > 0.
The domain of f is the same as the
range of the inverse function.
The range of f is the same as the
the domain of the inverse function.
Step-by-step explanation:
this is the sample answer, make sure you rewrite in your own words!
The domain and the range of a function are the set of input and output values of the function
The domain and the range of the function are set of real numbers greater than 0
The function is given as:
[tex]f(x) = log_7(x)[/tex]
The above function is a logarithmic function.
From the properties of a logarithmic function, we have:
The x-values are always greater than 0The y-values are always greater than 0This means that, the domain and the range of the function are set of real numbers greater than 0
Read more about domain and range at:
https://brainly.com/question/10197594
Jessica's basketball team qualified for the annual championship tournament in Austin. The coach told the team members they would need to earn $2,500 to pay for gas, food, and hotel expenses. The team had a car wash and a bake sale and so far have earned 45% of the money needed for the trip. How much money do they still need to earn for the trip?
Answers
Answer:
1375
Step-by-step explanation:
Find the sum of (x + 4) and (3x + 2) *
Answers
Answer:
4x+6
Step-by-step explanation:
(x+4)+(3x+2)
=x+4+3x+2
=4x+6
Can anyone help with this math problem ?
Answers
I need some help with this.
Answers
Answer:
Sin A = 4/5
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin A = 40/50
Sin A = 4/5
Answer:
0.8
Step-by-step explanation:
SinA = opposite/hypotenuse
= CB/CA
= 40/50
= 4/5
= 0.8
Round to the nearest hundredth please answer I really need it
Answers
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7) .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places
There are five blue marbles and seven orange marbles in a jar Misha Jaws one blue marble and set it aside what is the probability that Mesa will randomly drawn orange marble from the remaining marbles in jar
Answers
Answer:
7/11
Step-by-step explanation:
Since one of the blue marbles are gone, there 4 blue marbles and 7 orange marbles. To pick an orange marble, the probability is the number of orange marbles over the total marbles. This equals to 7/11.what’s the answer for this question
Answers
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
Answer please ?
Thanks
Answers
Answer:
one solution ... hope this helps
Answer: One solution.
The reason why it is one solution is because you need to figure out the commonality between the two lines. What does this mean? Well, we need to figure out a solution that would prove a link between the two.
We see that there is a point of intersection, and no other points. This means there is only ONE link between the two; one solution.
NEW: The point of intersection could be labeled x. We need a number that satisfies both equations, so there should be only one solution to satisfy both-x.
You could prove this using an equation, but you can already tell by looking at it. If you would like, I'll help you figure out the equation, it may make more sense.
Hope this helps you out! Feel free to ask questions!
A neighborhood recycled 4,918 pounds of paper per week. At this rate, how many pounds of paper can the neighborhood recycle in five weeks?
Answers
Answer:
The answer would be 24,590
Step-by-step explanation:
Going up the multiplication chart like so will determine the answer.
24,590 (5
19,672 (4
14,754 (3
9,836 (2
4,918 (1
Basically just try 4,918 X 5.
Answer:24,590 pounds
Step-by-step explanation:
Do 4,918×5=24,590
Do 1,2 for 5-8 points.
Answers
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
find the LCD OF 11/15 AND 23/54
Answers
Answer:270
Step-by-step explanation: You have the first step right.
54 = 2 * 3^3
15 = 3 * 5
The common denominator will have the highest powers of all the prime factors.
2 * 3^3 * 5
270
f(x) = (x-6)(x + 5)
What are the zeros of the quadratic?
Answers
Answer:
x=6 x=-5
Step-by-step explanation:
f(x) = (x-6)(x + 5)
To find the zeros, set the function equal to zero
0 = (x-6)(x + 5)
Using the zero product of property
0 = x-6 0=x+5
x=6 x=-5
Find the area of this circle. Use 3.14 for piπ.
Answers
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answers
Answer:
0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The y is the variable.
There’s a imaginary -1 in front of the y
what is x if 12= 7x +2 -5x
Answers
Answer:
x=5
Step-by-step explanation:
12= 7x +2 -5x
Combine like terms
12 = 2x+2
Subtract 2 from each side
12-2 =2x+2-2
10 =2x
Divide each side by 2
10/2 =2x/2
5 = x
please help will vote brainliest
Answers
Answer:
D
Step-by-step explanation:
Start by factoring out each radical.
[tex]\sqrt{16x^{3}} = \sqrt{16}*\sqrt{x^{3}} = 4\sqrt{x^{3}}[/tex]
[tex]\sqrt{8x} = \sqrt{4} * \sqrt{2x} = 2\sqrt{2x}[/tex]
Add them to get:
[tex]\frac{4\sqrt{x^{3}}}{2\sqrt{2x}} = \frac{4\sqrt{x}\sqrt{x}\sqrt{x}}{2\sqrt{2}\sqrt{x}} = \frac{4\sqrt{x}\sqrt{x}}{2\sqrt{2}} = \frac{2x^{2}}{\sqrt{2}} = \sqrt{2} x^{2}[/tex]
D is the answer
AN EQUATION AND AN EQUALITY BOTH ALWAYS HAVE ONLY ONE SOLUTION?
TRUE
FALSE
Answers
Hope this helps :)
Answer:
False
Step-by-step explanation:
Both sides can end up unequal, and by that you end up with two solutions. Hope that this helps you and have a great day :)
Which best explains at which restaurant the average meal costs the most money?
Restaurant 1, because the interquartile range of Restaurant 1 is greater
Restaurant 1, because more of the graph is located to the right of the median
Restaurant 2, because the median of Restaurant 2 is greater
Restaurant 2, because the range of Restaurant 2 is greater
Answers
answer:
d). Restaurant 2, because the range of Restaurant 2 is greater
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answers
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
