The diameter of the circle is 8km.
What is circumference of the circle?
Any great circle's circumference, or the distance between the centre of the sphere and any plane running through it, is measured in metres. Any large circle that passes through a pole-designated location is referred to as a meridian.
Here the given circumference of the circle ,
C= 25.12 km.
Now using circumference of circle formula
C= πd unit
=> 25.12 =3.14 × d
=> d = 25.12 ÷ 3.14
=> d = 8 km.
Therefore the diameter of the circle 8km.
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Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m
If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.
The "Circumference" of a circle is known as the distance around the boundary of a circle.
The circumference of a circle is given by the formula : 2 × π × radius,
where π (pi) is a mathematical constant approximately equal to 3.14,
We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :
⇒ Circumference = 2 × 3.14 × 4.2 meters,
⇒ Circumference ≈ 26.4 meters,
Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.
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WHAT IS THE VALUE OF R IN THE EQUATION? -1.5(4-R)=12
A. NEGATIVE SIX B. NEGATIVE FOUR C.POSITIVE 4 D.POSITIVE SIX
Answer:
just plug in the a b c and d for r and wich ever one makes that equatio equal then it that on
Step-by-step explanation:
Answer:
Step-by-step explanation:
-1.5(4-R)=12 divide both sides by -1.5
4-R=12/-1.5 calculate
4-R= -8 subtract 4 from both sides
-R=-8-4 calculate
-R=-12 multiply by -1
R=12
What is the slope of the line
Step-by-step explanation:
Look at the points (0,-3) and ( 3,0)
slope, m = rise / run = 3 / 3 = 1
Answer:
1
Step-by-step explanation:
y=x+3
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary. show work
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
System of equationsGiven the following function
f(x) = - 0.5x + 2
g(x) = x^3 - 5x^2 + 3
The point of intersection is the point where f(x) = g(x)
x^3 - 5x^2 + 3 = - 0.5x + 2
x^3 - 5x^2 + 3 + 0.5x - 2 = 0
x^3 - 5x^2 + 0.5x + 1 = 0
Factorize and determine the value of x
x = 0.53 and 4.85
If x = 0.53
f(0.53) = -0.5(0.53) + 2
f(0.53) = -0.265 + 2
f(0.53) = 1.375
If x = 4.85
f(4.85) = -0.5(4.85) + 2
f(4.85) = -2.425 + 2
f(4.85) = -0.245
Hence the points of intersection for the two functions and round to the nearest tenth are (0.5, 1.4) and (4.85, -0.3)
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System A
System B
- 3x + 12y = 15
-x+ 4y = 5
7x - 10y = -2
7x– 10y = -2
1) How can we get System B from System A?
Answer:
The answer should actually be option C, replace one equation with a multiple of itself. Then for the second question the answer is A, Yes.
Step-by-step explanation:
Did it on Kahn Academy and these were the right answers, hope this helps! ♥
Answer:
khan
Step-by-step explanation:
Is 4/5 more than 2/3
Answer:
Yes
Step-by-step explanation:
Because if you Mult. the denominator to 15 you get 12/15 and 10/15 Which is less than 12/15
A shop has this offer.
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
At the shop, shirts cost £49 each.
Tim buys 3 shirts
Craig buys 5 shirts
How much more than Tim does Craig pay?
Optional working
Answer: £
+
The amount of money Craig paid more than Tim if the shop has an offer of reduction if a particular amount is spent is £88.
How much more than Tim does Craig pay?The shop discount:
£5 reduction if you spend more than £100
or
£10 reduction if you spend more than £140
or
£20 reduction if you spend more than £180
Cost of a shirt = £49
Tim buys 3 shirts
Total cost of Tim's shirt = £49 × 3
= £147
Amount Tim paid = £147 - £10
= £137
Craig buys 5 shirts
Total cost of Craig's shirt = £49 × 5
= £245
Amount Craig paid = £245 - £20
= £225
Difference between Tim and Craig's pay = £225 - £137
= £88
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Calculate the profit from buying (going long) one European call option: option price = $5, strike price = $100:
The incorrect statement is:
b. Buying the call option will give the investor some advantages over buying the underlying stock.
What is the Strike price?The predetermined price known as the "strike price" is the point at which the buyer and seller of an option enter into a contract or exercise a legitimate, unexpired option.
Given, the profit from buying (going long) one European call option: option price = $5, strike price = $100
a. The break-even price for taking a long position in this call option is $100.
The break-even price for taking a long position in a call option is the strike price plus the premium paid. In this case, the premium paid is $5, and the strike price is $100. Therefore, the break-even price is $105.
b. Buying the call option will give the investor some advantages over buying the underlying stock.
This statement is incorrect. Buying a call option gives the investor the right, but not the obligation, to buy the underlying stock at the strike price. If the stock price goes up, the investor can exercise the option and buy the stock at the lower strike price, realizing a profit.
c. The maximum profit for taking a long position in this call option is unlimited while the maximum loss for taking a long position in this call option is $5.
This statement is correct. The maximum loss, on the other hand, is limited to the premium paid for the option, which in this case is $5.
d. The investor should buy the call option if he expects the price of the underlying stock in the next two months will be more than $100.
This statement is correct. A call option gives the investor the right to buy the underlying stock at the strike price, which in this case is $100. If the investor expects the price of the underlying stock to go up in the next two months, buying a call option can provide a leveraged way to profit from this expectation.
Therefore, option B is incorrect.
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Complete question:
Suppose that an investor is analyzing one European call option on an underlying stock with the following characteristics: The option price is $5, the current stock price is $95, the strike price is $100, and the expiry date of the option is in 2 months. Which of the following statements is incorrect?
Select one:
a. The break-even price for taking a long position in this call option is $100.
b. Buying the call option will give the investor some advantages over buying the underlying stock
c. The maximum profit for taking a long position in this call option is unlimited while the maximum loss for taking a long position in this call option is $5.
d. The investor should buy the call option if he expects the price of the underlying stock in the next two months will be more than $100.
What is the image point of (4, -12) after the transformation rx-axis o D 1/4?
Answer:
(4, 12) is the answer after being reflected over the x-axis
Step-by-step explanation:
=> The x remains the same, the y flips over the x - to be negative
(4, -12) ==>> (4, 12)
--
=> The new point after being reflected over the x-axis is (4, 12) in which is the answer
(4, 12) ==>> Final Solution (Correct)
find an angle between 0 degrees and 360 degrees that is coterminal with -240
The angle between 0 degrees and 360 degrees that is coterminal with -240 is 120 degrees
What are Coterminal angles?Two angles in standard position are called coterminal angles if they have the same terminal side.
When 360 degrees is added to a given angle or when 360 degrees is subtracted from a given angle, we get an angle that is coterminal with the given angle.
Now,
We are to determine an angle between 0 degrees and 360 degrees that is coterminal with -240
To do this, we will add 360 degrees to the given angle
That is,
-240° + 360° = 120°
Hence, the angle is 120 degrees.
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What is the equation of the line that passes through the point (7,6) and has a slope of 0
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
Given,
The points which the line passes, (x₁, y₁) = (7, 6)
Slope of the line, m = 0
We have to find the equation of the line:
We know that,
y - y₁ = m(x - x₁)
So,
y - 6 = 0(x - 7)
y - 6 = 0
y = 6
That is,
The equation of the line that passes through the point (7, 6) with slope 0 is y = 6
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0.5 (-2 + 4d) -13 for d
Step-by-step explanation:
-13 x 4 = -52
-52 x 0.5 = -25
-2 x 0.5 = -1
-1 + -25 = -26
c) For the high jump, each competitor receives multiple opportunities to clear the bar at
each height. On average, Shane completes 3 out of 3 jumps on the lowest bar, 5 out of
6 jumps on the middle bar, and 3 out of 4 jumps on the highest bar. What is
Shane’s overall average number of jumps completed? (2 points)
d) If Shane’s average number of jumps completed is greater than one-half, then the eighth
graders earn 50 points. Which grade should be awarded 50 points**? (1 point)
PLEASE QUICK!
c) Shane’s overall average number of jumps completed is of 2.458275.
d) As Shane's overall average number is greater than one half, then the eight graders will be awarded the 50 points.
How to obtain the average number of jumps completed?The jumps that Shane takes are given as follows:
Lowest bar: 100% probability of completed, as 3/3 = 100.Middle bar: 0.8333 = 83.33% probability, as 5/6 = 0.8333.Highest bar: 0.75 = 75% probability, as 3/4 = 0.75.Then the probabilities for each number are given as follows:
One jump -> only the lowest: 1 x (1 - 0.8333) = 0.1667.Two jumps -> lowest and middle: 1 x 0.8333 x (1 - 0.75) = 0.208325.Three jumps -> all -> 1 x 0.8333 x 0.75 = 0.624975.Then the distribution of the number of jumps completed is given as follows:
P(X = 1) = 0.1667.P(X = 2) = 0.208325.P(X = 3) = 0.624975.The expected value of a discrete distribution is calculated as the sum of each outcome multiplied by it's respective probability, hence:
E(X) = 1 x 0.1667 + 2 x 0.208325 + 3 x 0.624975 = 2.458275.
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What is the probability that 17 adults in a sample of 100 adults pass the fitness test
The probability that 17 adults in a sample of 100 adults pass the fitness test is 0. 0106. option B
What is probability?Probability is simply:
The chance that a particular event will occurThe ratio of the number of outcomes in an exhaustive set of equally likely outcomes that will produce a given event to the total number of possible outcomesWe can use the binomial formula to solve this problem.
\(P(X) = \frac{n!}{x!(n - x)!} * p^x(1 - p) ^n^-^x\)
Where:
p is the probability of success = 0. 10n is the sample size = 100x is the number of successes expected = 17Let's calculate the probability
\(P(17) = \frac{100!}{17! (100 - 17)!} * 0. 1^1^7 ( 1 - 0. 1)^ 1^0^0 ^-^1^7\)
P = 0. 0106
Thus, the probability that 17 adults in a sample of 100 adults pass the fitness test is 0. 0106. option B
The complete question is:
It is known that 10% of adults can pass a fitness test. What is the probability that 17 adults in a sample of 100 adults pass this fitness test?
A. 0.9900
B. 0.0106
C. 0.1000
D. 0.0343
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multi step equation 7x+3=-x+3
7x + 3 = -x + 3
7x + x = 3 - 3
8x = 0
x = 0/8
x = 0
A car is traveling at a rate of 108 kilometers per hour. What is the cars rate in meters per second? How many meters will the car travel in 20 seconds?
Answer:
\(\frac{30meters}{second}\)
600meters
Step-by-step explanation:
Use conversion factors that represent 1. You can cross cancel wods just like numbers.
\(\frac{108km}{1hour}\) · \(\frac{1hour}{60 minutes}\) · \(\frac{1minute}{60seconds}\) ·\(\frac{1000meters}{1 km}\)
\(\frac{108000meters}{3600seconds}\)
\(\frac{30meters}{second}\)
\(\frac{30meters}{second}\) ·\(\frac{20seconds}{1}\)
600 meters
Helping in the name of Jesus.
A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks?
one fifth
10
25
35
35 is a reasonable prediction of the number of times he will select 2 yellow socks?
what is probability?Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 indicates that an event is impossible, and 1 indicates that an event is certain to occur. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
What is event?In probability theory, an event is a set of outcomes or a subset of a sample space. In simpler terms, an event is anything that can happen, or any possible outcome of an experiment or observation. An event can be a single outcome, or it can consist of multiple outcomes.
In the given question,
The theoretical probability of drawing two yellow socks with replacement from a bag containing equal numbers of red, yellow, green, blue, and purple socks is:
P(drawing two yellow socks) = P(yellow) * P(yellow) = (1/5) * (1/5) = 1/25
So, the probability of drawing two yellow socks from the bag in any given trial is 1/25.
To predict the number of times the child will select two yellow socks in 175 trials, we can use the formula for the expected value of a discrete random variable:
E(X) = n * p
where E(X) is the expected number of times the event occurs, n is the number of trials, and p is the probability of the event occurring in a single trial.
In this case, n = 175 and p = 1/25. So,
E(X) = 175 * (1/25) = 7
Therefore, a reasonable prediction of the number of times the child will select two yellow socks in 175 trials is 7. Since this prediction is not one of the answer choices, the closest option is 35, which is more than five times the expected value. However, this is within the range of possible outcomes due to the random nature of the experiment.
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Two boxes have the same volume. One box has a base that is 5cm by 5 The other box has a base that is 10cm by 10cm
How many times as tall is the box with the smaller base?
Answer:2
Step-by-step explanation:
Pls awnser first person right awnser mark brainliest
Answer:
x = 140°
Step-by-step explanation:
If angle DBC is 35° and angle ABD is 105°, you add them together and you get 140°.
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
What is the value of x in the equation below?
7x + 8 = -13
Answer:
x=-3
Step-by-step explanation:
7x=-13-8
7x=--21
x=-21/7
x=-3
points or brainleist please
Answer:
\(x=-3\)
Step-by-step explanation:
\(7x+8=-13\)
\(\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}\)
\(7x+8-8=-13-8\)
\(\mathrm{Simplify}\)
\(7x=-21\)
\(\mathrm{Divide\:both\:sides\:by\:}7\)
\(\frac{7x}{7}=\frac{-21}{7}\)
\(x=-3\)
Hope it helps
Peace
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What is a doubles fact for 7 8?
With "near doubles facts" or "doubles facts plus one," the actual magic happens. When we observe 7+8, we know that 8 is one more than 7, since we already know that 7+7=14. Thus, 15 is one greater than 14. So, 15 is the answer.
We can also consider the fact that it is one less than the doubles. We are aware that 7 + 7 = 14. I then realise that 6 is one less than 7 when I see 7 plus 6. 14 minus one equals 13, thus.
Thus, our knowledge of ten items with doubles increased to approximately 33 information with near doubles! Therefore, it's a really effective tactic!
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James T-shirt business uses the demand function P = -Q+31 and the supply function P = Q-17. According to these functions, what will the
equilibrium point (P.Q) be for James T-shirt business?
The equilibrium point for James T-shirt business is (P, Q) = (7, 24).
To find the equilibrium point (P, Q) for James T-shirt business
we need to set the demand function equal to the supply function and solve for the values of P and Q.
Demand function: P = -Q + 31
Supply function: P = Q - 17
Setting them equal:
-Q + 31 = Q - 17
Adding Q to both sides and subtracting 31 from both sides:
2Q = 48
Dividing both sides by 2:
Q = 24
Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.
P = Q - 17
P = 24 - 17
P = 7
Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).
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(PLEASE ANSWER ASAP)
Answer:
alternate interior angles are congruent
Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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Find the Area in yards.
12 mi
6.9 mi
Answer:
82.8
Step-by-step explanation:
multiply the 2
1 2
6.9
9×2=18
9×1=9
10.8
72.0
____
82.8
where do I start to solve this problem? do I calculate the altitude or use pythagorean theorem?
As shown in the image:
There are two right triangles:
the triangle are similar
naming the points for easy calculation
measure of the angle zyw = measure of the angle yxw
And the measure of the angle ywz = measure of the angle xwy
So, the triangle WYZ will be similar to the triangle WXY
So, the corresponding side will be in proportion
\(\begin{gathered} \frac{wy}{wx}=\frac{wz}{wy} \\ \frac{a}{16}=\frac{4}{a} \\ a^2=4\cdot16=64 \\ a=\sqrt[]{64}=8 \end{gathered}\)In the right triangle ywz:
using Pythagorean theorem:
\(\begin{gathered} yz^2=yw^2+wz^2 \\ b^2=a^2+4^2=8^2+4^2=64+16=80 \\ b=\sqrt[]{80}=8.94 \end{gathered}\)Katherine bought à sandwich for 5 1/2 dollar and a adrink for $2.60.If she paid for her meal with a $ 10 bill how much money did she have left?
To find out how much Katherin have left we need to substrac the amount she spent:
\(10-5\frac{1}{2}-2.6=10-5.5-2.6=1.9\)Therefore she has $1.9 left.
To do this same problem in fraction form we need to convert the 2.6 in fraction, to do this we multiply the number by 10 and divided by ten. Then:
\(2.6\cdot\frac{10}{10}=\frac{26}{10}=\frac{13}{5}\)then we have:
\(\begin{gathered} 10-5\frac{1}{2}-\frac{13}{5}=10-\frac{11}{2}-\frac{13}{5} \\ =\frac{100-55-26}{10} \\ =\frac{19}{10} \end{gathered}\)Therefore, the answer in decimal form is 19/10 dollars.
Please put the following numbers in order largest to smallest: 19/50; 0.37; 40%
Answer:
19/50 40% 0.37
Step-by-step explanation:
19/50 = 0.38
0.37 = 0.37
40% = 0.40
40%, 19/50, 0.37