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3 years ago

Estimate the Circumference of this circle. 10m

Mathematics

1 answer:

Rina8888 [55]3 years ago

7 0

Answer:

62.8

Step-by-step explanation:

10*2=20

20*3.14= 62.8

HOPE IT HELPS

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Someone plz help because I am using my last amount of points and I don't want it to be wasted from no answer.I need help with qu

ser-zykov [4K]

Wheres the questions???

7 0

3 years ago

The following data gives the speeds (in mph), as measured by radar, of 10 cars traveling north on I-15. 76 72 80 68 76 74 71 78

____ [38]

Answer:

71.123 mph ≤ μ ≤ 77.277 mph

Step-by-step explanation:

Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:

$m-t_{a/2,n-1}\frac{s}{\sqrt{n} }$ ≤ μ ≤ $m+t_{a/2,n-1}\frac{s}{\sqrt{n} }$

Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and $t_{a/2,n-1}$ is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.

the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.

So, if we replace m by 74.2, s by 5.3083, n by 10 and $t_{0.05,9}$ by 1.8331, we get that the 90% confidence interval for the mean speed is:

$74.2-(1.8331)\frac{5.3083}{\sqrt{10} }$ ≤ μ ≤ $74.2+(1.8331)\frac{5.3083}{\sqrt{10} }$

74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077

71.123 ≤ μ ≤ 77.277

8 0

3 years ago

Consider a function <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cfrac%7B%281%20-%20x%29%5E2%7D%7B%281%20%2B%20x%29%5E2%

SCORPION-xisa [38]

Answer:

x2−2x+1

x3+2x2+x

Step-by-step explanation:

Let's solve for f.

fx=

(1−x)2

(1+x)2

Step 1: Multiply both sides by x^2+2x+1.

fx3+2fx2+fx=x2−2x+1

Step 2: Factor out variable f.

f(x3+2x2+x)=x2−2x+1

Step 3: Divide both sides by x^3+2x^2+x.

f(x3+2x2+x)

x3+2x2+x

x2−2x+1

x3+2x2+x

x2−2x+1

x3+2x2+x

8 0

4 years ago

20 points and brainliest if answered correctly

Elena L [17]

Answer:

$y=9,x=4$

Step-by-step explanation:

System of equations:

$x+y=13$

$60x+80y=960$

_____________

simplify:(isolate x)

$x=$ $\frac{4(-y+12)}{3}$

$x+y=13\\$

substitute equation for x into second equation:

$\frac{4(-y+12)}{3} +y=13\\$

simplify:

$\frac{-y+48}{3}=13\\ y=9\\$

substitute y into equation for x:

$x=4$

5 0

2 years ago

Find Arc Measures of two diameters

svetoff [14.1K]

Answer:

m arc ACD =310

m arc AC = 130

Step-by-step explanation:

drawing the figure helps

if you do, should get something like the figure below

filling in arc ad as 50 degrees tells you that the angle describing it is also 50 degrees; it's a central angle.

and we know that 1/2 of a circle is 180 degrees. so if you subtract 50 from 180 you'll get 130 which will be your measurement for arc AC (because it is a central angle and AC

+AD completes the 180 half.).

as well as that to get ACD, well 1st we know that arc AC is within arc ACD. that would mean that ACD has to be more than 130.

what you can do is subtract 50 from 360. the entire circle is 360, but seeing as the arc is ACD (The rest of the circle excluding arc AD since we aren't looking for that measurement) we can just subtract.

subtracting 50 from 360 will give you 310

3 0

3 years ago