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AURORKA [14]
3 years ago
6

The radius of a circle is 18 inches. A snail crawls along the diameter of the circle at a rate of 3 inches per minute. How long

does it take the snail to make the trip?
Mathematics
1 answer:
yuradex [85]3 years ago
6 0

Answer:

12 minutes

Step-by-step explanation:

The radius is half the diameter, so 18*2 = 36 inches

The diameter is 36 inches.

Divide the diameter by the rate, 36/3 = 12 minutes

Your answer is 12 minutes

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Let the required no. be x

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Find the angle measure to the nearest degree. <br> cos A = 0.7431<br> How do I do this?
svet-max [94.6K]

Answer:

Step-by-step explanation:

If you are looking for a missing angle measure, you use the 2nd button and the cos button.  Make sure, first off, that your calculator is in "degree" mode by hitting the "mode" button and making sure that the "degree" is highlighed and not the "radian".  Then hit "clear".  Once you know that you are in the correct mode, hit "2nd" then "cos" and you will see this on your screen:

cos^{-1}(

Inside the parenthesis you will enter your decimal, so it looks like this now:

cos^{-1}(.7431

You do NOT have to close the parenthesis, but you can if you want to.  Then hit "enter" to get that the angle that has a cosine of .7431 is 42.0038314 or, to the nearest degree, 42

6 0
3 years ago
An article in Knee Surgery, Sports Traumatology, Arthroscopy, "Arthroscopic meniscal repair with an absorbable screw: results an
igomit [66]

Answer:

Mean = 1.57

Variance=0.31

Step-by-step explanation:

To calculate the mean and the variance of the number of successful surgeries (X), we first have to enumerate the possible outcomes:

1) Both surgeries are successful (X=2).

P(e_1)=0.90*0.67=0.603

2) Left knee unsuccessful and right knee successful (X=1).

P(e_2)=(1-0.9)*0.67=0.1*0.67=0.067

3) Right knee unsuccessful and left knee successful (X=1).

P(e_3)=0.90*(1-0.67)=0.9*0.33=0.297

4) Both surgeries are unsuccessful (X=0).

P(e_4)=(1-0.90)*(1-0.67)=0.1*0.33=0.033

Then, the mean can be calculated as the expected value:

M=\sum p_iX_i=0.603*2+0.067*1+0.297*1+0.033*0\\\\M=1.206+0.067+0.297+0\\\\M=1.57

The variance can be calculated as:

V=\sum p_i(X_i-\bar{X})^2\\\\V=0.603(2-1.57)^2+(0.067+0.297)*(1-1.57)^2+0.033*(0-1.57)^2\\\\V=0.603*0.1849+0.364*0.3249+0.033*2.4649\\\\V=0.1115+0.1183+0.0813\\\\V=0.3111

3 0
3 years ago
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