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sergeinik [125]
3 years ago
10

Cot x sin x = cos x?

Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

cot(x) sin(x) = cos(x)

OK so what you are gonna do is first manipulate the left side of the equation

cot(x) sin(x)

So, you are gonna express with sin, cos

cos(x)/ sin(x) sin(x)

Then you will simplify cos(x)/ sin(x) sin(x)  and get:

= cos (x)

So the equation cot(x) sin(x) = cos(x)  is TRUE

(I hope this helps you! If it does please consider giving me the brainliest! It would really help me out and I would really appreciate it)

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The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

8 0
2 years ago
CAN SOMEONE HELP ME WITH THIS????????????????
Lerok [7]

\text{Hello there!}\\\\\text{We're trying to find the area of the shape}\\\text{We can do this by finding the area for the different shapes, then adding}\\\text{them together}\\\\\text{We can find the area of the rectangle,} \,\,84\cdot66=5,544\\\\\text{To find the area of the half circle, we would use the equation:}\,\,A=\frac{3.14r^2}{2}\\\\\text{The radius is half of the diameter, therefore it is 33. Plug 33 in r}\\\\A=\frac{3.14(33)^2}{2}\\\\\text{Solve:}\\\\A=\frac{3.14(33)^2}{2}\\

A=\frac{3.14(1089)}{2}\\\\A=\frac{3419.46}{2}\\\\\text{Divide by 2}\\\\A=1709.73\\\\\text{Since there's two half circles, we would add 1709.73 twice}\\\\\text{Add all the areas together}\\\\1709.73+1709.73+5,544=8963.46\\\\\large\boxed{\text{Area:}\,\,8963.46\,\,\text{m}^2}}

4 0
2 years ago
Evaluate x/y for x equals 3/10 and y equals 4/5
Over [174]

Answer:

  x/y = 3/8

Step-by-step explanation:

y = 4/5 = 8/10, so ...

  x/y = (3/10)/(8/10) = 3/8

_____

One way to divide fractions is to make them have the same denominator. Then their ratio is the ratio of their numerators.

8 0
3 years ago
Convert 50 tons to pounds
Mrrafil [7]

Answer: 100,000 pounds

multiply the mass value by 2000

50×2,000=100,000

5 0
3 years ago
Read 2 more answers
The weights of 1250 pumpkins are normally distributed with mean of 28 pounds and a standard deviation of 6 pounds. About how man
Mekhanik [1.2K]
Kropot72
kropot72 3 years ago
This can be solved by using a standard normal distribution table. The z-score for 34 pounds is 1, the reason being that 34 is one standard deviation above the mean of 28 pounds.
Can use the table to find the cumulative probability for z = 1.00 and post the result? If you do this we can do the next simple steps.
5 0
2 years ago
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