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alisha [4.7K]
3 years ago
12

How do you slove cot theta = -3

Mathematics
1 answer:
Marizza181 [45]3 years ago
7 0
Cot(Ф)=-3

Ф=arccot(-3)

or

Ф=the inverse cotangent of -3

or

Ф=cot^-1(-3)
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The fuel efficiency in miles per gallon of all bmw 320i's is (approximately) normally distributed with a mean of 25 and a standa
grigory [225]
Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation

If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,
z= \frac{x-\mu}{\sigma / \sqrt{n} }

The random variable is x = 24 mpg.

Part (i):  n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085

Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587

Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228

Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.
6 0
4 years ago
Which equation represents a proportional relationship between
andreev551 [17]

Answer:

D: k*x=y

Step-by-step explanation:

a proportional relationship is basically a linear equation (y=mx+b)

5 0
3 years ago
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does h
dybincka [34]

9514 1404 393

Answer:

  16 nickels

Step-by-step explanation:

Robert can group his coins into groups consisting of 1 nickel and 4 pennies. The value of each group is 9¢, so the number of groups Robert can make is ...

  $1.44/$0.09 = 16 . . . groups

Since there is 1 nickel in each group, Robert has 16 nickels.

8 0
3 years ago
A cylinder and its dimensions are shown. Which equation can be used to find V, the volume of the cylinder in cubic centimeters?
irina [24]

Answer:

The volume of a cylinder is given by the equation:

V = π(R)^^2*h

where π = 3.14, R is the radius and h is the height.

If in the image we see that the radius is 7, then the correct option is D.

If in the image we shee that the DIAMETER is 7 (a linea that goes from end to end of the circle and goes trough the middle) then we know that the radus is half of the diameter, 7/2 = 3.5

in this case he correct option is C.

6 0
3 years ago
Need help don’t understand
Arturiano [62]

Answer:

a) <EGA and <AGB

b) <FGE and <CGB

c) <FGE and <EGC

d) <FGE and <FGA

e) <CGD=55

Step-by-step explanation:

a) Supplementary angles add up to 180 degrees.

<EGA and <AGB are supplementary.

b) Vertical angles are also called X-angles. Think of them as angles in the vertically opposite corners of the letter X.

<FGE and <CGB are a pair of vertical angles

c) Adjacent angles are next to each other.

<FGE and <EGC are a pair of adjacent angles

d) Complementary angles add up to 90 degrees.

<FGE and <FGA are a pair of complementary angles

e) <CGD=<FGA because they are vertical angles.

But <EGA=90-35=55

Therefore <CGD=55

6 0
3 years ago
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