What is tan(x)-5=0 (With steps)

Alik [6]

Solve for x in the second equation first

8 0

2 years ago

Automobile policies are separated into two groups: low-risk and high-risk. Actuary Rahul examines low-risk policies, connuing un

jonny [76]

Answer:

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

Step-by-step explanation:

It is said that Actuary Rahul examines a low risk policy

Probability of a low risk policy having a claim = 10% = 0.1

Actuary Toby examines high risk policy

Probability of a high risk policy having a claim = 20% = 0.2

Let the number of policies examined by actuary Rahul before he finds a claim and stop be n

Probability that actuary Rahul examines exactly n policies = $0.9^{n-1} (0.1)$

Probability that Toby examines more than n policies = $0.8^n$

Since the claim statuses of policies are mutually independent, the probability that both events happen simultaneously = $0.9^{n-1} (0.1) (0.8)^n$

probability that both events happen simultaneously = $\frac{0.1}{0.9} (0.72^{n})$

The probability that Actuary Rahul examines fewer policies that Actuary Toby = $\sum\limits^ \infty_1 {\frac{0.1}{0.9} 0.72^{n} }$ = $\frac{1}{9}\sum\limits^ \infty_1 { 0.72^{n} } = \frac{1}{9} (\frac{0.72}{1-0.72} ) = \frac{1}{9} (\frac{0.72}{0.28} )$

The probability that Actuary Rahul examines fewer policies that Actuary Toby = 0.2857

5 0

2 years ago

The town recreation committee raised money to increase the circumference of the jogger’s park, which was initially 1000 feet. It

yawa3891 [41]

Answer:C. 3000 ft

Step-by-step explanation:

First, find the radius of the circumference.

By dividing 1000 ft by 2, which is 500, and that is the radius.

Then you multiply the radius by 3, which is 1500.

Finally, you want the circumference, to find the circumference you need to multiply the radius by 2, which is 3000 ft.

That’s it.

3 0

2 years ago

A group of friends were working on a student film. They spent $949 on equipment, which was 73% of their total budget. What was t

wlad13 [49]

Answer:

$\huge\boxed{\sf x = \$ 1300}$

Step-by-step explanation:

Let the total budget be x.

Given condition:

73% of total budget = 949

73% of x = 949

Key:

of => to multiply

% => out of 100

Solution;

$\displaystyle \frac{73}{100} \times x = 949\\\\Multiply \ \frac{100}{73} \ to \ both\ sides\\\\x=949 \times \frac{100}{73} \\\\x = \frac{94900}{73} \\\\x = \$ 1300\\\\\rule[225]{225}{2}$

7 0

1 year ago

Read 2 more answers

A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 36 fee

rusak2 [61]

V^2 = u^2 - 2gh; where v is the final speed, u is the initial speed, g = 9.8 m/s = 0.54 ft/min is the accerelation due to gravity, h = height.
At the maximum height, the final speed is 0.
u^2 = 2gh = 2 x 0.54 x 36 = 38.58
u = sqrt(38.58) = 6.21 ft/min

Therefore, the stne should be thrown with 6.21 ft/min

4 0

2 years ago