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Harlamova29_29 [7]
3 years ago
11

Find the common ratio of the sequence 90, 60, 40, 80/3 What is the common ratio?

Mathematics
1 answer:
Trava [24]3 years ago
6 0

Answer:

2/3

Step-by-step explanation:

  • <em>Common ratio = next term/previous term</em>

<u>Sequence:</u>

  • 90, 60, 40, 80/3

<u>Common ratio:</u>

  • 60/90 = 2/3
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Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =​
Arte-miy333 [17]

Answer:

x = 12

(2x + 1)° = 25°

(5x + 5)° = 65°

Step-by-step explanation:

By the property of a triangle,

Sum of all angles of a triangle is 180°

In the given right triangle,

(2x + 1)° + 90° + (5x + 5)°= 180°

7x + 96 = 180

7x = 180 - 96

x = \frac{84}{7}

x = 12

Angle (2x + 1)° = 2(12) + 1 = 25°

Angle (5x + 5)° = 5(12) + 5 = 65°

Therefore, all three angles of the right triangle are 25°, 90° and 65°.

4 0
3 years ago
In a fitness club, the ratio of male and female is 3:2. Base on their ability level, they are group into 3 different groups, A,B
ArbitrLikvidat [17]

Answer:35, 1

Step-by-step explanation:

8 0
3 years ago
Find the surface area and use 3.14 for pie
IgorLugansk [536]

Answer:

640.56ft^2

Step-by-step explanation:

V=2πrh+2πr^2

V=2×3.14×6ft×11ft+2×3.14×6^2

V=6.28×66ft^2+6.28×36ft^2

V=414.48ft^2+226.08ft^2

V=640.56ft^2

6 0
3 years ago
An insurance company sells automobile liability and collision insurance. Let X denote the percentage of liability policies that
qaws [65]

Answer:

-764.28

Step-by-step explanation:

Given the joint cumulative distribution of X and Y as

F(x,y) = \frac{xy(x+y)}{2000000}\ \ \ \, \ 0\leq x100, 0\leq y\leq 100

#First find F_x and probability distribution function ,f_x(x):

F_x(x)=F(x,100)\\\\\\=\frac{100x(x+100)}{2000000}\\\\\\\\=\frac{100x^2+10000x}{2000000}\\\\\\=>f_x(x)=\frac{x}{10000}+\frac{1}{200}

#Have determined the probability distribution unction ,f_x(x), we calculate the Expectation of the random variable X:

E(X)=\int\limits^{100}_0 \frac{x^2}{10000}+\frac{x}{200}  dx \\\\\\\\=|\frac{x^3}{30000}+\frac{x^2}{400}|\limits^{100}_0\\\\=58.33\\\\

#We then calculate E(X^2):

E(X^2)=\int\limits^{100}_0 \frac{x^3}{10000}+\frac{x^2}{200}\ dx\\\\=\frac{x^4}{40000}+\frac{x^3}{600}|\limits^{100}_0=4166.67\\\\Var(X)=E(X^2)-(E(X))^2=4166.67-58.33^2\\\\Var(X)=764.28

Hence, the Var(X) is 764.28  

4 0
3 years ago
How many times is 5 x 10^6 larger than 5 x 10^4
gayaneshka [121]
<h3>Answer:</h3>

By <em>100 times</em>.

Step-by-step explanation:

Each time something is in Scientific Notation, to every power of 10 something is multiplied by, it grows by 10 times.

By knowing that, if both equations use the same starting number, you can minus the notation section from the larger value, to find the answer.

10^6 - 10^4 = 10^2 ---> 100 times.

Hope that helps, :)

3 0
3 years ago
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