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Butoxors [25]
3 years ago
9

15+ POINTS FOR BEST ANSWERS!!!!!

Mathematics
2 answers:
Kaylis [27]3 years ago
5 0
You are completely right! Good job.
I will explain why;
A. The question states that the triangles are similar, meaning that all corresponding angles are equal and that all the corresponding sides have the same ration. 
It already states the angle of S, which is 102.

B. You know the values of the other angles, and you know the angle sum is 180.
so, 
180-102-39=39
Therefore, this is 39.
Varvara68 [4.7K]3 years ago
3 0
Your guesses are correct.
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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

= 48

The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
4 years ago
If possible step by step explanation. thank you!
elixir [45]

Answer:

A

Step-by-step explanation:

\frac{(3x^{2} )^\frac{1}{2} }{3^\frac{1}{2} } =3

(3x^2)^\frac{1}{2} = 3^\frac{1}{2} x

Remember that \frac{x^b}{x^c} =x^(b-c)

Using that \frac{3^\frac{1}{2}x }{3^\frac{1}{2} }=3^(1/2x-1/2)=3^((x-1)/2)

3^\frac{x-1}{2} =3^1

So we can say: \frac{x-1}{2} =1, because the bases are the same

We can multiply both sides of the equation by 2. We get x-1=2, and x=3. Which is A.

7 0
3 years ago
Given the quadratic function g(x)=x^2, find g(3x-2).
maxonik [38]

Answer:

g(3x-2) = (3x-2)^{2}

Step-by-step explanation:

g(x)=x^{2}

To do this, you must substitute 3x-2 for x in the equation g(x)

g(3x-2) = (3x-2)^{2}

Simplified this would be

9x^{2} -12x+4

7 0
3 years ago
What is 30 divided into 896
a_sh-v [17]

Answer:

Math answers to fraction 896 divided by 30 can be calculated as follows.

896/30 math problems division = 29.8666666667. Therefore 29.8666666667 to 2 decimal places= 29.87

896/30 divided by 2 » (896/30) ÷ 2 » 29.8666666667 ÷ 2 = 14.9333333333 .

8 0
3 years ago
Read 2 more answers
(ASAP) Solve the system by elimination <br><br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
Fantom [35]
To solve by elimination you need to solve for each variable, in this case x, y, and z
x = 1/3
y = 7/3
z = 0

7 0
3 years ago
Read 2 more answers
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