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4 years ago

Find the value of x. The diagram is not to scale.

Mathematics

2 answers:

Sliva [168]4 years ago

8 0

49 + x = 114
x = 114 - 49 = 65

OLga [1]4 years ago

3 0

The answer would be 65. a

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Hi i need you to convert 9/15 into a decimal and show work please!

kozerog [31]

Answer:

0.6

Step-by-step explanation:

9 is the numerator and 15 is the denominator

divide 9 ÷ 15

which is 0.6

3 0

2 years ago

Read 2 more answers

Find the value of x.

Elenna [48]

Answer:

x=15

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Find each angle measure.<br>

Vitek1552 [10]

Answer for 11-13: m<2: 150, m<6: 150, m<7: 150

Step-by-step explanation:

There is 180 degrees in a straight line. If one part of the line (angle) is 30 degrees, then the other part is 150. If you look at the image, you would see that m<2 is congruent to m<6 ,which means same, and m<7 is congruent to m<3.

Answer for 14-16: m<EBG: 150, m<AGH: 150, m<DHF: 30.

Step-by-step explanation:

4x = 150 2x + 50 = 150

x = 37.5 2x = 150 - 50

4(37.5) = 150 2x = 100

x = 50

2(50) + 50 =

100 + 50 = 150

4 0

3 years ago

Solve the system of equations by substitution

scoundrel [369]

Answer:

(x, y) = (1, 3)

Step-by-step explanation:

given the 2 equations

x + y = 4 → (1)

y = 3x → (2)

Substitute y = 3x into (1)

x + 3x = 4

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

y = 3 × 1 = 3

solution is (1, 3 )

7 0

3 years ago

A) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n

kramer

Answer:

a) The value of A = 2

b) The value of $B = \dfrac{1}{12}$

Step-by-step explanation:

Given that:

X should be the random variable that assumes only positive integer values.

The probability function; $P[X = n] = \dfrac{A}{3^n}$ for some constant A and n ≥ 1.

Then, let $\sum \limits ^{\infty}_{n =1} P[X =n] = 1$

This implies that:

$A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1$

$A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1$

$A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1$

$A \times \dfrac{1}{2}=1$

A = 2

Thus, the value of A = 2

Suppose X represents a e constant A (n> 1). Find A.

b) Let X be a continuous random variable that can assume values between 0 and 3

Then, the density function of x is:

$f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.$

where; B is constant.

Then, using the property of the probability density function:

$\int ^3_0 \ B (x^2+1 ) \ dx = 1\\$

Taking the integral, we have:

$B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1$

$B \Big [\dfrac{3^3}{3} +3 \Big ]= 1$

$B \Big [\dfrac{27}{3} +3 \Big ] = 1$

B [ 9 +3 ] = 1

B [ 12 ] = 1

Divide both sides by 12

$B = \dfrac{1}{12}$

5 0

3 years ago