2 years ago

Solve the equation: 2+3x=4+x(2+x)

1 answer:

4 0

2 + 3x = 4 + 2x + x^2
x^2 - x + 2 = 0

(x - 0.5)^2 - 0.25 + 2 = 0

(x - 0.5)^2 = -1.75

x - 0.5 = +/- sqrt 1.75 * i

x = 0.5 + 1.32i , 0.5 - 1.32i answer

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In the diagram, R, S, and T are all points of tangency. What is the perimeter of Triangle<br> XYZ?

Molodets [167]

Answer:

54 cm

Step-by-step explanation:

Perimeter = TZ + TX + RX + RY + SY + SZ

TZ = 5 cm

TX = 13 cm

RY = 9 cm

RX = TX = 13 cm (tangents drawn from and external point)

SY = RY = 9 cm (tangents drawn from and external point)

SZ = TZ = 5 cm (tangents drawn from and external point)

Plug in the values:

Perimeter = 5 + 13 + 13 + 9 + 9 + 5 = 54 cm

7 0

1 year ago

What is the decimal equivalent of 7/16

Sever21 [200]

The answer is 0.4375

3 0

2 years ago

Read 2 more answers

Oh please i need help lol

drek231 [11]

Answer:

Step-by-step explanation:

Download pdf

6 0

2 years ago

Can I please get help on numbers 28,32, and 38

Bezzdna [24]

28). 2400-1800= 600

600/2400×100= 25%

32). 3264/272000×100

= 1.2%

38). 2000×5%= 100

3500-2000= 1500

1500×7%= 105

100+105= $205

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8 0

2 years ago

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 15. a. Compute the

Kaylis [27]

Answer:

a) (76.21,83.79)

b) (77.32,82.68)

c) Interval decreases

Step-by-step explanation:

We are given the following information in the question:

Sample size, n = 60

Sample mean = 80

Sample standard Deviation, s = 15

a) 95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$80 \pm 1.96(\dfrac{15}{\sqrt{60}} ) = 80 \pm 3.79 = (76.21,83.79)$

b) Sample size, n = 120

95% Confidence interval:

$80 \pm 1.96(\dfrac{15}{\sqrt{120}} ) = 80 \pm 2.68 = (77.32,82.68)$

c) As observed increasing the sample size, the confidence interval become smaller.

8 0

2 years ago