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3 years ago

What is x 2(2x+3)-2=5

Mathematics

1 answer:

Scilla [17]3 years ago

6 0

Answer:

x = 0.25 or $\frac{1}{4}$

Step-by-step explanation:

2(2x + 3) - 2 = 5 (Given)

2 · 2x + 2 · 3 - 2 = 5 (Distributive Property of Equality)

4x + 6 - 2 = 5 (Simplify)

4x + 4 = 5 (Simplify)

4x + 4 - 4 = 5 - 4 (Subtraction Property of Equality)

4x = 1 (Simplify)

$\frac{4x}{4} = \frac{1}{4}$ (Division Property of Equality)

x = 0.25 or $\frac{1}{4}$ (Simplify)

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I need help please on this

Free_Kalibri [48]

Draw
Left side:
(1)Square=1 (1)Triangle=5 (1)Circle=6
1+5=6+6=12
Right side: (2)Circle=6
6+6=12

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3 years ago

Please solve and show steps for both 23 and 24

const2013 [10]

23. The answer is D. If you multiply 0.8 by 5 you get 4 meters which means it would take 5 minutes. Multiplying it by 5 will give you a whole number therefore easier to find on the graph.

24. The answer is G. The square root of 5 is 2.23 and the square root of 2 is 1.4

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3 years ago

Which of the following could be the side lengths of a right triangle?

choli [55]

Recall that in a right-triangle, the hypotenuse, or longest side, is √(a²+b²).

$\bf \sqrt{4.1^2+6.2^2}\qquad \approx\qquad 7.43303437
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\sqrt{40^2+60^2}\qquad \approx\qquad 72.1110255
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\sqrt{3.2^2+5.4^2}\qquad \approx\qquad 6.27694193
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\sqrt{33^2+56^2}\qquad =\qquad 65$

pick your poison.

8 0

3 years ago

According to a recent survey, the population distribution of number of years of education for self-employed individuals in a c

creativ13 [48]

Answer:

a) X: number of years of education

b) Sample mean = 13.5, Sample standard deviation = 0.4

c) Sample mean = 13.5, Sample standard deviation = 0.2

d) Decrease the sample standard deviation

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 13.5 years

Standard deviation,σ = 2.8 years

a) random variable X

X: number of years of education

Central limit theorem:

If large random samples are drawn from population with mean $\mu$ and standard deviation $\sigma$ , then the distribution of sample mean will be normally distributed with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$

b) mean and the standard for a random sample of size 49

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{49}} = 0.4$

c) mean and the standard for a random sample of size 196

$\mu_{\bar{x}} = \mu = 13.5\\\\\sigma_{\bar{x}} = \dfrac{\sigma}{\sqrt{n}} = \dfrac{2.8}{\sqrt{196}} = 0.2$

d) Effect of increasing n

As the sample size increases, the standard error that is the sample standard deviation decreases. Thus, quadrupling sample size will half the standard deviation.

7 0

3 years ago

Leora wants to paint the nursery in her house. The nursery is an 8–by–10–foot rectangle, and the ceiling is 10 feet tall. There

tatuchka [14]

Answer:

The correct answer is - 242 ft^2

Step-by-step explanation:

Given:

one door : 3*6.5 => 19.5 ft^2

other door: 3*6.5 => 19.5 ft^2

a window: 2*3.5 => 7 ft^2

total = 46 ft^2

area of all four walls: 2h (l+b)

= 2(8) (10+8)

= 16 (18)

= 288 ft^2

paint required excluding doors and window:

=> area of your wall - (area of doors and window)

=> 288 - 46

= 242 ft^2

4 0

3 years ago