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3 years ago

What is the solution to the equation? 2x - 4 = 6

Mathematics

2 answers:

rusak2 [61]3 years ago

6 0

Answer:

x = 5

Step-by-step explanation:

2x -4 = 6

Add +4 on both sides

2x = 10

Divide by 2

x = 5

eimsori [14]3 years ago

4 0

Answer:Solution

Step-by-step explanation:

Add 4to both sides of the equation

2x−4=6

2−4+4=6+4

Simplify Add the numbers

2=10

Divide both sides of the equation by the same term

2x=10

22=10

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

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Random samples of size 64 are taken from an infinite population whose mean and standard deviation are 24 and 6.4, respectively.

umka2103 [35]

Answer:

Mean 24, standard error 0.8

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation, also called standard error $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 24, \sigma = 6.4, n = 64$

What are the mean and the standard error of the sample mean?

By the Central Limit Theorem, mean 24 and standard error $s = \frac{6.4}{\sqrt{64}} = 0.8$

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3 years ago

One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per

Evgesh-ka [11]

Answer:

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Step-by-step explanation:

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4 years ago

If y varies directly as x and inversely as z and y = 4 when x = 2 and z = 7, find y when x =

S_A_V [24]

Answer:

y = 28

Step-by-step explanation:

Given that y varies directly as x and inversely as z then the equation relating them is

y = $\frac{kx}{z}$ ← k is the constant of variation

To find k use the condition y = 4 when x = 2 and z = 7, then

4 = $\frac{2k}{7}$ ( multiply both sides by 7 )

28 = 2k ( divide both sides by 2 )

14 = k

y = $\frac{14x}{z}$ ← equation of variation

When x = 6 and z = 3 , then

y = $\frac{14(6)}{3}$ = 14 × 2 = 28

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3 years ago

The original price of a computer was reduced by $250.

zhannawk [14.2K]

Step-by-step explanation:

reduced price = original price - 250 = p - 250

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3 years ago

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What are the surface area and volume of a spherical barrel cactus with a radius of 5 inches?

tino4ka555 [31]

$\bf \textit{surface area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r = 5 \end{cases}\implies SA=4\pi (5)^2 \\\\\\ SA=100\pi\implies SA\approx 314.16 \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}\qquad \qquad V=\cfrac{4\pi (5)^3}{3}\implies V=\cfrac{500\pi }{3}\implies V\approx 523.60$

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3 years ago