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3 years ago

What is the solution to the following equation? (5x-2)^2=10

1 answer:

7 0

Take the square root of both sides to get rid of parenthasees, remember to get the positive and negative root
5x-2=+/-√10
add 2 to both sides
5x=2+/-√10
divide by 5
x= $\frac{2+/- \sqrt{10} }{y}$

x= $\frac{2+ \sqrt{10} }{y}$ or $\frac{2- \sqrt{10} }{y}$

aprox
x=1.03246 or -0.232456

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A consumer advocacy group wants to determine whether there is a difference between the proportions of the two leading automobile

podryga [215]

Answer:

The answer is "0.3206".

Step-by-step explanation:

$H_0: p_1 = p_2\\\\H_a: p_1 \neq p_2\\\\\hat{p_1} = \frac{X_1}{N_1} = \frac{53}{400} = 0.1325\\\\\hat{p_1}= \frac{X_2}{N_2} = \frac{78}{500}= 0.156\\\\\hat{p} = \frac{(X_1 + X_2)}{(N_1 + N_2)} = \frac{(53+78)}{(400+500)} = 0.1456$

Testing statistic:

$z = \frac{(\hat{p_1}- \hat{p_2})}{\sqrt{(\hat{p} \times (1-\hat{p}) \times (\frac{1}{N_1} + \frac{1}{N_2}))}}$

$=\frac{(0.1325-0.156)}{\sqrt{(0.1456\times (1-0.1456)\times (\frac{1}{400} + \frac{1}{500}))}}\\\\ = -0.99$

Calculating the P-value Approach

$\text{P-value}= 0.3206$

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2 years ago

The electrician arrives at Laura’s house to fix her broken furnace. The electrician charges 90 dollars for the first hour and 60

PIT_PIT [208]

Answer:

4 hours

Step-by-step explanation:

Since the initial fee is $90, you will subtract $90 from $330, getting $240. Since every hour after 1 hour is $60, you would divide $240 by $60 getting 4 hours

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3 years ago

Jade is thinking of a number. 3/4 of 200 is the same as 1/8 of her number. What number is she thinking of?

lorasvet [3.4K]

Answer:

1200

Step-by-step explanation:

3/4 of 200 = 150

150 is 1/8 of 1200

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3 years ago

Read 2 more answers

3^sqrt -64w^12<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B%20-%2064w%5E%7B12%7D%7D%20" id="TexFormula1" title=" \s

Agata [3.3K]

-64=(-4)³, w^12=(w^4)³
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7 0

2 years ago

Need help Asap thank you in advance

julia-pushkina [17]

Answer:

$12x^4-20x^2+32x=4x(3x^3-5x+8)$

Step-by-step explanation:

<u>Common Factors</u>

An algebraic expression that is formed by sums or subtractions of terms can be factored provided there are numeric or variable common factors in all the terms.

The following expression

$Z=12x^4-20x^2+32x$

Can be factored in the constants and in the variable x.

1. To find the common factor of the variable, we must locate if the variable is present in all terms. If so, we take the common factor as the variable with an exponent which is the lowest of all the exponents found throughout the different terms. In this case, the lowest exponent is x (exponent 1).

2. To find the common factors of the constants, we take all the coefficients:

12 - 20 - 32

and find the greatest common divisor of them, i.e. the greatest number all the given numbers can be divided by. This number is 4, since 12/4=3, 20/4=5 and 32/4=8

3. The factored expression is

$Z=12x^4-20x^2+32x=4x(3x^3-5x+8)$

$\boxed{12x^4-20x^2+32x=4x(3x^3-5x+8)}$

3 0

3 years ago