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2 years ago

What is the solution to 5(4x-1.5x)+12-2

Mathematics

2 answers:

KIM [24]2 years ago

8 0

Answer:

12.5x+10

Step-by-step explanation:

I'm assuming that you want to simplify this, because there is no equal sign.

If you want to simplify, first combine like terms.

First solve the first half of the equation: 20x-7.5x=12.5x

Now solve the second half of the equation: 12-2=10, so we have 12.5x+10.

That's your answer: 12.5x+10

aleksandrvk [35]2 years ago

4 0

Answer:

x = 0.8

Step-by-step explanation:

Your equation is 5(4x - 1.5x) + 12 - 2. Simply, you have to solve for x.

First, you have to do distributive property. 5 x 4 and -1.5 (1.5 is negative as I plus-minus.) This will now lead you to have the equation 20x + -7.5x + 12 - 2.

Next, you subtract 12 - 2. Then add 20x + -7.5x. Your equation should be 12.5x = 10.

Since you want x by itself, you will divide all by 12.5 in which 10 divided by 12.5 is 0.8. So your final answer is

x = 0.8

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What number must be added to the expression below to complete the square? x^2+x. a.1/4 b.1/2 c.2 d.1

torisob [31]

Option a. 1/4 is the right answer

Step-by-step explanation:

Given expression is:

$x^2+x$

Here

we know that

a = x

In order to find the number which should be added

comparing with the formula

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Hence,

Option a. 1/4 is the right answer

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3 years ago

Suppose that prior to conducting a coin-flipping experiment, we suspect that the coin is fair. How many times would we have to f

STALIN [3.7K]

Answer: b) 84

Step-by-step explanation:

Let p be the prior estimate of the required proportion.

As per given , we have

p =0.5 (The probability of getting heads on a fair coin is 0.5)

Significance level : $\alpha: 1-0.90=0.10\\$

Critical z-value (using z-value table ) : $z_{\alpha/2}=1.645$

Confidence interval width : w= 0.18

Thus , the margin of error : $E=\dfrac{w}{2}=0.09$

Formula to find the sample size ( if prior estimate of proportion is known.):-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2$

Substitute the values , we get

$n=0.5(1-0.5)(\dfrac{1.645}{0.09})^2$

Simplify ,

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hence, the correct answer is b) 84

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