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mario62 [17]
3 years ago
12

Round your answer to the tenths place!!

Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer: OPTION B.

Step-by-step explanation:

Given the formula:

d=\sqrt{w^2+h^2}

We need to solve for "h":

d^2=(\sqrt{w^2+h^2})^2\\\\d^2=w^2+h^2\\\\d^2-w^2=h^2\\\\h=\sqrt{d^2-w^2}

In this case we can identify in the figure that:

d=13.3in\\w=11.3in

Therefore, substituting values, we get that the height of the laptop screen (rounded to the nearest tenth) is:

h=\sqrt{(13.3in)^2-(11.3in)^2}\\\\h=7.0in  

zysi [14]3 years ago
6 0

For this case we apply the Pythagorean theorem, clearing the height we have:

h = \sqrt {d ^ 2-w ^ 2}

According to the data we have:

d = 13.3 \ in\\w = 11.3 \ in

Substituting:

h = \sqrt {(13.3) ^ 2- (11.3) ^ 2}\\h = \sqrt {176.89-127.69}\\h = \sqrt {49.2}\\h = 7.014

We round and we have the height is7.0 \ in

Answer:

Option B

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Step-by-step explanation:

given,

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b. given that base area = 25cm²

volume = base area x thickness

thickness = volume / base area

= 215 / 25

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4 0
3 years ago
What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
A survey of 200 students is selected randomly on a large university campus. They are asked if they use a laptop in class to take
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Answer:

The 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion <em>P</em> is:

CI=p\pm z_{\alpha/2}\sqrt{\frac{p(1- p)}{n}}

The information provided is:

<em>x</em> = number of students who responded as"yes" = 70

<em>n</em> = sample size = 200

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The formula to compute the sample proportion is:

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The R codes for the construction of the 95% confidence interval is:

> x=70

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> s=sqrt((p*(1-p))/n)

> s

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> E=qnorm(0.975)*s

> lower=p-E

> upper=p+E

> lower

[1] 0.2838966

> upper

[1] 0.4161034

Thus, the 95% confidence interval for the true proportion of university students who use laptop in class to take notes is (0.2839, 0.4161).

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Answer:

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