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Free_Kalibri [48]
3 years ago
12

What’s the value of x? G 53° 45 H x°

Mathematics
1 answer:
Kazeer [188]3 years ago
7 0

Answer:

x = 98°

Step-by-step explanation:

95 + 53 + (180 - x) = 180

148 + 180 - x = 180

328 - x = 180

328 - x + x = 180 + x

x + 180 = 328

x + 180 - 180 = 328 - 180

x = 98°

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A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
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Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

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3 years ago
How is slope determined from this graph? Describe exactly how to determine the slope.
Sphinxa [80]

Answer:

Find two points on a graph, and count up/down, and left/right to find rise over run and simplify if you can. For example on this graph the slope from (0,1) to (3,0) is -2/6 or simplify to -1/3 because you go down two and right 6.

Step-by-step explanation:

6 0
4 years ago
Evaluate: <br><br> -4/7 (-3/5) (-7/3)
SOVA2 [1]

\text{Hey there!}

-\dfrac{4}{7}(-\dfrac{3}{5})(-\dfrac{7}{3})\\\\-\dfrac{4}{7}\times-\dfrac{3}{5}=\dfrac{12}{35}\\\text{Reason: -4(-3) = 12 \& -7(-5) = 35}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3} = \text{\bf{ ANSWER}}\\\\\\\dfrac{12}{35}\times-\dfrac{7}{3}=-\dfrac{4}{3}\\\\\\\boxed{\boxed{\text{\bf{Answer}}\bf{\ -\dfrac{4}{5}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

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3 0
4 years ago
What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.
antiseptic1488 [7]

Check the picture below.  So the parabola looks more or less like so.

let's recall that the vertex is half-way between the focus point and the directrix, at "p" units away from both.

Let's notice that the focus point is below the directrix, that means the parabola is vertical, namely the squared variable is the "x", and it also means that it's opening downwards as  you see in the picture, namely that "p" is negative, in this case "p" is 1 unit, and thus is -1.

\bf \textit{parabola vertex form with focus point distance} \\\\ \begin{array}{llll} 4p(x- h)=(y- k)^2 \\\\ \stackrel{\textit{we'll use this one}}{4p(y- k)=(x- h)^2} \end{array} \qquad \begin{array}{llll} vertex\ ( h, k)\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-2\\ k=5\\ p=-1 \end{cases}\implies 4(-1)(y-5)=[x-(-2)]^2\implies -4(y-5)=(x+2)^2 \\\\\\ y-5=-\cfrac{1}{4}(x+2)^2\implies y=-\cfrac{1}{4}(x+2)^2+5

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3 years ago
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