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Firlakuza [10]
3 years ago
7

5 points

Mathematics
1 answer:
jonny [76]3 years ago
5 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

y = \stackrel{\stackrel{m}{\downarrow }}{2}x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 2 and passes through (4 , -3)

(\stackrel{x_1}{4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y+3=2x-8\implies y=2x-11

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A trucking firm has a large inventory of spare parts that have been in storage for a long time. It knowsthat some proportion of
Debora [2.8K]

Answer:

0.1546\leq \widehat{p}\leq 0.3513

Step-by-step explanation:

The firm tests 75 parts, and finds that 0.25 of them are notusable

n = 75

x = 0.25 \times 75 = 18.75≈19

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{19}{75}

\widehat{p}=0.253

Confidence level = 95%

So, Z_\alpha at 95% = 1.96

Formula of confidence interval of one sample proportion:

=\widehat{p}-Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}\leq \widehat{p}\leq \widehat{p}+Z_\alpha \sqrt{\frac{\widehat{p}(1-\widehat{p}}{n}}

=0.253-(1.96)\sqrt{\frac{0.253(1-0.253)}{75}}\leq \widehat{p}\leq0.253+(1.96)\sqrt{\frac{0.253(1-0.253}{75}}

Confidence interval =0.1546\leq \widehat{p}\leq 0.3513

7 0
4 years ago
What the answer to this equation be?
scoray [572]

If you expand the square, you have

\dfrac{1}{4}x^2-3x=7x+8-10x

Simplify the right hand side:

\dfrac{1}{4}x^2-3x=-3x+8

Cancel the -3x appearing on both sides:

\dfrac{1}{4}x^2=8

Multiply both sides by 4:

x^2=32

Consider the square root of both terms (using the doubles sign):

x=\pm\sqrt{32}=\pm4\sqrt{2}

5 0
4 years ago
How do you find this? Question 4.
rosijanka [135]

I am not sure, but I'll give you the layout.


Step-by-step explanation:

32/160= p/100


P=?

P stands for the percent

4 0
3 years ago
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Maksim231197 [3]

Answer:

c) I think'

Step-by-step explanation:

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A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its
OLga [1]

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

<h3>What is a rectangle?</h3>

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

More about the rectangle link is given below.

brainly.com/question/10046743

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