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3 years ago

6

Hannah travels 6 times as many minutes to work as Raoul does. Together, they travel for 63 minutes. How many minutes does Hannah

? Draw a model and write an equation to solve. Also just tell me the strategys to draw the model thank you!

1 answer:

Anna71 [15]3 years ago

7 0

The equation would be 6x+x=63. Not sure how the models play out, but good luck

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There are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25

natali 33 [55]

Answer:

Step-by-step explanation:

Given that there are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25 % are defective, third box contains 300 components of which 40 % are defective.

Box is selected randomly and from this box one component is selected randomly. The chosen component turned out to be defective.

Here A1, A2 and A3 events from drawing I, II and III box are mutually exclusive and exhaustive

B = The drawn ball is defective

Required probability

a) second box = P(A2/B)

= $\frac{P(A_2B)}{P(A_1B+P(A_2B+P(A_3B}$

(by Bayes theorem of conditional probability)

= $\frac{\frac{1}{3} 0.25}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{25}{85} \\=\frac{5}{17}$

b) third box = P(A3/B)

= $\frac{\frac{1}{3} 0.40}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{40}{85} \\=\frac{8}{17}$

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3 years ago

Babysitting for 8 hrs and making $72.00 or babysitting for 6 hrs and making $57.00. Which is the better deal?

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3 years ago

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<em><u>hopefully i helped :)</u></em>

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3 years ago

Write the slope-intercept form of the equation that passes through the point (-3, 5) and is perpendicular to the line y = 1/5x +

aleksley [76]

Answer:

<h2>y = -5x - 10</h2>

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\=========================$

$\text{We have}\ y=\dfrac{1}{5}x+10\to m_1=\dfrac{1}{5}\\\\\text{Therefore}\ m_2=-\dfrac{1}{\frac{1}{5}}=-5.\\\\\text{Put the value of a slope and the coordinates of the point (-3, 5)}\\\text{to the equation}\ y=mx+b:\\\\5=-5(-3)+b\\5=15+b\qquad\text{subtract 15 from both sides}\\-10=b\to b=-10\\\\\text{Finally:}\\\\y=-5x-10$

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3 years ago