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2 years ago

What’s the slope of the line?

Mathematics

1 answer:

katen-ka-za [31]2 years ago

5 0

Answer:

-3/4

Step-by-step explanation:

1. Slope = rise/run

rise = -3

run = 4

-3/4

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Ava buys a book for $8.58. She pays with a $10 bill. How much change will she get?

cluponka [151]

She will get $1.42 in change
10-8.58=1.42

8 0

3 years ago

Read 2 more answers

A recent college graduate is planning to take the first three actuarial examinations in the coming summer. She will take the fir

erica [24]

Answer:

(a) 0.7

(b) $\frac 13$

Step-by-step explanation:

Let $E_1, E_2,$ and $E_3$ be the events of passing the 1st, 2nd, and 3rd exam individually.

Given that $P(E_1)=0.9\;\cdots(i)$

where $P(E_1)$ denotes the probability of passing the 1st exam.

Condition for passing the second exam is, at first, the candidate must have to pass the 1st exam.

So, $P\left(\frac{E_2}{E_1}\right)=0.8\;\cdots(ii)$

where $P(E_2/E_1)$ denotes the probability of passing the 2nd exam when she already passed the 1st exam (given, 0.8).

Similarly, as the conditional probability of passing the 3rd exam is 0.7, and the condition for this is, at first, she must have to pass the 1st and 2nd exam. i.e,

$P\left(\frac{E_2}{P(E_2/E_1)}\right)=0.7\;\cdots(iii)$

(a) For passing all the exams, the condition is, at first, she has to pass the 1st and 2nd exam, then she has to pass the 3rd exam too. The probability for this conditional has been given as 0.7.

So, the probability that she passes all three exams is 0.7.

(b) Given that she didn't pass all three exams that means she either failed in 1st exam or she passed the 1st and failed in 2nd exam or she passed both 1st and 2nd but failed in the 3rd exam.

Let F be the event that she didn't pass all three exams. So,

$P(F)=(1-P(E_1))+\left(1-\frac{P(E_2)}{P(E_1)}\right)+\left(1-\frac{P(E_2)}{P(E_2/E_1)}}\right)$

$\Rightarrow P(F)=(1-0.9)+(1-0.8)+(1-0.7)=0.6$

Lef $F_2$ be the event that she failed the 2nd exam, so

$P(F_2)=1-\frac{P(E_2)}{P(E_1)}$

$\Rightarrow P(F_2)=1-0.8=0.2$

So, the conditional probability that she failed the 2nd exam is

$P\left(\frac{F_2}{F}\right)=\frac{P(F_2)}{P(F)}$

$\Rightarrow P\left(\frc{F_2}{F}\right)=\frac{0.2}{0.6}=\frac{1}{3}=0.33$

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3 years ago

Select the best answer for the question

Usimov [2.4K]

Answer:

its 72%

Step-by-step explanation:

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3 years ago

150% of what length is 66 cm

svet-max [94.6K]

let's say is "x", thus "x" is the 100%.

we know that 66 is 150%, what is "x"?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 66&150\\ x&100 \end{array}\implies \cfrac{66}{x}=\cfrac{150}{100}\implies \cfrac{66}{x}=\cfrac{3}{2} \\\\\\ 132=3x\implies \cfrac{132}{3}=x\implies 44=x$

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3 years ago

What is the equation of the line that passes through the point (6, 4) and has a slope<br> of - ?

Dafna1 [17]

Hey what’s the slope ?

4 0

3 years ago