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TEA [102]
3 years ago
15

The dashed line is given by the equation y=-9/5x-4

Mathematics
1 answer:
Svetlanka [38]3 years ago
8 0

If you're looking for the dashed line, here it is.


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Find the odds of each of the following events. (a) an event E with Pr(E) = 4/7 (b) an event E with Pr(E) = 0.6 (a) The odds are
Dafna1 [17]

Answer:

(a) The odds of event E is 4/3.

(b) The odds of event E is 3/2.

Step-by-step explanation:

Formula for probability of an event:

Probability=\frac{\text{Favorable outcomes}}{\text{Total outcomes}}

Formula for odds of an event:

odds=\frac{\text{Favorable outcomes}}{\text{Unfavorable outcomes}}

(a)

It is given that

P(E)=\frac{4}{7}

The probability of unfavorable event

P(E')=1-P(E)=1-\frac{4}{7}=\frac{3}{7}

Odds of event E is

odds=\frac{P(E)}{P(E')}

odds=\frac{\frac{4}{7}}{\frac{3}{7}}

odds=\frac{4}{3}

Therefore the odds of event E is 4/3.

(b)

It is given that

P(E)=0.6

The probability of unfavorable event

P(E')=1-P(E)=1-0.6=0.4

Odds of event E is

odds=\frac{P(E)}{P(E')}

odds=\frac{0.6}{0.4}

odds=\frac{3}{2}

Therefore the odds of event E is 3/2.

3 0
3 years ago
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first
ludmilkaskok [199]

Answer:

The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

tep-by-step explanation:

Let a = the charge in 1st city before taxes

Let b= the charge in 2nd city before taxes

 

Based on the information given . We can have the following equation (1).

 

y = x - 1500  ......(1).

 

Interms of the information given , the following is formulated based on taxed paid .

 

0.065x + 0.06y = 378.75  .....(2).

Now we substitute equation (1) into (2).

 

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

        Therefor x=3750

Now x value into equation (1)

 

y = 3750 - 1500

y = 2250

 

 

The hotel charge in city one before tax is $3750 and the hotel charge in city two before tax is $2250.

 

8 0
3 years ago
How do you solve a=bx+cx+d for x
galina1969 [7]
<span>a=<span><span><span>bx</span>+<span>cx</span></span>+<span><span>[email protected]</span>x</span></span></span><span>a=<span><span><span>bx</span>+<span>cx</span></span>+d</span></span>Solve for: Let's solve for a.<span>a=<span><span><span>bx</span>+<span>cx</span></span>+d</span></span>Answer:<span>a=<span><span><span>bx</span>+<span>cx</span></span>+d</span></span>
4 0
4 years ago
Read 2 more answers
Harry ,Louis and Niall Are working with exponents. Harry claims 4^2•4^5=4^10 Louis claims 4^2•4^5=4^7 Niall claims 4^2•4^5=16^7
slavikrds [6]

Answer:

Louis is correct

Step-by-step explanation:

we know that

When multiplying two powers that have the same base, you can add the exponents

so

a^{n} a^{m}=a^{n+m}

so

In this problem we have

4^{2} 4^{5}=4^{2+5}=4^{7}

therefore

Louis is correct

4 0
4 years ago
How dows acute angle named an acute angle
Dahasolnce [82]
An acute angle is less than 90 degrees. An easy way to remember is that it's smaller, so it's cuter, meaning an aCUTE angle.
7 0
4 years ago
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