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WARRIOR [948]
3 years ago
10

Jeremy will roll a number cube, numbered 1-6, twice. What is the probability of rolling an even number, then the number 3?

Mathematics
1 answer:
WITCHER [35]3 years ago
4 0

For the even number it would be I think a 6/6 chance for the three a 2/6 chance.

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Which equation in slope-intercept form represents a line that passes through the point (6,−1) and is perpendicular to the line y
damaskus [11]

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

By definition, if two lines are perpendicular then the product of their slopes is -1.

If we have: y = 2x-7

m_ {1} = 2\\2 * m 2 = - 1\\m_ {2} = - \frac {1} {2}

Thus, the equation is of the form:

y = - \frac {1} {2} x + b

We substitute the point:

-1 = - \frac {1} {2} (6) + b\\-1 = - \frac {1} {2} (6) + b\\-1 = -3 + b\\-1 + 3 = b\\b = 2

Finally, the equation is:

y = - \frac {1} {2} x + 2

Answer:

y = - \frac {1} {2} x + 2

6 0
2 years ago
PLEASE HELP ;)<br> Who did it right?<br><br> Find the slope of the line perpendicular to 2x+3y=8
levacccp [35]

Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

6 0
2 years ago
The population of a county is growing at a rate of 9% per year, compounded continuously. How many years will it take for the pop
torisob [31]

Answer:

t=15.4\ years

Step-by-step explanation:

The  exponential growth function compounded continuously is equal to

A=P(e)^{rt}  

where  

A is the final population  

P is the initial population  

r is the rate of growth in decimal  

t is Number of years

e is the mathematical constant number

we have  

A=4x\\P=x\\ r=9\%=9/100=0.09  

substitute in the function above

4x=x(e)^{0.09t}    

simplify

4=(e)^{0.09t}

Take natural log of both sides

ln(4)=ln[(e)^{0.09t}]

ln(4)=0.09t(ln(e))

ln(e)=1

ln(4)=0.09t

t=ln(4)/0.09

t=15.4\ years

8 0
3 years ago
You deposit $500 into a bank account that pays 2% simple interest. You leave the money in the account for 3 years and no additio
Natasha_Volkova [10]

\bf ~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &3 \end{cases} \\\\\\ I=(500)(0.02)(3)\implies I=30~\hfill \stackrel{\textit{total amount in the account}}{500+30\implies 530}

4 0
3 years ago
Which equation can be solved to find x, the measure of BD in the diagram below?
andriy [413]
The rule for the angle formed outside of circle by intersection show below is given by:
Angle formed outside=1/2(difference of intercepted arcs)
∠ACE=1/2(AE-BD)
∠ACE=53°
AE=233°
BD=x
Hence the formula for obtaining BD will be:
53=1/2(233-x)
The correct answer is A
7 0
3 years ago
Read 2 more answers
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