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Lostsunrise [7]
3 years ago
6

47.44Cassidy wrote the linear equation y 5x+4 Then, she wrote the equation of the line that is parallel to y 5x+4and thatpasses

through (8, 2). lf her new equation is in the formy 5x+ b, what is the value of b?Mark this and returnSave and ExitNextSubmit

Mathematics
1 answer:
AysviL [449]3 years ago
6 0
Y=mx+b
m=slope
paralell has same slope

point (8,-2)
x=8 and y=-2 is a solution

sub those for x and y
-2=5(8)+b
-2=40+b
minus 40 both sides
-42=b

the value is -42
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Suppose the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars
GuDViN [60]

Answer:

Probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

Step-by-step explanation:

We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N(\mu=95,\sigma^{2}=5^{2})

Now, the z score probability distribution is given by;

         Z = \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = mean income of firms in the industry = 95 million dollars

            \sigma = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

    P(X < 100) = P( \frac{X-\mu}{\sigma} < \frac{100-95}{5} ) = P(Z < 1) = 0.8413   {using z table]

                                                     

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0
3 years ago
If a can is 20cm Haigh X 8cm diameter what is the volume
sattari [20]
Radius=8/2=4cm

volume=4*4*3.14*20=1004.8

The answer is  1004.8cm₃

7 0
3 years ago
If the atomic number of an element is 7 and its mass number is 16, how many neutrons are in the atom's nucleus
Margaret [11]
Number of Neutrons = Atomic mass - Atomic number 
= 16 - 7 = 9

In short, Your Answer would be 9

Hope this helps!
7 0
4 years ago
−14 + 6x + 7 − 2x = 1 + 5x<br> please answer this problem with work
maksim [4K]
Let's solve your equation step-by-step.<span><span><span><span><span>− 14 </span>+ <span>6x </span></span>+ 7</span> −<span> 2x </span></span>=<span> 1 + <span>5x</span></span></span>
Step 1: Simplify both sides of the equation.<span><span><span><span><span>−14 </span>+ <span>6x </span></span>+ 7 </span>− <span>2x </span></span>=<span> 1 +<span> 5x</span></span></span><span>
Simplify: </span><span><span><span>4x - </span><span>7 </span></span>= <span><span>5x</span> + 1</span></span><span><span><span>4x</span> − 7</span>= <span><span>5x </span>+ 1</span></span>
Step 2: Subtract 5x from both sides.<span><span><span><span>4x</span> − 7</span> − <span>5x </span></span>= <span><span><span>5x </span>+ 1</span> −<span> 5x</span></span></span><span><span><span>− x </span>− 7 </span>=1 </span>
Step 3: Add 7 to both sides.<span><span><span><span>−x </span>− 7</span> + 7</span>=<span> 1+7</span></span><span><span>−x</span>=8</span>
Step 4: Divide both sides by -1.<span><span><span>‌<span><span>−x/</span><span>−1 </span></span></span>‌</span>=<span><span>‌<span> 8/<span>−1</span></span></span>‌</span></span><span>x=<span> −8</span></span>
Answer:<span>x= <span>−<span>8
hope this helps :)</span></span></span>
6 0
3 years ago
Cameron is trying to find the equation of a line that
Alchen [17]
Yes it does I went on Desmos graphing Calculator and put in the equation and got those answers
5 0
3 years ago
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