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Sonja [21]
3 years ago
12

Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many d

igital cameras as manual cameras left. How many digital cameras did he have first?
Mathematics
1 answer:
nadya68 [22]3 years ago
5 0
Oyebolatoba Beginner
Let d = # digital cameras
Let m = # manual cameras

d + m = 240 equation 1

(d-82) = 3(m-26) equation 2
d - 82 = 3m - 78
d - 3m = 82 - 78
d - 3m = 16 equation 2 simplified

We have two equations with 2 unknowns:

d + m = 240
d - 3m = 16 subtract equation 1 from equation 2
---------------
-4m = -224
m = -224/-4
m = 56

d + m = 240
d = 240-m
d = 240-56
d = 184

He started with 184 digital cameras and 56 manual cameras

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3 years ago
When finding the margin of error for the mean of a normally distributed population from a sample, what is the critical probabili
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Critical probability is the essentially cut-off value. The critical probability when the confidence level of 58% is 0.79.

<h3>What is the critical probability?</h3>

Critical probability is the essentially cut-off value that defines the region where the test statistic is unlikely to lie.

As it is given that the confidence level is 58%. therefore, in order to calculate the critical probability, we need to calculate the margin of error within a set of data, and  it is given by the formula

\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}

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Now, as the confidence interval is given to us, therefore, the value of the alpha can be written as,

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Further, the critical probability, assuming a confidence level of 58% is,

\rm Critical\ Probability, (P*) = 1-\dfrac{\alpha }{2}\\\\\rm Critical\ Probability, (P*) = 1-\dfrac{0.42}{2} = 0.79

Hence, the critical probability is 0.79.

Learn more about Critical Probability:

brainly.com/question/5625386

6 0
2 years ago
Solve for x and y. they both have to be the same number for each equation
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Hey there! :D

y=2x-9

We can plug that in as y, since y is equal to 2x-9. 

5x-3(2x-9)= 23

Distribute. 

5x-6x+27= 23

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Subtract 27 on both sides. 

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Divide both sides by -1.

x=4

Now, plug that in for y. 

y=2(4)-9

y=8-9

y=-1

 (4,-1) <== solution

I hope this helps!
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3 years ago
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shtirl [24]

Answer:b

Step-by-step explanation:

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3 years ago
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