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Andrej [43]
3 years ago
9

According to a​ study, 80​% of​ K-12 schools or districts in a country use digital content such as​ ebooks, audio​ books, and di

gital textbooks. Of these 80​%, 5 out of 10 use digital content as part of their curriculum. Find the probability that a randomly selected school or district uses digital content and uses it as part of their curriculum.
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0

Answer: There is a probability of 40% of getting a school or district uses digital content and uses it as part of their curriculum.

Step-by-step explanation:

Since we have given that

Probability that schools or districts in a country use digital content = 80%

Probability that schools uses digital content as a part of their curriculum out of 80% = \dfrac{5}{10}

So, the probability that a selected school or district uses digital content and uses it as  a part of their curriculum is given by

\dfrac{80}{100}\times \dfrac{5}{10}\\\\=0.8\times 0.5\\\\=0.4\\\\=40\%

Hence, there is a probability of 40% of getting a school or district uses digital content and uses it as part of their curriculum.

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Solve <br>In 2x + In 2=0​
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Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Step-by-step explanation:

We need to solve: ln(2x)+ln(2)=0

Solving:

ln(2x)+ln(2)=0

Adding -ln(2) on both sides:

ln(2x)+ln(2)-ln(2)=0-ln(2)

ln(2x)=-ln(2)

Using logarithmic rule: if log_a b =c\,\,then\,\, b=a^c

So,

2x=e^{-ln(2)}

Simplifying:

2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}

So, Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Keywords: Logarithms

Learn more about Logarithms at:

  • brainly.com/question/11921476
  • brainly.com/question/10633485
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#learnwithBrainly

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4 years ago
Factor the mn+5m-3n-15
neonofarm [45]
The factor of mn+5m-3n-15 is 6m-4n-15.
3 0
3 years ago
Tristan is working on dilating rectangles. Rectangle ABCD is dilated by a factor of 3. The resulting rectangle WXYZ has an area
zloy xaker [14]

Answer:

Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3.

Step-by-step explanation:

The rectangle ABCD is dilated by a factor of 3 to get the rectangle WXYZ whose area is found to be 72 cm².

Let the dimensions of the dilated rectangle WXYZ are a cm by b cm.

So, ab = 72 ........... (1)

Now, the dimensions of the original rectangle are 3 times lesser than the dimensions of rectangle WXYZ.

So, the area of rectangle ABCD will be (\frac{a}{3} \times \frac{b}{3}) = \frac{ab}{9} = \frac{72}{9} = 8 cm² {from equation (1)}

Therefore, Tristan is correct, because he needs to find the possible dimensions for rectangle WXYZ and then divide each dimension by 3. (Answer)

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3 years ago
In equilateral ΔABC, AD, BE, and CF are medians. If FO = 4, then AO =
DedPeter [7]

Answer:

AO=8

Step-by-step explanation:

8, because point O is the centroid because it is the intersection point of the medians. The distance from a vertex to the centroid is always the same, and the ratio of the distance from a vertex to the centroid to the distance from the centroid to the side is always 2:1. So, we know that since FO=4, CO=8. AO=CO, so AO=8.

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3 years ago
Read 2 more answers
What are the solutions to the equation (x-1)(x+5)=0​
Yanka [14]

Answer:

x = 1, -5

Step-by-step explanation:

The answer to the equation is 0 right? So you have to find the value of x to make this equation true. To make (x - 1) equal 0, x has to equal 1, because if x equals 1, then 1 - 1 = 0. It's the same for (x + 5). X would have to equal -5. -5 + 5 = 0.

Pls give brainliest.

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