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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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A car traveled 330 miles during a 5½ hour period. If the speed at which the car traveled can be represented in the equation d=rt
Alina [70]

Answer:

The car was travelling at a speed of 60 miles per hour.

Step-by-step explanation:

Given:

Distance traveled = 330 miles

Time Period = 5 \frac12\ hr

we need to find the speed of the car .

Solution:

Time Period = 5 \frac12\ hr

Now we can say that;

\frac12\ hr =0.5\ hr

So Time period = 5+0.5 =5.5\ hr

Now we know that;

Distance traveled (d) is equal to Speed (r) multiplied by Time Period (t).

framing in equation form we get;

d=rt\\\\330 =r\times 5.5

Dividing both side by 5.5 we get;

\frac{330}{5.5}=\frac{5.5r}{5.5}\\\\r = 60\ mi/hr

Hence The car was travelling at a speed of 60 miles per hour.

6 0
3 years ago
The value of a car decreases about 7% percent each year after it is manufactured.The 2017 Honda Civic costs $19,540
Kitty [74]

Answer: a) , where 'A' is the value of car after 't' years.


b) $12446.784



Step-by-step explanation:


Given: A new car that sells for $21,000 depreciates (decreases in value) 16% each year.


Then a function that models the value of the car will be


, where 'P' is the selling price of car, 'r' is the rate of depreciation in decimal, 't' is the time in years and 'A' is the value of car after 't' years.


Thus after substituting given value, the function becomes




To find the value after 3 years, substitute t=3 in the above function.




Hence the value of car after 3 years=$12446.784



5 0
3 years ago
Will is asked to simplify the expression below. 7x - 2(x + 3y) + 3y He states that the simplified expression is 5x + 9y because
galina1969 [7]

Answer: See explanation

Step-by-step explanation:

7x - 2(x + 3y) + 3y

= 7x - 2x - 6y + 3y

= 5x - 3y

Will got 5x + 9y because he didn't multiply the values in the bracket by the minus sign outside the bracket. He multiplied the values by +2 rather than -2. This resulted in the wrong answer that he got.

4 0
2 years ago
please help i don't understand this one i appreciate anyone who helps :) Solve for x. 7x - 3/8 = 6x -
svet-max [94.6K]

Answer:

x = 3/8

Step-by-step explanation:

6 0
3 years ago
Find the Quadratic Formula: m2 - 5m - 14 = 0
anastassius [24]

Answer: Do want to solve it using the quadratic formula because if so the answer is m=7,-2

Step-by-step explanation:

6 0
2 years ago
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