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icang [17]
2 years ago
7

a jar contains 4 cherry drops and 10 honey cough drops tpu choose on cough drop with out looking the cough drop is cherry

Mathematics
1 answer:
umka2103 [35]2 years ago
4 0
Total drops = 4 + 10 = 14
Total cherry drop = 4

P(cherry) = 4/14 = 2/7

Answer:P(Cherry) =  2/7
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Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is
Katarina [22]
Prove:

The angle inscribed in a semicircle is a right angle. 

The inscribed angle theorem states that the angle θ, inscribed in a circle is half the measure of the central angle of the circle. So, if the given is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle.  <span />
6 0
2 years ago
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A distribution for a set of wrist circumferences (measured in centimeters) taken from the right wrist of a random sample of newb
lozanna [386]

Answer:

A Histogram will be used to represent the size of right wrist of the random sample of newborn infants.

Step-by-step explanation:

A histogram is the graphical representation of the frequency distribution in the given sample. As the value of circumference can be a positive real number, therefore a Histogram with class boundaries can be formed such that the overall frequency of a wrist size is also visible in the graph.

Also as the distribution will be of continuous nature thus a histogram is a more suitable option as compared to a bar or stem and leaf graph.

3 0
2 years ago
A manufacturing company builds construction machinery. It sells 10 machines for $18,100 and 20 machines for $26,600. Which equat
Anon25 [30]
<h3>Answer:</h3>

D. R(x) = 850x +9600

<h3>Step-by-step explanation:</h3>

Selling 10 more machines increased revenue from $18100 to $26600, an increase of ...

... $26,600 -18,100 = $8,500

That is, the revenue increased by $8500/10 = $850 per machine.

Only one answer choice has this number in it:

... D. R(x) = 850x+9600

_____

<em>Check</em>

R(10) = 850·10 +9600 = 8500 +9600 = 18,100 . . . . OK

R(20) = 850·20 +9600 = 17000 +9600 = 26,600 . . . . OK

_____

<em>Comment on answer selection</em>

On multiple-choice questions, it is rarely necessary to work out the solution to the problem completely. Usually, it is sufficient to find the one number that discriminates between correct and incorrect answers.

In real life, answers are rarely multiple-choice. You are required to work the problem completely and to figure out how to tell if your answer is correct.

Here, we have worked the problem far enough to find the slope, the amount by which revenue increases when sales increases by 1 unit. The intercept can be found different ways. One of them is to see what number makes the revenue match for one of the "x" values:

... R(10) = 850·10 +b = 18100

... b = 18100 -8500 = 9600

so ...

... R(x) = 850x +9600

We can check this answer by computing R(20), as we have above.

8 0
2 years ago
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Supervisor: "I am giving you 10 business days to make a 4% improvement on your average quality score. Your current average quali
kobusy [5.1K]

"Then I will need an average quality score of <u>3.28</u>  to meet 85.28 goal."

<u>Step-by-step explanation</u>:

  • current average quality score = 82
  • improvement on average quality score = 4% of 82

⇒ (4/100)\times82

⇒ 82/25

⇒ 3.28

The improved average quality score = 82+3.28 = 85.28

The employee needs an average quality score of 3.28 to meet the goal of 85.28

5 0
2 years ago
In 154 N38 what digit should be replaced to N to make the number divisible by 3,6 and 9?​
JulsSmile [24]

Answer:

N = 6 so that number becomes divisible by 3, 6 and 9.

Step-by-step explanation:

In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that n = 154N38, then its sum of digits is:

x = 1 + 5+4+N+3+8

x = 21+N (Eq. 1)

We have to determine which digits corresponds to multiples of three, there are four digits:

N = 0

x = 21+0

x = 21 (3\times 7 = 21)

N = 3

x = 21+3

x = 24 (3\times 8 = 24)

N = 6

x = 21+6

x = 27 (3\times 9 = 27)

N = 9

x = 21+9

x = 30 (3\times 10 = 30)

We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:

154038 = 2\times 3\times 25673

154338 =2\times 3\times 29 \times 887

154638 = 2\times 3\times 3\times 11\times 11\times 71

154938 = 2\times 3\times 7\times 7\times 17\times 31

It is quite evident that N = 6 so that number becomes divisible by 3, 6 and 9.

6 0
2 years ago
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