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creativ13 [48]
2 years ago
6

The test to detect the presence of a certain protein is 98% accurate for corn plants that have the protein and 97% accurate for

corn plants that
do not have the protein.
If 3.5% of the corn plants in a given population actually have the protein, the probability that a randomly chosen plant is detected incorrectly is
Mathematics
1 answer:
larisa [96]2 years ago
3 0

Using the given percentages, it is found that the probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

<h3>Percentages:</h3>

The percentages associated with an incorrect detection are:

  • 2% of 3.5%(have the protein).
  • 3% of 96.5%(do not have the protein).

Hence:

p = 0.02(0.035) + 0.03(0.965) = 0.02965

The probability that a randomly chosen plant is detected incorrectly is 0.02965 = 2.965%.

You can learn more about percentages and probabilities at brainly.com/question/25960993

You might be interested in
Four students are trying to find the rule that translates point N(–2, –4) to N prime (2, 4). Each student’s reasoning is shown b
german

Four students are trying to find the rule that translates point N (–2, –4) to N prime (2, 4),

According to Lo's statement : The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will give us N'(2,4)

<h3>How do find whose statement is correct?</h3>

To find that we need to first understand students' statements accordingly.

Given: Student statements as:-

  • Raheem: The rule is (x times (negative 1), y times (negative 1)) because Negative 2 times (negative 1) = 2 and Negative 4 times (negative 1) = 4.

  • Casey: The rule is (x + 2, y + 4) because the image is (2, 4).

  • Andrew: The rule is (x + 4, y + 0) because the coordinates are opposites.

  • Lo: The rule is (x + 4, y + 8) because Negative 2 + 4 = 2 and Negative 4 + 8 = 4.

Now let's understand all the statements of respective students,

According to Raheem, his statement is incorrect because it states that we can only use addition or subtraction and not multiplication in transitions.

Therefore, Raheem's answer is NOT CORRECT.

According to Casey, his statement is incorrect because after applying the rule : (x+2, y+4) on the coordinates N(-2, -4) that will give (0,0) but not N'(2,4).

Therefore, Casey's answer is NOT CORRECT.

According to Andrew, his statement is incorrect because after applying the rule: (x+4, y+0) on the coordinates N(-2, -4) that will give us (2,-4) but not N'(2,4).

Therefore, Andrew's answer is NOT CORRECT.

According to Lo, his statement is correct because after applying the rule: (x+4, y+8) on the coordinates N(-2, -4) that will give us N'(2,4).

Therefore, Andrew's answer is CORRECT.

Hence, The answer of Lo is Correct By applying the rule (x+4, y+8) on the coordinates N(-2, -4) will give us N'(2,4)

Learn more about Logical questions here;

brainly.com/question/415220

5 0
2 years ago
Find the y intercept of the line on the graph​
Papessa [141]

Answer:

(0,0)

Step-by-step explanation:

The y-intercept is when the line touches the y axis on the graph. In this case, it is touching the origin.

6 0
3 years ago
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest<br> form.
JulsSmile [24]

Answer:

x = 40

y= 20

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 20 sqrt(3)/ x

x sin 60 = 20 sqrt(3)

x = 20 sqrt(3)/ sin 60

x = 20 sqrt(3)/ sqrt(3)/2

x = 20 *2

x = 40

tan theta = opp /adj

tan 60 = 20 sqrt(3)/y

y = 20 sqrt(3)/ tan 60

y = 20 sqrt(3) / sqrt(3)

y = 20

6 0
3 years ago
Plz help me I got broken up with yesterday I will give brainlyest I'm going thru a lot
victus00 [196]

Answer:

y = -2/5x + 3

Step-by-step explanation:

Start with your given:

2x + 5y = 15

Isolate y:

5y = -2x + 15

Divide 5 on both sides:

y = -2/5x + 3

Hope that helped. Hang in there! :)

3 0
3 years ago
Read 2 more answers
10. The product of -2 and a number n is increased by 15. The result is greater than 3. Choose the inequality that represents the
natita [175]

Answer:

-2n+15>3

Step-by-step explanation:

6 0
1 year ago
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