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3241004551 [841]
2 years ago
14

Please answerr thanksss will mark bainlest

Mathematics
1 answer:
lapo4ka [179]2 years ago
7 0

it should be a closed circle and the arrow should be going to the left.

w <u>< </u>4

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All bags entering a research facility are screened. The screening process is not perfect so that 77% of the bags that contain fo
garik1379 [7]

Answer:

(1) 0.5933

(2) 0.8955

Step-by-step explanation:

We are given that all bags entering a research facility are screened.

Let Probability that bags entering the building contains forbidden material,

 P(F) = 0.69

Probability that bags entering the building does not contains forbidden material,   P(NF) = 1 - 0.69 = 0.31

Let event A = alarm gets triggered

Probability that alarm gets trigger given the bags contain forbidden material, P(A/F) = 0.77

Probability that alarm gets trigger given the bags does not contain forbidden material, P(A/NF) = 0.20

(1) Probability that a bag triggers the alarm, P(A) ;

         P(A) = P(F) * P(A/F) + P(NF) * P(A/NF)

                 = (0.69 * 0.77) + (0.31 * 0.20) = 0.5313 + 0.062

                 = 0.5933

Therefore, probability that a bag triggers the alarm is 0.5933 .

(2) Probability that a bag that triggers the alarm will actually contain forbidden material is given by P(F/A) ;

Using Bayes' Theorem;

    P(F/A) = \frac{P(F) * P(A/F)}{P(F) * P(A/F) + P(NF) *P(A/NF)} = \frac{0.69*0.77}{0.69*0.77+0.31*0.20} = \frac{0.5313}{0.5933}

               = 0.8955

6 0
3 years ago
If m&lt;1=4x+2and m&lt;2=110 what is x
Rina8888 [55]

Answer:

4x2+110=180

4x=68

x=17

4 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this exp
Rudiy27

Answer:

31 feet.

Step-by-step explanation:

It is mentioned in the question that

Height of baseball expressed in feet

T = time in seconds

Also

h=  -16t^2+64t+3

Now the time is 3.5 so put this value to the above equation

h = -16(3.5)^2 + 64(3.5) + 3

= -16(2.25) + 224 + 3

= -196 + 227

= 31

Therefore the height of a baseball is 31 feet and the same is to be considered

7 0
3 years ago
Solve -5 &lt; 4x + 3 &lt; 7.
Sonja [21]

AnswerC

Step-by-step explanation:

4 0
1 year ago
X= 1/3<br>y= 3/5<br>z= 2 1/4<br>x×y×z=?? ​
podryga [215]

HERE SORRY MY CAP ARE ON

Download pdf
4 0
3 years ago
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