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kumpel [21]
3 years ago
6

2/5, 1/8a commondenominator:​

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

Answer:

40

Step-by-step explanation:

5(8)

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Simplify x^2+3x-10/x^2-25
Natasha_Volkova [10]

Answer:

3x -10 / -25

Step-by-step explanation:

cancel off the x²

6 0
3 years ago
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
A rectangle's length, x, is 2 meters greater than its width. If the perimeter of the rectangle is greater than 112 meters, what
kotykmax [81]
Assume widthis x-2
perimeter is 2*(width+length)
so 2*(x+x-1)>112
2*(2x-1)>112
4x-2>112
x>28.5
so any length greater than 28.5 will work
6 0
3 years ago
Which of the following is the graph of y=x+3
grin007 [14]

Answer:ITS THE SECOND ONE

Step-by-step explanation:

5 0
2 years ago
WalMart offered a 15% discount off the regular price of a Ice Cream Maker. The amount of the discount is $5.00. What is the regu
Leona [35]

Answer:

$33.33

Step-by-step explanation:

We are told in the above :

WalMart offered a 15% discount off the regular price of a Ice Cream Maker.

The amount of the discount is $5.00.

The formula for Percentage Discount =

Discount/Original amount × 100

Original amount = x

Hence:

$5/x × 100 = 15%

= 5/x = 15/100

Cross Multiply

5 = 0.15 × x

5= 0.15x

x = 5/0.15

x = $33.33

Therefore, the regular price of the Ice Cream Maker is $33.33

5 0
2 years ago
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