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Degger [83]
3 years ago
14

A spinner is divided into many sections of equal size. Some sections are red, some are blue, and the remaining are green. The pr

obability of the arrow landing on a section colored red is 9 over 20. The probability of the arrow landing on a section colored blue is 6 over 20. What is the probability of the arrow landing on a green-colored section?.
Mathematics
2 answers:
tangare [24]3 years ago
7 0

Answer: Probability of the arrow landing on a green colored section is \dfrac{1}{4}

Step-by-step explanation:

Since we have given that

Probability of the arrow landing on a section colored blue = \dfrac{6}{20}

Probability of the arrow landing on a section colored red = \dfrac{9}{20}

Since there are only three sections i.e. red, blue and green.

We need to find the probability of the arrow landing on a section colored green.

Required probability is given by

1-(\dfrac{9}{20}+\dfrac{6}{20})\\\\=1-\dfrac{15}{20}\\\\=\dfrac{20-15}{20}\\\\=\dfrac{5}{20}\\\\=\dfrac{1}{4}

Hence, Probability of the arrow landing on a green colored section is \dfrac{1}{4}

choli [55]3 years ago
5 0
The answer would be 5/20 because you add the probability of red and blue (15/20), then subtract from the total (20) which would make it 5/20.
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If the ratio of the length to the breadth of a rectangle be 5:3 and its perimeter is 144m find the length of the rectangle
Kamila [148]

Answer:

length=45 m (2 sides = 90m)

Step-by-step explanation:

5x +3x=144

8x=144

x=18 (each of the 8 parts of 144 measure 18m)

5(18) + 3(18)=144

90 +54=144

90/2=45 (1 length side)

54/2=27 (1 width side)

The rectangle= 45+45 +27+27 = 144

5 0
3 years ago
Find the value of x in a triangle with one side 11 and 1 angle being 28​
Andre45 [30]

Answer:

C: 12.5

Step-by-step explanation:

The sides x and 11 could be defined as the Adjacent angle and the Hypotenuse. This means that we will use the cos function to solve this.

First we can set up our equation

cos28=\frac{11}{x}

Next we can solve for x by multiplying by x and dividing by cos 28

x=\frac{11}{cos28}\\\\x=12.458\\\\x=12.5

4 0
3 years ago
Read 2 more answers
Product of (8.6×10^2)(3×10^2)in scientific notation
Snowcat [4.5K]

Answer:

in scientific notation = 2.58 × 10⁵

I hope I helped you^_^

8 0
2 years ago
At the end of a recent​ year, Ready Maid Cleaning​ Service, a​ full-service house and office cleaning​ service, had total assets
torisob [31]

Answer:

Ready Maid Cleaning​ Service's liabilities were $2930.

Step-by-step explanation:

At the end of a recent​ year, Ready Maid Cleaning​ Service, a​ full-service house and office cleaning​ service, had total assets of $ 5,810 and equity of $ 2,880.

Liabilities = assets - equity

So, Liabilities = 5810-2880=2930 dollars

Hence, Ready Maid Cleaning​ Service's liabilities were $2930.

3 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
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