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grigory [225]
3 years ago
15

A. 3/22 B. 3/7 C. 8/15 D. 8/11

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
6 0
P(Q|R) = P(Q&R)/P(R)
= (3/37)/(7/37)
= 3/7

The appropriate choice is ...
  B. 3/7
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It is known that 10% of the calculators shipped from a particular factory are defective. What is the probability that exactly th
IRINA_888 [86]

Answer:0.0081  or 0.81%

Step-by-step explanation:

The required probability is P(3,5,0.1)= C5 3 * p^3*q^2, where

C5 3=  5!/3/2=4*5/2=10

p is the probability that one randomly selected calculator is defective= 10%=0.1

q is the probability that one randomly selected calculator is non-defective.

q=1-p=1-0.1=0.9

So P(3,5,0.1)= 10*0.1^3*0.9^2=0.01*0.81=0.0081

4 0
3 years ago
What is the approximate area of the shaded sector in the circle shown below
saul85 [17]

Answer:

D) 191

Step-by-step explanation:

The entire circle is 254.5, calculated by using this formula

A=\pi r^{2} \\

Only 3/4 of the circle is needed for the area, however, so you multiply your area by 0.75

3 0
2 years ago
If 1 cm represents 30 km on a map and colorado is shown by a 20cm by 15 cm rectangle on the map, what is the approximate actual
zubka84 [21]

Answer:

20*30km = 600km

15*30km = 450km

600km * 450km = 270000 km^2

Step-by-step explanation:

assuming 1cm --- 30km causes that 2cm --- 60km, 3cm --- 90km, 4cm --- 120km etc. Notice that number of km's is 30 times greater than the number of cm's on a map

using this logic, you calculate both real dimensions of Colorado by multiplying 20*30 = 600 km and 15*30 = 450km

Then we use a formula of an area of a rectangle A=a\cdot b assuming a=600km, \ b=450km and get A=600\cdot 450=270000km^2 which is an actual area of Colorado

3 0
3 years ago
Rosa ran the hurdles in 58.32 seconds. maya ran the hurdles in 54.078 seconds. what is the difference between the two times? 3.9
satela [25.4K]

Answer:

Step-by-step explanation: 4.242

5 0
1 year ago
Un rombo tiene un ángulo de 22 grados. Cuanto vale la suma de sus ángulos que no midan 22 grados?
Igoryamba

Answer:

The sum of the angles that do not measure 22 degrees is equal to 316°

Step-by-step explanation:

The question in English is

A rhombus has a 22-degree angle. How much is the sum of its angles that do not measure 22 degrees worth?

we know that

The opposite internal angles of a rhombus are equal and the adjacent internal angles are supplementary

so

Let

x -----> the measure of an adjacent angle to 22 degrees in the rhombus

x+22°=180°

x=180°-22°=158°

therefore

The sum of the angles that do not measure 22 degrees is equal to

158°+158°=316°

5 0
3 years ago
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