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Darya [45]
2 years ago
11

How I can apply the distribute property to this question?

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
8 0

14 = 2•7 and 35 = 5•7, so the GCF of 14k and 35 is 7.

14k + 35 = 2•7k + 5•7 = 7 (2k + 5)

(Remember that the distributive property says a (b + c) = ab + ac.)

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According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at r
amid [387]

This question is incomplete, the complete question is;

According to a recent survey, 73% of all customers will return to the same grocery store. Suppose 14 customers are selected at random, what is the probability that: (Round probabilities to 4 decimal places and the expected customers to 2 decimal places)

a) All 14 will return?

b) How many customers would be expected to return to the store ?

Answer:

a) the probability that All 14 will return is 0.0122

b) The number of customers that would be expected to return to the store is 13.27

Step-by-step explanation:

Given the data in the question;

p = 73% = 0.73

sample size n = 14

a)  the probability that All 14 will return;

P( x = 14 ) = ⁿCₓ × Pˣ × ( 1 - P)^{n-x

we substitute

P( x = 14 ) = ¹⁴C₁₄ × (0.73)¹⁴ × ( 1 - 0.73)^{(14-14)

P( x = 14 ) = [ 14! / ( 14! × ( 14 - 14)!) ] ×  (0.73)¹⁴ × ( 0.27)^{0

P( x = 14 ) = 1 × 0.0122045 × ( 0.27)^{0

P( x = 14 ) = 1 × 0.0122045 × 1

P( x = 14 ) = 0.0122045 ≈ 0.0122 { 4 decimal place }

Therefore, the probability that All 14 will return is 0.0122

b) Expected Customers;

E(x) = n × p

we substitute

E(x) = 14 × 0.73

E(x) =  13.27  { 2 decimal place }

Therefore, The number of customers that would be expected to return to the store is 13.27

8 0
3 years ago
One number is eight less than a second number. Twice the first is 12 more than 4 times the second. Find the numbers.
tia_tia [17]

Answer:

Step-by-step explanation:

"One number is eight less than a second number."

x = y-8

"Twice the first is 12 more than 4 times the second."

2x = 4y+12

substitution

2(y-8) = 4y + 12

2y - 16 = 4y + 12

2y = -28

y = -14

x = y-8 = -22

6 0
3 years ago
how large is the acceleration of a 60 kg runner if the friction between her shoes and the pavement is 500 n?
melomori [17]

The force of friction is given in the scenario:

Force = 500 Newton

and the mass of the runner  is 60 kg

To find the acceleration we need to use the relation between force, mass, and the acceleration of the object:

F=m\times a

Where 'F' represents the force, 'm' represents the mass, and 'a' represents the acceleration.

Plugging the value of variables we get:

500=60\times a

Solving for 'a' (acceleration) we get:

a= \frac{500}{60} =8.33 Newton/kilogram or meters/ second squared

So the acceleration of the runner is 8.33 meters/ second squared.

8 0
3 years ago
Enter the unknown value that makes this statement true. 25% of is 35
Eva8 [605]

Answer:

25% of 140 is 35

Step-by-step explanation:

If 35 is 25% then we can multiply it by 4 to get 100%.

35 x 4=140

4 0
3 years ago
The world record for the longest journey driven by car is 626,960 km. The longest journey by tractor is 21,199 km.
earnstyle [38]
The answer is 605,761 because when it says difference you must subtract.
5 0
3 years ago
Read 2 more answers
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