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3 years ago

7

Miss Johnson bought a pair of jeans on sale for $30. The original price was $50. By what percent did the price of the jeans chan

ge?

2 answers:

svetlana [45]3 years ago

6 0

Answer:

the price changed by 40%

12345 [234]3 years ago

5 0

Answer:

40%

Step-by-step explanation:

30 x 2 = 60

50 x 2 = 100

100-60=40

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A food-packaging apparatus underfills 10% of the containers. Find the probability that for any particular 10 containers the numb

Maksim231197 [3]

Answer:

a) $P(X = 1) = 0.38742$

b) $P(X = 3) = 0.05740$

c) $P(X = 9) = 0.00000$

d) $P(X \geq 5) = 0.00163$

Step-by-step explanation:

For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem

There are 10 containers, so $n = 10$ .

A food-packaging apparatus underfills 10% of the containers, so $p = 0.1$ .

a) This is P(X = 1)

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

b) This is P(X = 3)

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

c) This is P(X = 9)

$P(X = 9) = C_{10,9}.(0.1)^{9}.(0.9)^{1} = 0.00000$

d) This is $P(X \geq 5)$ .

Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:

$P(X < 5) + P(X \geq 5) = 1$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{10,0}.(0.1)^{0}.(0.9)^{10} = 0.34868$

$P(X = 1) = C_{10,1}.(0.1)^{1}.(0.9)^{9} = 0.38742$

$P(X = 2) = C_{10,2}.(0.1)^{2}.(0.9)^{8} = 0.1937$

$P(X = 3) = C_{10,3}.(0.1)^{3}.(0.9)^{7} = 0.05740$

$P(X = 4) = C_{10,4}.(0.1)^{1}.(0.9)^{9} = 0.38742$

So

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.34868 + 0.38742 + 0.19371 + 0.05740 + 0.01116 = 0.99837$

Finally

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.99837 = 0.00163$

3 0

3 years ago

What is 5 7/10 plus 3 1/3?

Xelga [282]

Answer:

5 31/30 or 181/30

Step-by-step explanation:

5 0

3 years ago

Answer me please now

Anna35 [415]

Answer:

1. $8.

2. 48 counters.

Step-by-step explanation:

1. A pair of socks cost 20 - 2(6)

= $8.

2. let the number of counters in Box A and Box be be x.

Then the number of counters in Box B after the transfer is x + 1/2 x.

x + 1/2 x = 72

1.5 x = 72

x = 72 / 1.5

= 48.

4 0

3 years ago

Read 2 more answers

Can someone help please!!!!

lara [203]

Answer:

1000 * $3^{9}$ Bacteria after 18 hours,

Step-by-step explanation:

The condition given in the problem is that the number of bacterial triple after every 2 hours.

So, after 2 hours, total bacteria= 1000 * 3

So, after 4 hours, total bacteria= 1000 * 3 * 3

Therefore, the general format for the number of bacteria is 1000 * $3^{n}$ , where n is the number of times the bacteria has tripled.

In 18 hours, there are $\frac{18}{2}$ ties that the bacteria has tripled.

Therefore, the no. of bacteria after 9 hours= 1000 * $3^{9}$

8 0

3 years ago

Match each scenario with the type of correlation it shows

Dafna1 [17]

Yellow line- no correlation.
Blue Line- Positive
Green line- negative
Srry if wrong pls brainless

7 0

3 years ago