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4 years ago

PLEASE HELP QUICK

Mathematics

1 answer:

ZanzabumX [31]4 years ago

4 0

y = 150(8 x 12)

y = 14,400

The store ordered a total of 14,400 ounces of soap.

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4.375 miles

Step-by-step explanation:

7/8/12=x/60

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3 years ago

Tamika buys a jet ski priced at $7600, but pays $8056.00 with tax. What is the tax rate where tamika lives

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3 years ago

Consider an unreliable communication channel that can successfully send a message with probability 1/2, or otherwise, the messag

Anon25 [30]

Answer:

6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

Step-by-step explanation:

Consider the provided information.

Let x is the number of times massage received.

It is given that the probability of successfully is 1/2.

Thus p = 1/2 and q = 1/2

We want the number of times do we need to transmit the message over this unreliable channel so that with probability 63/64 the message is received at least once.

According to the binomial distribution:

$P(X=x)=\frac{n!}{r!(n-r)!}p^rq^{n-r}$

We want message is received at least once. This can be written as:

$P(X\geq 1)=1-P(x=0)$

The probability of at least once is given as 63/64 we need to find the number of times we need to send the massage.

$\frac{63}{64}=1-\frac{n!}{0!(n-0)!}\frac{1}{2}^0\frac{1}{2}^{n-0}$

$\frac{63}{64}=1-\frac{n!}{n!}\frac{1}{2}^{n}$

$\frac{63}{64}=1-\frac{1}{2}^{n}$

$\frac{1}{2}^{n}=1-\frac{63}{64}$

$\frac{1}{2}^{n}=\frac{1}{64}$

By comparing the value number we find that the value of n should be 6.

Hence, 6 times we need to transmit the message over this unreliable channel so that with probability 63/64.

7 0

3 years ago

a shipement of 14 microwave ovens contains six defective units A vending company has ordered 4 of these units and selection will

kupik [55]

Answer:

The probability that all 4 units are good is 10.66%.

Step-by-step explanation:

Given that a shipement of 14 microwave ovens contains six defective units, and a vending company has ordered 4 of these units and selection will be random, to determine what is the probability that all 4 units are good the following calculation must be performed:

14 - 6 = 8

8/14 x 8/14 x 8/14 x 8/14 = X

0.5714 x 0.5714 x 0.5714 x 0.5714 = X

0.1066 = X

0.1066 x 100 = 10.66

Therefore, the probability that all 4 units are good is 10.66%.

3 0

3 years ago