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stealth61 [152]

3 years ago

15

Y+3x=8;x=1,0,3 what is answer

1 answer:

Lana71 [14]3 years ago

6 0

The X=1 is Y= 5
The x=0 is Y= 8
The x=3 is Y= -1

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the ratio of blue to yellow paint when mixed to make green paint is 3:2 what percentage of the green paint is made from yellow p

tino4ka555 [31]

Answer:

40%

Step-by-step explanation:

3 + 2 = 5

Since 2 is the ratio of yellow paint, 2/5 x 100 = 40%

Hope this helped!

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3 years ago

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3 years ago

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An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe

Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.

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 combinations 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.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that $p = 0.2$

Sold seven trucks:

This means that $n = 7$

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

$P(X \geq 3) = 1 - P(X < 3)$

In which

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

So

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

$P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097$

$P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670$

$P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148$

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0

3 years ago

Explain the relationship between division and multiplication

Scorpion4ik [409]

Answer: divison is were you divided numbers and multiplication is were you times the number

Step-by-step explanation:

7 0

3 years ago

The floor of Catelyn's bedroom has an area of 123 1/2 square feet. The walls are 9 1/2 feet tall. What is the volume of Catelyn'

saul85 [17]

Answer:

Volume of the Catelyn's bedroom = $1173\frac{1}{4}$ cubic feet

Step-by-step explanation:

Floor of Catelyn's bedroom has area = $123\frac{1}{2}$ square feet

= 123.5 square feet

Height of the walls = $9\frac{1}{2}$ feet

= 9.5 feet

Shape of the room is like a rectangular prism.

Therefore, volume of the bedroom = Area of the rectangular base × Height

= 123.5 × 9.5

= 1173.25

= $1173\frac{1}{4}$ cubic feet

8 0

3 years ago