Identify the coefficients and constants in the following expressions: 3 + 7x

Mathematics

1 answer:

valentinak56 [21]1 year ago

6 0

Answer:

Answer

Step-by-step explanation:

3 is the constant since there is no variable beside it, and 7 is the coefficient because there is a variable beside it.

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William has a fish tank that has a volume of 3,825 cubic inches. The base has a width of 12.5 inches and a length of 24 inches.

andre [41]

Answer:

12.75

Step-by-step explanation:

3,825 / 12.5 / 24 = 12.75

3 0

3 years ago

What is 7vr - (-7rv)=

nata0808 [166]

Answer:

14vr

Step-by-step explanation:

7vr - (-7rv)=

Subtracting a negative is like adding

7vr + (7rv)=

Changing the order of rv to vr

7vr + (7vr)=

Combing like terms

14vr

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3 years ago

An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$