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ruslelena [56]
2 years ago
12

The ages of two sisters are consecutive even integers. Twice the age of the youngest exceeds the oldest by 8. How old is the you

ngest sister?
Mathematics
2 answers:
dezoksy [38]2 years ago
8 0

Answer:

10 years old

Step-by-step explanation:

Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive <em>even</em> numbers.

"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:

2x = (x + 2) + 8

2x = x + 10

x = 10

So, the youngest sister is 10 years old.

Radda [10]2 years ago
8 0

Answer:

10 ?

Step-by-step explanation:

you gotta add the 8 + 2 = 10

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Answer:

64.94

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You arrange the numbers in such a way, to be in line with their decimal points like this:

70.7

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2 years ago
In a list of households, own homes and do not own homes. Five households are randomly selected from these households. Find the p
hichkok12 [17]

Answer:

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

Step-by-step explanation:

Adduming the following info: In a list of 15 households, 9 own homes and 6 do not own homes. Five households are randomly selected from these 15 households. Find the probability that the number of households in these 5 own homes is exactly 3.

Round your answer to four decimal places

P (exactly 3)=

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

The probability of success for this case would be:

p =\frac{9}{15}= 0.6 representing the proportion of homes that are own homes

Let X the random variable of interest, on this case we now that:  

X \sim Binom(n=15, p=0.6)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And we want this probability:

P(X=3)

And uing the probability mass function we got:

P(X=3)= 15C3 (0.6)^3 (1-0.6)^{15-3}= 0.00165

4 0
2 years ago
A jewelry prism with a length of 9 inches and a height of 4 1/4 inches. The volume of the jewelry box is 283 1/2 cubic inches. W
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Answer:

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Please help <br> -HA<br> -LL<br> -HL<br> -LA
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Step-by-step explanation:

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