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3 years ago

The sum of two numbers is 131. One number is 6 more than 4 times the other. Which of the following is the smaller number

Mathematics

1 answer:

sertanlavr [38]3 years ago

3 0

Answer: oop

Step-by-step explanation:

Let X = smaller number

Let Y = larger number

Sum of numbers is 130 ==> X + Y = 130 ==> Y = 130 - X

4 times the smaller subtracted from the larger is 10 ==>

Y - 4*X = 10

Substitute the value for Y in to the 2nd equation

(130 - X) - 4*X = 10

130 - 5*X = 10

-5*X = -120

X = 24

Y = 130 - 24 = 106

Check: 24 + 106 = 130

106 - 4*24 = 106 - 96 = 10

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I am in the same row as 83 you say me when you start at 10 and count by tens.

yKpoI14uk [10]

Answer:90

Step-by-step explanation:

10,20,30,40,50,60,70,80,90,100

Counting in tens the same row as 83 is 90 .

5 0

3 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

3 years ago

Order the following in descending order<br> -3/4, 1/8, -0.735, 7/8, 1/80, 0.056

Vilka [71]

If you would like to order the following values in descending order, you can do this using the following steps:

- 3/4 = - 0.75
1/8 = 0.125
- 0.735
7/8 = 0.875
1/80 = 0.0125
0.056

The result is: 7/8, 1/8, 0.056, 1/80, - 0.735, -0.75.

5 0

3 years ago

Which figure best demonstrates the setup for the box method of finding the area of a triangle

Ivanshal [37]

Hi there! The third option shows us the best setup.

We can find the area of a triangle with the standard formula area = 1/2 * base * height.

To be able to fill in this formula, we need to have a base and a height. We can't easily find a triangle with given base and height, so we must look for another option.

We can also take the area of a square (length × width) and then divide the answer by 2. This is possible when we take the third setup. Hence the third answer is correct.

4 0

3 years ago

Read 2 more answers

Answer all questions shown

FromTheMoon [43]

SOH CAH TOA

—>

Sin D = 13 sqrt3/26 = 0.76
Sin E = 13/26 = 0.47
Cos D = 13/26 = 0.87
Cos E = 13 sqrt3/26 = 0.64

7 0

2 years ago