Using a scale of 1 cm to represent 1 unit, made the

Element X is a radioactive isotope such that every 81 years, its mass decreases by half. Given that the initial mass of a sample

Ksenya-84 [330]

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.

3 0

3 years ago

find three consecutive odd integers such that 3 times the sum of all three is 24 more than the product if the first and second i

Delicious77 [7]

3 consecutive odd integers : x, x + 2, x + 4

3(x + x + 2 + x + 4) = x(x + 2) + 24
3(3x + 6) = x^2 + 2x + 24
9x + 18 = x^2 + 2x + 24
x^2 - 7x + 6 = 0
(x - 1)(x - 6) = 0

x - 1 = 0
x = 1

x - 6 = 0
x = 6 (this will not work...it is even)

ur 3 consecutive odd integers :
x = 1
x + 2 = 1 + 2 = 3
x + 4 = 1 + 4 = 5

8 0

3 years ago

BRAINLY AWARDED TO FIRST TO ANSWER

kirza4 [7]

The correct answer is that the variable does have a binomial distribution; P(success)=0.5; the number of trials is 5.

This is binomial because it has a fixed number of trials, the trials are independent of each other, the probability of success is constant from trial to trial, and there are only 2 outcomes.

Since success is getting an even number, and there are 3 even numbers out of 6, P(success)=3/6=0.5.

There are 5 trials because you are rolling the cube 5 times.

6 0

4 years ago

Read 2 more answers

4. Estimate the sum of 9.327 + 5.72 + 4.132 to one decimal place.18.729

ziro4ka [17]

The sum for those numbers is 19.179 NOT 18.729. HOWEVER the Estimation of the sum and the answer for this question is 19.2 because the decimal place you are finding has a number to its right that is greater to that decimal place so you add the one to the decimal place you are finding.

6 0

4 years ago

Read 2 more answers

A regression was run to determine if there is a relationship between the happiness index (y) and life expectancy in years of a g

Natasha2012 [34]

Answer:

(A) $y=-0.762+0.119x$

(B) If a country increases its life expectancy, the happiness index will increase.

(C) If the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D) If the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

Step-by-step explanation:

A regression analysis was performed to determine if there is a relationship between the happiness index (y) and life expectancy in years of a given country (x).

The output of the regression analysis are as follows:

a = -0.762

b = 0.119

r² = 0.8649

r = 0.93

(A)

The equation of the Least Squares Regression line of the form y = _ + _ x is:

$y=-0.762+0.119x$

(B)

The correction between the variables happiness index (y) and life expectancy in years of a given country (x) is, 0.93.

The correlation coefficient is positive. This implies that there is a positive relation between the two variables, i.e. as the value of life expectancy in years increases the happiness index also increases.

Thus, if a country increases its life expectancy, the happiness index will increase.

(C)

Compute the value of y for x = x + 3.5 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times (x+3.5)\\\\=(-0.762+0.119x)+0.4165\\\\=y+0.4165$

Thus, if the life expectancy is increased by 3.5 years in a certain country, the happiness index will increase by 0.4165.

(D)

Compute the value of y for x = 67 as follows:

$y=-0.762+0.119x$

$=-0.762+0.119\times 67\\\\=-0.762+7.973\\\\=7.211\\\\\approx 7.21$

Thus, if the life expectancy is 67 years in a certain country, the happiness index will be 7.21.

6 0

4 years ago