If 1/2+2/5s=s-3/4,what is the value of s?

Mathematics

2 answers:

Sauron [17]3 years ago

6 0

Answer:

Step-by-step explanation:

lozanna [386]3 years ago

3 0

Answer: The correct option is

(B) $s=\dfrac{25}{12}.$

Step-by-step explanation: We are given to find the value of s from the following equation :

$\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To find the value of s, we must solve the given equation.

The solution of equation (i) is as follows :

$\dfrac{1}{2}+\dfrac{2}{5}s=s-\dfrac{3}{4}\\\\\\\Rightarrow s-\dfrac{2}{5}s=\dfrac{1}{2}+\dfrac{3}{4}\\\\\\\Rightarrow \dfrac{5-2}{5}s=\dfrac{2+3}{4}\\\\\\\Rightarrow \dfrac{3}{5}s=\dfrac{5}{4}\\\\\\\Rightarrow s=\dfrac{25}{12}.$

Thus, the required value of s is $\dfrac{25}{12}.$

Option (B) is CORRECT.

You might be interested in

Ask Your Teacher Consider a binomial random variable with n = 5 and p = 0.8. Let x be the number of successes in the sample. Eva

Readme [11.4K]

Answer:

0.942 is the required probability.

Step-by-step explanation:

We are given the following in the question:

x is a binomial random variable with n = 5 and p = 0.8.

Then,

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate:

$P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942$