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2 years ago

Find the solution of 3.75x +15 = 63.75

Mathematics

2 answers:

ipn [44]2 years ago

7 0

Answer:

x = 13

Step-by-step explanation:

to solve this just simply collect the like terms and divide both sides by the coefficient of x

solution

3.75x +15 = 63.75

3.75x = 63.75 -15

3.75x = 48.75

divide both sides by the coefficient of x which is 3.75

3.75x/3.75 = 48.75/3.75

x = 13

gizmo_the_mogwai [7]2 years ago

3 0

Answer:

The answer is x = 13.

Step-by-step explanation:

first, move the constant to the right and change its sign, (+15)

3.75 x = 63.75 -15

next, subtract the numbers, (65.75 -15)

3.75x = 48.75

then, divide both sides of the equation by 3.75,

final answer, x = 13

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We are given that a pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome).

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So, 95% confidence interval for the true proportion, p is ;

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P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

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= [ $0.50-1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } }$ , $0.50+1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } }$ ]

= [0.238 , 0.762]

Therefore, 95% confidence interval for p, the true proportion of all women who will find success with this new treatment is [0.238 , 0.762].

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