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3 years ago

Log4 x + log4 (x – 3) = 1 Solve the equation.

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

7 0

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

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A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first sta

Akimi4 [234]

Answer:

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

Step-by-step explanation:

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

In the first stages of a clinical trial, it was successful for 7 out of the 14 women.

Firstly, the pivotal quantity for 95% confidence interval for the true proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of women who find success with this new treatment = $\frac{7}{14}$ = 0.50

n = sample of women = 14

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

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

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

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

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

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

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

= [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].

4 0

4 years ago

Find m∠1. Then classify the triangle by its angles

omeli [17]

9514 1404 393

Answer:

∠1 = 60°
equilateral triangle

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we have ...

60° +60° +∠1 = 180°

∠1 = 180° -120° = 60°

The measure of angle 1 is 60°.

All of the angles are the same, so this is an equiangular triangle, better known as an equilateral triangle.

3 0

3 years ago

HELP ASAP ILL GIVE 15 POINTS AND ILL MARK BRAINLIEST IF YOUR RIGHT THIS TEST IS ALMOST DUE AND I CANT ANSWER THIS QUESTION

Anvisha [2.4K]

Answer:

x -4, y -1 2. x3.5, y-1

Step-by-step explanation:

4 0

3 years ago

⦁ Find all sets of three consecutive positive odd integers whose sum is less than 22.

Liono4ka [1.6K]

I started writing the list, and I expected it to be a long one.

But it turns out that 1, 3, 5 ... 3, 5, 7 ... and 5, 7, 9 are the only answers.

7 0

4 years ago

I need help with this

Ostrovityanka [42]

Answer:

Christy is correct

Step-by-step explanation:

you dont say the numbers in words all the time, so it makes a lot more sense.

5 0

4 years ago