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3 years ago

If log3(x+1) - log3x=2, then x = ?

Mathematics

1 answer:

Stella [2.4K]3 years ago

5 0

Answer:

x= 1/8

Step-by-step explanation:

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Y=-2+4 ¿Cuál es la intersección y de la línea con la ecuación?

Orlov [11]

y = -2x + 4

intersección y es 4

8 0

2 years ago

A multiple choice test has four possible answers for each question. Let X be the number of correct responses in a test of 100 qu

dimulka [17.4K]

Answer:

a. 4.33.

Step-by-step explanation:

If there is only one correct answer out of four alternatives, the expected proportion of correct answers is p =0.25

Sample size (n) = 100 questions

The standard deviation of a proportion 'p' is given by:

$s=\sqrt{\frac{p*(1-p)}{n} }$

Applying the given data:

$s=\sqrt{\frac{0.25*(1-0.25)}{100}}\\s=0.0433$

If X is the number of correct responses in 100 guesses, the standard deviation of X is:

$\sigma = n*s=100*0.0433\\\sigma = 4.33$

The standard deviation of X is 4.33 questions.

7 0

3 years ago

Solve the equation for y (y-3)^2=4y-12

Ket [755]

(y -3)^2 = 4y - 12

Expand.

(y-3)(y -3) = 4y - 12

y² - 6y + 9 = 4y - 12

y² - 6y -4y + 9 + 12 = 0

y² - 10y + 21 = 0

Factors are -7y and - 3y

y² - 10y + 21 = 0

y² - 3y - 7y + 21 = 0

y(y - 3) -7(y - 3) = 0

(y - 3)(y - 7) = 0

y-3 = 0 or y - 7 = 0

y = 0 + 3 or y = 0 + 7

y = 3 or 7

8 0

3 years ago

To which subsets below does the number -9/3 belong ??

emmainna [20.7K]

Integer
because step-by-step-equation

4 0

2 years ago

A semi-circular garden has an area of 18pie m2 what is the perimeter of the garden

nataly862011 [7]

Answer:

6 $\pi$

Step-by-step explanation:

We know that the area of a circle is equal to $\pi$ $r^{2}$ .

A semi-circle is a half-circle, meaning that it will have half of the area of a full circle.

Therefore, a semi-circle's area is equivalent to $\frac{\pi r^{2} }{2}$ .

Set this equation equal to 18 $\pi$ .

Solve for r.

We then find that r = 6.

Now, we need to find the circumference. We know that the equation for the circumference of a circle is 2 $\pi$ r. Since we only need the perimeter of half of a circle, our circumference equation will equal $\pi$ r.

Plug 6 in for r.

The perimeter of the garden is equal to 6 $\pi$ .

7 0

2 years ago