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3 years ago

Lower bound is 18, upper bound is 28. what is the point estimate of the population mean

Mathematics

2 answers:

MrRissso [65]3 years ago

8 0

23 is a good estimate of the mean

hichkok12 [17]3 years ago

7 0

23 is the mean estimate

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Simplify the rational expression. state any restrictions on the variable. n^4-11n^2+30/n^4-7n^2+10

Andrej [43]

For this case we have the following expression:
 $\frac{n ^ 4-11n ^ 2 + 30}{ n ^ 4-7n ^ 2 + 10} 

$
 We are going to make the following change of variables:
 $x = n ^ 2
$
Rewriting the expression we have:
 $\frac{(x ^ 2-11x + 30)}{(x ^ 2-7x + 10)} 

$
Factoring the expression we have:
 $\frac{(x-5) (x-6)}{(x-5) (x-6)} 
$
Canceling similar terms we have:
 $\frac{x-6}{x-2} 
$
Returning the change we have:
 $\frac{n ^ 2-6}{n ^ 2-2} 

$
 The resctrictions of the function are those that make the denominator equal to zero.
We have then:
 $n ^ 2-2 = 0

n = +/- \sqrt{2} 
$
 Answer:
The simplified expression is:
 $\frac{n ^ 2-6}{n ^ 2-2}$
The restrictions are:
 $n = \sqrt{2} 
$
$n = - \sqrt{2}$

7 0

3 years ago

5. Ms. Brown's flight left at 9:20 A.M. Her plane landed 1 hour and 23 minutes later. What time did her plane land?

Eva8 [605]

Answer:

the plane landed at 10:43 A.M

7 0

3 years ago

What is the value of x? Round to the nearest tenth. Please Help

Elodia [21]

Answer:

Step-by-step explanation:

The segment 20.2 cm is the tangent. Therefore x and 20.2cm are perpendicular.

Use the Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=x,\ leg=20.2cm,\ hypotenuse=(14.7+x)cm$

Substitute:

$x^2+20.2^2=(14.7+x)^2$ use (a + b)² = a² + 2ab + b²

$x^2+408.04=14.7^2+(2)(14.7)(x)+x^2$ subtract x² from both sides

$408.04=216.09+29.4x$ subtract 216.09 from both sides

$191.95=29.4x$ divide both sides by 29.4

$x\approx6.5\ cm$

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3 years ago

What is the possible rational roots for this polynomial 6x³+5x²+10x+3=0

8090 [49]

Answer:

See below.

Step-by-step explanation:

Using the Rational Roots Theorem:

Factors of 3: 1, 3 ( = p).

Factors of 6: 1,2,3,6 ( = q).

Possible real roots are a 1 or 3 from p / q = +/- 1/1, +/- 3/1 , +/-1/2, +/- 1/3 , +/- 1/6, +/- 3/2.

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2 years ago

WILL MARK BRAINLISET PLUS A THANKS!!!

harkovskaia [24]

You want to find the area of the circle. The formula for the area of a circle is A=πr^2 (Area=pi times radius squared). The diameter is the distance across the circle. Radius is half the diameter. Diameter=3. 3 divided by 2 equals 1.5. So, plug it into the equation. A=π1.5^2 (Area=pi times 1.5 squared).

8 0

3 years ago