Express the set x > − 1 x>-1 using interval notation

A week before the election, 1,500 people were asked who they planned to vote for. 45% said they planned to vote for Candidate X.

Nastasia [14]

The answer to you question is 17% Of the people have not yet decided

3 0

3 years ago

A farmer who has fixed amounts of land and capital finds that total product is 24 for the first worker hired, 32 when two worker

ruslelena [56]

Answer:

A. 8.

Step-by-step explanation:

The marginal product is the increase in output (units produced) resulting from employing one more worker. Therefore, the marginal product of the second worker (M2) is given by the difference between the total product with two workers and the total product with one worker.

$M_2 =32-24\\M_2 =8$

The answer is A. 8.

6 0

3 years ago

Find the measure of

Juli2301 [7.4K]

Yea i agree LOL and meatballs are very very yuum e

5 0

3 years ago

In a class of 100 students, 25 have hardcover and 75 students have paperback textbooks. If you randomly choose 15 students in th

Gnom [1K]

Answer:

23.72% probability that 3 of them have hardcover texts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

If you randomly choose 15 students in this class, find the probability that 3 of them have hardcover texts.

Desired outcomes:

3 with hardcover texts, from a set of 25.

15-3 = 12 with paperback texts, from a set of 75. So

$D = C_{25,3}*C_{75,12} = \frac{25!}{3!(22)!}*\frac{75!}{12!(63)!} = 6 \times 10^{16}$

Total outcomes:

15 students from a set of 100. So

$T = C_{100,15} = \frac{100!}{15!85!} = 2.53 \times 10^{17}$

Probability:

$P = \frac{D}{T} = \frac{6 \times 10^{16}}{2.53 \times 10^{17}} = 0.2372$

23.72% probability that 3 of them have hardcover texts.

7 0

2 years ago

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of

rusak2 [61]

The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

$\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1$