Find the perpendicular distance from the pointp(6, 4, 2)to the xy-plane.

(a) Use Euler's method with step size 0.2 to estimate y(1.4), where y(x) is the solution of the initial-value problem y' = 3x −

Archy [21]

Answer:

Step-by-step explanation:

5 0

2 years ago

Hey (; I'm taking this rigorous AP Stat course and I've mastered Binomial Sampling but this Geometric Sampling just has me stump

chubhunter [2.5K]

Answer:

1) It is geometric

a) In each trial you can obtain 11 or obtain something else (and fail)

b) Throw 2 dices and watch if the result is 11 or not

c) The probability of success is 1/18

2) It is not geometric, but binomal.

Step-by-step explanation:

1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.

A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.

In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.

2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.

4 0

2 years ago

A fireworks display is launched from a platform 10 feet above ground with an initial upward velocity of 70 feet per second. The

Lena [83]

Answer: A. 87 feet

Step-by-step explanation:

1. You can find the t value of the vertex of the parabola as following:

$t=-\frac{b}{2a}$

2. Substitute values:

a=-16

b=70

Then:

$t=-\frac{70}{2(-16}$

$t=2.18$

3. Substitute the vaue obtained into the equation given in the problem. Therefore, you obtain the following result:

$h=-16t^{2}+70t+10\\h=-16(2.18)^{2}+70(2.18)+10\\h=86.56$

4. To the nearest foot:

h=87 feet

6 0

2 years ago

Sally has a part time job mowing lawns so she can save money for a new car. She charges $5 per hour. What numbers make sense for

Ira Lisetskai [31]

Answer:

Independent: Amount of hours she works

Dependent: Amount of money she makes

Step-by-step explanation:

The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.

The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.

5 0

2 years ago

Read 2 more answers

Given a circle with centre O and radius 2.4cm. P is a point such that the lenght of the tengent from Q to the circle is 4.5cm. F

skelet666 [1.2K]

Answer:

5.1 cm

Step-by-step explanation:

(Probable) Question;

Given a circle with center O and radius 2.4 cm. P is a point on the tangent that touches the circle at point Q, such that the length of the tangent from P to Q is 4.5 cm. Find the length of OP

The given parameters are;

The radius of the circle with enter at O, $\overline{OQ}$ = 2.4 cm

The length of the tangent from P to the circle at point Q, $\overline{PQ}$ = 4.5 cm

The length of OP = Required

By Pythagoras's theorem, we have;

$\overline{OP}$ ² = $\overline{OQ}$ ² + $\overline{PQ}$ ²

∴ $\overline{OP}$ ² = 2.4² + 4.5² = 26.01

$\overline{OP}$ = √26.01 = 5.1

The length of OP = 5.1 cm

8 0

2 years ago