Ask question

Ask question

All categories

3 years ago

8

I need help on the top one 25 pts

1 answer:

svet-max [94.6K]3 years ago

8 0

The answer to the question

You might be interested in

A university knows from historical data that 25% of students in an introductory statistics class withdraw before completing the

Vikki [24]

Answer:

13.4%

Step-by-step explanation:

Use binomial probability:

P = nCr p^r q^(n-r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1-p).

Here, n = 16, r = 2, p = 0.25, and q = 0.75.

P = ₁₆C₂ (0.25)² (0.75)¹⁶⁻²

P = 120 (0.25)² (0.75)¹⁴

P = 0.134

There is a 13.4% probability that exactly 2 students will withdraw.

8 0

3 years ago

20. Three cards are selected form a standard deck of cards and not

frozen [14]

We have a probability of $\frac{13}{52}=\frac{1}{4}$ for the first card to be a diamond. Having drawn this first card <em>without replacement,</em> there are now 12 diamonds remaining in a deck of 51 cards, so the probability that the second card is a diamond, given that the first card was a diamond, is $\frac{12}{51}=\frac{4}{17}.$ Similarly, for the third card, there are 11 diamonds in a deck of 50, so the probability of drawing a third diamond is $\frac{11}{50}.$ Now, since these events are dependent, we multiply these three probabilities to get our answer of $\frac{11}{850}.$

6 0

3 years ago

Which two triangles are similar?

Alla [95]

Answer:

A and C are similar

Step-by-step explanation:

The sum of a triangles angles = 180

If you calculate the remaining angles, you will see that both A and C have the same angles and therefore are similar.

6 0

2 years ago

Read 2 more answers

90 divided by 0.2 =<br> A<br> 1.8<br> B<br> 4.5<br> с<br> 180<br> D<br> 450

elixir [45]

Answer: 450

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Consider the differential equation x2y′′ − 9xy′ + 24y = 0; x4, x6, (0, [infinity]). Verify that the given functions form a funda

pantera1 [17]

Answer:

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

Step-by-step explanation:

Given equation is

$x^2y'' - 9xy+24y=0$

This Euler Cauchy type differential equation.

So, we can let

$y=x^m$

Differentiate with respect to x

$y'= mx^{m-1}$

Again differentiate with respect to x

$y''= m(m-1)x^{m-2}$

Putting the value of y, y' and y'' in the differential equation

$x^2m(m-1) x^{m-2} - 9 x m x^{m-1}+24x^m=0$

$\Rightarrow m(m-1)x^m-9mx^m+24x^m=0$

$\Rightarrow m^2-m-9m+24=0$

⇒m²-10m +24=0

⇒m²-6m -4m+24=0

⇒m(m-6)-4(m-6)=0

⇒(m-6)(m-4)=0

⇒m = 6,4

Therefore the auxiliary equation has two distinct and unequal root.

The general solution of this equation is

$y_1(x)=x^4$

and

$y_2(x)=x^6$

First we compute the Wronskian

$W(x)= \left|\begin{array}{cc}y_1(x)&y_2(x)\\y'_1(x)&y'_2(x)\end{array}\right|$

$= \left|\begin{array}{cc}x^4&x^6\\4x^3&6x^5\end{array}\right|$

=x⁴×6x⁵- x⁶×4x³

=6x⁹-4x⁹

=2x⁹

≠0

The functions satisfy the differential equation and linearly independent since W(x)≠0

Therefore the general solution is

$y= c_1x^4+c_2x^6$

5 0

3 years ago