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4 years ago

Can a triangle have sides with the given lengths? Explain.

1 answer:

Nookie1986 [14]4 years ago

4 0

No because when you add any 2 sides the answer has to be bigger than the 3rd side

ex: 2+7=9
9 is too small, so the tips of the side that is 2ft would not touch the side that is 7ft

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Park officials make predictions of times to the next eruption of a particular geyser, and collect data for the errors (minutes

nalin [4]

Answer:

a) Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

b) t =-7.44

c) $p_v = 2*P(t_{98}$

d) Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the $p_v$ . So we can conclude that the difference is significantly different from 0 at 5% of significance.

Step-by-step explanation:

Assuming this output:

$t_{difference}=-0.395$

t(observed value) =-7.44

t(Critical value )= 1.984

DF = 98

p value (two tailed) < 0.0001

$\alpha =0.05$

a) What are the null and alternative hypothesis

Null hypothesis: $\mu =0$

Alternative hypothesis: $\mu \neq 0$

The reason is because the output says a bilateral test so for this case w eselect this option.

b) Identify the statistic

The correct formula for the statistic is given by:

$t=\frac{\bar X_1 -\bar X_2 -0}{\sqrt{(\frac{s^2_1}{n_1}+\frac{s^2_2}{n_2})}}$

Based on the output the calculated value its t =-7.44

c) Identify the p value

We have the degrees of freedom given 98

Based on the alternative hypothesis the p value is given by:

$p_v = 2*P(t_{98}$

d) State the final conclusion that addresses the original claim

Reject Null hypothesis. The is enough evidence to conclude that the mean prediction error is not equal to 0.

We reject the null hypothesis because the $p_v$ . So we can conclude that the difference is significantly different from 0 at 5% of significance.

4 0

3 years ago

Whats the number

Harman [31]

Cube i think sorry if its wrong

4 0

3 years ago

What is solve for A K=Ap/8

NISA [10]

K=AP/8
8k=AP
8k/P=A

...............

6 0

3 years ago

A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,

zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0

4 years ago

A line is parallel to y= 1/2x +6 and passes through (–8, 0). What is the equation of the line?

Harlamova29_29 [7]

Answer:

y = 1/2x + 4

Step-by-step explanation:

y = 1/2x + b

0 = -4 + b

b = 4

y = 1/2x + 4

7 0

3 years ago

Read 2 more answers

Can a triangle have sides with the given​ lengths? Explain.

Can a triangle have sides with the given lengths? Explain.