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2 years ago

The probability assigned to each experimental outcome must be

Mathematics

1 answer:

Eva8 [605]2 years ago

7 0

Answer:

Between 0 and 1

Step-by-step explanation:

The probability for each outcome in experimental probability must be a value between 0 and 1. A probability of 0 means the event did not happen; the probability of 1 means it is certain. We cannot have probabilities smaller than 0 or greater than 1.

All of the probabilities in an experiment must sum to 1 whole.

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What is the distance between the following points?

timama [110]

Answer:

D. d = $\sqrt{58}$

Step-by-step explanation:

Use the distance formula: d = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }$

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = $\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }$

Simplify

d = $\sqrt{(-3)^{2}+ (-7)^{2} }$

d = $\sqrt{9+ 49 }$

d = $\sqrt{58}$

I hope this helps :))

5 0

2 years ago

How many triples of the 3 positive integers (x,y,z) are products of 24

GalinKa [24]

8,8,8 would be the answer

3 0

2 years ago

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

Read 2 more answers

There are 5 cards with a picture of a rose and 1 card with a picture of a daisy. Olga keeps all the cards face down on the table

HACTEHA [7]

The correct answer is 4 over 5

4 0

2 years ago

The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran

Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

$p = 0.16, n = 100$

$s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367$

The standard error of the proportion is 0.0367.

4 0

2 years ago