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Nadusha1986 [10]
2 years ago
14

Please help 22 points

Mathematics
2 answers:
Alexxx [7]2 years ago
5 0
783939382 you should get photo math
asambeis [7]2 years ago
3 0
3639.08711

I would recommend you getting photo-math, math-way, or the best one i found was Guathmath
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Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be t
LiRa [457]

Answer:

(a)$67

(b)You are expected to win 56 Times

(c)You are expected to lose 44 Times

Step-by-step explanation:

The sample space for the event of rolling two dice is presented below

(1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Total number of outcomes =36

The event of rolling a 5 or a 6 are:

(5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)

Number of outcomes =20

Therefore:

P(rolling a 5 or a 6)  =\dfrac{20}{36}

The probability distribution of this event is given as follows.

\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|

First, we determine the expected Value of this event.

Expected Value

=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67

Therefore, if the game is played 100 times,

Expected Profit =$0.67 X 100 =$67

If you play the game 100 times, you can expect to win $67.

(b)

Probability of Winning  =\dfrac{20}{36}

If the game is played 100 times

Number of times expected to win

=\dfrac{20}{36} \times 100\\=56$ times

Therefore, number of times expected to loose

= 100-56

=44 times

8 0
3 years ago
What are the values of X and why
daser333 [38]
<h2>#1 as in first answer</h2><h2></h2>

8 0
3 years ago
The value of y varies inversely with x. what is the value of k when y=12.7 and x=8?
NISA [10]

Answer:

ccccc

Step-by-step explanation:

5 0
3 years ago
For the triangles to be congruent by hl, what must be the value of x? 8 9 17 34
lora16 [44]

Using equations we know that the value of x needs to be (E) 4 to make HL congruent to AC.

<h3>What are equations?</h3>

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, HL is a hypotenuse that will be congruent to the hypotenuse AC.

We know that HL is 3x + 3.

Ac is 15.

Then the equation will be:

3x + 3 = 15

Now, solve the equation to get x as follows:

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3

x = 4

Therefore, the value of x needs to be (E) 4 to make HL congruent to AC.

Know more about equations here:

brainly.com/question/28937794

#SPJ4

Correct question:
For the triangles to be congruent by hl, what must be the value of x?

a. 8

b. 9

c. 17

d. 3

e. 4

8 0
1 year ago
(1 point)
fenix001 [56]

Answer:

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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.

Mean 790 and standard deviation 92.

This means that \mu = 790, \sigma = 92

Samples of 98

This means that n = 98, s = \frac{92}{\sqrt{98}}

What is the probability that the mean number of eggs laid would differ from 790 by less than 30?

This is the pvalue of Z when X = 790 + 30 = 820 subtracted by the pvalue of Z when X = 790 - 30 = 760. So

X = 820

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{820 - 790}{\frac{92}{\sqrt{98}}}

Z = 3.23

Z = 3.23 has a pvalue of 0.9994

X = 760

Z = \frac{X - \mu}{s}

Z = \frac{760 - 790}{\frac{92}{\sqrt{98}}}

Z = -3.23

Z = -3.23 has a pvalue of 0.0006

0.9994 - 0.0006 = 0.9988

0.9988 = 99.88% probability that the mean number of eggs laid would differ from 790 by less than 30.

8 0
2 years ago
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