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aleksklad [387]

2 years ago

15

You roll a six-sided number cube and flip a coin. What is the probability of rolling a number greater than 3 and flipping heads?

Write your answer as a fraction in simplest form.

1 answer:

alekssr [168]2 years ago

3 0

(4,h)
(5,h)
(6,h) N(s)=6*2=12 n(a)=3 p(a)=0.25

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Please help me it would mean the world. Extra points!

vaieri [72.5K]

Answer:

i inserted image for your work

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3 0

2 years ago

Complete the rational operation <br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7Bx%20-%205%7D%20%20-%20%20%5Cfrac%7Bx%7

prisoha [69]

We have
                             3 / (x-5) - x/5
We make the GCF and we have
                                    15/[ 5(x-5) ] - x(x-5)/[ 5(x-5)]
                                  = [ 15 - x(x-5) ] [5(x-5)]
                                  = [ 15 - x^2 + 5x] / [ 5 (x-5) ]
                                  = [15 - x^2 + 5x]/[5x - 25]
An answer to your question is (15-x^2+5x)/(5x-25)

6 0

3 years ago

Scores on a final exam taken by 1200 students have a bell shaped distribution with mean=72 and standard deviation=9

SVETLANKA909090 [29]

Answer:

a. 72

b. 816

c. 570

d. 30

Step-by-step explanation:

Given the graph is a bell - shaped curve. So, we understand that this is a normal distribution and that the bell - shaped curve is a symmetric curve.

Please refer the figure for a better understanding.

a. In a normal distribution, Mean = Median = Mode

Therefore, Median = Mean = 72

b. We have to know that 68% of the values are within the first standard deviation of the mean.

i.e., 68% values are between Mean $\pm$ Standard Deviation (SD).

Scores between 63 and 81 :

Note that 72 - 9 = 63 and

72 + 9 = 81

This implies scores between 63 and 81 constitute 68% of the values, 34% each, since the curve is symmetric.

Now, Scores between 63 and 81 = $\frac{68}{100} \times 1200$

= 68 X 12 = 816.

That means 816 students have scored between 63 and 81.

c. We have to know that 95% of the values lie between second Standard Deviation of the mean.

i.e., 95% values are between Mean $\pm$ 2(SD).

Note that 90 = 72 + 2(9) = 72 + 18

Also, 54 = 63 - 18.

Scores between 54 and 90 totally constitute 95% of the values. So, Scores between 72 and 90 should amount to $\frac{95}{2} \%$ of the values.

Therefore, Scores between 72 and 90 = $\frac{95}{2(100)} \times 1200 = \frac{95}{200} \times 1200$

$\implies 95 \times 12$ = 570.

That is a total of 570 students scored between 72 and 90.

d. We have to know that 5 % of the values lie on the thirst standard Deviation of the mean.

In this case, 5 % of the values lie between below 54 and above 90.

Since, we are asked to find scores below 54. It should be 2.5% of the values.

So, Scores below 54 = $\frac{2.5}{100} \times 1200$

= 2.5 X 12 = 30.

That is, 30 students have scored below 54.

8 0

2 years ago

Ray PT is the angle bisector of angle RPS. Find the measure of angle RPS.

nikdorinn [45]

Answer:

m∠RPS = 38°.

Step-by-step explanation:

It is given that ray PT is the angle bisector of angle RPS. It means PT divides the angle RPS in two equal parts.

$m\angle RPT=m\angle TPS=19^{\circ}$

Now, it is clear that

$m\angle RPS=m\angle RPT+m\angle TPS$

$m\angle RPS=19^{\circ}+19^{\circ}$

$m\angle RPS=38^{\circ}$

Therefore, the measure of angle RPS is 38°.

3 0

3 years ago

Solve for w 3w-3+4=1-5w

defon

The answer to your question is 0.

6 0

2 years ago