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3 years ago

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A 6-sided number cube is rolled 120 times and 4 is rolled 23 times. Based on the data, what is the best estimate of the probabil

ity that the next roll will be a 4?
A. 1/6
B. 1/3
C. 1/4
D. 1/2

1 answer:

Crank3 years ago

4 0

Answer: A

Explaination: I’ll try my best, let’s round 23 to 20. If we divide 120 by 20, we will get six. 1/6.

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Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What perce

Alla [95]

Answer:

The percentage is $P(350 < X 650 ) = 86.6\%$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 500$

The standard deviation is $\sigma = 100$

The percent of people who write this exam obtain scores between 350 and 650

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

Generally

$\frac{X - \mu }{\sigma } = Z (The \ standardized \ value \ of \ X )$

$P(350 < X 650 ) = P(\frac{ 350 - 500}{ 100}$

$P(350 < X 650 ) = P(-1.5$

$P(350 < X 650 ) = P(Z < 1.5) - P(Z < -1.5)$

From the z-table $P(Z < -1.5 ) = 0.066807$

and $P(Z < 1.5 ) = 0.93319$

=> $P(350 < X 650 ) = 0.93319 - 0.066807$

=> $P(350 < X 650 ) = 0.866$

Therefore the percentage is $P(350 < X 650 ) = 86.6\%$

3 0

3 years ago

Find the total cost of 5 bales of hay at $2.75 per bale and 2 bags of potatoes at $2.90 per bag.

Elan Coil [88]

Answer: $19.55

Step-by-step explanation:

2.75 * 5 = 13.75.
2.90 * 2 = 5.80
13.75 + 5.80 = 19.55

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4 years ago

Simplify this expression<br> 5*sqrt(x^22) where x<0

Doss [256]

Answer:

$\boxed{5x^{11}, x < 0}$

Step-by-step explanation:

$5\sqrt{x^{22}}$

Remember that we evaluate the term under the radical first.

Even though x < 0, x²² > 0

So,

$5\sqrt{x^{22}} = 5x^{11}$

The simplified expression is

$\boxed{5x^{11}, x < 0}$

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4 years ago

How do you solve this problem, it's confusing for me.

tatyana61 [14]

If 28 is the distance that he is from the starting point then
so 10 to the right
+10
then 3 to the left
-3powerjump
10-3pj
total jump length must be to the left because 10 is less than 28 and he can't jump negative feet
absolute value
|10-3p|=28
since we assume that he jumped 28 feet to the left, we can assuume
10-3p=-28
subtract 10 from both sides
-3p=-38
divide by -3
powerjump=12 2/3

or if the problem is he jumped 28 feet in total then
10+3p=28
subtract 10 from both sdies
3p=18
divie by 3
powerjump=6

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3 years ago

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What is the quotient?<br> 5-6/53

madreJ [45]

Answer:

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Step-by-step explanation:

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4 years ago