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3 years ago

Mariah is playing a simple game of dice. For every 1, 4, or 6 rolled, Mariah will

Mathematics

1 answer:

Verdich [7]3 years ago

3 0

Answer:

Correct option: B -> win $1

Step-by-step explanation:

Mariah will win for the values of 1, 4 or 6.

These are 3 out of 6 possible values of the die, so the probability of winning is 3/6 = 50%, and the probability of losing is 100% - 50% = 50%

The expected value for winning cases is the value times the probability, so:

E(win) = 4 * 0.5 = 2

The expected value for losing cases is:

E(lose) = -2 * 0.5 = -1

So the final expected money is:

E(total) = E(win) + E(lose) = 2 - 1 = 1

So she can expect to win $1

Correct option: B

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Which of the following is a geometric sequence?

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Step-by-step explanation:

Geometric sequence has to do with a pattern of multiplication, and D has a pattern of times 4 if that makes any sense

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3 years ago

Chris has $170.00. Candies cost $8.50 each. How many candies can Chris buy? $ Blank

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3 years ago

Simplify: ly - 2x - 3y + 4x

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2 years ago

Read 2 more answers

My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.

Verdich [7]

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

PCS is a right triangle
PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the measures of the corresponding sides must be the same.

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

8 0

2 years ago

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells.

Sergio039 [100]

Answer:

This mileage interval is from 30120 miles and higher.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

All he knows is that, for a large number of tires tested, the mean mileage was 25,000 miles, and the standard deviation was 4000 miles. This means that $\mu = 25000, \sigma = 4000$ .

A manufacturer of tires wants to advertise a mileage interval that ex-cludes no more than 10% of the mileage on tires he sells. What interval wouldyou suggest?

The lower end of this interval is X when Z has a pvalue of 0.90. That is $Z = 1.28$ .

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

$1.28 = \frac{X - 25000}{4000}$

$X - 25000 = 4000*1.28$

$X = 30120$

This mileage interval is from 30120 miles and higher.

7 0

2 years ago