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2 years ago

Three sides of a trapezoid have a length of 6. What is the length of the fourth side?

Mathematics

1 answer:

zubka84 [21]2 years ago

6 0

The obvious answer is 6. If three of the lengths are 6, and there are four total sides, then you would need 6 to complete the shape, as it is a square, and a square is a type of trapezoid.

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Two coins are flipped. You win $3 if either two heads or two tails turn up; you lose $4 if a head and a rail turn up. What is th

Lyrx [107]

Answer:

Step-by-step explanation:

It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.

You win 2 ways

H - H
T - T
Probability 1/2

You lose 2 ways.

H - T
T - H
Probability 1/2

Expectation

E = 1/2 * 3 - 1/2 * 4

E = 1.5 - 2

E = -0.5

Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.

4 0

3 years ago

pat needs 14 sticks of pepperoni to make 28 pizzas.How many sticks of pepperoni are needed to make 36 pizzas

Marizza181 [45]

Answer:

18 sticks of pepperoni

Step-by-step explanation:

In order to solve this problem, we have to find out how many pepperoni sticks are needed for just 1 pizza. If it takes 14 sticks to make 28 pizzas, that means it takes only half a stick to make a single pizza.

Now that we have this information, we can multiply 1/2 by 36 to find out how many sticks of pepperoni are needed to make 36 pizzas.

$\frac{1}{2} * 36\\\\\frac{1}{2} * \frac{36}{1} \\ =\\\frac{36}{2} \\ =\\\frac{18}{1}$

Therefore, it takes 18 sticks of pepperoni to make 36 pizzas. I hope this helps! Have a lovely day!! :)

7 0

1 year ago

Most college-bound students take either the SAT(Scholastic Assessment Test) or the ACT (which originally stood for American coll

Jlenok [28]

Answer:

Luis would need to have a SAT score of 574.

Step-by-step explanation:

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.

Nicole's z-score:

ACT scores have a mean of about 21 with a standard deviation of about 5, which means that $\mu = 21, \sigma = 5$

Nicole gets a score of 24, which means that $X = 24$ . Her z-score is:

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

$Z = \frac{24 - 21}{5}$

$Z = 0.6$

What score would Luis have to have on the SAT to have the same standardized score(z-score) as Nicole's standardized score on the ACT?

Luis would have to get a score with a z-score of 0.6, that is, X when Z = 0.6.

SAT scores have a mean of about 508 with a standard deviation of about 110, which means that $\mu = 508, \sigma = 110$ .

The score is:

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

$0.6 = \frac{X - 508}{110}$

$X - 508 = 0.6*110$

$X = 574$

Luis would need to have a SAT score of 574.

8 0

2 years ago

Terrence says pi is a rational number since it is the ratio of a circle’s circumference to its diameter. Why is Terrence incorre

QveST [7]

Terrence is not correct.

Terrence is not correct because pi is an irrational number, and it goes on forever with no actual sequence.

4 0

2 years ago

Which rectangular shape should the class select for their arts and crafts?12

Marta_Voda [28]

Answer:

Step-by-step explanation:

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3 0

2 years ago