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weqwewe [10]
3 years ago
11

What is the length of the hypotenuse of a right triangle if each of the two legs is 2 units?

Mathematics
2 answers:
kow [346]3 years ago
5 0

Answer:

2 sqrt 2

Step-by-step explanation:

alekssr [168]3 years ago
3 0

Answer:

4

Step-by-step explanation:

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A dance studio teaches students a contemporary dance form. It is observed that the probability of students from this studio beco
Helen [10]
\mathbb P(X=75)=\dbinom{120}{75}0.69^{75}(1-0.69)^{120-75}\approx0.0239

or about a 2.4% chance.
5 0
3 years ago
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A pizza place has pizzas in 2 different sizes, with 8 different flavors for the crust, and 8 different toppings.
mamaluj [8]

Use multiplication:

2\text{ sizes}*8\text{ flavors}*8\text{ toppings}=\large\boxed{128\text{ pizzas}}

This question is basically the same as the other question of yours that I answered, so the explanation is very similar:

You can imagine the possibilities as leaves on a tree. Your tree has 2 large branches to represent the two possible sizes. Each of those branch off into 8 smaller branches, each representing a crust flavor. Each one of the smaller branches has 8 leaves to represent a different topping. Each leaf is a combination of a size, a crust flavor, and a topping, so it represents a complete pizza. Your job is to calculate the number of leaves.

5 0
2 years ago
It would take Delia 3 hours longer to re tile their bathroom by herself than it would for kari to retile on her own. If they wor
max2010maxim [7]

Answer:

6hours

Step-by-step explanation:

From the given information:

Suppose it took Karl x hours to retile her bathroom,

Then it will take Della 3 hours longer i.e (3+x) hours

If Della and Karl work together or will take them 2 hours

The objective is to determine how long it will take Delia to retile the bathroom alone?

∴

\dfrac{1}{x}+\dfrac{1}{3+x}= \dfrac{1}{2}

\dfrac{x+3+x}{x(3+x)}= \dfrac{1}{2}

\dfrac{2x+3}{3x+x^2}= \dfrac{1}{2}

By cross multiplying, we have:

2(2x+3) = 3x+x²

4x + 6 = 3x + x²

3x + x² - 4x - 6

x² - x - 6 = 0

Using quadratic equation

x² -3x +2x - 6 = 0

x(x - 3) + 2(x - 3) = 0

(x +2) (x - 3) = 0

x + 2 = 0 or x - 3 = 0

x = -2 or x = 3

Since we are concerned about the positive integer,

Then, Karl = x = 3 hours while Della which is (3+x) = 3+3 = 6hours

6 0
3 years ago
A professor at a university wants to estimate the average number of hours of sleep the students get during exam week. The profes
balandron [24]

Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>  n = [\frac{2.58  *  2.539  }{4.266} ] ^2

=>  n = 2

6 0
3 years ago
On each of five slips of paper, you wrote the words eggs, waffles, pancakes, fruit, and muffin. Every day, you choose one slip f
Luda [366]
The answer is 1/5, or 0.2, because if you're always putting the slip back in, then there will always by 5 slips to choose from, therefore making the probability 1 out of 5. I hope this helps!
6 0
3 years ago
Read 2 more answers
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