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AleksandrR [38]
3 years ago
7

Can you help me with this question in geometry?

Mathematics
1 answer:
Svetllana [295]3 years ago
8 0
I believe this just uses the Pythagorean Theorem. A^2+B^2=C^2. So:
15^2+B^2=25^2. Simplified this is,
225+B^2=625
625-225=400
B^2=400
√ B=<span>√ 400
</span>B=20
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Solve the equation.<br> -7= z/3
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What subsets of numbers does 8 2/3 belong to?
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By simplifying the number given which is 8 2/3, we get an improper fraction of 26/3. Also, when we try to divide 26 by 3, we get an answer of 8.6667, with 6 as a repeating number after the decimal place. Therefore, this number is an example of real and rational number. Thus the answer is the second choice. 
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3 years ago
For each of the following binomial random variables, specify n and p. (a) A fair die is rolled 50 times. X = number of times a 5
Keith_Richards [23]

Answer:

a) n = 50, p = \frac{1}{6}

b) n = 16, p = \frac{1}{100}

c) n = 26, p = 0.25, \mu = 6.5

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

(a) A fair die is rolled 50 times. X = number of times a 5 is rolled

The die is rolled 50 times, so n = 50.

Each roll can have 6 outcomes. So the probability that 5 is rolled is p = \frac{1}{6}

(b) A company puts a game card in each box of cereal and 1/100 of them are winners. You buy sixteen boxes of cereal, and X = number of times you win.

You buy 16 boxes of cereal, so n = 16.

1 of 100 are winners. So p = \frac{1}{100}.

(c) Jack likes to play computer solitaire and wins about 25% of the time. X = number of games he wins out of his next 26 games.

He plays 26 games, so n = 26.

He wins 25% of the time, so p = 0.25

We have that \mu = np. So \mu = 26*0.25 = 6.5

6 0
3 years ago
Alang went to the store to buy some walnuts. The price per pound of the walnuts is $7 per pound and he has a coupon for $2.50 of
MA_775_DIABLO [31]

Answer:

$11.50 is the cost for 2 pounds of walnuts

Expression: 7p - 2.50

Step-by-step explanation:

First, create an expression to represent the cost:

7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off

So, the expression is 7p - 2.50

Use this expression to find the price for 2 pounds of walnuts:

7p - 2.50

7(2) - 2.50

14 - 2.50

= 11.50

So, the cost with the coupon will be $11.50

3 0
2 years ago
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