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3 years ago

Use a special right triangle to express sin 45 degrees as a fraction

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

in a right angled triangle angles given are 45,90

Then third angle is also 45 °

as two angles are 45° each.

Then sides are also equal.

Let the equal sides be each =x

then hypotenuse=√(x²+x²)=√(2x²)=x√2

sin 45°=x/(x√2)=1/√2

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Students on a field trip at an amusement park were asked their grade in school. The table shows the results of the survey.

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3 years ago

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Two sides of a triangle measure 25cm and 35cm. which of the following could be the measure of the 3rd side

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11 cm? Im not that good at this.. If im correct any of those would work

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3 years ago

Thirty percent of all customers who enter a department store will make a purchase. Suppose that 6 customers enter the store and

torisob [31]

Answer:

Step-by-step explanation:

Let's use binomial distribution, because we are interested in find the total number of successes in a sequence of n independent experiments.

In probability, a binomial distribution is used in a Bernoulli process. That is, a sequence of experiments of n independent trials, each asking a dichotomous question, that means it only has two answers. One answer is a success (probability: p) and the other is a failure (probability: 1-p). In this case, every customer who enters in the store is the experiment. If they make a purchase is a success event, taking into account that every purchase decision has to be independent.

$P(X=x) = C(n,x)p^{x} (1-p)^{n-x}$

x= total number of success

n= total number of experiments

p=probability of success on an indivual trial

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

a) x= 5 ------> customers that make a purchase

n= 6 ------> total customers

p=0.3

$p(X=5)= C(6,5)(0.3)^{5} (1-0.3)^{6-5} \\p(X=5)=0.102$

b) At least 3 customers make a purchase. x ≥ 3

$P(X\geq 3)=1-P (X=0)-P(X=1)-P(X=2)\\P(X\geq 3)=1-(C(6,0)(0.3^{0})(0.7)^{6}) - (C(6,1)(0.3^{1})(0.7)^{5}) - (C(6,2)(0.3^{2})(0.7)^{4})\\ P(X\geq 3) = 1-0.11765-0.30253-0.32414\\P(X\geq3)= 0.2557$

c) At most 2 customers make a purchase. x ≤ 2

$P(X\leq2) = P(X=0) + P(X=1) + P(X=2)\\P(X\leq2) = (C(6,0)(0.3^{0})(0.7)^{6}) + (C(6,1)(0.3^{1})(0.7)^{5}) + (C(6,2)(0.3^{2})(0.7)^{4})\\P(X\leq2) = 0.11765-0.30253-0.32414\\P(X\leq2)=0.7443$

d)At least 1 customer makes a purchase. x ≥ 1

$P(X\geq 1)=1-P(X=0)\\P(X\geq 1)= 1-C(0,6)(0.3)^{0}(0.7)^{6} \\P(X\geq 1)= 1-0.11765 = 0.8824$

e)They must be kind to customers, always willing to help and give information about products clearly and honestly.

Have enough inventory and offer promotions for the purchase of more than one product

Have an agile payment system that avoids rows and delays in purchases.

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4 years ago

Find 2 numbers, if their sum is -11 and their difference is 41

frosja888 [35]

Answer:

15, -26

Step-by-step explanation:

The <em>generic solution</em> to a "sum and difference" problem can be found easily. Let "a" and "b" represent the numbers you seek, and let "s" and "d" represent their sum and difference:

a + b = s

a - b = d

Adding these two equations tells you ...

2a = s + d

a = (s + d)/2 . . . . . . divide by the coefficient of a

You can find "b" several different ways. One way is to subtract the second equation from the first:

2b = s - d

b = (s - d)/2 . . . . . . divide by the coefficient of b

So, the second number can be found from any of ...

b = s - a
b = a - d
b = (s - d)/2

____

For the numbers given here, s=-11, d=41, the two numbers are ...

a = (-11 +41)/2 = 15

b = -11 -15 = -26

The two numbers are 15 and -26.

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