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tensa zangetsu [6.8K]
3 years ago
10

In an isosceles triangle the measure of the angle formed by the two congruent sides is 80 degrees. What is the measure of each b

ase angle?
Mathematics
1 answer:
sveta [45]3 years ago
6 0
Each base angle would be 50 degrees because in an isosceles triangle the base angles have to be the same. Also in any triangle the angles have to add to 180 degrees.
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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.

6 0
3 years ago
Which ordered pair is a solution to the system?
babymother [125]

all you have to do is see whether both variables of each point meet both contraints:

for a) 1<3 and 2>1 is true so a is a solution to the system

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A racing bicycle with a cash price of 900 at at 90 down down and 40.50 per month for 24 months ​
Sav [38]

Answer:

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Step-by-step explanation:

90+40.50x               x=24 months

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Y varies directly as x, y = 15<br> when x = 5. Find y when x=<br> 6
Alona [7]

Answer:

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Step-by-step explanation:

y=k×x

15=k×5

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when x=6,

y=3×6

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What is true about the completly simplified difference of the polynomials
Ivan

Answer: the difference has 4 terms and a degree is 6.

Step-by-step explanation

3 0
3 years ago
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