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3 years ago

In ΔDEF, the measure of ∠F=90°, DF = 24, FE = 7, and ED = 25. What ratio represents the sine of ∠E?

Mathematics

1 answer:

kumpel [21]3 years ago

4 0

Answer:

24/25

Step-by-step explanation:

In this triangle DF and FE are legs (because they form the right angle) , ED is the hypotenuse (it is the largest side, it is opposite to the right angle).

son of E is the ratio of the leg opposite to the angle E (DF) to the hypotenuse

it is 24/25

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Zachary purchased a computer for 1800 on a payment plan. three months after he purchased the computer, his balance was 1350. fiv

nadezda [96]

(750m) - 1050 = b

1800 - 1050 = 750 dollars lost.

So (750m) - 1050 = b will give you the balance.

6 0

4 years ago

Find the area of a triangle with a base of 10 inches and a height of 5 inches

Semmy [17]

Answer:

area = 25 in^2

Step-by-step explanation:

area = 1/2(10)(5) = 25 in^2

5 0

3 years ago

Read 2 more answers

As an estimation we are told £3 is €4.

NeX [460]

Answer:

25.60 €.

Step-by-step explanation:

£3 is €4

So £1 is €4/3

and £19.29 = 19.20 * 4/3

= 25.60 €

6 0

2 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.

6 0

3 years ago

Find the area of the given figure and please put all the steps you made as well

mylen [45]

Answer:

B. 196.5

Step-by-step explanation:

First lets fine the semi circle's area.

The area of an circle is πr², so in order to find half of a circle, simply divide the answer by 2.

The diameter of the circle is 16, and the radius is half of 16, and which the radius will be 8. Now simply plug in 8 into the formula, and substitute π with 3.14

(3.14)(8)²=200.96 and half of that is 100.48

The area of the semi-circle is 100.48, and now it's time to find the area of the triangle.

The formula for area of an triangle is A=1/2bh

We can see that the base is 16 and height is 12, and now plug it in.

A=1/2(16)(12)= 96.

The area of the triangle is 96 and the area of the semi-circle is 100.48, when they are added, it is 196.48. When it is rounded, the answer is 196.5. And so the answer is B.

3 0

3 years ago