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2 years ago

A right triangle has a leg of 5 inches and a hypotenuse of 7 inches. What is the length of the other leg?

Mathematics

2 answers:

Kitty [74]2 years ago

4 0

Thirty fivein length

VladimirAG [237]2 years ago

3 0

Squareroot(7square -5squared)
=4.899

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The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper

4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let the random variable X be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, p = 0.52.

The random variable X follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of X is:

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

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.52}{0.52}\\=0.9231$

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

$P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058$

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0

3 years ago

Solve for h. –2 − 10h = –11h − 20

Delvig [45]

｡☆✼★ ━━━━━━━━━━━━━━ ☾

-2 - 10h = -11h - 20

+ 2

- 10h = -11h - 18

+ 11h

h = -18

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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5 0

3 years ago

Read 2 more answers

Find the value of x in the equation below. 17 = 14 +2

ozzi

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Which expression is equivalent to -7(v - 3)? --7V + 21 21v 21v - 7 -10v

CaHeK987 [17]

Answer:-7v+21

Step-by-step explanation:

You use the distributive property to get your answer and two negatives gives you a positive

5 0

2 years ago

Find the geometric sum 4 + 12 + 36 + . . . + 236,196.

Zolol [24]

The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
236,196*(1/(1 - 1/3)) = 236,196*(3/2)

Without doing any detailed calculation, you know the best answer choice is ...
354,292

_____
There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.

Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292

___
* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)

3 0

3 years ago