1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
horrorfan [7]
3 years ago
15

39 percent of all customers who enter a store will make a purchase. Suppose that 6 customers enter the store and that these cust

omers make independent purchase decisions. (1) Use the binomial formula to calculate the probability that exactly five customers make a purchase.
Mathematics
1 answer:
aleksklad [387]3 years ago
3 0

Answer:the probability that exactly five customers make a purchase is 0.033

Step-by-step explanation:

The formula for binomial distribution is expressed as

P(x = r) = nCr × q^(n - r) × p^r

Where

p = probability of success

q= probability of failure

n = number of sample

From the information given,

39 percent of all customers who enter a store will make a purchase. It means that the probability of success, p = 39/100 = 0.39

The probability of failure q, would be 1 - p = 1 - 0.39 = 0.61

n = 6

The probability that exactly five customers make a purchase is expressed as

P(x = 5) = 6C5 × 0.61^(6 - 5) × 0.39^5

P(x = 5) = 6 × 0.61× 0.39^5 = 0.033

You might be interested in
Quadrilateral RSTU is a rectangle with diagonal RT. If rtu 8x + 4 and str = 3x – 2, find x
dolphi86 [110]

Answer:

x=8

Step-by-step explanation:

we know that

If Quadrilateral RSTU is a rectangle

then

The measure of angle STU is a right angle

m∠STU=90°

m∠STU=m∠STR+m∠RTU

so

m∠STR+m∠RTU=90° -----> complementary angles

substitute the given values

(3x-2)+(8x+4)=90°

Solve for x

11x+2=90

11x=90-2

11x=88

x=8

7 0
3 years ago
Please show work on how to do this​
Irina-Kira [14]

Answer:

  • - 2.71

Step-by-step explanation:

  • 2· 4^{v + 4} + 20 = 32
  • 2· 4^{v + 4} = 12
  • 4^{v + 4} = 6
  • (v + 4) log 4 = log 6
  • v + 4 = log 6 / log 4
  • v + 4 = 1.29  (<em>rounded</em>)
  • v = 1.29 - 4
  • v = - 2.71
5 0
3 years ago
4. Calculate the mean of the data set {22, 34, 37, 23, 45, 21, 29, 37}. Round to the nearest tenth.
Simora [160]

Answer:

31.0

Step-by-step explanation:

The mean of a given set of data is the ratio of the sum of the data to the number of units that make up the data set. It is also called the average of the data set.

Given the data set {22, 34, 37, 23, 45, 21, 29, 37}. There are 8 numbers in the set. The total of these numbers

= 22 + 34 + 37 + 23 + 45 + 21 + 29 + 37

= 248

The mean = 248/8

= 31

6 0
3 years ago
You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,
Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

8 0
3 years ago
Quadratic equations 7x^2=49
fenix001 [56]
Hope I was able to help :-)

5 0
3 years ago
Other questions:
  • Juan, who is single, is a self-employed carpenter as well as an employee of Frame It, Inc. His self-employment net income is $33
    7·1 answer
  • Is 1.2 greater less than or equal to 2.1
    13·1 answer
  • What is the least whole number that replaces blank divided by 21 greater than 13
    8·2 answers
  • The equation y = log b^x<br> is equivalent to the exponential form
    14·1 answer
  • What is the equation of the graph below?
    6·2 answers
  • How do you solve the problem 3/4 of 28
    13·2 answers
  • Original gas price 1.25 new gas price one dollar 1.75 find the percent of increase
    5·1 answer
  • Meghan needs to make a recipe that
    9·1 answer
  • HELP ME FAST WILL GIVE BRAINLY
    8·1 answer
  • Y=-4/5x+7 in general form<br> Please answer quickly! ;)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!