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
Neporo4naja [7]
3 years ago
5

A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0.5, P(sugar) = 0.6, and

P(cream or sugar) = 0.7. Determine the P(cream and sugar).
Mathematics
2 answers:
luda_lava [24]3 years ago
6 0
\mathbb P(\text{cream or sugar})=\mathbb P(\text{cream})+\mathbb P(\text{sugar})-\mathbb P(\text{cream and sugar})
0.7=0.5+0.6-\mathbb P(\text{cream and sugar})
\mathbb P(\text{cream and sugar})=0.4
Bess [88]3 years ago
5 0

Answer: P( Cream and Sugar) = 0.4

Step-by-step explanation:

Since we have given that

P(Cream)=0.5

P(Sugar)=0.6

P(Cream or Sugar)=0.7

As we know the " Probability Rules" so, we get,

P(Cream\ and\ Sugar)=P(Cream)+P(Sugar)-P(Cream\ or\ Sugar)\\\\P(C\cap S)=P(C)+P(S)-P(C\cup S)\\\\P(C\cap S)=0.5+0.6-0.7\\\\P(C\cap S)=1.1-0.7\\\\P(C\cap S)=0.4

So, P( Cream and Sugar) = 0.4

You might be interested in
Heather, Deon, and Ali served a total of 106 orders. Deon served 4 times as many as Ali. Heather served 10 more orders then Ali.
Sergeeva-Olga [200]

Answer:

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.

Step-by-step explanation:

Let order served by

Heather be h

Deon be d

Ali be a

We can write 3 equations from the word problem:

h + d + a = 106

d = 4a

h = 10 + a

We put 2nd and 3rd equation in first and solve for a:

h + d + a = 106

10 + a + 4a + a = 106

6a = 96

a = 16

Now,

d = 4a = 4(16) = 64

and

h = 10 + a = 10 + 16 = 26

Ali served 16 orders, Deon served 64 orders, Heather served 26 orders.

4 0
3 years ago
$18, P = $200, r = ?, t = 1.5 years. Find the annual interest rate.
faust18 [17]

                                                  Question 1)

Given

Interest I = $18

Principle P = $200

t = 1.5 years

To determine

Interest rate r = ?

Using the formula

P = Irt

r=\frac{I}{Pt}

susbtituting I = 18, t = 1.5 and P = 200

r=\frac{18}{\left(200\times 1.5\right)}

r = 0.06

or

r = 6%       ∵ 0.06 × 100 = 6%

Therefore, we conclude that the interest rate required to  accumulate simple interest of $18.00  from a principal of $200 over 1.5 years is 6% per year.

                                                    Question 2)

Given

Interest I = $60

Principle P = $750

Interest rate = 4% = 0.04

To determine

Time period t = ?

Using the formula to calculate the time period

P = Irt

t\:=\:\frac{P}{Ir}

t=\frac{60}{\left(750\times 0.04\right)}

t = 2 years

Therefore, the time required to  accumulate simple interest of $ 60.00

from a principal of $ 750 at an interest rate of 4% per year  is 2 years.

7 0
3 years ago
In a Create of 30 eggs<br>only 60 % is good how many<br>are bad?<br><br>​
andrew11 [14]

Answer:

In my point of view 40% are bad

5 0
3 years ago
Evaluate the expression below at x = 5. x/35 + 5x^2
kramer

Answer:

876/7

Step-by-step explanation:

Just plug the number 5 into the equation and solve. Remember your Order of Operations (PEMDAS).

4 0
2 years ago
Matt Bought 10 shirts for a total of $190. Fancy shirts cost $23 and a plain shirts cost $15. How many of each type of shirt did
mixas84 [53]
17 disks
D
D
D
F
Fr
Sjsjdidd
D
D
at
H
I
T
W
6 0
3 years ago
Read 2 more answers
Other questions:
  • True or False: You can draw a quadrilateral with no parallel lines and at least one right angle.
    9·1 answer
  • A number x plus 10 is more than 2
    10·1 answer
  • A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $28. The total cost to re
    12·1 answer
  • Use the given information and the figures below to find m Given: BCDE = WPHY<br><br> A: 225<br> B: 135<br> C: 180<br> D: 200<br>
    11·1 answer
  • Question
    9·1 answer
  • How do you write y - 5= 3(x - 4) in slope-intercept form?
    12·2 answers
  • What value(s) of x will make x2 = 16 true?<br> O A. 4 and -4<br> O B. 2<br> O C. 6 and -6<br> O D. 4
    14·1 answer
  • What is the answer no link I will report and banned you
    9·1 answer
  • Brainnnnnnnnnnnnnnnnnnnnnnnnnnn
    5·1 answer
  • Help me please I need help
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!