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
jeka94
3 years ago
7

Maxwell House Coffee contains 13% Columbian coffee beans by volume while

Mathematics
1 answer:
user100 [1]3 years ago
4 0

<em>x</em> kg of Maxwell House coffee contains 0.13<em>x</em> kg of Columbian beans.

<em>y</em> kg of Folgers contains 0.21<em>y</em> kg of beans.

You want a mixture weighing 70 kg, so

<em>x</em> + <em>y</em> = 70

You also want this blend to consist of 19% Columbian beans, or 0.19 (70 kg) = 13.3 kg, so

0.13<em>x</em> + 0.21<em>y</em> = 13.3

Solve for <em>x</em> and <em>y</em> :

<em>x</em> + <em>y</em> = 70   ===>   <em>y</em> = 70 - <em>x</em>

0.13<em>x</em> + 0.21<em>y</em> = 13.3   ===>   0.13<em>x</em> + 0.21 (70 - <em>x</em>) = 13.3

0.13<em>x</em> + 14.7 - 0.21<em>x</em> = 13.3

14.7 - 13.3 = 0.21<em>x</em> - 0.13<em>x</em>

1.4 = 0.08<em>x</em>

<em>x</em> = 17.5

<em>y</em> = 52.5

You might be interested in
Find the slope of the line through (–9, –10) and (–2, –5). A. –five-sevenths B. seven-fifths C. five-sevenths D. –negative seven
vredina [299]

Answer:

C 5/7

Step-by-step explanation:

We can find the slope of a line using

m = (y2-y1)/(x2-x1)

   = (-5 - -10) /(-2 - -9)

   = (-5 +10)/(-2+9)

   5/7

8 0
3 years ago
The probability of rain =0.2, sun=0.3,cloud=0.5. What is the probability of rain and sun over a two day period?
svp [43]

Answer:

0.2752512

Step-by-step explanation:

The formula you are looking for is the binomial probability:

               

                n!

P (X) = ------------    * (P)^X  * (q)^n - X

           (n- X)! X!    

For your particular problem:

n=7

X=2

 

q = 1-p = .8

7!/(5!*2!)*(.2)^2*(.8)^5 = 0.2752512

Hope this helps, have a nice day/night! :D

6 0
3 years ago
Assume that there are an equal number of births in each month so that the probability is that a person chosen at random was born
NikAS [45]

Answer:

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of a person being in May:

May has 31 days in a year of 365. So

p = \frac{31}{365} = 0.0849

Group of 20 friends:

This means that n = 20

What is the probability that at the May celebration, exactly two members of the group have May birthdays?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773

0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays

3 0
3 years ago
I need help please?!!!!!!!!
Sunny_sXe [5.5K]

Step-by-step explanation:

add the like terms 5m + 6n + 8m + 2 = 13m + 6n +2

6 0
4 years ago
Read 2 more answers
Find an equation of line with given slope and y-intercept. Slope= -6 y-intercept= (0,-10) The equation of the line is: ?
GREYUIT [131]

Step-by-step explanation:

so, we find the slope-intercept form :

y = ax + b

"a" is the slope (it is always the factor of x), "b" is the y-intercept (the y-value when x = 0).

we have the slope : -6

and the given point (0, -10) gives us already the y-value when x = 0 : -10

therefore, the equation is

y = -6x - 10

4 0
1 year ago
Other questions:
  • Find the slope-intercept form of the equation of a line that passes through the given points.
    8·2 answers
  • In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the longer leg.
    11·1 answer
  • F(n) =7n -11 <br> f(1)<br> f(2)
    9·1 answer
  • If f(x)=7-2x find f(3)+6
    14·1 answer
  • What is 25000 plus 76000
    5·1 answer
  • Is this the correct graphing for the inequality 2c&lt;=100?<br> i’ll mark brainliest please help!!!
    8·1 answer
  • Triangle with exactly <br> 2 equal sides
    7·2 answers
  • Harper surveyed 380 of the students in her school about their favorite color. 57 students said their favorite color was red. Wha
    11·1 answer
  • Plz guys I need help
    12·1 answer
  • The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensio
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!