1. A pharmacy has determined that a healthy person should receive 70 units of proteins, 100 units of carbohydrates and 20 units of fat daily. If the store carries the six types of health food with their ingredients as shown in the table below, what blend of foods satisfies the requirements at minimum cost to the pharmacy? Make a mathematical model for the given problem.
Foods
A
20
B
30
C
Ꭰ
40
40
E
F
45
30
Protein units
Carbohydrates units
50
30
4
Cost per unit
9
235
20
11
25
10
6
50
20
Fat units
9
10
8

Answer:

a) 0.8802 = 88.02% probability that the shipment is accepted

b) 0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of any other item. This means that we use the binomial probability distribution 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.

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

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20 randomly selected video streaming devices

This means that [tex]n = 20[/tex]

a. Find the probability that the shipment is accepted if 3% of the total shipment is defective.

3% defective means that [tex]p = 0.03[/tex]

Probability of at most 1 defective is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

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

[tex]P(X = 0) = C_{20,0}.(0.03)^{0}.(0.97)^{20} = 0.5438[/tex]

[tex]P(X = 1) = C_{20,1}.(0.03)^{1}.(0.97)^{19} = 0.3364[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5438 + 0.3364 = 0.8802[/tex]

0.8802 = 88.02% probability that the shipment is accepted.

b. Find the probability that the shipment is accepted if 15% of the total shipment is defective

Now [tex]p = 0.15[/tex]. So

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

[tex]P(X = 0) = C_{20,0}.(0.15)^{0}.(0.85)^{20} = 0.0388[/tex]

[tex]P(X = 1) = C_{20,1}.(0.15)^{1}.(0.85)^{19} = 0.1368[/tex]

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0388 + 0.1368 = 0.1756[/tex]

0.1756 = 17.56% probability that the shipment is accepted if 15% of the total shipment is defective.

Answer:

Can you upload this as a jpg, I can't open it to asnwer. Also, you listed 10 points not 20.

Step-by-step explanation:

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

Now,

⇒  [tex]0.09x+0.06(47,500-x)=3000[/tex]

⇒        [tex]0.09x+2850-0.06x=3000[/tex]

⇒                     [tex]0.03x+2850=3000[/tex]

⇒                                [tex]0.03x=150[/tex]

⇒                                       [tex]x=\frac{150}{0.03}[/tex]

⇒                                       [tex]x=5000[/tex]

Answer:

Im only in middle school, sorry

Step-by-step explanation:

I have tips tho!

always write information down, only useful ones, and not like "jimmy love to play basketball" kin of stuff.

Think it through, dont just guess.

Hope this helps i guess,

-yuko

Answer:

X    2     -7

-9  -18    126

3    -54   -6,804

     1944  7.71

      0.00396604938

Step-by-step explanation:

I tried. Sorry if it's wrong I've never done a mathematical punnet square before.

Answer:

-7

Step-by-step explanation:

Answer:

-7

Working:

2-7-(-8)+ (-10)

=2-7+8-10

=-7

Answer:

8.07

Step-by-step explanation:

sin(48)=x/6

6sin(48)=x

Answer:

128

Step-by-step explanation:

N(t) = 4(2)^t

N(t) = 4(2)^5

N(t) = 4(32)

N(t) = 128

The number of bacteria that are

in the dish five days after the four bacteria are placed in the dish is; 128 bacteria

We are given the formula for the

number of bacteria in the dish on day as;

N(t) = 4(2)^t

Where t is number of days after the four bacteria are placed in the dish.

Now we are told tof find the number of bacteria in the dish after 5 days.

Thus, we would put 5 for t in the given equation to get;

N(5) = 4(2)^5

N(5) = 4(32)

N(5) = 128

Read more about exponential growth at; https://brainly.com/question/23766914

Answer:

c

Step-by-step explanation:

Answer:

$207

Step-by-step explanation:

Calculate how nany hours Sue worked last week:

7.5 + 7.5 + 6.5 + 6.5 + 6.5

34.5 hours total

Now calculate her total income for last week:

34.5 hours × $6

$207

Answer: one solution

Step-by-step explanation:

CONCEPT:

- One solution is when the final variable would be able to find a solution.

- Infinite solution is when the equations result in 0=0, meaning any number will fit

- No solution is when the equation results in both sides on equal.

SOLVE:

Given

3/4x-7=3(1/6x+1)

Expand Parenthesis

3/4x-7=1/2+3

Multiply both sides by the LCM of fractions (Least Common Multiple)

4(3/4x-7)=4(1/2x+3)

3x-28=2x+12

Subtract both sides by 2x

3x-28-2x=2x+12-2x

x-28=12

Add both sides by 28

x-28+28=12+28

x=40

Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

Please let me know if you have any quesionts

Answer:

no solution

Step-by-step explanation:

the value of 3x+2y can't be two different things at once

Answer: no solutions

Step-by-step explanation:

when the two equations have the same x and y values but a different y intercept they can not have any solutions because they are parallel

Answer:

the answer is 7 feet

Step-by-step explanation:

28/4=7

Answer:

D

Step-by-step explanation:

A factor is when you divide a number and get no remainders. D shows that 8*4 is 32, meaning that 32/8=4.

Answer:

7

Step-by-step explanation:

Mode is the value that appears most often. 7 appears the most often in this list.

the answer is (-8) because x=4, y=-6, z=11

These consists of more than 1 equation with unknown variables. The value that is not a solution in (x,y, z)is -8

These consists of more than 1 equation with unknown variables. Given the set of equations

x+y+z=9

x-y-z=-1

x-y+z= 21

Add 1 and 2

2x = 9 - 1

2x = 8

x = 4

Subtract 2 and 3

-2z = -22

z = 11

Determine the value of y

x +y + x = 9

4 + y + 11 = 9

y = 9 - 15

y = -6

Hence the value that is not a solution in (x,y, z)is -8

Learn more on system of equation here: https://brainly.com/question/25976025

#SPJ6

Answer:

omg

Step-by-step explanation:

wowo .. . . . . . . . . . . . . . . . .

Answer:

Thanks so muchhh!! I'm really bad at math so I post questions alot so I dont have many points often. :)

Answer: f(-3)=(-3)^2

f(-3)=9

the answer is C

Step-by-step explanation:

Answer: -5 I'm pretty sure, the way you put it kinda made me confused

Answer:

2+4r. Expressions are equivalent.

Step-by-step explanation:

Multiply r and 3

Multiply r and 1

The r just gets copied along.

The answer is r

r

3*r evaluates to 3r

3*r+10 evaluates to 3r+10

3r + r = 4r

The answer is 4r+10

3*r+10+r evaluates to 4r+10

10 - 8 = 2

The answer is 2+4r

3*r+10+r-8 evaluates to 2+4r

The final answer is

2+4r

Multiply r and 2

Multiply r and 1

The r just gets copied along.

The answer is r

r

2*r evaluates to 2r

Multiply 2 and 2r

Multiply 1 and r

The r just gets copied along.

r

2*(2*r) evaluates to 4r

8+2*(2*r) evaluates to 8+4r

8 - 6 = 2

The answer is 2+4r

8+2*(2*r)-6 evaluates to 2+4r

The final answer is

2+4r

Answer:

a and d

Step-by-step explanation:

brainliest if you want :)

Answer:

A or 18 – 0.25(18)

and

D or 0.75(18)

Step-by-step explanation:

Have great rest of your day. I know this works because I got it correct on the assignment. Good luck! :)

Answer:

A best descibes it as we can say its the only answer

Step-by-step explanation:

using symaltaneous equation is the only way to solve it

Answer:

Add the formula do the math!

I will give you the answer later!

P.s maybe after you tell me if you figured it out!

Step-by-step explanation:

Have a great week!

Hope i helped! <3

Tell me if so!

Your welcome!

Byes! :)

-Sincerely, Brainliest!

Answer:

y < 2x + 5

Step-by-step explanation:

The format for slope intercept is y = mx + b. In this case, it is y < mx + b. Your equation is -4x + 2y < 10. First, start by adding 4x to -4x. This gets rid of that number on the left so it can just be 2y. Now, add that 4x to the right side of the equation. You are left with 2y < 4x + 10. The final step is to divide 2 from 2y. Since you are doing this step on the left side of the equation, you must now do it to the right. After also dividing 2 from 4x and 10, your final answer is y < x +5.

Answer:

x = 15

y = 13

Step-by-step explanation:

6x - 4 = 5x + 11

x = 15

4y + 3 + 3y + 86 = 180

7y = 91

y = 13

Answer:

Answer for Y is 100....

Answer:

100

sorry if my answer is wrong