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leonid [27]
3 years ago
5

Your balance sheet shows $6,400 worth of inventory in hair products. Items are recorded in inventory at cost, and the average co

st per unit is $2.43. How many units of hair products do you have ?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Answer:

Units of hair products = 2634 units

Step-by-step explanation:

Given that:

Worth of products in the inventory = $6400

Average cost per unit = $2.43

Number of units = \frac{Total\ worth}{Per\ unit\ cost}

Number of units = \frac{6400}{2.43}

Number of units = 2633.73

Rounding off to nearest whole number = 2634 units

Hence,

Units of hair products = 2634 units

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Bad gums may mean a bad heart. Researchers discovered that 79% of people who have suffered a heart attack had periodontal diseas
zysi [14]

Answer:

(A) 0.297

(B) 0.595

Step-by-step explanation:

Let,

H = a person who suffered from a heart attack

G = a person has the periodontal disease.

Given:

P (G|H) = 0.79, P(G|H') = 0.33 and P (H) = 0.15

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.15)+(0.33\times(1-0.15))\\=0.399

(A)

The probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.15}{0.399} \\=0.29699\\\approx0.297

Thus, the probability that a person had periodontal disease, what is the probability that he or she will have a heart attack is 0.297.

(B)

Now if the probability of a person having a heart attack is, P (H) = 0.38.

Compute the probability that a person has the periodontal disease as follows:

P(G)=P(G|H)P(H)+P(G|H')P(H')\\=P(G|H)P(H)+P(G|H')(1-P(H))\\=(0.79\times0.38)+(0.33\times(1-0.38))\\=0.5048

Compute the probability of a person having a heart attack given that he or she has the disease:

P(H|G)=\frac{P(G|H)P(H)}{P(G)}\\=\frac{0.79\times0.38}{0.5048}\\ =0.59469\\\approx0.595

The probability of a person having a heart attack given that he or she has the disease is 0.595.

4 0
3 years ago
A company that makes​ hair-care products had 4,000 people try a new shampoo. Of the 4,000 ​people, 28 had a mild allergic reacti
lyudmila [28]

Answer:

0.007%

Step-by-step explanation:

4000/28=0.007%

7 0
3 years ago
What is the solution if any, to the inequality 3-l4-nl>1?
atroni [7]

Answer:

The solution to the inequality is all real values of n that respect the following condition: 2 < n < 6

Step-by-step explanation:

First, we need to separate the modulus from the rest of equation. So

3-l4-nl>1

-|4-n|>1-3

-|4-n|>-2

Multiplying everything by -1.

|4-n|<2

How to solve:

|x| < a means that -a<x<a

In this question:

|4-n|<2

-2<4-n<2

This means that:

4 - n > -2

-n > -6

Multiplying by -1

n < 6

And

4 - n < 2

-n < -2

Multiplying by 1

n > 2

Intersection:

Between n > 2 and n < 6 is 2 < n < 6

So the solution to the inequality is all real values of n that respect the following condition: 2 < n < 6

8 0
2 years ago
Please help. 20 points and brainliest.
julia-pushkina [17]

Answer:

minimum -45, maximum 32

Step-by-step explanation:

C=4x-3y

x≥0, y≥4, x+y≤15

Maximum value of C can be achieved at max x and min y

  • min y=4 => max x=15-4=11
  • C=4*11-3*4= 32

Minimum value of C can be achieved at min x and max y

  • min x=0, max y =15
  • C=4*0-3*15= -45

So answer is minimum -45, maximum 32

7 0
3 years ago
ALGEBRA 2 HELP PLEASE!
Tanya [424]
Pls. see attachment. I created that table for easy monitoring and understanding. 

Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.

4 0
3 years ago
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