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stealth61 [152]
3 years ago
11

Help please! 10 points!

Mathematics
1 answer:
Zina [86]3 years ago
3 0
Let the number of chairs Gavin build per week is x and number of tables he builds per week is y.

It takes 4 hours to work on a chair and 10 hours to work on a table. So time taken to work on x chairs and y tables will be:

Time=4x+10y

Gavin wants to work for no more than 40 hours. So we can write the inequality as:

4x+10y \leq 40

It takes $10 worth of supplies to build a chair and $15 worth of supplies to build a table. So cost or worth of supplies for x chairs and y tables will be:

Cost=10x+15y

Gavin wants to spend no more than $80 on material. So we can write the inequality as:

10x+15y \leq 80

Thus the system of inequalities is:

4x+10y \leq 40
10x+15y \leq 80

We can observe the possible combinations from the graph of these inequalities, which is shown below:
a) 0 chair and 3 tables
b) 5 chairs and 2 tables
c) 8 chairs and 2 tables 

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Answer:

69

Step-by-step explanation:

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5 0
3 years ago
Here is a map of a town.
Nimfa-mama [501]

Answer:

The real-life distance between the park and the theatre is of 12 km.

Step-by-step explanation:

Scale of 1:400,000

Each means that each centimeter on the map has the real distance of 400,000 cm = 4 km

What is the real-life distance between the park and the theatre?

On the map, the distance between them is of 3 centimeters.

3*4 = 12

The real-life distance between the park and the theatre is of 12 km.

3 0
3 years ago
If 2/7 of the animals at a zoo are birds and 1/8 of the birds are flamingos, what portion of the animals at the zoo are flamingo
alex41 [277]
It says it in the question does it not?
7 0
3 years ago
Read 2 more answers
1. The probability of telesales representative making a sale on a customer call is 0.15.
Mumz [18]

Answer:

1c

 n = 33

1d

 n = 19

Step-by-step explanation:

From the question we are told that

   The  probability of telesales representative making a sale on a customer call is  p = 0.15

     The mean is  \mu  =  5

Generally the distribution of sales call  made by a  telesales representative follows a binomial distribution  

i.e  

         X  \~ \ \ \  B(n , p)

and the probability distribution function for binomial  distribution is  

      P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the mean is mathematically represented as

     \mu =  n*  p

=>  5= n *  0.15

=>  n = 33

Generally the least number of calls that need to be made by a representative for the  probability of at least 1 sale to exceed 0.95 is mathematically represented as

      P( X \ge 1) = 1 - P( X < 1 ) > 0.95

=>    P( X \ge 1) = 1 - P( X =0 ) > 0.95

=>    P( X \ge 1) = 1 - [ ^{n}C_0 *  (0.15 )^0 *  (1- 0.15)^{n-0}] > 0.95

=>    1 - [1  *  1*  (0.85)^{n}] > 0.95

=>    [(0.85)^{n}] > 0.05

taking natural  log of both sides

n = \frac{ln(0.05)}{ln(0.85)}

=>  n = 19

3 0
2 years ago
If 1*2= 5, 3*5= 13, and 2*7= 16, what is 6*8?
Anvisha [2.4K]
6*8 = 22

They Multiplied The Second Number By Two Then Added The First Number To It.
5 0
3 years ago
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