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Westkost [7]
3 years ago
6

X + y2 = 25 x + 3y = 33

Mathematics
1 answer:
Advocard [28]3 years ago
7 0
Are these 2 different questions or is this one equation
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The area of a parallelogram is 6 square units. Both the height and the length of the base are whole numbers. What are the possib
lbvjy [14]

Answer:

Step-by-step explanation:

The factor pairs of 6 are 1×6 and 2×3

So the parallelogram (height by length) could be:

1 by 6  

2 by 3

3 by 2

6 by 1

7 0
3 years ago
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the en
GuDViN [60]

Answer:

P = 0.1447

Step-by-step explanation:

Given

n = 7000 -- total

d = 180 --- defective

r = 6 --- selected

Required

The probability of rejecting the batch

This means that at least one of the selected piece is defected.

So, we first calculate the probability that all the selected piece are accepted.

So, we have:

Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}

The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs

So, we have:

Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}

Pr = 0.8553

Using the complement rule, the probability that the batch will be rejected is:

P = 1 - 0.8553

P = 0.1447

8 0
2 years ago
You spend ​$25 on a meal including tax and want to leave a tip that is​ 20% of the ​$25. What is the total​ cost, with the​ tip?
Tems11 [23]
You mulitply 25 by .2 to get 5 and you add that to 25 to get $30
3 0
3 years ago
Read 2 more answers
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function?
Ne4ueva [31]
A because (0,-6) is the y-intercept so you start at the point you know. Then because slope is a rise over run fraction the slope can also be written as 2/1 which is rise 2 over 1.
7 0
3 years ago
Read 2 more answers
A boutique handmade umbrella factory currently sells 37500 umbrellas per year at a cost of 7 dollars each. In the previous year
slega [8]

Answer:

$302,500

Step-by-step explanation:

If cost (C) = $7, then Sales (S) = 37,500 units

If cost (C) = $15, then Sales (S) = 17,500 units

The slope of the linear relationship between units sold and cost is:

m=\frac{37,500-17,500}{7-15}\\m= -2,500

The linear equation that describes this relationship is:

s-s_0 =m(c-c_0)\\s-17500 =-2500(c-15)\\s(c)=-2500c + 55,000

The revenue function is given by:

R(c) = c*s(c)\\R(c)=-2500c^2 + 55,000c

The cost at which the derivative of the revenue equals zero is the cost that yields the maximum revenue.

\frac{d(R(c))}{dc}=0 =-5000c + 55,000\\c=\$11

The optimal cost is $11, therefore, the maximum revenue is:

R(11)=-2500*11^2 + 55,000*11\\R(11)=\$ 302,500

4 0
3 years ago
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