Which expression is equivalent to (2x – 3)2 – 3.5x2(2x –5) + 6x(2.5x2

Two production lines are used to pack sugar into 5 kg bags. Line 1 produces twice as many bags as does line 2. One percent of ba

enyata [817]

Answer:

P(Bag is Defective) = 0.0167

Step-by-step explanation:

Line 1 produces twice as many bags as line 2. Let x be the number of bags produced by line 2.

No. of bags produced by line 2 = x

No. of bags produced by line 1 = 2x

Probability that the bag has been produced by line 1 can be written as:

P(Line 1) = No. of bags produced by line 1/Total no. of bags

= 2x/(x+2x)

= 2x/3x

P(Line 1) = 2/3. Similarly,

P(Line 2) = x/3x

P(Line 2) = 1/3

1% bags produced by line 1 are defective so the probability of line 1 producing a defective bag is:

P(Defective|Line 1) = 0.01

3% of bags from line 2 are defective, so:

P(Defective|Line 2) = 0.03

b. The probability that the chosen bag is defective can be calculated through the conditional probability formula:

P(A|B) = P(A∩B)/P(B)

The chosen defective bag can be either from line 1 or from line 2. So, the probability that the chosen bag is defective is:

P(Bag is Defective) = P(Defective and from Line 1) + P(Defective and from Line 2)

= P(D∩Line 1) + P(D∩Line 2)

= P(Defective|Line 1)*P(Line 1) + P(Defective|Line 2)*P(Line 2)

= (0.01)*(2/3) + (0.03)(1/3)

P(Bag is Defective) = 0.0167

7 0

2 years ago

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The low temperature in Leroy's town one day was Negative 4 degrees Fahrenheit. The difference between the high temperature and t

Ivenika [448]

The high temperature was 2 degrees Fahrenheit in the town that day.

Step-by-step explanation:

Given,

Low temperature in Leroy's town = -4 degree Fahrenheit

Difference between low and high temperature = 6 degrees Fahrenheit

Equation used to find high temperature h;

$h-(-4)=6$

Solving the equation

$h+4=6\\h=6-4\\h=2$

The high temperature was 2 degrees Fahrenheit in the town that day.

Keywords: equation, subtraction

Learn more about subtraction at:

#LearnwithBrainly

3 0

2 years ago

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Application of the least squares method results in values of the y-intercept and the slope that minimizes the sum of the squared

vaieri [72.5K]

Answer:

c. observed values of the independent variable and the predicted values of the independent variable

Step-by-step explanation:

This helps us, for example, find the values of y in a y = f(x) equation. y is dependent of x. So x is the independent variable and y the dependent. Obviously, this system is used for way more complex equations, in which is hard to find an actual pattern for y, so we use this method to compare the predicted values of y to the observed.

The correct answer is:

c. observed values of the independent variable and the predicted values of the independent variable

5 0

2 years ago

A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and

AfilCa [17]

Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

$x+y\leq 200$

so

<em>Verify each case</em>

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

$-50+160\leq 200$

$110\leq 200$ ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

$80+160\leq 200$

$240\leq 200$ ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

$75-200\leq 200$

$-125\leq 200$ ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case D) (60,135)

substitute the value of x and the value of y in the inequality and then compare the result

$60+135\leq 200$

$195\leq 200$ ----> is true

therefore

The point is a viable solution

5 0

2 years ago

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A researcher is conducting research on using technology in teaching. The researcher has two groups. The first group receives ins

Troyanec [42]

Answer:

This study is good because we have minimized sampling error.

Step-by-step explanation:

We are given that . The researcher has two groups.

The researcher classifies the students based on when they volunteer for the study.

The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.

A. This study is poor because the researcher did not use random sampling.

B. This study is poor because the researcher did used random sampling.

C. This study is good because we have minimized sampling error.

D. This study is good due to the equal sample size in each group.

Option C is true : This study is good because we have minimized sampling error.

6 0

2 years ago

Which expression is equivalent to (2x – 3)2 – 3.5x2(2x –5) + 6x(2.5x2 – x + 3.1)?