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V125BC [204]
3 years ago
7

Which step is the same in the construction of a perpendicular line through a point on a line and the construction of a perpendic

ular line through a point off a line?
Create only one arc on the original line.
Create two arcs on the original line.
Place the compass on only one point off the original line.
Place the compass on only one point on the original line.
Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Step-by-step explanation:

Create two arcs on the original line.

Place the compass on two points on the original line, one after another for marking a point.

make a line from the original point on the line to the marked point (MP)

the sketch as attached

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What is one fourth of one ton HELP
Alekssandra [29.7K]
1/4 is the same thing as 25%. So we know that we have to find 25% of 2000 pounds, which is 1 ton. Convert 25% into a decimal and then multiply.

2000 times .25 is 500.
One fourth of one ton is 500 pounds.
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3 years ago
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A bank manager wants to open account with $3500 with 3% interest rate. What must the principal be if the bank manager also wants
Simora [160]

Answer:

20%

Step-by-step explanation:

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3 years ago
A textbook store sold a combined total of 477 sociology and math textbooks in a week. The number of sociology textbois sold was
denpristay [2]

Answer:

The correct answer is 218 math textbooks and 259 sociology textbooks.

Step-by-step explanation:

To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:

s + m = 477

m + 41 = s

There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.

s + m = 477

(m + 41) + m = 477

Combining like terms on the left side of the equation yields:

2m + 41 = 477

Subtracting 41 from both sides of the equation gives us:

2m = 436

Finally, dividing both sides of the equation by 2 gives us:

m = 218

To solve for the number of sociology textbooks, we can substitute into either of our original equations.

m + 41 = s

(218) + 41 = s

s = 259

Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.

Hope this helps!

6 0
2 years ago
Suppose at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard. Also, 30% of the
Doss [256]

Answer:

0.6,0.7,0.3 neither disjoint nor independent.

Step-by-step explanation:

Given that at a large university, 60% of the students have a Visa card and 40% of the students have a MasterCard.

A= visa card

B = Master card

P(A) = 0.60 and P(B) = 0.40

P(AUB)' = 0.30

i.e. P(AUB) = 0.70

Or P(A)+P(B)-P(AB) =0.70

P(AB)= 0.30

Randomly select a student from the university.

1) the probability that this student does not have a MasterCard.

= P(B') = 1-0.4 =0.6

2.  the probability that this student has either a Visa card or a MasterCard.

=P(AUB) = 0.70

3. Calculate the probability that this student has neither a Visa card nor a MasterCard.

=P(AUB)' = 0.30

4. Are the events A and B disjoint? Are the events A and B independent?

A and B have common prob 0.30 hence not disjoint.

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