MATHEMATICS COLLEGE

The total cost for 5 lb of chicken is $26.25. What is the cost of 1 lb of chicken?

Answers

Answer 1
Answer:

Answer:

$5.25

Step-by-step explanation:

$26.25 divided by 5 is $5.25
Answer 2
Answer:

Answer:

$5.25 for 1 lb of chicken

Step-by-step explanation:

How did I get $5.25?? 26.25 / 5 = 5.25

1 *  5.25 = $5.25

2 * 5.25 = $10.50

3 * 5.25 = $15.75

4 * 5.25 = $21

5 * 5.25 = $26.25

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Perform the following calculation: (+10) + (–45). A. 55 B. –55 C. –35 D. 35

Answers

Answer:

Option C - (+10) + (-45)=-35

Step-by-step explanation:

Given : Expression (+10) + (-45)

To find : Perform the calculation in the given expression ?

Solution :

Step 1 - Write the expression

=(+10) + (-45)

Step 2 - Applying multiplication symbol rule,(+)(-)=(-)

=10-45

Step 3 - Solve the subtraction,

=-35

Therefore, Option C is correct (+10) + (-45)=-35

What is the additive inverse of the complex number 9-4i?

Answers

Answer:

(1)/(9 - 4i)

I'm not sure

Which two equations are equivalent

Answers

Answer: a and b

Step-by-step explanation:

How many randomly selected employers must we contact in order to create an estimate in which we are 95​% confident with a margin of error of 9​%? ​b) Suppose we want to reduce the margin of error to 4​%. What sample size will​ suffice? ​c) Why might it not be worth the effort to try to get an interval with a margin of error of 1​%?

Answers

Answer:

a)n=543

b)n=1509

c)n=13573

Step-by-step explanation:

a)

c=98%,

E=0.05

Margin Error E=Zα/2√p(1-p)/n

but n=((Zα/2)/n)²×p(1-p)

where the confidence level is 1-α=0.98

cross multiply

Zα/2=2.33

where p=0.5

input the values

n=(2.33/0.55)²×0.5(1-0.5)=543

n=0.33

b) E=0.33

E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.01 confidence level

n=(2.33/0.33)²×0.5(1-0.5)=1504

n=1504

c) E=Zα/2√p(1-p)/n

n=((Zα/2)/n)²×p(1-p)

1-α=0.98

cross multiply

Zα/2=2.33

p=0.5

n=(2.33/0.01)²×0.5(1-0.5)=13573

n=13573

Find the length of the radius of the circle, which is inscribed into a right trapezoid with lengths of bases a and b.

Answers

Answer:

  r = (ab)/(a+b)

Step-by-step explanation:

Consider the attached sketch. The diagram shows base b at the bottom and base a at the top. The height of the trapezoid must be twice the radius. The point where the slant side of the trapezoid is tangent to the inscribed circle divides that slant side into two parts: lengths (a-r) and (b-r). The sum of these lengths is the length of the slant side, which is the hypotenuse of a right triangle with one leg equal to 2r and the other leg equal to (b-a).

Using the Pythagorean theorem, we can write the relation ...

  ((a-r) +(b-r))^2 = (2r)^2 +(b -a)^2

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  r = ab/(a+b) . . . . . . . . . divide by the coefficient of r

The radius of the inscribed circle in a right trapezoid is r = ab/(a+b).

_____

The graph in the second attachment shows a trapezoid with the radius calculated as above.
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