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tester [92]
3 years ago
13

A science class has

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0
The probability that the teacher selects both boys from a seventh grader and eighth grader.
first calculate the probility that it is boy in each grade
7th
x = 7 / ( 7 + 3) = 7 / 10

8th
y = 2 / (2 + 2) = 1 / 2

so the probability
P = ( 7 / 10 ) ( 1 / 2 )
P = 0.35
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A cell phone plan costs $39 a month. The plan includes 2 gigabytes (GB) of free data and
DerKrebs [107]

a) C(0.5) = 39,  C(2)  =  39,  C(4)  =  69

b) Answers in part (a) represents the values of C at x = x₀

c) C(x) is continuous at x = 2

C (x) = 39 for 0 ⩽ x ⩽ 2

Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:

C(0.5)  =  39

Since x = 2 is in the range 0 ⩽ x ⩽ 2

C(2)  =  39

Since x = 4 is in the range x  >  2

C(4) = 39 + 15(x - 2)

C(4) = 39  +  15 (4 - 2)

C(4)  =  39  +  15(2)

C(4)  =  39  +  30

C(4)  =  69

b) The answers in part A represents C(x). That is, the values of C at x = x₀

c) Is C(x) continuous at x = 2

C(2)   =  39

\lim_{x \to 2} C(x) = 39

Since \lim_{x \to 2} C(x) = C(2), the function C(x) is continuous at x = 2

Learn more here: brainly.com/question/20710468

4 0
2 years ago
What is the center of the circle shown below
ivanzaharov [21]

J

That's the only point within the circle, and it seems like the center. In these questions, just assuming it's perfectly in the center typically works.

7 0
3 years ago
Read 2 more answers
Use completing the square to solve for x in the equation (x+7)(x-3) = 25.
Juliette [100K]

Answer:

please can ur equation and send it again ....I will help you

6 0
3 years ago
The larger of two numbers is five more than the smaller number. If the sum of the numbers is 59, find the numbers
Andrews [41]

Answer:

27 and 32.

Step-by-step explanation:

Let the two numbers be A and B.

The larger number (let's use B) is 5 more than the smaller one (A). In other words:

B=5+A

Their sum is 59. So:

A+B=59

This is a system of equations. Solve by substituting the first equation into the second. Thus:

A+(5+A)=59

Combine like terms:

2A+5=59

Subtract 5 from both sides:

2A=54

Divide both sides by 2:

A=27

So, the smaller number is 27.

This means that the bigger number is 27+5=32.

So, the two numbers are 27 and 32.

And we're done!

4 0
3 years ago
If z^2+1/z^2=11 , find the value of z^3-1/z^3,using only the positive value of z-1/z
vredina [299]
Hello,

Let's assume

t=z- \dfrac{1}{z} \\\\

t^2=z^2-2+ \dfrac{1}{z^2}= 11-2=9==\ \textgreater \ t=3\\\\

t^3=z^3-3z^2* \dfrac{1}{z} +3z* \dfrac{1}{z^2} - \dfrac{1}{z^3} \\\\
=z^3 - \dfrac{1}{z^3} -3(z-\dfrac{1}{z})\\\\
z^3 - \dfrac{1}{z^3}=t^3+3t=3^3+9=27+9=36



7 0
3 years ago
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