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atroni [7]
3 years ago
12

Graph the inequality on the axes below.

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

  • See attached

Step-by-step explanation:

<u>Given inequality:</u>

  • y < 1/3x - 6

Find the x- and y- intercepts and connect with a dotted line.

  • x = 0 ⇒ y = -6
  • y = 0 ⇒ x = 18

Shade the region below the y- intercept.

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Suppose that 35 people are divided in a random manner into two teams in such a way that one team contains 10 people and the othe
Effectus [21]

Answer:

0.5798 or 57.98%

Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798

The probability is 0.5798 or 57.98%.

8 0
3 years ago
Use​ l'Hôpital's Rule to find the following limit. ModifyingBelow lim With x right arrow 0StartFraction 3 sine (x )minus 3 x Ove
steposvetlana [31]

Answer:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=-\frac{1}{14}

Step-by-step explanation:

The limit is:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{0}{0}

so, you have an indeterminate result. By using the l'Hôpital's rule you have:

\lim_{x \to 0} \frac{a(x)}{b(x)}= \lim_{x \to 0} \frac{a'(x)}{b'(x)}

by replacing, and applying repeatedly you obtain:

\lim_{x \to 0} \frac{3sinx-3x}{7x^3}= \lim_{x \to 0}\frac{3cosx-3}{21x^2}= \lim_{x \to 0}\frac{-3sinx}{42x}= \lim_{x \to 0}\frac{-3cosx}{42}\\\\ \lim_{x \to 0} \frac{3sinx-3x}{7x^3}=\frac{-3cos0}{42}=-\frac{1}{14}

hence, the limit of the function is -1/14

8 0
3 years ago
What is the value of x?
kicyunya [14]

Answer:

(5(x-4))0

evaluate

1

Step-by-step explanation:

your answer is one i believe

6 0
3 years ago
Read 2 more answers
Solve for x : 1/4 (2x-14)=4 <br> a. 15 <br> b. 15/2 <br> c. 9 <br> d. 11
aniked [119]
1/4(2x-14)=4
2x/4-14/4
X/2-7/2=4
x-7/2=4
8=x-7
8+7=x
X=15
6 0
3 years ago
A tuna can weighs eighty-five grams. What is the weight of eleven tuna cans?
Anika [276]

Answer:

85g*11=935g

Step-by-step explanation:

1 tuna can = 85g

11 tuna cans is= 1*11

so 85g*11

3 0
2 years ago
Read 2 more answers
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