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Zepler [3.9K]
3 years ago
8

Circles C, B, and P overlap. Circle C contains 9, circle B contains 11, and circle P contains 7. The overlap of circles C and P

contains 6, the overlap of circles C and B contains 5, and the overlap of circles B and P contains 4. The overlap of all 3 circles contains 3.
Westside High’s 2015 senior-class science enrollment is summarized by the Venn diagram. Chemistry, biology, and physics class enrollments are denoted by the sets C, B, an P, respectively.


How many students are in the 2015 senior class?



How many students are taking chemistry and biology, but not physics?



How many students are not taking science?

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

9514 1404 393

Answer:

  • 63 in the class
  • (C+B)P' = 25
  • (C+B+P)' = 18

Step-by-step explanation:

The number of students in the class is the total of all numbers on the diagram:

  9 +5 +11 +6 +3 +4 +7 +18 = 63 . . . students in the 2015 senior class

__

Students taking Chem or Biology, but not Physics are those in the colored area, excluding those in the green:

  9 +5 +11 = 25 science students not taking Physics

__

Students not taking science are those outside the colored areas:

  18 students are not taking science

Salsk061 [2.6K]3 years ago
5 0

Answer:

Circles C, B, and P overlap. Circle C contains 9, circle B contains 11, and circle P contains 7. The overlap of circles C and P contains 6, the overlap of circles C and B contains 5, and the overlap of circles B and P contains 4. The overlap of all 3 circles contains 3.

Westside High’s 2015 senior-class science enrollment is summarized by the Venn diagram. Chemistry, biology, and physics class enrollments are denoted by the sets C, B, an P, respectively.

How many students are in the 2015 senior class?

63

How many students are taking chemistry and biology, but not physics?

5

How many students are not taking science?

18

Step-by-step explanation:

Right on edg 2021

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

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6 0
3 years ago
Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)
Murrr4er [49]

\sqrt{x - 5} + 7 = 11

(\sqrt{x-5}) ^{2} = (4)^{2}

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16     or     x - 5 = -16

<u>   +5</u>   <u>+5   </u>           <u>   +5 </u>    <u>+5  </u>

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Find the area of the regular polygon​
Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

p = s * n

p = 12 * 6

p = 72

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

a = \frac{s}{2 * tan (\frac{180}{n} )}

a = \frac{12}{2 * tan (\frac{180}{6} )}

a = \frac{12}{2 * \frac{\sqrt{3} }{3}}

a = \frac{12}{\frac{2\sqrt{3} }{3}}

a = \frac{12*3}{2\sqrt{3}}

a = \frac{6*3}{\sqrt{3}}

a = \frac{18}{\sqrt{3}}

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

A = \frac{a * p}{2}

A = \frac{\frac{18}{\sqrt{3} }  * 72}{2}

A = \frac{18}{\sqrt{3}}  * 36

A = \frac{640}{\sqrt{3}}

Turning into a decimal:

A = 374.123 ft ^2

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