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2 years ago

Describe the diagram

Mathematics

2 answers:

Degger [83]2 years ago

6 0

Answer:

The diagram represents 3 sets assuming they refer to 3 activities A, B and C.

The shaded point on A shows those engage in activities A only.

The shaded point on B shows those engage in activities B only.

The shaded point on C shows those engage in activities C only.

Incidentally the numbers of people engage in activities A only and B only are the same number.

The colour grade for the following is the same with that engage in only activity B;

The intersection of A and B

The intersection of B and C

The intersection of A and C

Therefore it means the numerical value is the same with that of B only;

A n B= B n C = A n C = n( B only); n on the right represent intersection and on the left number.

A n B n C = no of people engaged in all 3 activities.

A n B n C = n( A only) = n( B only) ;

From the colour grade

Note: n on the right represent intersection and on the left

Tasya [4]2 years ago

3 0

Answer:

The diagram reprents the 3 sets and the universal set . The shaded portion clearly can be seen as :

$A \cap B \cap C + A - (A \cap B) - (A \cap C) + A \cap B \cap C + C - (C \cap B) - ( C \cap A) + (A \cap B \cap C)$

Shaded region = $3(A \cap B \cap C) + A + C - (A \cap B) - 2(A \cap C) - (C \cap B)$

Try to understand some what complex

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Solve the inequality for V. -8.3 _>_ V - 1.9

Arada [10]

First keep in mind that the given value is negative and that it is greater than or equal to whatever 'v' is.

$-8.3 \geq v - 1.9$

When solving for a variable in any equation, you do something to both sides in order to keep it equal. Here, v is being subtracted by 1.9; therefore we can add 1.9 to both sides in order to isolate the variable.

$-8.3 + 1.9 \geq v - 1.9 + 1.9$
$-6.4 \geq v$

Despite not needing a value for the question, it is worth noting that since this is an inequality, v can be any value from -6.4 to ∞ in order to make it true.

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2 years ago

Rabies is an often-fatal disease typically transmitted through the bite of an infected animal. The state of Florida has been rec

slega [8]

Answer:

a) 3.6

b) 1.897

c)0.0273

d) 0.9727

Step-by-step explanation:

Rabies has a rare occurrence and we can assume that events are independent. So, X the count of rabies cases reported in a given week is a Poisson random variable with μ=3.6.

The mean of a Poisson random variable X is μ.

mean=E(X)=μ=3.6.

The standard deviation of a Poisson random variable X is √μ.

standard deviation=S.D(X)=√μ=√3.6=1.897.

The probability for Poisson random variable X can be calculated as

P(X=x)=(e^-μ)(μ^x)/x!

where x=0,1,2,3,...

So,

P(no case of rabies)=P(X=0)=e^-3.6(3.6^0)/0!

P(no case of rabies)=P(X=0)=0.0273.

P(at least one case of rabies)=P(X≥1)=1-P(X<1)=1-P(X=0)

P(at least one case of rabies)=1-0.0273=0.9727

8 0

2 years ago

Mariain buys a dress that costs 32 dollars she pays 10 percent sales tax

jeyben [28]

Answer:

the total cost would be $45.2

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2 years ago

Maria compared the slope of the function f(x)=(-6x-21) to the slope of the linear function that fits the values in the table bel

raketka [301]

Answer:

b. both functions have a negative slope

Step-by-step explanation:

The given function is

$f(x)=-6x-21$

This function is of the form $y=mx+b$ , where $m=-6$ is the slope and $b=-21$ is the y-intercept.

We can also determine the slope of the function in the table using any two points, say $(0,7)\:and\:(2,6)$ .

The slope formula is given by,

$m=\frac{y_2-y_1}{x_2-x_1}$ .

If $(x_1,y_1)=(0,7)\:and\:(x_2,y_2)=(2,6)$ , then,

$m=\frac{6-7}{2-0}$

$m=-\frac{1}{2}$ .

We can see that both functions have a negative slope.

The correct answer is B.

8 0

2 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

Answer:

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

Solution:

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$