Mathematics, 06.06.2020 02:02 dlsmith68

A class of 25 students was asked what their favorite season was. 12 students said Fall. 18 students said Summer. 10 students said both Fall and Summer. How many
students said only Fall? Draw a Venn Diagram before you answer this!!! *

Answers: 3

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Answer from: Jonahrosario03

2 students said only fall

Step-by-step explanation:

Given:

Total number of students = 25

Number of students who like fall season (F) = 12

Number of students who like summer season (S) = 18

Number of students who like both fall and summer season $\left ( F\cap S \right )$ = 10

To find:

Number of students who like only fall season

Solution:

A set is a well defined collection of objects. A universal set is the set of which all other sets are subsets. It is denoted by U.

According to the venn diagram,

n(only F) = $=n(F)-n\left ( F\cap S \right )$

=12-10=2

So, 2 students said only fall.

Answer from: Quest

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

Point z is equidistant from the sides of δrst. which must be true? ctzaszaszzsb

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

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A class of 25 students was asked what their favorite season was. 12 students said Fall. 18 students...