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kakasveta [241]
2 years ago
5

This Venn diagram shows the pizza topping preferences for 9 students

Mathematics
2 answers:
egoroff_w [7]2 years ago
8 0

Answer:

D

Step-by-step explanation:

There are 6 students who like pepperoni or olives

joe katie noah maria zack or julia


there were 9 students serveyed

P (aor b) = 6/9 = 2/3

VashaNatasha [74]2 years ago
4 0

Answer:

\frac{2}{3}

Step-by-step explanation:

Given: Total number of the students are nine. Since there are 6 in total students who likes pepperoni and olives. Therefore,

P(A or B)=\frac{Number of students that likes pepperoni and olives}{Total number of students}

= \frac{6}{9}

= \frac{2}{3}


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JL has coordinates J(-6, 1) and L(-4,3).<br> Find the coordinates of the midpoint.
ikadub [295]

Answer:

The coordinates of the mid-point of JL are (-5 , 2)

Step-by-step explanation:

If point (x , y) is the mid-point of a segment whose end-points are (x_{1},y_{1}) and (x_{2},y_{2}), then x=\frac{x_{1}+x_{2}}{2} and  y=\frac{y_{1}+y_{2}}{2}

∵ JL is a segment

∵ The coordinates of J are (-6 , 1)

∴  x_{1} = -6 and  y_{1} = 1

∵ The coordinates of L are (-4 , 3)

∴  x_{2} = -4 and  y_{2} = 3

Lets use the rule above to find the mid-point of JL

∵ x=\frac{-6+-4}{2}=\frac{-10}{2}

∴ x = -5

∴ The x-coordinate of the mid-point is -5

∵ y=\frac{1+3}{2}=\frac{4}{2}

∴ y = 2

∴ The y-coordinate of the mid-point is 2

∴ The coordinates of the mid-point of JL are (-5 , 2)

5 0
2 years ago
the community food bank has 750 meals to distribute over a 12 hour period. They need to save at least 50 of the meals for the vo
Anit [1.1K]
Since we must save 50 meals for volunteers, the real amount we are giving away is 700 meals in 12 hours.

700/12 = 58.3333...

10*58.333.. = 583.333....

Since we can't serve 1/3 of a person, we take 583. Hope this helps!
8 0
2 years ago
What are the coordinates of the circumcenter of this triangle? Enter your answer in the boxes.
Juliette [100K]

Answer:

(2,1)

Step-by-step explanation:

We can see  that the given triangle.

The coordinates of A are (-1,5) .

The coordinates of B are (-1,-3).

The coordinates of C are  (5,-3).

Distance formula: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

AB=\sqrt{(-3-5)^2+(-1+1)^2}=8 units

BC=\sqrt{(5+1)^2+(-3+3)^2}=6 units

AC=\sqrt{(5+1)^2+(-3-5)^2}=10 units

Pythagoras theorem:(Hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2}

AB^2+BC^2=8^2+6^2=100

AC^2=(10)^2=100

Therefore, AC^2=AB^2+BC^2

When a triangle satisfied the Pythagoras theorem then, the triangle is right triangle.

Hence, the given triangle is  a right triangle.

We know that circum-center of right triangle is the mid point of hypotenuse.

Mid-point formula:x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Using this formula then, we get

Mid-point of hypotenuse AC is given by

x=\frac{-1+5}{2}=2,y=\frac{5-3}{2}=1

Hence, the circum-center of triangle is (2,1).

7 0
2 years ago
A cone-shaped pile of gravel has a diameter of 30 m and a height of 9.1 m.
Arte-miy333 [17]
D/2=r
vcone=(1/3)hpir^2
given
d=30
h=9.1
d/2=30/2=15=r

v=(1/3)9.1pi15^2
v=(9.1/3)pi225
v=682.5pi
use 3.141592 to aprox pi
v=2144.13654
the closese is the first one
answer would be 2120 m³
6 0
1 year ago
Read 2 more answers
A rare first-edition book is currently priced at $200. After one year, the price of the book is anticipated to be 1.15 times the
Ber [7]

Answer is Graph Y, NOT Graph W

4 0
1 year ago
Read 2 more answers
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