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amid [387]
2 years ago
10

7-113 b.

Mathematics
1 answer:
Jlenok [28]2 years ago
5 0

An equilateral shape is a shape that has all congruent sides.

<em>Sandy has a greater probability of selecting an equilateral shape</em>

Given

Sandy: <em>Equilateral triangle, Rhombus, and Regular hexagon</em>

Robert: <em>Scalene triangle, Kite, Isosceles trapezoid, Non-special quadrilateral, and Obtuse isosceles triangle</em>

All three shapes in Sandy's shape bucket are equilateral.

So, the probability that Sandy picks an equilateral shape is 1

All five shapes in Robert's shape bucket are non-equilateral.

So, the probability that Robert picks an equilateral shape is 0

By comparing the probabilities:

<em>1 is greater than 0</em>

Hence, Sandy is more likely to pick an equilateral shape than Robert.

Read more about probabilities at:

brainly.com/question/24297863

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Help plz!!!
lara [203]

Answer with explanation:

→→→Function 1

f(x)= - x²+ 8 x -15

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= - 2 x + 8

Put,f'(x)=0

-2 x+ 8=0

2 x=8

Dividing both sides by , 2, we get

x=4

Double differentiating the function

f"(x)= -2, which is negative.

Showing that function attains maximum at ,x=4.

Now,f(4)=-4²+ 8× 4-15

           = -16 +32 -15

          = -31 +32

          =1

→→→Function 2:

f(x) = −x² + 2 x − 3

Differentiating once , to obtain Maximum or minimum of the function

f'(x)= -2 x +2

Put,f'(x)=0

-2 x +2=0

2 x=2

Dividing both sides by , 2, we get

x=1

Double differentiating the function,gives

f"(x)= -2 ,which is negative.

Showing that function attains maximum at ,x=1.

f(1)= -1²+2 ×1 -3

   = -1 +2 -3

  = -4 +2

 = -2

⇒⇒⇒Function 1  has the larger maximum.

6 0
3 years ago
A triangle is graphed in the coordinate plane. The vertices of the triangle have coordinates (–3, 1), (1, 1), and (1, –2). What
vladimir2022 [97]

Answer:

The perimeter of the triangle is 12\ units

Step-by-step explanation:

Let

A(-3,1),B(1,1),C(1,-2)

we know that

The perimeter of triangle is equal to

P=AB+BC+AC

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

step 1

Find the distance AB

A(-3,1),B(1,1)

substitute in the formula

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

AB=\sqrt{(0)^{2}+(4)^{2}}

AB=4\ units

step 2

Find the distance BC

B(1,1),C(1,-2)

substitute in the formula

BC=\sqrt{(-2-1)^{2}+(1-1)^{2}}

BC=\sqrt{(-3)^{2}+(0)^{2}}

BC=3\ units

step 3

Find the distance AC

A(-3,1),C(1,-2)

substitute in the formula

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

AC=\sqrt{(-3)^{2}+(4)^{2}}

AC=5\ units

step 4

Find the perimeter

P=AB+BC+AC

substitute the values

P=4+3+5=12\ units

6 0
3 years ago
Please help? &lt;3 thank you
Effectus [21]

Answer:

asking 10 students wearing football jerseys each day for a week

Step-by-step explanation:

if students come to school wearing a football jersey then more than likely their favorite sport is football which means that your results will not be as accurate as the others.

3 0
3 years ago
Read 2 more answers
The measurement of the width of a garden plot is 44 m. Its actual width is 45.5 m.
romanna [79]
Answer:  -3.3%

By not knowing how i did it, means you will still not know how to do it next time you encounter a similar problem.

Knowing how to solve a problem is just as important or even more important than just knowing the solution.

5 0
3 years ago
Why do parallel lines never cross?<br><br> Answers Are
Serggg [28]

Answer:

C. Because they have the same slopes and different y-intercepts

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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