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galina1969 [7]
2 years ago
12

Answer please and leave an explanation too! thank you!

Mathematics
1 answer:
grin007 [14]2 years ago
8 0

Answer:

1-C; 2-D.

Step-by-step explanation:

0) the common formula is:

area=π*r²;

1) according to the formula above the area of the sector C. doubles (increases by a factor two);

2) according to the formula the area of the sector D. quadruples (increases by a factor four).

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Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh
Naya [18.7K]
<h3>P(call a person not from his neighborhood) = (\frac{1}{5} )</h3>

Step-by-step explanation:

Here, the total number of contacts in the list if Bruce  = 25 contacts

The total number of neighbors in the contact = 20 people

Now, let E: Event of calling a person from his neighborhood

So, P(E) = \frac{\textrm{Total Favorable Outcomes}}{\textrm{Total Outcomes}}  = \frac{20}{25} = (\frac{4}{5})

So, the probability of calling a person from his neighborhood  is (\frac{4}{5} )

⇒P(E) = (\frac{4}{5} )

Now,as we know: P(E)  + P(not E) = 1

So, the probability of NOT calling a person from neighborhood

= 1 -  probability of calling a person from his neighborhood

= 1 - (\frac{4}{5}) = \frac{5-4}{5}   = (\frac{1}{5})

⇒P( not E) = (\frac{1}{5} )

Hence,  P(call a person not from his neighborhood) = (\frac{1}{5} )

5 0
3 years ago
Read 2 more answers
What is the area of the figure?
wel

Answer: 448

Step-by-step explanation:

6 0
3 years ago
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Find the vertex form for the following quadratic function. f(x)=x^2+14x+41
Luda [366]

f(x) = (x + 7)² - 8

the equation of a quadratic in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

given the quadratic in standard form : y = ax² + bx + c ( a ≠ 0 )

then the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

f(x) = x² + 14x + 41 is in standard form

with a = 1, b = 14 and c = 41

x_{vertex} = - \frac{14}{2} = - 7

substitute this value into the equation for y- coordinate

y = (- 7 )² + 14(- 7 ) + 41 = 49 - 98 + 41 = - 8

f(x) = (x + 7)² - 8 ← in vertex form


7 0
4 years ago
Find the maximum value of the function f(x) = -0.7x2 – 2.7x + 4 to the nearest hundredth.
Irina18 [472]

We need range

\\ \sf\longmapsto f(x)=-0.7x^2-2.7x+4

  • See here x^2 will come greater than or equal to zero.

Least value of x^2 is 0

\\ \sf\longmapsto -0.7(0)+2.7(0)+4=4

So

range

\\ \sf\longmapsto R_f=[4,\infty)

8 0
3 years ago
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I REALLY need help!!!!!
zheka24 [161]

A slope of 3/2 passing through (-3,0) gives us slope intercept form of

y - 0 = (3/2) (x - -3)

y = (3/2) x + 9/2

That's a y intercect of 9/2

Choice D

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4 years ago
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