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morpeh [17]
3 years ago
15

True or false? A convex shape curves outwards.

Mathematics
2 answers:
Margaret [11]3 years ago
6 0
The answer is true. Hope this helps. Mark brainest

Akimi4 [234]3 years ago
6 0
True. A convex shape curves outwards as seen in diagram 1

A Concave shape, on the other hand, curves inward

hope this helps

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Ashley, Bob, Claire, and Daniel are among 13 students who entered a lottery to win a free vacation to Paris.
AlladinOne [14]

Answer:

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the students are chosen is not important, so the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

4 students from a set of 4(Ashley, Bob, Claire, and Daniel). So

D = C_{4,4} = \frac{4!}{4!(4-4)!} = 1

Total outcomes:

4 students from a set of 13(number of students in the lottery). So

T = C_{13,4} = \frac{13!}{4!(13-4)!} = 715

Probability:

p = \frac{D}{T} = \frac{1}{715} = 0.0014

0.0014 = 0.14% probability that Ashley, Bob, Claire, and Daniel will be chosen.

7 0
3 years ago
The table below represents a linear relationship. What is the slope of the line?
stealth61 [152]

Answer: side ways

Step-by-step explanation:

5 0
2 years ago
Suppose f(x)=6x-2 and g(x)=2x+4). Find each of the following functions.
makvit [3.9K]

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) = 6x-2\\and\\g(x)=2x+4

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=6x-2+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

a. (f+g)(x) = 8x+2

b. (f-g)(x) = 4x-6

Keywords: Functions

Learn more about functions at:

  • brainly.com/question/5282516
  • brainly.com/question/5424148

#LearnwithBrainly

8 0
3 years ago
A parabola has vertex (2, 3) and contains the point (0, 0). find an equation that represents this parabola.
AfilCa [17]
First write it in vertex form :-

y= a(x - 2)^2 + 3    where a is some constant.

We can find the value of a  by substituting the point (0.0) into the equation:-

0  = a((-2)^2 + 3

4a = -3

a = -3/4

so our equation becomes  y =  (-3/4)(x - 2)^2 + 3




7 0
3 years ago
Estimate 137,638 plus 52,091
seraphim [82]
First round
137,638=100,000
52,091=50,000
Then add to get the estamate
100,000
+
  50,000
150,000
Then to get the real answer add
      1
137,638
+
   52091
 189,729



8 0
3 years ago
Read 2 more answers
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