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chubhunter [2.5K]
1 year ago
5

Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.

Mathematics
1 answer:
Veronika [31]1 year ago
7 0

The equation representing Max's number is 2\times(x+8).

<h3>What is an equation?</h3>

In its simplest form in algebra, the definition of an equation may be a mathematical statement that shows that two mathematical expressions are equal. It consists of variables dependent and independent variables. They can be linear or non-linear in nature.

Let the number Max is thinking be 'x'

He adds 8 to the number and then he doubles the sum.

Sum means we are adding a number to x, in this case it is 8.

Double the number means twice the given number in this case it is twice the sum of number with 8.

As per the statement:

The expression to represents Max's number

=2\times(x+8)

To know more about equations visit:

brainly.com/question/15457147

#SPJ9

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Use a recursive function for the geometric sequence 2, -6, 18, -54,... to represent the 9th term.
Jlenok [28]

Answer:

f(9) = f(8)·(-3)

Step-by-step explanation:

A recursive function is one where each successive term is calculated using the previous term;

The clear pattern demonstrated in the sequence of terms shown is that each term is multiplied by -3 to give the next one;

Hence, the correct option is the first.

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Hope is the coach of the Wilson High School girls' soccer team. There are 3 minutes left in the game they are currently playing,
NISA [10]

To answer this question, we need to find the winning probability in either case.

Probability = no. of outcomes / total no. of possible outcomes

<u>When Hope pulled her defender :</u>

Total no. of games = 9

No. of games won = 3

Winning probability = 3/9 =1/3

<u>When Hope left her defender :</u>

Total no. of games = 10

No. of games won = 6

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We know that , 1/3 < 3/5.

So, Hope should not pull her defender, as the winning probability is better when Hope left her defender.

Answer : A. Hope should not pull her defender.


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Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th
True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0
3 years ago
The sample space of a random experiment is {a, b, c, d, e} with probabilities 0.1, 0.1, 0.2, 0.4, and 0.2 respectively. Let A de
antoniya [11.8K]

Answer:

a) P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4

b) P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8

c) P(A') = 1-P(A) =1-0.4=0.6

d) P(A \cup B) =0.4 +0.8-0.2 =1.0

e)  The intersection between the set A and B is the element c so then we have this:

P(A \cap B) = P(c) =0.2

Step-by-step explanation:

We have the following space provided:

S= [a,b,c,d,e]

With the following probabilities:

P(a) =0.1, P(b)=0.1, P(c) =0.2, P(d)=0.4, P(e)=0.2

And we define the following events:

A= [a,b,c], B=[c,d,e]

For this case we can find the individual probabilities for A and B like this:

P(A) = 0.1+0.1+0.2 = 0.4

P(B) =0.2+0.4+0.2=0.8

Determine:

a. P(A)

P(A) =P(a)+P(b) +P(c)= 0.1+0.1+0.2 = 0.4

b. P(B)

P(B) =P(c) +P(d)+P(e)=0.2+0.4+0.2=0.8

c. P(A’)

From definition of complement we have this:

P(A') = 1-P(A) =1-0.4=0.6

d. P(AUB)

Using the total law of probability we got:

P(A \cup B) =P(A) +P(B)-P(A \cap B)

For this case P(A \cap B) = P(c) =0.2, so if we replace we got:

P(A \cup B) =0.4 +0.8-0.2 =1.0

e. P(AnB)

The intersection between the set A and B is the element c so then we have this:

P(A \cap B) = P(c) =0.2

8 0
3 years ago
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