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algol13
3 years ago
12

3. If x +4, 2x+5, and 4x +3 represent the first three terms of an arithmetic sequence, then find the

Mathematics
1 answer:
solong [7]3 years ago
8 0

first term = initial number

second term = initial number + common difference

third term = initial number + 2(common difference)

So...

2x+5-(x+4) = common difference

4x+3-(2x+5) = also common difference

2x+5-(x+4) = x+1

4x+3-(2x+5) = 2x-2

Because x+1=2x-2 we can solve for x.

x=3

So the sequence goes... 7,11,15...

19 is the fourth term

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A graph that has a finite or limited number of data points is
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a discrete graph (I had to look this one up)

4 0
3 years ago
40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in
Harrizon [31]

Answer:

a) 56.67% probability that the student is a woman

b) 16.67% probability that the student received an A

c) 63.33% probability that the student is a woman or received an A.

d) 83.33% probability that the student did not receive an A.

Step-by-step explanation:

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

We have that:

30 students

13 men

17 women

2 men that got an A and 11 men that did not get an A.

3 women that got an A and 14 women that did not get an A.

a. Find the probability that the student is a woman.

30 students, of which 17 are women.

P = \frac{17}{30} = 0.5667

56.67% probability that the student is a woman

b. Find the probability that the student received an A.

30 students, of which 5 received an A

P = \frac{5}{30} = 0.1667

16.67% probability that the student received an A

c. Find the probability that the student is a woman or received an A.

30 students, of which 17 are women and 2 are men who received an A. So

P = \frac{19}{30} = 0.6333

63.33% probability that the student is a woman or received an A.

d. Find the probability that the student did not receive an A.

30 students, of which 25 did not receive an A.

P = \frac{25}{30} = 0.8333

83.33% probability that the student did not receive an A.

7 0
3 years ago
If Josie wants to buy cupcakes and cookies for a party with a budget of
kolezko [41]

Answer:

50 cupcakes, 150 cookies

Step-by-step explanation:

3 0
3 years ago
X - 32.2 = 18.5 how do you solved this
Salsk061 [2.6K]

x-32.2= 18.5

Add 32.2 to both sides

x-32.2+32.2 = 18.5 + 32.2

x = 50.7

I hope that's help !


Check your answer

replace x by its number

50.7-32.2= 18.5

18.5 = 18.5

so the answer is good .


Please let me know if you have question(s) !


3 0
3 years ago
Solve for y in terms of x
AnnZ [28]
-8x+ 4y= -16
4y= 8x - 16
divide it by 4
y= 2x -4
if x is 0 what is y?
y = 2 (0)-4
y = 4
just put an x value in the equation u will get your y value

1 (0,4)
2 (1,-2)
3 (2,0)
4 (3,2)
5 (4,4)
7 0
3 years ago
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