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Dmitry [639]
3 years ago
8

How do I solve 5(1 − x) + 2(x + 3) ?

Mathematics
1 answer:
Korvikt [17]3 years ago
5 0

Answer:

11-3x

Step-by-step explanation:

1) Multiply 5(1-x). To do this, you multiply 5 by both x and 1. You should get     5-5x.

1) Next, multiply 2(x+3). You should get 2x+6.

3) Finally, add like terms. Add 2x and -5x together and add 6 and 5 together. You should get -3x and 11.

The answer is 11-3x.

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There are 12 boys in a math class. The total number of students s depends on the number of girls in the class g. write an equati
Pani-rosa [81]
12 + g = s
12 boys + g girls = s students
5 0
3 years ago
A given population proportion is .25. What is the probability of getting each of the following sample proportions
anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0
2 years ago
Solve for X kinda confused i don’t know what to do!!
sweet [91]

Answer:

16.9265381881

Step-by-step explanation:

Tangent = Opposite/Adjacent.

Thus, tan62 = x/9 --> tan62 = 1.88072646535, multiply by 9 to get x, 1.88072646535* 9 = 16.9265381881

7 0
3 years ago
Find the total time.
Ad libitum [116K]

Answer:

A and D

Step-by-step explanation:

53 + 37 + 44 with the time standard being minutes

Find total time

___________________________________________

We have units of time and need to add them together, let's do as such.

53 + 37 + 44

134 minutes.

Let's try simplifying it into minutes to find how much we have :

134/60

2 hours and 14 minutes

Therefore A and D are correct.

3 0
2 years ago
Read 2 more answers
9 is 12 percent of what number? ( show your work)
Rasek [7]
For this question, we want to find out what 9 / 12 equals as a percent or x / 100. Therefore, we have a proportion here and can say: 9/12 = x/100 Now, at this point, we can cross multiply to get: 900 = 12x Now, divide both sides by 12 to get x alone and find that: x = 75 <==== FINAL ANSWER
so 9 is 12% of 75!
I hope that helps you out! Please let me know if you have any other questions!
3 0
3 years ago
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