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MrRa [10]
2 years ago
14

For each expression, combine like terms and write an equivalent expression with fever terms.

Mathematics
2 answers:
ASHA 777 [7]2 years ago
7 0

Answer:

1. 7x

2. 8x - 1

3. 6x + 12

4. 3x + 4

5. 13x - 7

Step-by-Step Explanation:

Hope this helps!

Anton [14]2 years ago
6 0

Answer:

1. 7x

2. 8x -1

3. 6x+12

4. 3x + 4

5. 13x -7

Step-by-step explanation:

It is given that:

1. 4x + 3x

  7x

2. 3x + 5x - 1

   8x -1

3.  5 + 2x + 7 + 4x

   2x+4x+5+7

   6x+12

4. 4 - 2x + 5x

   4 + 3x

  3x + 4

5. 10x - 5 + 3x - 2

   10x + 3x -5 -2

   13x - 7

Therefore,

1. 7x

2. 8x -1

3. 6x+12

4. 3x + 4

5. 13x -7

You might be interested in
Order the numbers from least to greatest. 0.3, 9/25, 33%, 0.35
Finger [1]

Answer:

0.3(least)

0.33

0.35

0.36(greatest)

Step-by-step explanation:

Okay, so first we need to have all of our numbers in the same category of variable. So first, we will convert 9/25 to a decimal.

To do that, we must divide 9 by 25 to get our answer of 0.36.

Now, we will convert the 33% to a decimal by dividing it by 100 to get 0.33

We now have our list, which should be ordered as:

0.3

0.33

0.35

0.36

5 0
2 years ago
At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen
guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

p_1 = \frac{20}{100} = 0.2

s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04

p2 -> 1997

10 out of 100, so:

p_2 = \frac{10}{100} = 0.1

s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03

Distribution of p1 – p2:

p = p_1 - p_2 = 0.2 - 0.1 = 0.1

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05

Confidence interval:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower bound of the interval is:

p - zs = 0.1 - 1.645*0.05 = 0.01775


The upper bound of the interval is:

p + zs = 0.1 + 1.645*0.05 = 0.18225


The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0
3 years ago
There are 10 playing cards in a bag. 7 of those cards are spades.
Hoochie [10]

Answer:

P(spades) = 7/10

Step-by-step explanation:

there are 10 different cards that can be picked, out of which what we want to pick is spades which are 7. and so there are 7 chances that we will get to pick spades out of all the 10 possibilities. hope it is easy to understand

8 0
3 years ago
Simplify (6x2 − 3 − 5x3) − (4x3 + 2x2 − 8).
mezya [45]
(6•2 - 3 - 5•3) - (4•3 + 2•2 - 8)
(12 - 3 - 15) - (12 + 4 - 8)
(9 - 15) - (16 - 8)
(-6) - (8)
-14
7 0
3 years ago
Read 2 more answers
Value expression of 3^5 / 3^3
suter [353]

Answer:

9

Step-by-step explanation:

3^5 = 243

3^3 = 27

243 / 27 = 9

Hope this helps :)

3 0
3 years ago
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