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Anna [14]
3 years ago
11

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

Mathematics
2 answers:
andreev551 [17]3 years ago
8 0

Answer:

X=-1/2

Step-by-step explanation:

Hope this helps. Plz give brainliest.

Arada [10]3 years ago
3 0

Answer:

x = -1/2 or -0.5

Step-by-step explanation:

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

<em>open the parenthesis</em>

8x - 8 + 2 = 4x - 8

<em>add 8 to both sides of the equation</em>

8x - 8 + 2 + 8 = 4x - 8 + 8

<em>combine like terms</em>

8x + 2 = 4x

<em>subtract 4x from both sides of the equation</em>

8x - 4x + 2 = 0

4x + 2 = 0

<em>subtract 2 from both sides of the equation</em>

4x + 2 - 2 = 0 -2

4x = -2

<em>divide both sides by 4</em>

4x/4 = -2/4

x = -1/2

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A random sample of 5120 permanent dwellings on an entire reservation showed that 1627 were traditional hogans.
krek1111 [17]

Answer:

a) \hat p=\frac{1627}{5120}=0.3178

b)The 99% confidence interval would be given by (0.301;0.355)

Step-by-step explanation:

1) Notation and definitions

X=1627 number of permanent dwellings on the entire reservation that are traditional hogans.

n=5120 random sample taken

\hat p=\frac{1627}{5120}=0.318 estimated proportion of permanent dwellings on the entire reservation that are traditional hogans.

p true population proportion of permanent dwellings on the entire reservation that are traditional hogans.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

Part a

The point of estimate for p=the proportion of all permanent dwellings on the entire reservation that are traditional hogans is given by:

\hat p=\frac{1627}{5120}=0.3178

Part b

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

The confidence interval for the mean is given by the following formula:  

\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}

If we replace the values obtained we got:

0.318 - 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.301

0.318 + 2.58\sqrt{\frac{0.318(1-0.318)}{5120}}=0.335

The 99% confidence interval would be given by (0.301;0.355)

8 0
3 years ago
I really really need help with this . No links
Diano4ka-milaya [45]

Answer:

pretty sure its 123

Step-by-step explanation:

3 0
3 years ago
The local high school is hosting an ice cream social for new students. They record the ice cream choices of the students through
UkoKoshka [18]
3/7 is the correct answer

7 0
3 years ago
Read 2 more answers
The difference of the square of a number and 24 is equal to 5 times that number. Find the negative solution.
vampirchik [111]

Answer:

the "negative solution" is -3

Step-by-step explanation:

Represent the number by n.

Then n^2 - 24 = 5n

We rewrite this in standard quadratic form:

n^2 - 5n - 24 = 0

This factors as follows;  (n + 3)(n - 8) = 0

The roots are n = -3 and n = 8.  Thus, the "negative solution" is -3

8 0
3 years ago
The sum of two numbers is 981. One of the numbers is 703. What is the other number?
victus00 [196]

Answer:

Other number is 278.

Step-by-step explanation:

Given that

a + b = 981

One of the numbers = 703

We assume that it is a ; So

a = 703

Other number = b = ?

Put value of a in a + b

a + b = 981

703 + b = 981

b = 278

6 0
3 years ago
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