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harina [27]
3 years ago
13

M-3x=2x p what does x equal

Mathematics
1 answer:
ollegr [7]3 years ago
3 0
<span>Simplifying M + -3x = 2x Solving M + -3x = 2x Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '3x' to each side of the equation. M + -3x + 3x = 2x + 3x Combine like terms: -3x + 3x = 0 M + 0 = 2x + 3x M = 2x + 3x Combine like terms: 2x + 3x = 5x M = 5x Simplifying M = 5x</span>
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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
What is the phrase for 3(y+4)
harina [27]

Answer:

I believe its

y plus 4 multiplied by 3

Hope this helps!

3 0
3 years ago
What is the answer to this problem?<br>7-3x - 15=19
sergij07 [2.7K]
The answer is x = -9
6 0
3 years ago
Read 2 more answers
Eggs sell for $1.09 per dozen at the local supermarket. If the supermarket pays $8.00 dollars her case that consist of 12 dozen
WARRIOR [948]

Answer:

B. $5.08

Step-by-step explanation:

First find out how much the supermarket pays per dozen of eggs.

$8.00 / 12 dozen cartons per case = $0.66666

It costs the supermarket approximately $0.67 per dozen

Next find out the profit per dozen of eggs sold

$1.09 store price - $0.67 price store pays = $0.42

The supermarket profits about $0.42 per dozen sold

Finally find out the profit per case of eggs

12 dozen cartons * $0.42 profit per carton = $5.04

The supermarket makes about $5.04 per case so the best answer of the choices would be B. $5.08.

3 0
3 years ago
Read 2 more answers
8-g÷7/8 ; g =5/6 evaluate the expression given​
Nadya [2.5K]

Answer:

148/21

Step-by-step explanation:

8-(5/6)/(7/8)

8-(5/6)(8/7)

8-40/42

simplify 40/42 into 20/21,

8-20/21

168/21-20/21

148/21

4 0
3 years ago
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