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pochemuha
3 years ago
8

An equilateral triangle and a square have the same perimeter. One side of the triangle measures 12 cm.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
I believe the sides of the suare is 9
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The claim that 40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable j
Bad White [126]

Answer:

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

Step-by-step explanation:

Test if the proportion is less than 40%:

At the null hypothesis, we test if the proportion is of at least 0.4, that is:

H_0: p \geq 0.4

At the alternative hypothesis, we test if the proportion is of less than 0.4, that is:

H_1: p < 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

74 out of the 200 workers sampled said they would return to work

This means that n = 200, X = \frac{74}{200} = 0.37

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.37 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}

z = -0.87

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion below 0.37, which is the p-value of z = -0.87.

Looking at the z-table, z = -0.87 has a p-value of 0.1922.

The p-value of the test is of 0.1922 > 0.02, which means that there is not significant evidence to reject the null hypothesis, that is, there is not significant evidence to conclude that the proportion is of less than 40%.

7 0
2 years ago
I need help plsssss...........
ch4aika [34]

Answer:

<h2>A)x=3/2 y=½</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • system of linear equation
  • PEMDAS
<h3>let's solve:</h3>
  • since y is equal to both equation therefore we can substitute the value of y into the other equation
  1. \sf substitute \: the \: value \: of \: y :  \\  \sf  - x + 2 = 3x - 4
  2. \sf add \: x \: to \: both \: sides :  \\  \sf  - x + x + 2 = 3x + x - 4 \\  \sf 4x - 4 = 2
  3. \sf add \: 4 \: to \: both \: sides :  \\  \sf xx - 4 + 4 = 2 + 4 \\ 4x = 6
  4. \sf divide \: both \: sides \: by \: 4 :  \\  \frac{4x}{4}  =  \frac{6}{4}  \\ x =  \frac{3}{2}

let's figure out y

  1. substitute the got value of x into the second equation: y=3*3/2 -4
  2. simplify multiplication:9/2 -4
  3. simplify division:4.5-4
  4. substract:0.5 alternate form:y=½

3 0
3 years ago
Determine whether the slope line is positive or negative and then find the slope of each line?
goldenfox [79]
I he slope line is negative
5 0
3 years ago
BRAINLIEST TO CORRECT ANSWER!!
BartSMP [9]

120/1500=x/100, x=8

So, you make 8% commision, meaning you now have to do this:

x/1300=8/100, so x=$104

3 0
3 years ago
Read 2 more answers
Find the length of side X
mel-nik [20]

Solve using the Pythagorean theorem.

The hypotenuse is c.

5 0
2 years ago
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