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3 years ago

What is answer i need it

Mathematics

1 answer:

svp [43]3 years ago

5 0

Answer:

1/24

Step-by-step explanation:

In order to find the probability of a compound event, you have to multiply the probability of each event occurring together.

The probability of choosing a female is 1/2. There are only 2 genders.

The probability of choosing long hair is 1/3. There are three different lengths of hair to choose from.

The probability of choosing red hair is 1/4. There are four different hair colors to choose from!

Multiply all these probabilities:

1/2 * 1/3 * 1/4

= 1/24

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What is the distance beween the points (3,6) and (4,2)

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The answer is sqrt17 or 4.123

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3 years ago

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A college student organization wants to start a nightclub for students under the age of 21. To assess support for this proposal,

eduard

Answer:

a) Sample size = 822

b) Margin of error = 0.03407

Step-by-step explanation:

We are given the following in the question:

p = 74% = 0.74

a) Sample size is required to obtain margin of error of 0.03

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.03 = 1.96\times \sqrt{\dfrac{0.74(1-0.74)}{n}}\\\\n = (\dfrac{1.96}{0.03})^2(0.74)(1-0.74)\\\\n = 821.24 \approx 822$

Thus, the sample size must be approximately 822 to obtain a 95% confidence interval with an approximate margin of error of 0.03

b) Margin of error for the 95% confidence interval

p = 54% = 0.54

Formula:

$\text{Margin of error} = z_{\text{statistic}}\times \sqrt{\dfrac{p(1-p)}{n}}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$\text{Margin of error} = 1.96\times \sqrt{\dfrac{0.54(1-0.54)}{822}}\\\\=0.03407$

The margin of error now will be 0.03407.

5 0

3 years ago

Use a system of equations to solve this problem.Bronze is a mix, or alloy, of tin and copper. A metal worker needs 100 g of bron

d1i1m1o1n [39]

Answer:

x = 50 grs

y = 50 grs

Step-by-step explanation:

" x " is quantity of bronze of 5% tin

" y " is quantity of bronze of 45% tin

The worker needs 100 grs of bronze and this bronze must be 25% tin

The mathematical expression for the 100 grs condition is:

x + y = 100

And the The mathematical expression for the % condition is:

0,05*x + 0.45*y = 0,25 * ( x + y )

The system is:

x + y = 100

0,05*x + 0,45*y = 0,25* ( x + y )

Solving this system we get values of x and y

y = 100 - x

0,05*x + 0,45* ( 100 - x ) = 0,25 * ( x + 100 - x )

0,05*x + 45 - 0,45*x = 0,25*( 100 )

0,05*x + 45 - 0,45*x = 25

- 0,4*x = -45 + 25

x = 20/0,4 x = 50 grs

and y = 50 grs

8 0

3 years ago