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3 years ago

Use the relations to answer the question that follows.

Mathematics

1 answer:

alina1380 [7]3 years ago

6 0

Answer:

OMG you are so pretty

Step-by-step explanation:

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PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inher

lana66690 [7]

Answer:

a) $n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

b) For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

Step-by-step explanation:

We need to remember that the confidence interval for the true proportion is given by :

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

Part a

The estimated proportion for this case is $\hat p =0.76$

Our interval is at 90% of confidence, and the significance level is given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . The critical values for this case are:

$z_{\alpha/2}=-1.64, t_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

The margin of error desired is given $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Replacing we got:

$n=\frac{0.76(1-0.76)}{(\frac{0.01}{1.64})^2}=4905.83$

And rounded up we have that n=4906

Part b

For this case since we don't have prior info we need to use as estimatro for the proportion $\hat p =0.5$

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{1.64})^2}=6724$

And rounded up we have that n=6724

3 0

3 years ago

What is the LCM of 2, 4, and 5?

marta [7]

Answer:

Step-by-step explanation:

the LCM of 2, 4, and 5?

${2}^{2} \times 5$

7 0

2 years ago

An angle measures 3pi/4 radians. What is this angle's measure, in degrees?

Annette [7]

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × $\frac{180}{\pi }$ , so

degree = $\frac{3\pi }{4}$ × $\frac{180}{\pi }$

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

5 0

3 years ago

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A wire 4 1/2 feet long is being cut into smaller pieces of wire, each 1 1/4 feet long. What is the maximum number of smaller pie

Neko [114]

Answer 4.6 ft

Step-by-step explanation:

5 0

3 years ago

How are the two angles below related? Drawing not to scale. Drawing is not to scale.

Phoenix [80]

we know that

Two angles are supplementary if their sum is equal to $180$ degrees

in this problem we have

$Angle\ 1=45\°$

$Angle\ 2=135\°$

$Angle\ 1+Angle\ 2=180\°$

therefore

the answer is

The two angles are supplementary

5 0

3 years ago

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