7,030 divided by 3 the division algorithm ?

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

Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr

vfiekz [6]

$7d+3$ Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

$\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\ \end{gathered}$

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

$n=7d+3$

therefore , the expression for the number of nickles is

$7d+3$

I hope this helps you

3 0

1 year ago

I need help please don’t understand at alk

likoan [24]

Answer:

x=4

ME=9

AM=18

AE=27

Because m in the midpoint ME is double AM

2(4x-7)=5x-2 4(4)-7 5(4)-2 18+9

8x-14=5x-2 16-7 20-2 =27

-5x -5x =9 =18

3x-14=-2

+14 +14

3x=12

3 3

x=4

5 0

3 years ago

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent

Anvisha [2.4K]

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

$d = \sqrt{ {10}^{2} - {5}^{2} } \\ = \sqrt{100 - 25} \\ = \sqrt{75} \\ = 8.66025404 \\ = 8.7 \: units$

3 0

2 years ago

stephanie invests $3,991 in a retirement account with a fixed annual interest rate of 6% compound continuously. What will the ac

wolverine [178]

Answer:

7103.98

Step-by-step explanation:

1) 3991 × 6% = 239.46 intrest rate of a year

2) 239.46 × 13 = 3112.98 intrest rate of 6% for 13yrs

3) 3991 + 3112.98 = 7103.98 Stephanie account balance after 13 yrs

3 0

3 years ago