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IgorLugansk [536]

3 years ago

11

the state sales tax in pennsylvania is 0.06 (or 6%). if your total bill at the music store included $3.03 in sales tax, how much

did the merchandise cost?

1 answer:

Sedbober [7]3 years ago

3 0

The answer is: 50.5

Solution:

3.03 x 100 = 303
303 ÷ 6 = 50.5

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Explain and demonstrate how to turn 4/20 into a percent

iren2701 [21]

Answer:

20%

Step-by-step explanation:

We can start by looking at it as a ratio, so 4 divided by 20 and 4/20 = 0.2, so that would be 20% viewing 1=100%.

Another way is

20 here is 100%, and for 20 to equal 100, we have to multiply it by 5. To balance it out, multiply the top by 5 as well, and 4 * 5 =20. Therefore, 4/20 = 20%

4 0

2 years ago

Find the volume of the cylinder. Use 3.14 for T. Round to the nearest tenth.

AleksandrR [38]

It will be 5 cm and use 3.14 to multiply

4 0

2 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

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

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)

And on this case we have that $ME =\pm 0.04$ 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)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

5 0

3 years ago

PLEASE HELP 10pts

Veronika [31]

Answer:

Hence the function which has the smallest minimum is: h(x)

Step-by-step explanation:

We are given function f(x) as:

f(x) = −4 sin(x − 0.5) + 11

We know that the minimum value attained by the sine function is -1 and the maximum value attained by sine function is 1.

so the function f(x) receives the minimum value when sine function attains the maximum value since the term of sine function is subtracted.

Hence, the minimum value of f(x) is: 11-4=7 ( when sine function is equal to 1)

Also we are given a table of values for function h(x) as:

x y

−2 14

−1 9

0 6

1 5

2 6

3 9

4 14

Hence, the minimum value attained by h(x) is 5. ( when x=1)

Also we are given function g(x) ; a quadratic function passing through (2,7),(3,6) and (4,7)

so, the equation will be:

$g(x)=ax^2+bx+c$ Hence on putting these coordinates we will get:

a=1,b=3 and c=7.

Hence the function g(x) is given as:

$g(x)=x^2-6x+15$

So,the minimum value attained by g(x) could be seen from the graph is at the point (3,6).

Hence, the minimum value attained by g(x) is 6.

Hence the function which has the smallest minimum is h(x)

6 0

3 years ago

Read 2 more answers

Blockbuster Video charges $3 to a rent a video, plus an additional $2 for every day that the video is late. Which equation can b

Rom4ik [11]

Answer:

y=2x+3

Step-by-step explanation:

the normal charge is 3 + 2 x number of days so this equation is the correct one.

7 0

3 years ago