All categories

3 years ago

what is the largest amount of postage in cents that cannot be made by using only 3 cent and 5 cent stamps?

Mathematics

2 answers:

NARA [144]3 years ago

7 0

Answer: The largest you can't make is 7 cents.

Step-by-step explanation:

Once you get 3 consecutive amounts, you can get all larger ones just by adding 3 cent stamps. So let's see what you can make:

1 no

2 no

3 yes

4 no

5 yes

6 yes

7 no

8 yes, and this will give you 11 14 17 etc

9 yes, and this will give you 12 15 18 etc

10 yes, and this will give you 13 16 19 etc.

Ne4ueva [31]3 years ago

7 0

Answer:

Step-by-step explanation:

You might be interested in

(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses

Ganezh [65]

The answer is A and B

3 0

3 years ago

A target with a diameter of 14cm has 4 scoring zones by concentric circles. The diameter of the center circle is 2 cm. The width

Leni [432]

Answer:

$48.98\%$

Step-by-step explanation:

we know that

The probability that it will hit a point in the outer (yellow) ring is equal to divide the area of the yellow ring by the total area of the target

step 1

Find the area of the yellow ring

$A=\pi [7^{2} -5^{2}]$

$A=24\pi\ cm^{2}$

step 2

Find the total area of the target

$A=\pi [7^{2}]$

$A=49\pi\ cm^{2}$

step 3

Find the probability

$24\pi/49\pi=0.4898$

Convert to percentage

$0.4898*100=48.98\%$

4 0

3 years ago

Read 2 more answers

Convert to scientific notation: 0.0509.

fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0

3 years ago

The latest poll from ESPN asked fans what their favorite sport was, considering pro, college and highschool levels. Out of 1000

shepuryov [24]

Answer:

Confidence interval is $0.2911$

Step-by-step explanation:

Given that 32% of fans sport is basketball as favorite sport. So total number of fans is,

$32\%\times 1000$

$= \dfrac{32}{100}\times 1000$

$=320$

So 320 fans favorite sport is basket ball.

Now find sample proportion ,

$\widehat{p}=\dfrac{number\:of\:people\:in\:the\:sample}{total\:number\:of\:people}$

Substituting the value,

$\widehat{p}=\dfrac{320}{1000}$

$\widehat{p}=0.320$

Formula for confidence interval is,

$CI=\widehat{p}\pm z\sqrt{\dfrac{\widehat{p}\left (1-\widehat{p}\right )}{n}}$

To calculate the z value.

$Confidence Level=1-\alpha$

$0.95=1-\alpha$

$0.05=\alpha$

Now divide above value by 2,

$\dfrac{0.05}{2}=\dfrac{\alpha}{2}$

$0.025=\dfrac{\alpha}{2}$

To find the value of z score calculate the area under the curve as follows

$A=\dfrac{1+CL}{2}$

$A=\dfrac{1+0.95}{2}$

$A=\dfrac{1.95}{2}$

$A=0.975$

On z table, find the value of 0.975. So the row corresponding to 0.975 is 1.9 and column corresponding to 0.975 is 0.06. Adding these two values the z score is 1.96.

or find the value from excel by using command as follows,

=NORM.S.INV(0.025)= -1.959963985

Now substituting the value,

$CI=0.320\pm 1.96\sqrt{\dfrac{0.320\left (1-0.320\right )}{1000}}$