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3 years ago

(Click the Picture for my question) and thank you!

Mathematics

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

Step-by-step explanation:

By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:

$\displaystyle \pi=\frac{C}{d}$

In fact, if you multiply both sides by the diameter d, you can see that:

$C=\pi d$

Which is the formula for circumference you've been commonly taught.

ELEN [110]3 years ago

7 0

The answer should be C

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Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a p

nekit [7.7K]

Answer:

Required inequality is $4800+183x>8000$ .

Step-by-step explanation:

Given that Mrs. Robinson, an insurance agent, earns a salary of $4,800 per year plus a 3% commission on her sales. The average price of a policy she sells is $6,100. Write an inequality to find how many policies Mrs. Robinson must sell to make an annual income of at least $8,000.

Calculation is given by:

Salary per year = $4,800

Average price of a policy = $6,100.

commission on her sales = 3%

Then commission on $6,100 = 3% of $6,100 = 0.03 ($6,100) = $183

Let number of policies Mrs. Robinson must sell to make an annual income of at least $8,000 = x

then total commission on x policies = 183x

Total income using x policies = 4800+183x

Since she wants to make an annual income of at least $8,000. so we can write inequality as:

$4800+183x>8000$

Hence required inequality is $4800+183x>8000$ .

5 0

3 years ago

One of the more famous anecdotes in the field of statistics is known as the "Lady Tasting Tea" and involves the renowned statist

mote1985 [20]

Answer:

$n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36$

And rounded up we have that n=8068

Step-by-step explanation:

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

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

We want for this case a 95% of confidence desired, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The margin of error for this case is $ME =\pm 0.01$ 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)

The estimated proportion for this case is $\hat p=0.3$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.3(1-0.3)}{(\frac{0.01}{1.96})^2}=8067.36$

And rounded up we have that n=8068

7 0

3 years ago

Rafi had a board that was 15 1/2 feet long. He cut three pieces off the board that are each 3 7/8 feet long. How much of the boa

sattari [20]

Answer:

Step-by-step explanation:

To answer this question, first we need to figure out how much of the board Rafi cut off.

To do this, we need to multiply the length of each piece by the number of pieces he cut off.

3 7/8 = 3.875

3.875 * 3 = 11.625

Now, because we knew Rafi cut off 11.625 feet off of the board, we just need to subtract this length from the length of the entire board to find the remaining length.

15 1/2 = 15.5

15.5 - 11.625 = 3.875

There is 3.875 feet or 3 7/8 of the board left.

7 0

2 years ago

A video game club charges $8 per month as a membership fee, plus $2.75 for each game rental. Eugenie plans to join and rent no m

Andru [333]

Answer:

22 dollars

Step-by-step explanation:

2.75x5=13.75 dollars

$13.75+$8.00=$21.75

Round it up to the closest number which is $22

6 0

2 years ago

Read 2 more answers

57.4 divided by 10???????

Gnesinka [82]

57.4/10=5.74
the answer is 5.74

6 0

3 years ago

Read 2 more answers