Which of the following is the best summary of the passage? Use the notes provided to guide you.

Sean has a collection of coins. One tenth of the coins are from Europe. Thirty-two hundredth are from Asia. The rest are from Af

Tema [17]

Lets write each part, the total will be x:
(1/10)x = Europe
3200 = Asia
x - (1/10)x - 3200 = Africa

Europe + Asia = (1/10)x + 3200 = x/10 + 3200
= (320x + 1)/3200
that would be expressed as a fraction, and depends on the total of coins, x

7 0

3 years ago

Read 2 more answers

Donna bought 3 pairs of pants for $28.50 each. She also bought a necklace for $12.25. She received a discount of 35% off her ent

oee [108]

Answer:

Donna will have to pay $67.985125 at the register, including the 7% sales tax.

Step-by-step explanation:

Donna bought 3 pairs of pants for $28.50 each.

So, the cost for 3 pair of pants $=(28.50\times 3)dollars= 85.50$ dollars.

She also bought a necklace for $12.25

Thus, the cost for her entire purchase will be: $(85.50+12.25) dollars = 97.75$ dollars.

She received a discount of 35% off her entire purchase. So, the amount of discount $=(97.75\times 0.35)= 34.2125$ dollars.

Thus, the total selling price will be: $(97.75-34.2125)= 63.5375$ dollars.

Percentage of sales tax is 7%. So, the amount of sales tax $=(63.5375\times 0.07)= 4.447625$ dollars.

Thus, the total amount Donna have to pay at the register $=(63.5375+4.447625)=67.985125$ dollars.

5 0

4 years ago

X= 3 is not a solution to 12 + x = 16 Why not?

Inga [223]

Because 12 + 3 is not equal to 16...

4 0

3 years ago

Read 2 more answers

Karen Sullivan delivers newspapers for the Tribune dispatch. She receives 18.2 cents per paper, six days a week (for the daily p

mario62 [17]

Answer:

About $241.11

Step-by-step explanation:

So, Karen receives 18.2 cents per paper.

She delivers 124 paper per day.

In other words, on days other than Sunday, she will make a total of:

$18.2(124)=2256.8\text{ cents}$

On Sunday, each paper is sold for $0.70 or 70 cents. She also sells 151 Sunday papers. Thus, on a Sunday, she will make a total of:

$70(151)=10570\text{ cents}$

Therefore, in one week, she will do the first equation six times and the Sunday equation once. Thus, her total pay will be:

$6(2256.8)+10570=24110.8\text{ cents}\approx\$241.11$

4 0

3 years ago

The realtor and her clients do not know the average home sale price for all of Guelph (500 was actually just a guess). However,

strojnjashka [21]

Answer:

a) The 99% confidence interval would be given by (346.708;453.292)

b) The 99% confidence interval would be given by (338.445;461.555)

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=400$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=80$ represent the population standard deviation

n=15 represent the sample size

2) Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$400-2.58\frac{80}{\sqrt{15}}=346.708$

$400+2.58\frac{80}{\sqrt{15}}=453.292$

So on this case the 99% confidence interval would be given by (346.708;453.292)

3) Part b

For this case we don't know the population deviation so we need to use the t distribution instead the normal standard distribution.

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

We need to find the degrees of freedom first df=n-1=15-1=14

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,14)".And we see that $t_{\alpha/2}=2.98$

Now we have everything in order to replace into formula (1):

$400-2.98\frac{80}{\sqrt{15}}=338.445$

$400+2.98\frac{80}{\sqrt{15}}=461.555$

So on this case the 99% confidence interval would be given by (338.445;461.555)

4 0

3 years ago