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3 years ago

enya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive?

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

151.40 Euros

Step-by-step explanation:

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An article reported that for a sample of 52 kitchens with gas cooking appliances monitored during a one-week period, the sample

kolbaska11 [484]

Answer:

a) $654.16-2.01\frac{164.55}{\sqrt{52}}=608.29$

$654.16+2.01\frac{164.55}{\sqrt{52}}=700.03$

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

b) $n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189$

Step-by-step explanation:

Part a

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=52-1=51$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,51)".And we see that $t_{\alpha/2}=2.01$

Replacing we got:

$654.16-2.01\frac{164.55}{\sqrt{52}}=608.29$

$654.16+2.01\frac{164.55}{\sqrt{52}}=700.03$

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

Part b

The margin of error is given by :

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

The desired margin of error is ME =50/2=25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , and we use an estimator of the population variance the value of 175 replacing into formula (b) we got:

$n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189$

6 0

3 years ago

59 Item 59 You ask 150 people about their pets. The results show that 925 of the people own a dog. Of the people who own a dog,

Mrrafil [7]

How can 925 people own a dog when you only asked 150 people?

7 0

3 years ago

G. a car travels at 60m/s for 50minutes <br> south west.calculate how far it will travel

Tju [1.3M]

Step-by-step explanation:

first we want to convert it to minutes so we multiply 60m/s by 60. 3600m/min or 3.6km/min

we just multiply 50 by 3.6.

therefore the car travels 180km south west

3 0

2 years ago

Help solving this math problem

Lady_Fox [76]

Answer:55 degrees

Step-by-step explanation:

So the two problems both ave TS which meant R is 20 and W is 25

and T is 10 and S is 10.

R 20 +

S 10 +

W 25 =

RSW 55

7 0

3 years ago

Read 2 more answers

Victor has $90,000 in a savings account that earns 14% annually. The interest is not compounded.How much will he have in 4 month

TiliK225 [7]

Answer:

$ 5200

Step-by-step explanation:

int = money . time . rate

int = 90000 . 4/12 . 14/100

int = 900 . 1/3 . 14

int = 300 . 14

int = 5200

6 0

3 years ago