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3 years ago

Try Again

Mathematics

1 answer:

Rus_ich [418]3 years ago

4 0

Answer:
12 inches
step-by-step explanation:
16 inches of wire = 48 cents
48/16
3 cents for each
36/3
12 inches

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A researcher takes a simple random sample of 83 homes in a city and finds that the mean square footage is 1628 with a standard d

Anna [14]

Answer: (1583.63, 1672.37)

Step-by-step explanation:

Given : Sample size : n= 83

Sample mean : $\overline{x}=1628$

Sample standard deviation : $\sigma=243$

The population standard deviation $(\sigma)$ is unknown .

The confidence interval for population mean :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}$

For 90% confidence , significance level = $\alpha=1-0.90=0.10$

Using t-distribution table , Critical t-value = $t_{(\alpha/2, n-1)}=t_{0.05,82}=1.6636$

, where n-1 is the degree of freedom.

Now , 90% confidence interval for the mean square footage of all the homes in that city will be :-

$1628\pm (1.6636)\dfrac{243}{\sqrt{83}}\\\\ 1628\pm (1.6636)(26.672715)\\\\\\\\\approx1628\pm 44.37\\\\=(1628- 44.37,\ 1628+ 44.37)\\\\=(1583.63,\ 1672.37)$

Hence, the 90% confidence interval for the mean square footage of all the homes in that city = (1583.63, 1672.37)

7 0

3 years ago

Spencer Ward purchased a new riding mower for $1,989. He made a 15% down payment and financed the remainder. What amount did he

Ostrovityanka [42]

The amount of the down payment is
1,989×0.15=298.35

Amount financed is
1,989−298.35=1,690.65

4 0

3 years ago

Can someone help me with this and also explain please

sveticcg [70]

13n+4
there is an equal difference between each number where four is added on each time, so you would add for on to the last number which would give you the 13 and use the +4 at the end to show the differences between the numbers

3 0

3 years ago

The cost of a t-shirt was $30. Now the t-shirt costs $37.50. What is the percent of change? Do the work on your own paper and wr

Art [367]

Answer:

25%

Step-by-step explanation:

Given that,

Initial cost of a t-shirt = $30

Final cost of a t-shirt = $37.50

We need to find percent of change. The percentage change in any value is given by :

$\%=\dfrac{\text{final value-initial value}}{\text{initial value}}\times 100\\\\=\dfrac{37.5-30}{30}\times 100\\\\=25\%$

Hence, the percentage error is 25%.

8 0

3 years ago

a right triangle has a hypotenuse of 6 metres and one other of 3.4 metres. The length of the remaining side is closest to: a) 47

lesya692 [45]

The length of the other side is D) 4.9

7 0

3 years ago