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77julia77 [94]
3 years ago
7

A rectangular field is 0.45 kilometers long and 0.4 kilometers wide. What is the area of the field in square meters? Do not roun

d your answer. Be sure to include the correct unit in your answer.
Mathematics
1 answer:
Anastaziya [24]3 years ago
4 0

area of rectangle = l * w

here l=0.45 km

w=0.4 km

area = 0.45 * 0.4 = 0.18 sq. km

Answer : Area = 0.18 km²

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Water is being sprayed from a nozzle at the end of a garden hose of diameter 2.25 cm. If the nozzle has an opening of diameter 1
Gwar [14]

Answer:

4.67 m/s

Step-by-step explanation:

The equation of continuity for an incompressible fluid is A1v1 = A2v2 where A represents area and v is velocity of the fluid.

If we let the values with subscript 1 be those inside the hose and 2 be those at the nozzle then the question can be solved this way

A_{1} v_{1} = A_{2} v_{2} \\\\(\pi *0.01125^{2} )*v_{1} = (\pi *0.00065^{2} )*14\\\\v_{1}  = 4.67 m/s

6 0
3 years ago
A fellow-student calculates a 99% confidence interval for a mean and gets (0.020,0.045). She says that there is a 99% chance tha
Kitty [74]

Answer:

No. Once the confidence interval is calculated, the probability that it contains the true mean  is either 1 or 0. So then is not appropiate says that the confidence level is a chance. The best conclusion for this case would be:

We have 99% confidence that the true mean for the variable of interest on this case is between (0.02; 0.045)

Step-by-step explanation:

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 represent the sample mean for the sample  

\mu population mean (variable of interest)  

s represent the sample standard deviation  

n represent the sample size  

Confidence interval

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 mean and the sample deviation we can use the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n} (2)  

s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}} (3)  

After apply the procedure  we got that the interval is (0.02; 0.045) and we need to analyze if the following conclusion is right or no:

She says that there is a 99% chance that the true mean is between 0.020 and 0.045. Is she right? Why or why not?

The best answer for this case would be:

No. Once the confidence interval is calculated, the probability that it contains the true mean  is either 1 or 0. So then is not appropiate says that the confidence level is a chance. The best conclusion for this case would be:

We have 99% confidence that the true mean for the variable of interest on this case is between (0.02; 0.045)

5 0
4 years ago
What is the value of the expression |a + b| + |c| when a = –5, b = 8, and c = –13?
Semmy [17]
For the first problem, your answer is D, 16, because -5+8=3, and 3+ |-13|=16, because the absolute value of -13=13
for the 2nd, B is the correct answer. -4.37 is smaller than -1.63, 
the 3rd one is  C, 19.  -14+19=5, 
the 4th one the answer is D, -20.1 because 12.7+ -20.1=-7.4
1=D
2=B
3=C
4=D
5 0
3 years ago
John is considering accepting one of two sales positions. ABC Company offers a yearly salary of $45,000. XYZ Company offers a ye
KATRIN_1 [288]

Answer:  Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

Step-by-step explanation:

Since we have given that

Annual salary of ABC company = $45000

Annual salary of XYZ company = $38000

Rate of commission = 2%

Amount of salary after commission at XYZ company would be

\dfrac{100+2}{100}\times 38000\\\\=\dfrac{102}{100}\times 38000\\\\=1.02\times 38000\\\\=38760

So, Difference between is given by

45000-38760\\\\=\$6240

Hence, Amount of sales s = $6240 is the salary at ABC company is greater than at XYZ company.

3 0
4 years ago
In the following diagram \overline{DE} \parallel \overline{FG}
zloy xaker [14]

Answer:

<x= 31°

Step-by-step explanation:

m<BCA= m<GCJ (vertical angles)

m<BCA= 59° (substitution)

Since line KL is perpendicular to line FG, the angle formed at point B is 90°.

Therefore, m<ABC=90°

m<BAC+m<ABC+m<BCA=180° (sum of triangle)

m<BAC+90°+59°=180° (substitution)

m<BAC+149°=180°

m<BAC=180°-149°

m<BAC=31°

<x=<BAC (vertical angles)

m<x=31° (substitution)

5 0
3 years ago
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