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3 years ago

23 in. The perimeter of this quadrilateral is 100 in. What is the length of the side not given? 27 In. 32 in.

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

Solution:

The formula to find the perimeter of the quadrilateral = sum of the length of all the four sides.

Here the lengths of all the four sides are 5 cm, 7 cm, 9 cm and 11 cm.

Therefore, perimeter of quadrilateral = 5 cm + 7 cm + 9 cm + 11 cm

= 32 cm

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Is 3.674 equal to 6.764

lara31 [8.8K]

No 3.674 is not equal to 6.764

What is equality?

We say that two values, numbers , expression are equal if they have = sign in between them, Two value or number are said to be same if every digit from both the number is same and in same order. in other words if the difference between them is zero

We are given two numbers 3.674 and 6.764

We take the difference of them

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6.764- 3.674= 3.09

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2 years ago

The cost of Internet access. How much do users pay for Internet service? Here are the monthly fees (in dollars) paid by a random

Ivanshal [37]

Answer:

$20.9-2.01\frac{7.65}{\sqrt{50}}=18.73$

$20.9+2.01\frac{7.65}{\sqrt{50}}=23.07$

The 95% confidence interval would be given by (18.73;23.07)

Step-by-step explanation:

Assuming these data

20 40 22 22 21 21 20 10 20 20

20 13 18 50 20 18 15 8 22 25

22 10 20 22 22 21 15 23 30 12

9 20 40 22 29 19 15 20 20 20

20 15 19 21 14 22 21 35 20 22

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".

Solution to the problem

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

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

First we need to find the sample mean with the following formula:

$\bar X= \frac{\sum_{i=1}^n X_i}{50}=20.9$

And in order to find the sample standard deviation we can use the following formula:

$s= \sqrt{\frac{\sum_{i=1}^n (x_i -\bar x)^2}{n-1}}=7.65$

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

$df=n-1=50-1=49$

Since the Confidence is 0.95or 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(0.025,49)".And we see that $t_{\alpha/2}=2.01$