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andreev551 [17]
2 years ago
10

2. A triangle has sides of lengths 15, 23, and 28. Is it a right triangle? Explain.

Mathematics
1 answer:
Gelneren [198K]2 years ago
6 0

Answer:

Step-by-step explanation:

A question on a math quiz asks, "What is 175% of 72?" Petra calculates 12.6 as the answer. Is this a reasonable answer? Explain

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An automobile club reported that the average price of regular gasoline in a certain state was ​$2.61 per gallon. The following d
laila [671]

Answer:

2.618-2.98\frac{0.078}{\sqrt{15}}=2.56    

2.618+2.98\frac{0.078}{\sqrt{15}}=2.68    

So on this case the 99% confidence interval would be given by (2.56;2.68)

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  

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)

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)  

The mean calculated for this case is \bar X=2.618

The sample deviation calculated s=0.078

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

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):

2.618-2.98\frac{0.078}{\sqrt{15}}=2.56    

2.618+2.98\frac{0.078}{\sqrt{15}}=2.68    

So on this case the 99% confidence interval would be given by (2.56;2.68)    

5 0
3 years ago
It costs $1.08 to buy 3 green marbles. If the marbles all have the same price, how much
Naily [24]

Answer:

0.36$

Step-by-step explanation:

1.03/ 3 marbles = 0.36$ per marble.

6 0
3 years ago
Read 2 more answers
{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Degger [83]

Answer:

\displaystyle [-2, 7]

Step-by-step explanation:

You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:

\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.

{½[4x + 2y = 6]

{−2x + 2y = 18

>> \displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7

Plug this back into the system to get the x-value of \displaystyle -2.

I am joyous to assist you at any time.

4 0
2 years ago
the sum of three consecutive odd integers is less than 54. what is the set of the largest three consecutive odd integers that fi
Mandarinka [93]
The largest of the three would be 53, then 51, then 49.
6 0
3 years ago
Read 2 more answers
|z - 1| = 7z - 13 solve this equation and check for extraneous solutions
Tema [17]

|z - 1|  = 7z - 13
either:
z - 1 = 7z - 13
and in that case:
- 1 + 13 = 7z - z
12 = 6z
z = 12 \div 6 = 2
or:
z - 1 =  - 7z + 13
and in that case
z + 7z = 13 + 1
8z = 14
z = 14 \times 8 = 1.75
So; the answer is: either 2 or 1.75
8 0
3 years ago
Read 2 more answers
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