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FromTheMoon [43]
3 years ago
9

(02.05 MC) Determine if the two figures are congruent and explain your answer. (10 points)

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

They are congruent

Step-by-step explanation:

All of the sides and the angles are the same and it is just a rotation.

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A weighted coin that comes up heads with probability 0.6 is flipped n times. find the probability that the total number of heads
malfutka [58]
Im pretty sure you don't need help with this.this is from a week ago
5 0
4 years ago
When consumers apply for credit, their credit is rated using FICO (Fair, Isaac, and Company) scores. Credit ratings are given be
Flura [38]

Answer:

a) The 99% confidence interval would be given by (589.588;731.038)

b) If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

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".

The data is:

661 595 548 730 791 678 672 491 492 583 762 624 769 729 734 706

Part a

Compute the sample mean and sample standard deviation.  

In order to calculate the mean and the sample deviation we need to have on mind the following formulas:  

\bar X= \sum_{i=1}^n \frac{x_i}{n}  

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

=AVERAGE(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

On this case the average is \bar X= 660.313

=STDEV.S(661, 595, 548, 730, 791, 678, 672, 491 ,492, 583, 762 ,624 ,769, 729, 734, 706)

The sample standard deviation obtained was s=95.898

Find the critical value t* Use the formula for a CI to find upper and lower endpoints

In order to find the critical value we need to take in count that our sample size n =16<30 and on this case we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. The degrees of freedom are given by:

df=n-1=16-1=15

We can find the critical values in excel using the following formulas:

"=T.INV(0.005,15)" for t_{\alpha/2}=-2.95

"=T.INV(1-0.005,15)" for t_{1-\alpha/2}=2.95

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}  

And if we find the limits we got:

660.313- 2.95\frac{95.898}{\sqrt{16}}=589.588  

[tex]660.313+ 2.95\frac{95.898}{\sqrt{16}}=731.038/tex]  

So the 99% confidence interval would be given by (589.588;731.038)

Part b

If we see the confidence interval the 620 is included on the interval we don't have enough evidence to reject the rating is 620. But since we need a score that at least 620 and our lower limit is 589.588 we cant conclude that all the clients would have a score that at least of 620.  

4 0
3 years ago
Solve the equation 3 - 2x = 9<br><br> a) x = 3<br> b)x = -3<br> c) x = 6<br> d) x = -6
Elza [17]

Answer:

<h2><em>X=</em><em>-</em><em>3</em></h2>

<em>Option </em><em>B </em><em>is </em><em>correct </em><em>.</em><em>.</em><em>.</em>

<em>solution \\ 3 - 2x = 9 \\ or \:  - 2x = 9 - 3 \\ or \:  - 2x = 6 \\ or \: x =  \frac{6}{ - 2}  \\ x =  - 3</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em>

3 0
3 years ago
Read 2 more answers
Jerry's motorcycle tank holds 6gallons of gas. There are 3 gallons of gas currently in the tank. How much more gasoline will
ioda

Answer:

It takes 3 more gallons to fill the tank.

Step-by-step explanation:

6-3=3

4 0
3 years ago
A map has a scale of 4 inches: 25 miles how far are two cities if they are 120 miles apart
IrinaK [193]

Answer: 19.2 inches

Step-by-step explanation:

Make a proportion:

4/25 = x/120

cross multiply

480 = 25x

Divide both sides by 25

X= 19.2

4 0
3 years ago
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