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3 years ago

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Triangle DFE with coordinates D(0,0), F(3,0), and, E(3,1) is similar to triangle EHG. If vertex G has coordinates (9,3), what ar

e the coordinates of vertex H?

1 answer:

Rudik [331]3 years ago

8 0

Answer:

coordinates are (x,y)->(x+6,y+2)

F's coordinate is (3,0)

using the coordinates we get (9,2)

Therefore the coordinates are (9,2)

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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

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

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books sh

kari74 [83]

Answer:

73

Step-by-step explanation:

you write 12 instead of b

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3 years ago

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Which pair or pairs of polygons are congruent?

nlexa [21]

I believe tye answer is C

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How do you determine what side of the triangle is the hypotenuse?

sergij07 [2.7K]

The hypotenuse is always the longest side and it is the side that is opposite the right angle.

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3 years ago

So in numeric form what is 700,000+40,000+9000+200 and +50

WARRIOR [948]

Answer: 749,250

Step-by-step explanation:

700,000 + 40,000= 740,000.

9,000+200+50= 9,250.

740,000 + 9,250 = 740,250.

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3 years ago

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