Find the volume of a pyramid with a square base, where the area of the base is

A circle is shown. Secants E G and D G intersect at point G outside of the circle. Secant E G intersects the circle at point F a

USPshnik [31]

Answer:

Step-by-step explanation:

The formula we need here is

$6(6+x)=5(5+x+3)$

which simplifies to

$6(6+x)=5(8+x)$

which simplifies to

36 + 6x = 40 + 5x and

x = 4

So DG = 5 + 4 + 3 which is 12

7 0

3 years ago

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A recent study asked U. S. Adults to name 10 historic events that occurred during their lifetime that have had the greatest impa

Nadusha1986 [10]

Using the z-distribution, as we are working with a proportion, it is found that the 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, the parameters are:

$z = 2.575, n = 2000, \pi = 0.77$

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7458$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 2.575\sqrt{\frac{0.77(0.23)}{2000}} = 0.7942$

The 99% confidence interval for the proportion of all U. S. Adults who would include the 9/11 attacks on their list of 10 historic events is (0.7458, 0.7942). It means that we are 99% sure that the true proportion for all U.S. adults is between these two bounds.

More can be learned about the z-distribution at brainly.com/question/25890103

7 0

2 years ago

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = -x2 + 16x – 44?

KatRina [158]

Answer:

Only option D is one of the transformations needed.

Step-by-step explanation:

The graph of f(x)=x^2 is a positive parabola with x=0 as the zero in ordinates and also 0 as a zero x. This is, the graph passes in (0,0) and this is the only point it crosses both axis, then for every x value we will gave a positive f(x).

Here I attach a graph that shows both, f(x)=x^2 and g(x)=-x^2+16x-44.

As you can see, for transforming f(x) in g(x) we need to reflect it over the x axis, as g is open downwards. Then, as the quadratic term is still being x^2 we do not wide it (as you see in the graph both curves are equally widened).

Then, we can also see that the graph is shifted right, so we do not shift it left 8 units (notice that we shift it right 8 units).

So, after reflecting over the x axis and shifting right we need to shift it UP, as we can see the graph is over the x axis.

So, the three transformations needed are:

1. reflect over the x axis

2. shift right 8 units

3. shift up 20 units.

So, from the options you proposed we chose only d, to which we MUST add the transformations noted above.

Sorry for the mistake!

8 0

2 years ago

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Hwong can fit 12 packets of coffee in a small box and 50 packets of coffee in a large box. He had 10 small boxes of coffee and w

nasty-shy [4]

Hwong could fill 12 packets of coffee in small boxes:

He has 10 boxes, so 10 x 12 = 120 packets total

Hwong's packets of coffee in the large boxes:

He can fit 50 packets into the boxes, so 120/50 = 2 large boxes and a remaining 20 packets of coffee

Therefore, Hwong can fit 12 packets of coffee to 1 small box and 8 packets to the other small box

5 0

3 years ago

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Suppose there are n people on a bus. At the next stop, 9 more people get on the bus. No one gets of the bus. Draw a bar diagram

nordsb [41]

Answer:

Algebaric Expression & Bar Diagram graphic representation of number of people in bus.

Step-by-step explanation:

No. of people on bus = n

After 9 more boarding & no one deboarding the bus , no. of people = n + 9

Bar diagrams is graphical method for presentation of data. Presenting the given in bar diagram :

7 0

2 years ago