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3 years ago

If ∠ABC and ∠DBF are vertical angles we can conclude...

Mathematics

1 answer:

Paraphin [41]3 years ago

6 0

Answer:

We can conclude they are congruent

Step-by-step explanation:

Because of the vertical angles theorem

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A 13 meter long cylinder with a diameter of 8 meters has a square prism with a base length of 3 meters hole going all the way th

BartSMP [9]

The volume of the solid is 626.12m³

<h3>Volume of composite solids.</h3>

The volume of the given composite solid = volume of cylinder - volume of cube

The volume of cylinder Vc = πr²h

Vc = 3.14(8/2)²(13)

Vc = 3.14(16)(13)

Vc = 653.12 m³

Similarly the volume of the cube:

Volume of cube = 3³

Volume of cube = 27 m³

Volume of the solid = 626.12m³

Hence the volume of the solid is 626.12m³

Learn more on volume of composite solid here; brainly.com/question/9076728

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3 years ago

Nielsen ratings are based on televisions in 50005000 households. Nielsen estimates that 12 comma 00012,000 people live in these

avanturin [10]

Answer:

We are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%

Step-by-step explanation:

-From the given information, $\hat p=0.65$ .

-We calculate the confidence interval using this value at 95% confidence level:

$CI=\hat p\pm z \sqrt{\frac{\hat p(1-\hat p)}{n}}\\\\\\=0.65\pm 1.96\times \sqrt{\frac{0.65\times 0.35}{12000}}\\\\\\=0.65\pm 0.0085\\\\\\=[0.6415,0.6585]$

So, the 95% confidence interval is (0.6515,0.6585).

Hence, we are 95% confident that the true proportion of TV audience is between 65.15% and 65.85%.

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3 years ago

If two cards are randomly chosen from a standard deck, what is the probability that a 6 is chosen, replaced, and another 6 is ch

lord [1]

$|\Omega|=52^2=2704\\ |A|=4^2=16\\\\ P(A)=\dfrac{16}{2704}\Rightarrow{\text{B}}$

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3 years ago

Each set of directions describes how to plot a point starting at the origin.

Sergio039 [100]

Answer:

right 6

down 1

(6,-1)

up 6

left 1

(-1,6)

right 1

down 6

(1,-6)

down 6

right 1

(1,-6)

left 1

up 6

(-1,6)

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3 years ago

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Korolek [52]

I don’t know sorry but like how’s yoonbum doing? Also like wanna be friends?

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3 years ago