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2 years ago

12

75% of students in a statistics class said that they liked statistics more than algebra. if 3 of these students are randomly sel

ected, what is the probability that all 3 students said that they liked statistics more than algebra?

1 answer:

krek1111 [17]2 years ago

4 0

I percieve this as a trick question. The probability is 100% because if the 3 randomly selected students pertain to the group of students who like statistics better than algebra, then obviously, they are all going to say they like stats better than algerbra.

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Explain why any rotation can be described by an angle between 0 degrees and 360 degrees

Oksanka [162]

Because if you rotate an object 360 degrees it’s like the object never moved because the object would still be in the same spot as if you didn’t move it

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3 years ago

A flying squirrel lives in a nest that is 9 meters high in a tree. To reach a fallen acorn that is 4 meters from the base of the

Luba_88 [7]

Answer:

Flying squirrel have to glide is for 9.8 meters approximately.

Step-by-step explanation:

Here we can use Pythagoras theorem.

Height is 9 , base is 4.

We need to find the hypotenuse measure.

So, let's use Pythagoras theorem $a^{2} +b^{2}= c^{2}$

Plug in a as 9 and b 4.

$9^{2} +4^{2}=c^{2}$

Simplify the left side of the equation

$81+16=c^{2}$

$97=c^{2}$

Take square root on both sides.

c=9.8 meters.

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2 years ago

In the given figure △ABC ≅△DEC. Which of the following relations can be proven using CPCTC ?

Serhud [2]

Option B:

$\overline{A B}=\overline{D E}$

Solution:

In the given figure $\triangle A B C \cong \triangle D E C$ .

If two triangles are similar, then their corresponding sides and angles are equal.

By CPCTC, in $\triangle A B C \ \text{and}\ \triangle D E C$ ,

$\overline{AB }=\overline{DE}$ – – – – (1)

$\overline{B C}=\overline{EC}$ – – – – (2)

$\overline{ CA}=\overline{CD}$ – – – – (3)

$\angle ACB=\angle DCE$ – – – – (4)

$\angle ABC=\angle DEC$ – – – – (5)

$\angle BAC=\angle EDC$ – – – – (6)

Option A: $\overline{B C}=\overline{D C}$

By CPCTC proved in equation (2) $\overline{B C}=\overline{EC}$ .

Therefore $\overline{B C}\neq \overline{D C}$ . Option A is false.

Option B: $\overline{A B}=\overline{D E}$

By CPCTC proved in equation (1) $\overline{AB }=\overline{DE}$ .

Therefore Option B is true.

Option C: $\angle A C B=\angle D E C$

By CPCTC proved in equation (4) $\angle ACB=\angle DCE$ .

Therefore $\angle A C B\neq \angle D E C$ . Option C is false.

Option D: $\angle A B C=\angle E D C$

By CPCTC proved in equation (5) $\angle ABC=\angle DEC$ .

Therefore $\angle A B C\neq \angle E D C$ . Option D is false.

Hence Option B is the correct answer.

$\Rightarrow\overline{A B}=\overline{D E}$

5 0

3 years ago

Yogi is 6 years older than Michelle. The sum of their ages is 26. Write a system of linear equations to represent this informati

postnew [5]

Answer:

10 and 16, x+(x+6)=26

Step-by-step explanation:

Michelle has an age we don't know, so we put her age as x.

Yogi is 6 years older than her, so her age is x+6

Michelle=x

Yogi=x+6

we know both their ages equal 26. so we set it up as

x+(x+6)=26

combining like terms we get

2x+6=26

subtract 6 from both sides

2x=20

divide both sides by 2

x=10

now that we have the value for x, we plug it into their original ages

Michelle is 10, because her age is just x.

Yogi is 16, because her age is x+6

8 0

2 years ago

2. Which of these are solutions to the equation 2x3 = 54?

cricket20 [7]

The answer is C. x=3 2(3)^3=54

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2 years ago

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