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3 years ago

Determine if the statement is always, sometimes, or never true:

Mathematics

2 answers:

andrezito [222]3 years ago

7 0

The answer is: "never".
_____________________________

MissTica3 years ago

6 0

Answer:

never

Step-by-step explanation:

To Find :An equilateral triangle is a right triangle.

1. always

2.sometimes

3.never

Solution :

Definition of equilateral triangles: a triangle having all sides equal in length

Since all sides are equal so by property of triangle (angle opposite to equal sides are equal ) so, all angles are equal .

If equilateral triangle is right angle then one of its angle is of 90°

And in equilatera triangle all angles are equal so all angles must be of 90°

We know that triangle sum property is : Sum of all angles of triangle is equal to 180°

So, 90°+90°+ 90° =180°

⇒270°≠180°

since this violates the angle sum property of triangle .

Thus an equilateral triangle can never be a right triangle

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In a 2008 survey, people were asked their opinions on astrology— whether it was very scientific, somewhat scientific, or not at

crimeas [40]

Answer:

95% Confidence interval: (0.0415,0.0647)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1430

Number of people who responded that astrology was very scientific, x = 76

$\hat{p} = \dfrac{x}{n} = \dfrac{76}{1430} = 0.0531$

95% Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting the values, we get:

$0.0531\pm 1.96(\sqrt{\dfrac{0.0531(1-0.0531)}{1430}})\\\\ = 0.0531\pm 0.0116\\=(0.0415,0.0647)$

95% confidence interval for the population portion with this belief: (0.0415,0.0647)

7 0

3 years ago

How do u do mean median range

liq [111]

Mean: Add up all of the values then divide by the number of values
Ex. 3+5+2 = 10 divided by three

3 0

4 years ago

Read 2 more answers

When using substitution method to solve the following system of equations, what is the result of the first step ? x +2y=5 y=6x+3

steposvetlana [31]

Answer:

x=3

Step-by-step explanation:

Sub y=x-1 into 2x+y=8.

You will get 2x+x-1=8.

Simplify 3x-1=8

Solve 3x=9

x=3

6 0

3 years ago

Read 2 more answers

What is the vertex of the function x2 - 6x + 8 = 0?

RUDIKE [14]

<u>Answer: </u>

The vertex of the function $\bold{x^{2} -6 x + 8 = 0}$ is (h,k) = (3 , -1)

<u>Solution: </u>

The vertex form of quadratic equation is generally given as,

$f(x) = a(x - h)^{2} + k$

Where h,k is the vertex of the parabola.

From question, given that $x^{2}-6 x+8=0$ .

we have to find the vertex of the function.

Let us first convert the given quadratic equation to vertex form (eqn 1)

$x^{2}-6 x+8=0$

$x^{2}-6 x=-8$

By adding “9” on both sides of equation, we get

$x^{2}-6 x+9=-8+9$

$x^{2}-6 x+9=1$

By using the identity $(a-b)^{2}=a^{2}-2 a b+b^{2}$ ,the right hand side of above equation becomes,

$(x-3)^{2}=1$

$(x-3)^{2}-1=0$

Now,the equation $(x-3)^{2}-1=0$ is of the vertex form.

By comparing $(x-3)^{2}-1=0$ with $a(x-h)^{2}+k$

we get the values of (h,k)

a = 1; h = 3; k = -1

hence the vertex of the function $x^{2}-6 x+8=0$ is (h,k) = (3 , -1)

5 0

3 years ago

Perform the indicated operation and express the result as a simplified complex number. I need help with 35

skelet666 [1.2K]

Given:-

$\frac{3+4i}{2-i}$

To find:-

The simplified form.

At first we take conjucate and multiply below and above.

The conjucate is,

$2+i$

So now we multiply. we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}$

Now we simplify. so we get,

$\frac{3+4i}{2-i}\times\frac{2+i}{2+i}=\frac{6+3i+8i+4(i)^2}{2^2-i^2}$

We know the value of,

$i^2=-1$

Substituting the value -1. we get,

$\begin{gathered} \frac{6+3i+8i+4(i)^2}{2^2-i^2}=\frac{6+3i+8i+4(-1)_{}^{}}{2^2-(-1)^{}} \\ \text{ =}\frac{6-4+11i}{2+1} \\ \text{ =}\frac{2+11i}{3} \end{gathered}$

So now we split the term to bring it into the form a+ib. so we get,

$\frac{2+11i}{3}=\frac{2}{3}+i\frac{11}{3}$

So the required solution is,

$\frac{2}{3}+i\frac{11}{3}$

3 0

1 year ago