Is the number 4.333..... rational or irrational?

Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.

laila [671]

I think it would be the 3rd one if not im sorry i tried

5 0

3 years ago

Read 2 more answers

A machine has four components, A, B, C, and D, set up in such a manner that all four parts must work for the machine to work pro

olchik [2.2K]

Answer:

0.756

Step-by-step explanation:

It is given that a machine has four components, A, B, C, and D.

$P(A)=P(B)=0.93, P(C)=0.95,P(D)=0.92$

If these components set up in such a manner that all four parts must work for the machine to work properly.

We need to find the probability that the machine works properly. It means we have to find the value of $P(A\cap B\cap C\cap D)$ .

If two events X and Y are independent, then

$P(X\cap Y)=P(X)\times P(Y)$

Assume the probability of one part working does not depend on the functionality of any of the other parts.

$P(A\cap B\cap C\cap D)=P(A)\times P(B)\times P(C)\times P(D)$

Substitute the given values.

$P(A\cap B\cap C\cap D)=0.93\times 0.93\times 0.95\times 0.92$

$P(A\cap B\cap C\cap D)=0.7559226$

$P(A\cap B\cap C\cap D)\approx 0.756$

Therefore, the probability that the machine works properly is 0.756.

7 0

2 years ago

Which shape has a line of symmetry that can be drawn through the figure?

zimovet [89]

Answer: Option D.

Step-by-step explanation:

A figure has a line of symmetry if we can draw a line through the figure, in such way that the line cuts the figure in exactly two equal halves.

Then any figure that can be cutin exactly two halves, is a correct answer to this question.

Then:

For a circle, the line of symmetry is the diameter of the circle.

For the square, the line of symmetry can be obtained by cutting the square with a line that is perpendicular to one of the sides, and cuts that side exactly on the midpoint.

For an equilateral triangle, the line of symmetry is the line that cuts any base in the midpoint and also passes through the opposite vertex.

Then all the figures are correct options, then the correct option is D

7 0

3 years ago

Which of the following pairs of triangles can be proven similar through SSS similarity?

Yakvenalex [24]

Based on the SSS similarity theorem, the pair of triangles that can be proven to be similar is the pair shown in the image attached below.

<h3>What is the SSS Similarity Theorem?</h3>

The SSS similarity theorem states that two triangle area similar to each other if the ratio of the three corresponding sides of both triangles are equal.

Thus, in the image attached below, the ratio of the three corresponding sides of the pair of triangles are:

10/2.5 = 11/2.75 = 8/2 = 4

Therefore, the pair of triangles that we can prove to be similar using the SSS similarity theorem is the pair shown in the image attached below.

Learn more about the SSS similarity theorem on:

brainly.com/question/4163594

#SPJ1

5 0

1 year ago

Ellie ordered boxes of short envelopes and boxes of long

Naily [24]

1200 I hope this helps

8 0

2 years ago