1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nikolay [14]
2 years ago
12

I need help please and thank you

Mathematics
2 answers:
sertanlavr [38]2 years ago
6 0
Corresponding parts of similar triangles are proportional. The area of a triangle is 1/2bh. So DEF’s height is.

6 = 0.5(4h)
12 = 4h
h = 3

We know, therefore, that the ratio of ABC to DEF’s dimensions is 12:4, 3:1. With this, we can deduce that ABC’s height is 9 ( 3 x 3), so ABC’s area is:

0.5(12 x 9) = 54 sq ft
Brums [2.3K]2 years ago
5 0

Well I THINK triangle ABC is just a stretched out version of triangle DEF.

To find the area of a triangle, you multiply base and height, and divide by 2.

Area of DEF is 6, so that means that (4 * x)/2 = 6.

6*2 = 12....

4 * x = 12........

4 * 3 = 12.

x = 3.

Comparing DEF to ABC: ABC's base is 3 times as long as DEF's. So that means the height must be three times as long.

3*3 = 9.

(12 * 9)/2 =54

You might be interested in
What are the three methods used to identify sample spaces?
Ira Lisetskai [31]
I'm not sure what you're asking but i think it can be this 

Numbers
Colors
Probability

Hope this helps :)

5 0
3 years ago
Read 2 more answers
What is the main piece of computer software on which every other piece of software relies?
andrew-mc [135]
The main piece of computer software on which every other piece of software relies is referred to as the "operating system". It is responsible for all the major channels of communication between the software and the hardware. 
6 0
3 years ago
When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let
vladimir1956 [14]

Answer:

a) P(X ≤ 2) = 0.87

b)  P(X ≥ 5) = 0.01

c) P(1 ≤ X ≤ 4) = 0.71

d) P ( X = 0 ) = 0.28

e) σ(X) = 1.09 , E(X) = 1.25

Step-by-step explanation:

Given:

- Let X = the number of defective boards in a random sample of size n = 25, so X ~ Bin(25, 0.05)

Where, n = 25 and p = 0.05

Find:

(a) Determine P(X ≤ 2).(b) Determine P(X ≥ 5).(c) Determine P(1 ≤ X ≤ 4).(d) What is the probability that none of the 25 boards is defective?(e) Calculate the expected value and standard deviation of X.

Solution:

- The probability mass function for a binomial distribution is given by:

                         P ( X = x ) = nCr * (p)^r * ( 1 - p )^(n-r)

a) P(X ≤ 2):

                         P(X ≤ 2) = P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 )

                         = (0.95)^25 + 25*0.05*0.95^24 + 25C2*0.05^2*0.95^23

                         = 0.87

b) P(X ≥ 5):

            P(X ≥ 5) = 1 - [P ( X = 0 ) + P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = 1 - [ 0.87 + 25C3*0.05^3*0.95^22 + 25C4*0.05^4*0.95^21]

            = 1 - 0.98994

            = 0.01

c) P(1 ≤ X ≤ 4):

            P(1 ≤ X ≤ 4) = P ( X = 1 ) + P ( X = 2 ) + P ( X = 3 ) + P(X=4)

            = ( 0.87 - 0.95^25) + 0.11994

           = 0.71

d) P( X = 0 )

            P ( X = 0 ) = 0.95^25 = 0.28

e) E(X) & σ(X):

            E(X) = n*p

            E(X) = 25*0.05 = 1.25

            σ(X) = sqrt ( Var (X) )

            σ(X) = sqrt ( n*p*(1-p) ) = sqrt ( 25*0.05*0.95 )

            σ(X) = 1.09

4 0
2 years ago
Calculate the mean, the variance, and the standard deviation of the following discrete probability distribution. (Negative value
asambeis [7]
<h2>Answer:</h2>

Mean = 24.47

Variance = 108.31

Standard deviation = 10.41

<h2>Step-by-step explanation:</h2>

The probability distribution table has been attached to this response.

<em>(1) To calculate the mean (m)</em>

(a) First multiply each of the values of x by their corresponding probability values.

This is shown in the third column of the table.

(b) The sum of the results in the third column gives the mean of the distribution. i.e

m = ∑xP(x) = 11.52 + 9.36 + 3.15 + 0.44

m = 24.47

<em>(2) To calculate the variance </em> <em>(σ²).</em>

(a) First find the square of the difference between the values of x and the mean (m) calculated in (1b) above. i.e

(x - m)²

The result is shown in the fourth column of the table.

(b) Next, multiply each of the results in the fourth column (x - m)², by their corresponding probability values P(X = x). i.e

(x - m)²(P(X = x))

The result is shown in the fifth column of the table.

(c) Now find the variance (σ²) which is the sum of the results in the fifth column. i.e

σ² = ∑(x - m)²(P(X = x)) = 42.5411 + 0.8427 + 18.8330 + 46.0923

σ² = 108.3091

σ² = 108.31      [to 2 decimal places]

<em>(3) To calculate the standard deviation (σ)</em>

The standard deviation is the square root of the variance of the distribution. Calculate this by finding the square root of the result in (2c) above.

σ = √σ²

σ = \sqrt{108.31}

σ = 10.4072

σ = 10.41        [to 2 decimal places]

3 0
2 years ago
Work out the value of x
zalisa [80]

Answer:

x = 67.5°

Step-by-step explanation:

A circle's angles add up to 360°

So,

x+3x+90 = 360

4x+90 = 360

4x = 360-90

4x = 270

Dividing both sides by 4

x = 67.5°

3 0
3 years ago
Other questions:
  • You start an account with $500 and an interest rate of 6% compounded yearly. How much is in the account after 3 years?
    9·1 answer
  • Write the expression in factored form. m^4 - n^2
    13·2 answers
  • 3 distance questions:
    8·1 answer
  • Round 425 feet in hours
    13·2 answers
  • The diagram shows the length and width of a laptop, and the length of a larger version of the same brand of a smaller laptop.
    5·1 answer
  • I need help on Section 5- Topic 10 Algebra Nation, Algebra 1 Practice book. If anyone could give me answers to the questions, I
    12·1 answer
  • Find the value of x in the triangle shown below.
    5·1 answer
  • Milo drove 9 kilometres from his house to Speedville. Speedville is 15 kilometres west of River City. From Speedville, Milo drov
    8·1 answer
  • What is the product?
    10·1 answer
  • If I turned 9 on November 9th, 2015, exactly how old am I now? (Oct 16th, 2021)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!