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
fiasKO [112]
3 years ago
15

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

so

z2=(10/3)2=100/9

You might be interested in
A bee flies at 10 feet per second directly to a flower bed from its hive. The bee stays at the flower bed for 13 minutes, and th
rosijanka [135]

Answer:

barbilat hahaha

baho bilat

7 0
2 years ago
Please help me solve this please
nlexa [21]

Answer:

2. (-3f)

3. (4f)

4. x - 11 (not sure if this one is correct)

Step-by-step explanation:

Move -3 to the left of f = -3f

Move 4 to the left of f = 4f

f(x)=x+11 f ( x ) = x + 11

8 0
2 years ago
Order the integers from least to greatest.<br><br><br><br> -7 2 6 -4 3
tangare [24]
-7, -4, 2, 3, 6.

Hoped I helped!
7 0
3 years ago
Read 2 more answers
A professor at a local community college noted that the grades of his students were normally distributed with a mean of 84 and a
creativ13 [48]

Answer:

A. P(x>91.71)=0.10, so the minimum grade is 91.71

B. P(x<72.24)=0.025 so the maximum grade could be 72.24

C. By rule of three, 200 students took the course

Step-by-step explanation:

The problem says that the grades are normally distributed with mean 84 and STD 6, and we are asked some probabilities. We can´t find those probabilities directly only knowing the mean and STD (In that distribution), At first we need to transfer our problem to a Standard Normal Distribution and there is where we find those probabilities. We can do this by a process called "normalize".

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

Where x,a are data from the original normal distribution, μ is the mean, σ is the STD and z,b are data in the Standard Normal Distribution.

There´s almost no tools to calculate probabilities in other normal distributions. My favorite tool to find probabilities in a Standard Normal Distribution is a chart (attached to this answer) that works like this:

P(x<c=a.bd)=(a.b , d)

Where "a.b" are the whole part and the first decimal of "c" and "d" the second decimal of "c", (a.b,d) are the coordinates of the result in the table, we will be using this to answer these questions. Notice the table only works with the probability under a value (P(z>b) is not directly shown by the chart)

A. We are asked for the minimum value needed to make an "A", in other words, which value "a" give us the following:

P(x>a)=0.10

Knowing that 10% of the students are above that grade "a"

What we are doing to solve it, as I said before, is to transfer information from a Standard Normal Distribution to the distribution we are talking about. We are going to look for a value "b" that gives us 0.10, and then we "normalize backwards".

P(x>b)=0.10

Thus the chart only works with probabilities UNDER a value, we need to use this property of probabilities to help us out:

P(x>b)=1 - P(x<b)=0.10

P(x<b)=0.9

And now, we are able to look "b" in the chart.

P(x<1.28)=0.8997

If we take b=1.285

P(x<1.285)≈0.9

Then

P(x>1.285)≈0.1

Now that we know the value that works in the Standard Normal Distribution, we "normalize backwards" as follows:

P(x<a) = P( (x-μ)/σ < (a-μ)/σ ) = P(z<b)

If we take b=(a+μ)/σ, then a=σb+μ.

a=6(1.285)+84

a=91.71

And because P(x<a)=P(z<b), we have P(x>a)=P(z>b), and our answer will be 91.71 because:

P(x>91.71) = 0.1

B. We use the same trick looking for a value in the Standard Normal Distribution that gives us the probability that we want and then we "normalize backwards"

The maximum score among the students who failed, would be the value that fills:

P(x<a)=0.025

because those who failed were the 2.5% and they were under the grade "a".

We look for a value that gives us:

P(z<b)=0.025 (in the Standard Normal Distribution)

P(z<-1.96)=0.025

And now, we do the same as before

a=bσ+μ

a=6(-1.96)+84

a=72.24

So, we conclude that the maximum grade is 72.24 because

P(x<72.24)=0.025

C. if 5 students did not pass the course, then (Total)2.5%=5

So we have:

2.5%⇒5

100%⇒?

?=5*100/2.5

?=200

There were 200 students taking that course

6 0
3 years ago
What is 35 mL equals
AlexFokin [52]
Equal to what ?? what are you trying to convert it to, please type the whole question so i can better answer your question.

8 0
3 years ago
Read 2 more answers
Other questions:
  • I need help to do this task I do not understand!☹️
    12·1 answer
  • Identify the like terms 3x,4y,4z,5x
    15·1 answer
  • 1 over 7 to the 3 power
    6·2 answers
  • Ellen drove 220 miles in 3.5hours. To the nearest tenth, find Ellen's average speed in miles per hours
    10·1 answer
  • Marco and Drew stacked boxes on a shell. Marco lifted 9 boxes and Drew lifted 14 boxes. The boxes that Drew lifted each weighed
    7·1 answer
  • Pam has 15 candies in her bag. Her mother puts another handful of candies into the bag. Pam counts all the candies and she now h
    12·2 answers
  • Your local clothing
    9·1 answer
  • Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
    14·2 answers
  • Solve the equation 3(2x+9)=30
    12·2 answers
  • Suppose a day from this city is selected at random. Let event A = heavy traffic and event B = bad weather. Are events A and B in
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!