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
Grace [21]
3 years ago
15

Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest c

ircle that fits on one of the coasters?​
Mathematics
1 answer:
Brilliant_brown [7]3 years ago
4 0

Answer:

2.25π square inches [or 7.07 sq. in. rounded to 2 decimal places]

Step-by-step explanation:

The largest circle inscribed in a square would have DIAMETER EQUAL TO THE SIDE LENGTH OF THE SQUARE.

Since diameter is double of radius, we can find the radius to be:

diameter = 3 [side length of square]

radius = 3/2 = 1.5 inches

The area of a circle is  πr^2

THus, the largest circle area = πr^2 = π(1.5)^2 = π(2.25) = 2.25π square inches

You might be interested in
A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed
tresset_1 [31]

Answer:

a) z= \frac{34-34}{2.5}= 0

z= \frac{39-34}{2.5}= 2

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) P(X

z= \frac{31.5-34}{2.5}= -1

So one deviation below the mean we have: (100-68)/2 = 16%

c) z= \frac{29-34}{2.5}= -2

z= \frac{36.5-34}{2.5}= 1

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

X \sim N(\mu = 34, \sigma=2.5)

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

P(34 < X

We can find the number of deviation from the mean with the z score formula:

z= \frac{X -\mu}{\sigma}

And replacing we got

z= \frac{34-34}{2.5}= 0

z= \frac{39-34}{2.5}= 2

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

P(X

z= \frac{31.5-34}{2.5}= -1

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

P(29 < X

And replacing we got:

z= \frac{29-34}{2.5}= -2

z= \frac{36.5-34}{2.5}= 1

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0
3 years ago
(PLEASE HELP ASAP I REALLY DON’T UNDERSTAND THIS PLEASE EXPLAIN)
Firdavs [7]

Answer:

Intergers

Step-by-step explanation:

A subset is a part of a whole math concept, idea, or sample space.

We need to find what math concept -5 is apart of.

-5 is part of the All Real Numbers section.

-5 is also part of integers as well.

4 0
3 years ago
Help Don't understand everything is wrong on here that I did
Alika [10]

i have know clue what it is

8 0
3 years ago
Ahmed made a fruit smoothie in his blender, shown below. He gave 320 milliliters of the smoothie to his brother. How much smooth
navik [9.2K]

625 ml is the amount of smoothie is left for Ahmed to drink.

According to the statement

we have given that the

Ahmed made a 625 ml fruit smoothie in his blender and out of this he gave

320 milliliters of the smoothie to his brother and we have to find that the

How much smoothie is left for Ahmed.

So, For this purpose,

The total smoothie = 625 ml

Smoothie he gave to his brother = 320 ml

Now, we have to find the Amount of smoothie left for ahmed.

So, Smoothie left for ahmed = 625 ml - 320 ml

Smoothie left for ahmed = 305 ml

So, 625 ml is the amount of smoothie is left for Ahmed to drink.

Learn more about Left amount here brainly.com/question/11408596

Disclaimer: This question was incomplete. Please find the full content below.

Question:

Ahmed made a fruit smoothie in his blender, shown below. He gave 320 milliliters of the smoothie to his brother. How much smoothie is left for Ahmed to drink? check the image below.

#SPJ1

5 0
1 year ago
2. What is the relative frequency of a student choosing the aquarium? Give your
Andreyy89

Answer:

What is the relative frequency of a student choosing the aquarium? Give your

answer as a decimal rounded to the nearest hundredth. (The hundreths place is two

decimal places. For example, .9543 would be rounded to .95)

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Please answer this correctly I want genius expert or ace people to answer this correctly as soon as possible as my work is due t
    15·1 answer
  • 70% of what number is 21 and how do you do it
    11·2 answers
  • Guys I need this ASAP I NEED the exact answer in terms of n/pi. I also need to use n/pi=22/7 and express the answer as a fractio
    15·1 answer
  • What algebraic property is demonstrated in the equation below?<br> 5(8x-4) - 10= 40x-20 -10
    5·2 answers
  • A parabola is defined by the equation x2 = y. In which direction will the parabola open?
    15·2 answers
  • In which pair do both decimals represent rational numbers?
    15·1 answer
  • If the store currently charges a price of $50, then increases that price to $60, what happens to total revenue from shoe sales (
    11·1 answer
  • I dont know, help me please
    9·1 answer
  • Solve the equation 14y+82=6x-20 for x if y is 25
    12·1 answer
  • Find the surface area of the pyramid.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!