The answer to this question is A.
We have been given that a set of art exam scores are normally distributed with a mean of 81 points and a standard deviation of 10 points. Kamil got a score of 78 points on the exam. We are asked to find the proportion of exam scores that are lower than Kamil's score.
First of all, we will find z-score corresponding to 78.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we will use normal distribution table to find the probability under a z-score of that is .
Upon rounding to 4 decimal places, we will get:
Therefore, of exam scores are lower than Kamil's score.
Answer:
Three cubes
Step-by-step explanation:
Lets first write down what we know.
<em>The dimensions of the pyramid are a base of 6cm and a height of 10cm.</em>
<em>The cubes are 2cm by 2cm by 2cm.</em>
<em>We need to find the volume of both to solve.</em>
First, lets solve for the volume of the pyramid. The equation is <u>Volume=base*height/3</u>
Lets put in the values we know.
volume=6*10/3
Multiply.
volume=60/3
Divide.
volume=20cm
Now that we know the volume of the pyramid is 20cm, all we have to do is find the volume of the cubes, and then divide 20cm by their volume.
To find the volume of the cubes, we just need to multiply length, width, and height together.
2cm*2cm*2cm=8cm
Now divide 20cm by 8cm.
20/8=2.5 rounding up to 3.
<em>Devin will need to melt 3 cubes to fill the square pyramid.</em>
Hope this helps!
Answer:
The equation use to find the value of R is .
Step-by-step explanation:
Given:
Total Number of flowers = 110
Number of orange flowers = 55
Let the number of red flowers be represented by 'R'
We need to find the equation used to find the value of R.
Solution:
Now we know that;
Total Number of flowers is equal to sum of Number of orange flowers and Number of red flowers.
representing in equation form we get;
Hence The equation use to find the value of R is .
On Solving the above equation we get;
We will subtract both side by 55 using Subtraction property of equality.
Hence There are 55 red flowers in the garden.
To answer this item, I assume that it is compounded yearly such that the amount of interest (I) from the given present worth (P), interest rate (i) and the number of years (n) is calculated through the equation,
I = P x (1 + i)^n - P
Substituting,
I = ($55) x (1 + 0.04)^5 - $55
I = 11.91
The answer is nearest to the first choice, $11.