The grid you see below is in the shape of angle What is the area, in square units of the shaded part?

Reports on a student's ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum

Nimfa-mama [501]

Answer:

The percentile for William is 76.97.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Let X the random variable that represent the scors of a population, and for this case we know the distribution for X is given by:

$X \sim N(25.2,6.5)$

Where $\mu=25.2$ and $\sigma=6.5$

2) Solution to the problem

We are interested in find the percentile for the score of 30 obtained by William. The best way to solve this problem is using the z score formula given by:

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

And z follows a normal standard distribution. We can find the z scor for the score X=30 like this:

$z=\frac{30-25.2}{6.5}=0.738$

And now we can find the probability using excel or a table, on this way:

$P(Z$

And that means the 76.97 percentile since we have on the left of the score of 30, 0.7697 of the area on the left and 0.2303 of the area on the right.

So then the percentile for William is 76.97.

6 0

3 years ago

Suppose you go shopping for a new futon bed for your apartment/home. The model you really like happens to be on sale for $500. I

rodikova [14]

The answer will be 60 percent

8 0

3 years ago

What number x makes the equation 8 to the power of x = 2 correct?

Daniel [21]

A linear equation in one variable has a single unknown quantity called a variable represented by a letter. Eg: ‘x’, where ‘x’ is always to the power of 1. This means there is no ‘ x² ’ or ‘ x³ ’ in the equation.The process of finding out the variable value that makes the equation true is called ‘solving’ the equation.An equation is a statement that two quantities are equivalent.For example, this linear equation: x + 1 = 4 means that when we add 1 to the unknown value, ‘x’, the answer is equal to 4.To solve linear equations, you add, subtract, multiply and divide both sides of the equation by numbers and variables, so that you end up with a single variable on one side and a single number on the other side. As long as you always do the same thing to BOTH sides of the equation, and do the operations in the correct order, you will get to the solution.For this example, we only need to subtract 1 from both sides of the equation in order to isolate 'x' and solve the equation:x + 1 - 1 = 4 - 1Now simplifying both sides we have:x + 0 = 3So:x = 3With some practice you will easily recognise what operations are required to solve an equation.Here are possible ways of solving a variety of linear equation types.Example 1, Solve for ‘x’ :x + 1 = -31. Subtract 1 from both sides:x + 1 - 1 = -3 - 12. Simplify both sides:x = -4Example 2, Solve for ‘x’ :-2x = 121. Divide both sides by -2:2. Simplify both sides:x = -6Example 3, Solve for ‘x’ :1. Multiply both sides by 3:2. Simplify both sides:x = -6Example 4, Solve for ‘x’ :2x + 1 = -171. Subtract 1 from both sides:2x + 1 - 1 = -17 - 12. Simplify both sides:2x = -183. Divide both sides by 2:4. Simplify both sides:x = -9Example 5, Solve for ‘x’ :1. Multiply both sides by 9:2. Simplify both sides:3x = 363. Divide both sides by 3:4. Simplify both sides:x = 12Example 6, Solve for ‘x’ : 1. Multiply both sides by 3: 2. Simplify both sides: x + 1 = 21 3. Subtract 1 from both sides: x + 1 - 1 = 21 - 1 4. Simplify both sides:x = 20Example 7, Solve for ‘x’ :7(x - 1) = 211. Divide both sides by 7:2. Simplify both sides:x - 1 = 33. Add 1 to both sides:x - 1 + 1 = 3 + 14. Simplify both sides:x = 4Example 8, Solve for ‘x’ :1. Multiply both sides by 5:2. Simplify both sides:3(x - 1) = 303. Divide both sides by 3:4. Simplify both sides:x - 1 = 105. Add 1 to both sides:x - 1 + 1 = 10 + 16. Simplify both sides:x = 11Example 9, Solve for ‘x’ :5x + 2 = 2x + 171. Subtract 2x from both sides:5x + 2 - 2x = 2x + 17 - 2x2. Simplify both sides:3x + 2 = 173. Subtract 2 from both sides:3x + 2 - 2 = 17 - 24. Simplify both sides:3x = 155. Divide both sides by 3:6. Simplify both sides:x = 5Example 10, Solve for ‘x’ :5(x - 4) = 3x + 21. Expand brackets:5x - 20 = 3x + 22. Subtract 3x from both sides:5x - 20 - 3x = 3x + 2 - 3x3. Simplify both sides:2x - 20 = 24. Add 20 to both sides:2x - 20 + 20 = 2 + 205. Simplify both sides:2x = 226. Divide both sides by 2:7. Simplify both sides:x = 11

6 0

3 years ago

Read 2 more answers

What is the probability of rolling a 2 or not rolling a 2 using a regular 6-sided number cube?

Serggg [28]

Answer:

100%

Step-by-step explanation:

P(=2) = 1/6

P(≠2) = 5/6

P = 1/6 + 5/6 = 6/6 = 1

4 0

3 years ago

The average sneeze can travel three out of hundred miles in three seconds at this rate how far can you travel in one minute

bulgar [2K]

Answer:

$1min = 60 \: s \\ three \: seconds - - - - - 300 \: miles \\ 60 \: seconds = 3 \times 20 \: seconds \\ so \: we \: have \: 20 \: of \: three \: sconds \: \\ which \: means \: 20 \: three \: hundreds \: \\ 20 \times 300 = 6000 \: miles \: \\ and \: we \: are \: done.$

3 0

4 years ago

The grid you see below is in the shape of angle What is the area, in square units of the shaded part?​

The grid you see below is in the shape of angle What is the area, in square units of the shaded part?