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2 years ago

In how many distinct ways can the letters of the word mathematics be arranged? (first, does the order matter?)

1 answer:

4 0

Our current list has 11!/2!11!/2! arrangements which we must divide into equivalence classes just as before, only this time the classes contain arrangements where only the two As are arranged, following this logic requires us to divide by arrangement of the 2 As giving (11!/2!)/2!=11!/(2!2)(11!/2!)/2!=11!/(2!2).

Repeating the process one last time for equivalence classes for arrangements of only T's leads us to divide the list once again by 2

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Please help asap. no fake answers or links. picture below.

sesenic [268]

Answer:

b is the correct answer. I'm sure ♡

Step-by-step explanation:

- don't mind this I had to edit my answer lol. but I hope I helped u good luck. If I'm wrong someone can correct me below ☆

8 0

2 years ago

Can someone help me with this in a scientific notation

Leviafan [203]

Answer:

3.762 x 10^-7

Step-by-step explanation:

Alright this has the same exact concept as other scientific notation problems.

First, multiply your first numbers: 4.18 x 9 = 37.62

Next, we add our powers together -4 +-4 = -8 (can also be read as -4 - 4 = -8)

We now have 37.62 x 10^-8

Wait! This isn't in scientific notation.

Taking a closer look at this we see 37.62 x 10^-8 can be adjusted by moving the decimal over to the left. Scientific notation must be in simplest form with only one number on the left of the decimal. This gives up 3.762.

Now we need to adjust our notation. Since we moved the decimal over one we are adding one more power to our problem.

Our current power of -8 is now adding a power due to moving the decimal place over one unit to the left. This is equivalent to saying -8 + 1 which equals -7. Now that we fixed our powers, we can put our equation back together for our final answer

3.762 x 10^-7

6 0

3 years ago

9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4

Iteru [2.4K]

Step-by-step explanation:

0.06
60%
2/3
3/4

hope it's right :)

8 0

3 years ago

The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school district

Bas_tet [7]

Answer:

A. Because the sample size is very large.

Step-by-step explanation:

The sample is quite large, so the t test is safe. With a sample size of at least 100, this test is going to be safe.

So the correct answer is:

A. Because the sample size is very large.

4 0

3 years ago

Find the value of x and y to the nearest tenth

Readme [11.4K]

The value of 'x' is 24.2 and the value of 'y' is 46.5.

To solve this, we do the following steps.
Step 1: Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.
Step 2: Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
Step 3: Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
Step 4: Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
Step 5: Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.
 y = a + b
y = 17.1 + 29.4
y = 46.5

And there you have it! Hope this helps.

5 0

2 years ago