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4 years ago

How many distinguishable 5-letter combinations are possible of the letters of the word TIGHT?

Mathematics

2 answers:

Cloud [144]4 years ago

7 0

The answer is B hope this helps

Anton [14]4 years ago

6 0

Answer:

A. 40 combinations

we have 8 x 5 = 40

Step-by-step explanation:

Would be 60 as 3 letter words with 5 letters.

The logic is that all letters are being used to their maximum and with numbers 3 within 5 or 5 within 5 the maximum that cna be used is 12 rotation for 3 per letter or 8 rotaion for 5. Then we have 5 rotations = 60 for 3 and 40 for 5. Another logic is the many combinations can you make from the numbers 1 2 3 4 5 not multiplying?

The rearrangement of 5 figure numbers will be 5x4x3x2x1 which is 120 combinations, when you don't repeat a number.

We see that 4+3 +2+1 = 10 and shows less than 5 number combinations at 120, and then we have 5

5:10 ratio = 5/15 = 1/3

This = 1/3 of 120 =40

Then we find answer is 40 as compact 5 letter words from the word tight.

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Elenna [48]

We can use the vertical angle theorem which states that any two opposite angles are congruent. So, you can just set the two measures equal to each other and solve for x:
$7x-99=2x+1$
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3 years ago

A College Alcohol Study has interviewed random samples of students at four-year colleges. In the most recent study, 494 of 1000

Vinil7 [7]

Answer:

The 95% confidence interval for the difference between the proportion of women who drink alcohol and the proportion of men who drink alcohol is (-0.102, -0.014) or (-10.2%, -1.4%).

Step-by-step explanation:

We want to calculate the bounds of a 95% confidence interval of the difference between proportions.

For a 95% CI, the critical value for z is z=1.96.

The sample 1 (women), of size n1=1000 has a proportion of p1=0.494.

$p_1=X_1/n_1=494/1000=0.494$

The sample 2 (men), of size n2=1000 has a proportion of p2=0.552.

$p_2=X_2/n_2=552/1000=0.552$

The difference between proportions is (p1-p2)=-0.058.

$p_d=p_1-p_2=0.494-0.552=-0.058$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{494+552}{1000+1000}=\dfrac{1046}{2000}=0.523$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.523*0.477}{1000}+\dfrac{0.523*0.477}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.000249+0.000249}=\sqrt{0.000499}=0.022$

Then, the margin of error is:

$MOE=z \cdot s_{p1-p2}=1.96\cdot 0.022=0.0438$

Then, the lower and upper bounds of the confidence interval are:

$LL=(p_1-p_2)-z\cdot s_{p1-p2} = -0.058-0.0438=-0.102\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= -0.058+0.0438=-0.014$

The 95% confidence interval for the difference between proportions is (-0.102, -0.014).

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3 years ago

Two cities are 3450 miles apart. A plane leaves one of them, traveling towards the other at an average speed of 310 miles per h

Amiraneli [1.4K]

Answer:

5 hours.

Step-by-step explanation:

let they meet after t hours.

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690t=3450

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3 years ago

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zhuklara [117]

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