MATHEMATICS HIGH SCHOOL

Bill has 4 letter blocks: A, B, C and D. In how many different ways can Bill arrange the blocks in a row?

6, 12, 18 or 24?

Answers

Answer 1
Answer:

The number of different ways can Bill arrange the blocks in a row will be 24. Then the correct option is D.

What are permutation and combination?

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Bill has 4 letter blocks: A, B, C, and D.

The number of different ways can Bill arrange the blocks in a row will be

⇒ 4!

⇒ 4 x 3 x 2 x 1

⇒ 24

The number of different ways can Bill arrange the blocks in a row will be 24. Then the correct option is D.

More about the permutation and the combination link is given below.

brainly.com/question/11732255

#SPJ2
Answer 2
Answer: 24 ways in which the blocks can be arranged

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In a sample of 50 households, the mean number of hours spent on social networking sites during the month of January was 45 hours. In a much larger study, the standard deviation was determined to be 8 hours. Assume the population standard deviation is the same. Which of the statement below best describes that there is a 95% confidence interval for the mean hours devoted to social networking in January? A. The 95% confidence interval ranges from 8 to 45 hours. B. The 95% confidence interval ranges from 40.13 to 45.78 hours. C. The 95% confidence interval ranges from 43.87 to 46.13 hours. D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Answers

Answer:

D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

Step-by-step explanation:

In a sample of 50 households, the mean number of hours spent on social networking sites during the month of January was 45 hours. In a much larger study, the standard deviation was determined to be 8 hours.

Here,

n = sample size = 50,

μ = mean = 45,

σ = standard deviation = 8,

We know that, confidence interval will be,

=\mu\ \pm\ z(\sigma )/(√(n))

For a confidence interval of 95%, we use z = 1.96, putting the values

=45\ \pm\ 1.96(8)/(√(50))

=42.78,47.22
D. The 95% confidence interval ranges from 42.78 to 47.22 hours.

To solve the interval, we used the upper and lower limit formulas wherein:
xbar = 45
z = 1.96
s = 8
n = 50

Which of the following groups has terms that can be used interchangeably with the others?1. Percentage, Probability, and Proportion2. Critical Value, Probability, and Proportion3. Critical Value, Percentage, and Probability4. Critical Value, Percentage, and Proportion

Answers

Answer: 1) Percentage, Probability, Proportion

Step-by-step explanation:

In statistics,

▪Proportion means a fraction of the total.

▪Percentage means a number or a ratio, expressed as a fraction of 100. Here, the total is 100.

▪Probability which may look slightly different from the other two means a number between 0 and 1, showing the exact likelihood of an event happening. Which in context can mean, a number showing a fraction of an event happening out of the whole (0 to 1).

▪Critical value means a point in hypothesis testing on the test distribution that is compared to the test statistic to determine whether to reject the null hypothesis.

In the four definitions, the odd one out is Critical Value.

So the option without critical value in it is option 1) Percentage, Probability, Proportion since we can use the three interchangeable.

Answer:

1. Percentage, Probability, and Proportion

Step-by-step explanation:

Proportion means a portion of a whole e.g. 2/5

Percentage means a ratio of a number expressed as a fraction of 100 e.g 20/100

Probability- This means the likelihood of an event to occur e.g 1/2

All these three terms are usually expressed as a Fraction of a Number which makes them similar.

WXYZ IS A RECTANGLE. What is ZX?

Answers

ZX is one side out of the triangle 
ZX is a diagonal line from one point (corner) of the rectangle to the the other point (corner).

Hoped I helped!

Question answer now please

Answers

A certain clock requires a weight lifted up once a day. The weight provides the energy that allows the clock to keep running. Identify the transformation of that powers a grandfather clock.

Trapezoid TUVM is rotated 90 counterclockwise about the origin. After the rotation, what is the location of vertex V?A (2,-6)

B (-6,2)

C (6,-2’

D (-2,6)

Answers

Answer:

D

Step-by-step explanation:

Under a counter clockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

V (6, 2 ) → V' (- 2, 6 ) → D

PLEASE HELP LAST QUESTION

Answers

13,61,25,19,41 
:) hope i could help :)
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