What is the least common denominator of 3/20 and 8/15?
A.30
B.20
C.5
D.60

Answers

Answer 1

Answer: 5 since both numbers are divisible by 5 and not by any smaller number

Answer 2

Answer: The least common denominator is 5.
This is because all of the other numbers are not divisible by the denominators; they are either greater than one of them or not divisible.

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Find the volume of a cube whose diagonal measures 36√3 cm.
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Nian's graden i 4 1 5 meters long 3 under 10 meter wide what is the area of nians garden

Answers

Answer:

14 meters squared

Step-by-step explanation:

The dimensions of this rectangle are 4 1/5 meters by 10/3 meters. The area of a rectangle is: $A=lw$ , where l is the length and w is the width.

Here, l = 4 1/5 and w = 10/3. We simply multiply them together:

A = (4 1/5) * (10/3)

Let's turn 4 1/5 into an improper fraction to make things easier: 4 1/5 = 21/5. Now:

A = (21/5) * (10/3) = 210/15 = 14

The area is 14 meters squared.

Hope this helps!

Answer:

14m²

Step-by-step explanation:

Area = length × width

length = 4⅕ = 21/5

width = 10/3

Area = 21/5 × 10/3

= 14m²

What is the value of the expression below?

|-12|

Answers

Answer:

the absolute value is 12

Step-by-step explanation:

the absolute value is 12 since that is the distance from 0.

Answer:

Step-by-step explanation:

The absolute value is the distance of a number to zero, which is always a positive number. |-12| is 12 units away from zero and therefore, the answer is 12.

Santino bought a book for $23.54. The price of the book was $22. What was the sales-tax rate?

Answers

We first find value of tax in dollars.

The difference between the two prices is: 23. 54 - 22 = 1.54

Therefore the sales tax in dollars is 1.54

The tax % will be (amount of tax / original cost price ) × 100

(1.54 / 22) × 100 → (0.07) × 100 = 7

So the tax rate is 7%

We can double check the answer.

7 % of 22 → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54

What is 20% off of £1.85? ^_^

Answers

$p\%=(p)/(100)\n\n20\%=(20)/(100)=0.2\n\n20\%\ of\ \£1.85\ is\ 0.2\ *\ \£1.85=\£0.37$

£1.85 ________ 100 %
x ________ 20 %

100x = 20 . 1,85
100x = 37
x = 37 / 100
x = 0,37

is £0,37 !

For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour. Which equation can be used to solve for Carey’s hourly rate, c?

Answers

Carey earns c hourly
Anderson earns $6 hourly which is also 1+ c/2
So, 6=1+c/2
12=2+c
c=$10
Carey earns $10 hourly

For each hour he babysits, Anderson earns $1 more than half of Carey’s hourly rate. Anderson earns $6 per hour.
6 = c/2 + 1
5 = c/2
10 = c

Pulse rates of women are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute.a)What are the values of the mean and standard deviation after converting all pulse rates of women to z-scores using z=(x−μ)/σ?

b)The original pulse rates are measured with units of "beats per minute." What are the units of the corresponding z-scores?

Answers

Answer:

a) Mean=0 and Standard deviation=1

b) The z-scores have no units of measurement

Step-by-step explanation:

When we convert all the pulse rates of women to z-scores using the formula;

$z=(x-\mu)/(\sigma)$ the mean is 0 and the standard deviation is 1.

The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.

b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.

Final answer:

Converting pulse rates into z-scores standardizes them into a standard normal distribution, yielding a mean of zero and a standard deviation of one. Z-scores are dimensionless and do not carry original physical units of measurement.

Explanation:

The question is asking about the properties of a z-score in the context of pulse rates of women. Here is the answer:

a) When converting to z-scores, regardless of the population parameters, the mean (μ) will always be 0 and standard deviation (σ) always 1. This conversion process is called standardization, which results in a standard normal distribution.

b) In the context of z-scores, the units are dimensionless. Because a z-score result is derived from a mathematical manipulation and not a direct measurement, it does not carry physical units like "beats per minute" in pulse rates. This characteristic enables us to make meaningful comparisons between different types of data.