If y varies directly with x and x=21 and y=14, what is the constant of proportionality?

Answers

Answer 1
Answer: Y varies directly with x
y = kx

y=14
x=21

14 = 21k

(14)/(21)(21k)/(21)
21 and 21 cancels out

(2)/(3) = k

The constant of this proportionality is (2)/(3)

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Evaluate: x = y² if x = 8 and y = 3A. 2B. 509C. 25D. -1​

-6x +6x-1 simplified

Answers

Answer:

-1

Step-by-step explanation:

I hope this helps!

How do you solve 12.42 ÷ 4.6? I have a test tomorrow ​

Answers

Answer:

Just keep dividing like what I did in this image.

How do you reduce fractions?1. 4/12=

2. 8/14=

3. 6/8=

4. 3/6=

5. 5/15=

Answers

4/12=1/3
8/14=4/7
6/8=3/4
3/6=1/2
5/15=1/3

If a > 0 and b < 0, then which of the following must be true.ab > 0

a + b < 0

a - b > 0

a + b > 0

b - a > 0

Answers

We need to find the correct answer on the given choices:

If a > 0 and b < 0, then The answer is a + b > 0
let’s give a specific example:
let’s have a = 1
and b = .20

Now, let’s try calculating if our answer is correct.
Thus a + b > 0
=> a + b
=> 1 + .20
=> 1.20
and 1.20 is greater than 0.
=>Therefore 1.20 > 0 = a + b > 0




In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z = In a normal distribution, a data value located 2.4 standard deviations above the mean has Standard Score: z =

In a normal distribution, the mean has Standard Score: z =

Answers

Using the normal distribution, it is found that the z-scores are:

1) z = -0.8

2) z = 2.4

3) z = 0

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = (X - \mu)/(\sigma)

  • It measures how many standard deviations the measure is from the mean, either above the mean(positive z-score), or below(negative z-score).

Item 1:

0.8 standard deviations below the mean, hence z = -0.8.

Item 2:

2.4 standard deviations above the mean, hence z = 2.4.

Item 3:

The mean is 0 standard deviations from itself, hence z = 0.

A similar problem is given at brainly.com/question/24663213

Final answer:

A standard score (z-score) signifies how many standard deviations a data point is away from the mean. A data value 0.8 standard deviations below the mean has a z-score of -0.8, meanwhile, if it is 2.4 standard deviations above the mean, its z-score is 2.4. The mean in a normal distribution has a z-score of 0.

Explanation:

In the field of statistics, a standard score (also known as a z-score) represents how many standard deviations an element is from the mean. In a normal distribution, a data value located 0.8 standard deviations below the mean has a Standard Score: z = -0.8. This is because the z-score is negative when the data value is below the mean. Conversely, a data value located 2.4 standard deviations above the mean has a Standard Score: z = 2.4. As the data value is above the mean, the z-score is positive. Finally, for the mean value itself in a normal distribution, the Standard Score: z = 0 because the mean value is the center of distribution, hence no deviation from itself.

Learn more about Standard Score here:

brainly.com/question/24210074

#SPJ3

Plz answer all 1.

(1 pt)


What is the area of the rectangle?





A.


0.9416 mi²


B.


1.8832 mi²


C.


1.95 mi²


D.


3.90 mi²


2.

(1 pt)


What is the area of the rectangle?





A.


40 km2


B.


40 m2


C.


26 km2


D.


26 m2


3.

(1 pt)
What is the area of the rectangle?




A.


1.125 yd²


B.


2.250 yd²


C.


4.50 yd²


D.


11.25 yd²


4.

(1 pt)
What is the area of a rectangular playground with a length of 84.5 ft and a width of 53 ft?


A.


137.5 ft²


B.


275 ft²


C.


4478.5 ft²


D.


44,785 ft²

5.

(1 pt)
Which measurement is the closest approximation of the rectangle’s area?




A.


16 m²


B.


32 m²


C.


65 m²


D.


70 m²

Answers

The area of a rectangle is equal to length times width.
There are no dimensions available here, so i have no idea what the questions are talking about.
but i can help u with 4.
so multiply 84.5 * 53, that equals 4,478.5