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1 year ago

consider the standard normal distribution. the mean is always _ and the standard deviation is always _ .

1 answer:

3 0

In the standard normal distribution. the mean is always ZERO and the standard deviation is always ONE .

We have to know about the normal distribution. It is a bell-shaped, symmetrical distribution in which the mean, median and mode are all equal. It also consists another important keywords like...

1.Z scores which are also known as standard scores. The number of standard deviations that a given raw score falls above or below the mean

2.Standard normal distribution is a normal distribution represented in z scores. The standard normal distribution always has a mean of zero and a standard deviation of one.

To know more about the standard normal distribution

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after two years on the job, an engineer salary was $60,000. after seven years on the job, her salary was $66,000. let y represen

galina1969 [7]

Answer: y = 1200m + 57,600

Step-by-step explanation: To be a line, let's say that x is the numbers of years on the job and y the salary.

So, we have (2,60000) and (7,66000)

y = mx + b

66000 = 7m + b

60000 = 2m + b (-)

________________________

6000 = 5m

m = 6000/5 = 1200

60000 = 2m + b

60000 = 2.1200 + b

60000 = 2400 + b

b = 60000 - 2400

b = 57600

y = mx + b

y = 1200m + 57,600

8 0

3 years ago

In △MDK, m=16.4, d=22, and k=19. Identify m∠D rounded to the nearest degree. The figure shows triangle M D K. The length of side

Alex_Xolod [135]

The length of the sides,MD, DK, and KM gives the measure of the angle m<D as c) 76°

<h3>Which method can be used to find the measure of angle m<D?</h3>

In triangle ∆MDK, we have;

m = 16.4

d = 22

k = 19

Using cosine rule, we get;

d² = m² + k² - 2•m•k•cos(D)

Therefore;

2•m•k•cos(D) = m² + k² - d²

$D = arccos \left( \frac{ {m}^{2} + {k}^{2} - {d}^{2} }{2 \cdot m \cdot k} \right)$

Which gives;

$D = arccos \left( \frac{ {16.4}^{2} + {19}^{2} - {22}^{2} }{2 \times 16.4 \times 19} \right) \approx {76}^{ \circ}$

m<D = 76°

The correct option is therefore;

c) 76°

Learn more about the rule of cosines here:

brainly.com/question/4316134

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6 0

2 years ago

Kelly is using a bucket to fill up a beer with water from a well. the barrel holds 25.5 liters. the bucket holds 800 millimeters

Lady bird [3.3K]

26 buckets. First I did 25.5 - 5.2 and got 20.3. Then I did 20.3 times 1000. Then divided that answer by 800. And got 25.375. Which rounds to 26.

8 0

4 years ago

The base of a rectangle is 4ft and the height is 12 in. what is the formula for the perimeter

Trava [24]

The perimeter is the continuous line forming the boundary of a closed geometrical figure.i.e. sum of all the outside sides

In rectangle , there are two Height and 2 breadth

So, perimeter of rectangle = Height +Height + Breadth + Breadth

Perimeter of Rectangle = 2 Height + 2 Breadth

Perimeter of Rectangle = 2 ( Height + Breadth )

In the given question we have : Height = 12 in, Breadth =4 ft

Here the Standard Unit of Height and Breadth are different

Convert Height = 12 in into feet

1 feet = 12 inch

So, 12 in = 1 ft

Height = 12in = 1 ft

Thus, we have now : Height = 1 ft, Breadth =4 ft

Substitute the value in expression of perimeter :

Perimeter of Rectangle = 2 ( Height + Breadth )

Perimeter of Rectangle = 2 ( 1 + 4 )

Perimeter of Rectangle = 2 ( 5 )

Perimeter of Rectangle = 10 ft

Answer : Perimeter of Rectangle is 10 ft

Formula of Perimeter is 2 ( Height + Breadth )

7 0

2 years ago

Over the last three evenings, Melissa received a total of 126 phone calls at the call center. The first evening, she received 6

krok68 [10]

Answer:

calls first evening = 26

calls second evening = 80

calls third evening = 20

Step-by-step explanation:

Let x = calls third evening

x+6 = calls first evening

4x = calls second evening

x+6 + 4x + x = total calls = 126

Combine like terms

6x+6 = 126

Subtract 6 from each side

6x =120

Divide by 6

6x/6 =120/6

x = 20

x+6 = calls first evening = 20+6 = 26

4x = calls second evening = 4*20 = 80

Let x = calls third evening = 20

6 0

4 years ago

consider the standard normal distribution. the mean is always ___ and the standard deviation is always ___ .

consider the standard normal distribution. the mean is always _ and the standard deviation is always _ .